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Why Do We Ignore Risk in Power Economics? 
University of Copenhagen 
Sean P. Meyn 
Prabir Barooah, Ana Busic, In-Koo Cho, Anupama Kowli 
Matias Negrete-Pincetic, Ehsan Sha
eeporfaard, Uday Shanbhag, and Gui Wang 
Electrical and Computer Engineering 
University of Florida 
Thanks to NSF, AFOSR, and DOE / TCIPG 
November 25, 2014
Why Do We Ignore Risk in Power Economics? 
Outline 
1 What is the Value of Power? 
2 Smart Markets Today 
3 Competitive Equilibrium Theory 
4 FERC 745: DR for Spinning Reserves 
5 FERC 755: AGC from DR 
6 Demand Dispatch 
7 Conclusions  Suggestions
What is the Value of Power?
What is the Value of Power? 
What is the Value of Power? 
A short quiz 
Wind generation 
for one day in the 
Pacic Northwest 
Price is $20/MWh 
8000 
6000 
4000 
2000 
0 
April 6 
MW 
1600 MW average output 
1 / 47
What is the Value of Power? 
What is the Value of Power? 
A short quiz 
Wind generation 
for one day in the 
Pacic Northwest 
Price is $20/MWh 
8000 
6000 
4000 
2000 
0 
April 6 
MW 
1600 MW average output 
Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? 
2 / 47
What is the Value of Power? 
What is the Value of Power? 
A short quiz 
Zero net power 
Price is $20/MWh 
800 
600 
400 
200 
0 
−200 
−400 
−600 
−800 
-1000 
April 3 April 4 April 5 April 6 April 7 April 8 April 9 
MW 
3 / 47
What is the Value of Power? 
What is the Value of Power? 
A short quiz 
Zero net power 
Price is $20/MWh 
800 
600 
400 
200 
0 
−200 
−400 
−600 
−800 
-1000 
April 3 April 4 April 5 April 6 April 7 April 8 April 9 
MW 
Value = 0 MW x 7 days x $20/MWh = $0 ? 
4 / 47
What is the Value of Power? 
What is the Value of Power? 
A short quiz 
Zero net power 
Price is $20/MWh 
Answers to be submitted at the end of lecture 
800 
600 
400 
200 
0 
−200 
−400 
−600 
−800 
-1000 
April 3 April 4 April 5 April 6 April 7 April 8 April 9 
MW 
5 / 47
Smart Markets Today
Smart Markets Today 
Midwest ISO Today 
Typical real-time prices mid-morning in the Midwest 
10 April 2013 06:15 10 April 2013 06:20 10 April 2013 07:30 
10 April 2013 07:35 10 April 2013 07:50 10 April 2013 08:35 
6 / 47
Smart Markets Today 
Midwest ISO Today 
Typical real-time prices mid-morning in the Midwest 
10 April 2013 10:15 10 April 2013 10:30 10 April 2013 10:35 
10 April 2013 11:30 10 April 2013 11:35 10 April 2013 12:05 
7 / 47
Smart Markets Today 
Midwest ISO Today 
Typical real-time prices mid-morning in the Midwest 
11 April 2013 07:25 11 April 2013 07:30 11 April 2013 07:35 
10 April 2013 09:15 10 April 2013 09:20 10 April 2013 09:25 
8 / 47
Smart Markets Today 
Midwest ISO Today 
9 / 47
Smart Markets Today 
Midwest ISO Today 
Prices depend on time, location and context 
9 / 47
Smart Markets Today 
Cold Causes Price Spikes 
Texas today: Winter of 2011 
3000 $/MWh 
Power Prices in Texas 
January 31, 2011 
$/MWh February 2, 2011 
2000 
1000 
0 
5am 10am 3pm 8pm −500 
80 
60 
40 
20 
10 
0 
−10 
5am 10am 3pm 8pm 
10 / 47
Smart Markets Today 
Cold Causes Price Spikes 
Texas today: Winter of 2011 
3000 $/MWh 
Power Prices in Texas 
January 31, 2011 
$/MWh February 2, 2011 
2000 
1000 
0 
5am 10am 3pm 8pm −500 
80 
60 
40 
20 
10 
0 
−10 
5am 10am 3pm 8pm 
There will be multiple autopsies of the causes for the latest power breakdowns ... Who 
pro
ted o this near-meltdown and what can be done to incentivize power producers to 
maintain adequate reserve capacity for emergencies rather than waiting for emergency 
windfalls? { HOUSTON CHRONICLE, Feb 12, 2011 
New report hits ERCOT, electricity deregulation: A report released Monday concludes 
that electric deregulation has cost Texas residential consumers more than $11 billion in 
higher rates... { Dallas Morning News, Feb 14, 2011 
10 / 47
Smart Markets Today 
Cold Causes Price Spikes 
Texas today: Winter of 2011 
3000 $/MWh 
Power Prices in Texas 
January 31, 2011 
$/MWh February 2, 2011 
2000 
1000 
0 
5am 10am 3pm 8pm −500 
80 
60 
40 
20 
10 
0 
−10 
5am 10am 3pm 8pm 
Proposed Remedy Public Utility Commission of Texas (PUCT) 
... considering raising oer caps to as high as $9,000/MWh, 
among other measures. [Brattle Group, June 1 2012] 
10 / 47
Smart Markets Today 
Cold Causes Price Spikes 
Texas today: Winter of 2011 
3000 $/MWh 
Power Prices in Texas 
January 31, 2011 
$/MWh February 2, 2011 
2000 
1000 
0 
5am 10am 3pm 8pm −500 
80 
60 
40 
20 
10 
0 
−10 
5am 10am 3pm 8pm 
Proposed Remedy Public Utility Commission of Texas (PUCT) 
... considering raising oer caps to as high as $9,000/MWh, 
among other measures. [Brattle Group, June 1 2012] 
Ecient Outcome! October 25, 2012: The Public Utility Commission of Texas has 
approved a series of increases in the ERCOT high system-wide oer cap (HCAP) 
starting June 1, 2013, with the cap eventually reaching $9,000/MWh. 
10 / 47
Smart Markets Today 
Day-Ahead Market Outcomes 
Texas today: Summer of 2011 
ERCOT North Zone - August 1-30, 2011 
Hourly day-ahead, daily on-peak, and monthly weighted average prices 
3,000 
2,500 
2,000 
1,500 
1,000 
500 
0 
wholesale price ($/MWh) 
hourly, day-ahead price 
daily, on-peak price 
weighted average monthly 
price ($188/MWh) 
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 
Source: U.S. Energy Information Administration, based on the Electric Reliability Council of Texas (ERCOT). 
Note: ERCOT North Zone includes Dallas/Fort Worth metro region and surrounding areas of Northeast Texas. On-Peak refers 
to the 16-hour time block from hours ending 7:00 a.m. to 10:00 p.m. CDT on weekdays, excluding NERC holidays. 
Source: U.S. Energy Information Administration, based on the Electric Reliability Council of Texas (ERCOT). 
Note: ERCOT North Zone includes Dallas/Fort Worth metro region and surrounding areas of Northeast Texas. On-Peak 
refers to the 16-hour time block from hours ending 7:00 a.m. to 10:00 p.m. CDT on weekdays, excluding NERC holidays 
11 / 47
Smart Markets Today 
Ordinary Day { Price Spikes 
Texas today: As I prepare this lecture, 2014 
12 / 47
Smart Markets Today 
Madness in New Zealand 
New Zealand today: March 25, 2011 
A typical day in the New Zealand power market on the N. Island 
Otahuhu 
Stratford 
http://www.electricityinfo.co.nz/ 
Nodal Power Prices in NZ: $/MWh 
100 
50 
0 
4am 9am 2pm 7pm 
13 / 47
Smart Markets Today 
Madness in New Zealand 
New Zealand today: March 26, 2011 
$25 million dollars extracted by the generators in just six hours 
Otahuhu 
Stratford 
Nodal Power Prices in NZ: $/MWh 
4am 9am 2pm 7pm http://www.electricityinfo.co.nz/ 
20,000 
10,000 
0 
14 / 47
Smart Markets Today 
Madness in New Zealand 
New Zealand today: March 26, 2011 
$20 million dollars demanded back from Genesis 
Otahuhu 
Stratford 
Nodal Power Prices in NZ: $/MWh 
4am 9am 2pm 7pm http://www.electricityinfo.co.nz/ 
20,000 
10,000 
0 
Preliminary view of NZ Electrical Authority: Genesis was not guilty of 
manipulative ... or deceptive conduct. However, high prices threatened to 
14 / 47
Smart Markets Today 
Madness in New Zealand 
New Zealand today: March 26, 2011 
$20 million dollars demanded back from Genesis 
Otahuhu 
Stratford 
Nodal Power Prices in NZ: $/MWh 
4am 9am 2pm 7pm http://www.electricityinfo.co.nz/ 
20,000 
10,000 
0 
Preliminary view of NZ Electrical Authority: Genesis was not guilty of 
manipulative ... or deceptive conduct. However, high prices threatened to 
undermine con
dence in, and ... damage the integrity and reputation of the 
wholesale electricity market 3:59 PM Friday May 6, 2011 www.nzherald.co.nz 
14 / 47
Price (Aus $/MWh) 
Volume (MW) 
Price (Aus $/MWh) 
Volume (MW) 
Demand 
Demand 
Prices 
Prices 
24:00 
23:00 
22:00 
21:00 
20:00 
19:00 
18:00 
17:00 
16:00 
15:00 
14:00 
13:00 
12:00 
11:00 
10:00 
09:00 
08:00 
07:00 
06:00 
05:00 
04:00 
03:00 
02:00 
01:00 
00:00 
24:00 
23:00 
22:00 
21:00 
20:00 
19:00 
18:00 
17:00 
16:00 
15:00 
14:00 
13:00 
12:00 
11:00 
10:00 
09:00 
08:00 
07:00 
06:00 
05:00 
04:00 
03:00 
02:00 
01:00 
00:00 
Victoria Tasmania 
10,000 
1,400 
19,000 
1,000 
1,200 
1,000 
800 
600 
400 
- 1,000 
200 
- 1,500 
0 
0 
1,000 
- 1,000 
9,000 
8,000 
10,000 
7,000 
6,000 
5,000 
4,000 
3,000 
2,000 
1,000 
0 
Competitive Equilibrium Theory
Competitive Equilibrium Theory 
Equilibrium with Dynamics  Network Constraints 
Entropic prices 
Theorem 1: When dynamics (temporal constraints) are taken into 
account, price is never equal to marginal cost [4, 3, 2, 1] 
15 / 47
Competitive Equilibrium Theory 
Equilibrium with Dynamics  Network Constraints 
Entropic prices 
Theorem 1: When dynamics (temporal constraints) are taken into 
account, price is never equal to marginal cost [4, 3, 2, 1] 
Equilibrium price 
The equilibrium price process is a function of equilibrium reserves: 
P(t) = p(Re(t)) 
The marginal value of power to the consumer. 
15 / 47
Competitive Equilibrium Theory 
Equilibrium with Dynamics  Network Constraints 
Entropic prices 
Theorem 1: When dynamics (temporal constraints) are taken into 
account, price is never equal to marginal cost [4, 3, 2, 1] 
Equilibrium price 
The equilibrium price process is a function of equilibrium reserves: 
P(t) = p(Re(t)) 
The marginal value of power to the consumer. 
Proof: Lagrangian decomposition, 
as in the static Second Welfare Theorem 
15 / 47
Competitive Equilibrium Theory 
Equilibrium with Dynamics  Network Constraints 
Entropic prices 
What is marginal value? 
It is not always obvious. With the introduction of network constraints, 
16 / 47
Competitive Equilibrium Theory 
Equilibrium with Dynamics  Network Constraints 
Entropic prices 
What is marginal value? 
It is not always obvious. With the introduction of network constraints, 
Prices can go well beyond choke-up price (as de
ned in static model) 
Prices can go well below zero 
[Dynamic competitive equilibria in electricity markets. Wang et. al. 2011] 
16 / 47
Competitive Equilibrium Theory 
Equilibrium with Dynamics  Network Constraints 
Entropic prices 
What is marginal value? 
It is not always obvious. With the introduction of network constraints, 
Prices can go well beyond choke-up price (as de
ned in static model) 
Prices can go well below zero 
[Dynamic competitive equilibria in electricity markets. Wang et. al. 2011] 
Without price-caps, Australia might look like an ecient equilibrium: 
Price (Aus $/MWh) 
Volume (MW) 
Price (Aus $/MWh) 
Volume (MW) 
Demand 
Demand 
Prices 
Prices 
24:00 
23:00 
22:00 
21:00 
20:00 
19:00 
18:00 
17:00 
16:00 
15:00 
14:00 
13:00 
12:00 
11:00 
10:00 
09:00 
08:00 
07:00 
06:00 
05:00 
04:00 
03:00 
02:00 
01:00 
00:00 
24:00 
23:00 
22:00 
21:00 
20:00 
19:00 
18:00 
17:00 
16:00 
15:00 
14:00 
13:00 
12:00 
11:00 
10:00 
09:00 
08:00 
07:00 
06:00 
05:00 
04:00 
03:00 
02:00 
01:00 
00:00 
Victoria Tasmania 
10,000 
1,400 
19,000 
1,000 
1,200 
1,000 
800 
600 
400 
- 1,000 
200 
- 1,500 
0 
0 
1,000 
- 1,000 
9,000 
8,000 
10,000 
7,000 
6,000 
5,000 
4,000 
3,000 
2,000 
1,000 
0 
16 / 47
Competitive Equilibrium Theory 
Sustainable business? 
Marginal value of electricity, 
$250,000/MWh (?) 
Illinois: July 1998 California: July 2000 
Purchase Price $/MWh 
Previous week 
Spinning reserve prices PX prices $/MWh 
250 
200 
150 
100 
50 
0 
70 
60 
50 
40 
30 
20 
10 
Texas: February 2, 2011 
Ontario: November, 2005 
5000 
4000 
3000 
2000 
1000 
0 
Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds 
Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 
Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 
3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time 
Tues Weds Thurs 
21000 
18000 
15000 
1500 
1000 
500 
0 
Forecast Prices Forecast Demand 
3000 
2000 
1000 
0 
$/MWh 
Average price 
is usually $30 
5am 10am 3pm 8pm −500 
$/MWh 
17 / 47
Competitive Equilibrium Theory 
Sustainable business? 
Marginal value of electricity, 
$250,000/MWh (?) 
Illinois: July 1998 California: July 2000 
Purchase Price $/MWh 
Previous week 
Spinning reserve prices PX prices $/MWh 
250 
200 
150 
100 
50 
0 
70 
60 
50 
40 
30 
20 
10 
Texas: February 2, 2011 
Ontario: November, 2005 
5000 
4000 
3000 
2000 
1000 
0 
Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds 
Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 
Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 
3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time 
Tues Weds Thurs 
21000 
18000 
15000 
1500 
1000 
500 
0 
Forecast Prices Forecast Demand 
3000 
2000 
1000 
0 
$/MWh 
Average price 
is usually $30 
5am 10am 3pm 8pm −500 
$/MWh 
However, 
17 / 47
Competitive Equilibrium Theory 
Sustainable business? 
Marginal value of electricity, 
$250,000/MWh (?) 
Illinois: July 1998 California: July 2000 
Purchase Price $/MWh 
Previous week 
Spinning reserve prices PX prices $/MWh 
250 
200 
150 
100 
50 
0 
70 
60 
50 
40 
30 
20 
10 
Texas: February 2, 2011 
Ontario: November, 2005 
5000 
4000 
3000 
2000 
1000 
0 
Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds 
Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 
Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 
3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time 
Tues Weds Thurs 
21000 
18000 
15000 
1500 
1000 
500 
0 
Forecast Prices Forecast Demand 
3000 
2000 
1000 
0 
$/MWh 
Average price 
is usually $30 
5am 10am 3pm 8pm −500 
$/MWh 
However, 
Theorem 2: In this equilibrium, the average price is 
precisely the average marginal cost 
Proof: Lagrangian relaxation of initial condition. 
17 / 47
Competitive Equilibrium Theory 
Sustainable business? 
Marginal value of electricity, 
$250,000/MWh (?) 
Illinois: July 1998 California: July 2000 
Purchase Price $/MWh 
Previous week 
Spinning reserve prices PX prices $/MWh 
250 
200 
150 
100 
50 
0 
70 
60 
50 
40 
30 
20 
10 
Texas: February 2, 2011 
Ontario: November, 2005 
5000 
4000 
3000 
2000 
1000 
0 
Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds 
Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 
Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 
3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time 
Tues Weds Thurs 
21000 
18000 
15000 
1500 
1000 
500 
0 
Forecast Prices Forecast Demand 
3000 
2000 
1000 
0 
$/MWh 
Average price 
is usually $30 
5am 10am 3pm 8pm −500 
$/MWh 
However, 
Theorem 2: In this equilibrium, the average price is 
precisely the average marginal cost 
Proof: Lagrangian relaxation of initial condition. 
Is this a sustainable business? 
17 / 47
Competitive Equilibrium Theory 
Little Incentive for Regulation 
Figure 3 Average 2012 daily ve-minute and hour-ahead prices are more volatile than the day-ahead price pattern 
B. Kirby, The Value of Flexible Generation, 2013 
18 / 47
Competitive Equilibrium Theory 
Little Incentive for Regulation 
Figure 3 Average 2012 daily ve-minute and hour-ahead prices are more volatile than the day-ahead price pattern 
B. Kirby, The Value of Flexible Generation, 2013 
Average prices in the real-time market nearly equal day-ahead prices. 
18 / 47
Competitive Equilibrium Theory 
Little Incentive for Regulation 
Figure 3 Average 2012 daily ve-minute and hour-ahead prices are more volatile than the day-ahead price pattern 
B. Kirby, The Value of Flexible Generation, 2013 
Average prices in the real-time market nearly equal day-ahead prices. 
RTM6= Regulation, but similar 
18 / 47
Contour Map: Real Time Market - Locational Marginal Pricing Help? 
$10/MWh 
Nirvana @ ERCOT 
FERC 745: DR for Spinning Reserves
FERC 745: DR for Spinning Reserves 
Origin of FERC 745 { Incentives for Demand Response 
EnerNOC's plea: (amongst others) 
... demand response resources simply cannot be procured because they do 
not yet exist as resources. Such investment will not occur so long as 
compensation undervalues demand response resources. 
19 / 47
FERC 745: DR for Spinning Reserves 
Origin of FERC 745 { Incentives for Demand Response 
EnerNOC's plea: (amongst others) 
... demand response resources simply cannot be procured because they do 
not yet exist as resources. Such investment will not occur so long as 
compensation undervalues demand response resources. 
FERC's Decision: The Commission concludes that paying LMP can 
address the identi
ed barriers to potential demand response providers. 
19 / 47
FERC 745: DR for Spinning Reserves 
Origin of FERC 745 { Incentives for Demand Response 
EnerNOC's plea: (amongst others) 
... demand response resources simply cannot be procured because they do 
not yet exist as resources. Such investment will not occur so long as 
compensation undervalues demand response resources. 
FERC's Decision: The Commission concludes that paying LMP can 
address the identi
ed barriers to potential demand response providers. 
FERC 745 is Born! 
134 FERC {61,187 
UNITED STATES OF AMERICA 
FEDERAL ENERGY REGULATORY COMMISSION 
18 CFR Part 35 
[Docket No. RM10-17-000; Order No. 745] 
Demand Response Compensation in Organized Wholesale Energy Markets 
(Issued March 15, 2011) 
19 / 47
FERC 745: DR for Spinning Reserves 
Origin of FERC 745 { Incentives for Demand Response 
EnerNOC's plea: (amongst others) 
... demand response resources simply cannot be procured because they do 
not yet exist as resources. Such investment will not occur so long as 
compensation undervalues demand response resources. 
FERC's Decision: The Commission concludes that paying LMP can 
address the identi
ed barriers to potential demand response providers. 
FERC 745 is Born! 
134 FERC {61,187 
UNITED STATES OF AMERICA 
FEDERAL ENERGY REGULATORY COMMISSION 
18 CFR Part 35 
[Docket No. RM10-17-000; Order No. 745] 
Demand Response Compensation in Organized Wholesale Energy Markets 
(Issued March 15, 2011) 
The outcome? 
19 / 47
FERC 745: DR for Spinning Reserves 
FERC 745 Is Dead! 
20 / 47
FERC 745: DR for Spinning Reserves 
FERC 745 Is Dead! 
Conjecture: It had to die. 
20 / 47
FERC 745: DR for Spinning Reserves 
FERC 745 Is Dead! 
Conjecture: It had to die. 
FERC 745 Nirvana: 
Peaks shaved! 
20 / 47
FERC 745: DR for Spinning Reserves 
FERC 745 Is Dead! 
Conjecture: It had to die. 
FERC 745 Nirvana: 
Peaks shaved! 
Contingencies resolved in seconds!! 
Prices smoothed to Marginal Cost! 
20 / 47
FERC 745: DR for Spinning Reserves 
FERC 745 Is Dead! 
Conjecture: It had to die. 
FERC 745 Nirvana: 
Peaks shaved! 
Contingencies resolved in seconds!! 
Prices smoothed to Marginal Cost! 
Contour Map: Real Time Market - Locational Marginal Pricing Help? 
$10/MWh 
Nirvana @ ERCOT 
20 / 47
FERC 745: DR for Spinning Reserves 
FERC 745 Is Dead! 
Conjecture: It had to die. 
FERC 745 Nirvana: 
Peaks shaved! 
Contingencies resolved in seconds!! 
Prices smoothed to Marginal Cost! 
Contour Map: Real Time Market - Locational Marginal Pricing Help? 
$10/MWh 
Nirvana @ ERCOT 
The problem: In this market, there is no opportunity without crisis 
20 / 47
FERC 745: DR for Spinning Reserves 
FERC 745 Is Dead! 
Conjecture: It had to die. 
FERC 745 Nirvana: 
Peaks shaved! 
Contingencies resolved in seconds!! 
Prices smoothed to Marginal Cost! 
Contour Map: Real Time Market - Locational Marginal Pricing Help? 
$10/MWh 
Nirvana @ ERCOT 
The problem: In this market, there is no opportunity without crisis 
The paradox: In this nirvana, 
there is no business case for demand response 
20 / 47
SEPTEMBER 2012 OCTOBER 2012 
$38.75 
MWh 
PJM coordinates frequency regulation through two dierent control signals: 
RegD - fast moving dynamic regulation (e.g. batteries, ywheels) 
RegA - traditional regulation resources (e.g. gas turbine) 
PJM introduces a second, fast 
moving regulation signal (RegD) 
Regulation requirements 
reduced by 22% 
Further reductions 
since then - now 30% 
PAY FOR PERFORMANCE IMPLEMENTED 
$13.75 
MWh 
MARKET CLEARING PRICES 
DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) 
OCTOBER 2013 
OCTOBER 2012 
FERC 755: AGC from DR
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
October 20, 2011: New rules for compensating frequency regulation 
resources: 
FERC 755 required ISO/RTOs to pay regulation resources based on 
actual amount of regulation service provided (speed and accuracy). 
21 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
October 20, 2011: New rules for compensating frequency regulation 
resources: 
FERC 755 required ISO/RTOs to pay regulation resources based on 
actual amount of regulation service provided (speed and accuracy). 
FERC's motivation: 
Current compensation for frequency regulation is unjust... 
Increasing need for frequency regulation service 
21 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
October 20, 2011: New rules for compensating frequency regulation 
resources: 
FERC 755 required ISO/RTOs to pay regulation resources based on 
actual amount of regulation service provided (speed and accuracy). 
FERC's motivation: 
Current compensation for frequency regulation is unjust... 
Increasing need for frequency regulation service 
... allowing the market to establish the compensation for resources' 
performance will allow more economically ecient outcomes and 
create appropriate incentives ... 
21 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
Time 
Regulation Required @ MISO 
600 
400 
200 
0 
-200 
-400 
Two part settlement: 
1 A uniform price for frequency regulation capacity paid to all cleared 
resources 
2 Performance payment for the provision of frequency regulation 
service, with the latter payment re
ecting a resource's accuracy of 
performance. 
22 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
Time 
Regulation Required @ MISO 
600 
400 
200 
0 
-200 
-400 
Two part settlement: 
1 A uniform price for frequency regulation capacity paid to all cleared 
resources 
2 Performance payment for the provision of frequency regulation 
service, with the latter payment re
ecting a resource's accuracy of 
performance. 
Performance? 
22 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
Time 
Regulation Required @ MISO 
600 
400 
200 
0 
-200 
-400 
Two part settlement: 
1 A uniform price for frequency regulation capacity paid to all cleared 
resources 
2 Performance payment for the provision of frequency regulation 
service, with the latter payment re
ecting a resource's accuracy of 
performance. 
Performance? Now interpreted as mileage: 
Payment / 
Z T 
0
d 
dt 
G(t)j dt (or discrete-time equivalent) 
22 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
Time 
Regulation Required @ MISO 
600 
400 
200 
0 
-200 
-400 
Two part settlement: 
1 A uniform price for frequency regulation capacity paid to all cleared 
resources 
2 Performance payment for the provision of frequency regulation 
service, with the latter payment re
ecting a resource's accuracy of 
performance. 
Performance? Now interpreted as mileage: 
Payment / 
Z T 
0
d 
dt 
G(t)j dt (or discrete-time equivalent) 
Is this nuts? 
22 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance 
Time 
Regulation Required @ MISO 
600 
400 
200 
0 
-200 
-400 
Two part settlement: 
1 A uniform price for frequency regulation capacity paid to all cleared 
resources 
2 Performance payment for the provision of frequency regulation 
service, with the latter payment re
ecting a resource's accuracy of 
performance. 
Performance? Now interpreted as mileage: 
Payment / 
Z T 
0
d 
dt 
G(t)j dt (or discrete-time equivalent) 
Is this nuts? 
Let's have a closer look ... 
22 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance { Yes, this is a bit looney 
How many 1MWh batteries are needed to track this signal? 
A 
0 
-A 
Power output of battery 
1 
4 
2 
4 
3 
4 
1 
 
Charging Dis-charging 
t 
D(t) = Asin(2t) MW 
(hours) 
23 / 47
FERC 755: AGC from DR 
A 
FERC Order 755 
0 
Pay-for-Performance { Yes, this is a bit looney 
-A 
Power output of battery 
1 
4 
2 
4 
3 
4 
1 
 
Charging Dis-charging 
t 
D(t) = Asin(2t) MW 
(hours) 
How many 1MWh batteries are needed to track this signal? 
Homework: # batteries  
A 
! 
23 / 47
FERC 755: AGC from DR 
A 
FERC Order 755 
0 
Pay-for-Performance { Yes, this is a bit looney 
-A 
Power output of battery 
1 
4 
2 
4 
3 
4 
1 
 
Charging Dis-charging 
t 
D(t) = Asin(2t) MW 
(hours) 
How many 1MWh batteries are needed to track this signal? 
Homework: # batteries  
A 
! 
What is the mileage? 
23 / 47
FERC 755: AGC from DR 
A 
FERC Order 755 
0 
Pay-for-Performance { Yes, this is a bit looney 
-A 
Power output of battery 
1 
4 
2 
4 
3 
4 
1 
 
Charging Dis-charging 
t 
D(t) = Asin(2t) MW 
(hours) 
How many 1MWh batteries are needed to track this signal? 
Homework: # batteries  
A 
! 
What is the mileage? Start with a small segment, 
Z T0 
0
d 
dt 
G(t)j dt = A; T0 = 
1 
4! 
23 / 47
FERC 755: AGC from DR 
A 
FERC Order 755 
0 
Pay-for-Performance { Yes, this is a bit looney 
-A 
Power output of battery 
1 
4 
2 
4 
3 
4 
1 
 
Charging Dis-charging 
t 
D(t) = Asin(2t) MW 
(hours) 
How many 1MWh batteries are needed to track this signal? 
Homework: # batteries  
A 
! 
What is the mileage? Start with a small segment, 
Z T0 
0
d 
dt 
G(t)j dt = A; T0 = 
1 
4! 
Z T 
0
d 
dt 
G(t)j dt  ?; T arbitrary 
23 / 47
FERC 755: AGC from DR 
A 
FERC Order 755 
0 
Pay-for-Performance { Yes, this is a bit looney 
-A 
Power output of battery 
1 
4 
2 
4 
3 
4 
1 
 
Charging Dis-charging 
t 
D(t) = Asin(2t) MW 
(hours) 
How many 1MWh batteries are needed to track this signal? 
Homework: # batteries  
A 
! 
What is the mileage? Start with a small segment, 
Z T0 
0
d 
dt 
G(t)j dt = A; T0 = 
1 
4! 
Z T 
0
d 
dt 
G(t)j dt  ?; T arbitrary 
Work it out! 
23 / 47
FERC 755: AGC from DR 
A 
FERC Order 755 
0 
Pay-for-Performance { Yes, this is a bit looney 
-A 
Power output of battery 
1 
4 
2 
4 
3 
4 
1 
 
Charging Dis-charging 
t 
D(t) = Asin(2t) MW 
(hours) 
How many 1MWh batteries are needed to track this signal? 
Homework: # batteries  
A 
! 
What is the mileage? Start with a small segment, 
Z T0 
0
d 
dt 
G(t)j dt = A; T0 = 
1 
4! 
Z T 
0
d 
dt 
G(t)j dt  4!TA; T arbitrary 
looney? 
23 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance { and, a bit ingenious 
PJM's Conclusions in 2013 
PJM lowered its Regulation Requirement1: 
# 22%, starting October 2012 
# 26%, starting November 2012 
# 30%, starting December 2012 
1As percent of the peak/valley load forecast; all relative to September, 2012 
24 / 47
FERC 755: AGC from DR 
FERC Order 755 
Pay-for-Performance { and, a bit ingenious 
PJM's Conclusions in 2013 
PJM lowered its Regulation Requirement1: 
# 22%, starting October 2012 
# 26%, starting November 2012 
# 30%, starting December 2012 
No negative impact on reliability 
1As percent of the peak/valley load forecast; all relative to September, 2012 
24 / 47
FERC 755: AGC from DR 
FERC Order 755 
PJM discovers bit of lunacy 
SEPTEMBER 2012 OCTOBER 2012 
$38.75 
MWh 
PJM coordinates frequency regulation through two dierent control signals: 
RegD - fast moving dynamic regulation (e.g. batteries, ywheels) 
RegA - traditional regulation resources (e.g. gas turbine) 
PJM introduces a second, fast 
moving regulation signal (RegD) 
Regulation requirements 
reduced by 22% 
Further reductions 
since then - now 30% 
PAY FOR PERFORMANCE IMPLEMENTED 
$13.75 
MWh 
MARKET CLEARING PRICES 
DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) 
OCTOBER 2013 
OCTOBER 2012 
Payments triple! 
25 / 47
FERC 755: AGC from DR 
FERC Order 755 
PJM discovers bit of lunacy 
SEPTEMBER 2012 OCTOBER 2012 
$38.75 
MWh 
PJM coordinates frequency regulation through two dierent control signals: 
RegD - fast moving dynamic regulation (e.g. batteries, ywheels) 
RegA - traditional regulation resources (e.g. gas turbine) 
PJM introduces a second, fast 
moving regulation signal (RegD) 
Regulation requirements 
reduced by 22% 
Further reductions 
since then - now 30% 
PAY FOR PERFORMANCE IMPLEMENTED 
$13.75 
MWh 
MARKET CLEARING PRICES 
DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) 
OCTOBER 2013 
OCTOBER 2012 
Payments triple! 
Good for the 
ywheel companies, but... 
25 / 47
FERC 755: AGC from DR 
FERC Order 755 
PJM discovers bit of lunacy 
SEPTEMBER 2012 OCTOBER 2012 
$38.75 
MWh 
PJM coordinates frequency regulation through two dierent control signals: 
RegD - fast moving dynamic regulation (e.g. batteries, ywheels) 
RegA - traditional regulation resources (e.g. gas turbine) 
PJM introduces a second, fast 
moving regulation signal (RegD) 
Regulation requirements 
reduced by 22% 
Further reductions 
since then - now 30% 
PAY FOR PERFORMANCE IMPLEMENTED 
$13.75 
MWh 
MARKET CLEARING PRICES 
DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) 
OCTOBER 2013 
OCTOBER 2012 
Payments triple! 
Good for the 
ywheel companies, but... 
PJM's
nding: All resources, even those 
with fair performance, will have an 
incentive to follow the fast moving RegD 
signal even if the unit is only capable of 
following at 50% because their 
compensation on average will be 
multiplied 3 times or more. 
Performance Based Regulation: Year One Analysis 
Regulation Performance Senior Task Force PJM 
Interconnection. Oct. 12, 2013 
25 / 47
FERC 755: AGC from DR 
FERC Order 755 
PJM discovers bit of lunacy 
SEPTEMBER 2012 OCTOBER 2012 
$38.75 
MWh 
PJM coordinates frequency regulation through two dierent control signals: 
RegD - fast moving dynamic regulation (e.g. batteries, ywheels) 
RegA - traditional regulation resources (e.g. gas turbine) 
PJM introduces a second, fast 
moving regulation signal (RegD) 
Regulation requirements 
reduced by 22% 
Further reductions 
since then - now 30% 
PAY FOR PERFORMANCE IMPLEMENTED 
$13.75 
MWh 
MARKET CLEARING PRICES 
DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) 
OCTOBER 2013 
OCTOBER 2012 
Payments triple! 
Good for the 
ywheel companies, but... 
PJM's
nding: All resources, even those 
with fair performance, will have an 
incentive to follow the fast moving RegD 
signal even if the unit is only capable of 
following at 50% because their 
compensation on average will be 
multiplied 3 times or more. 
Performance Based Regulation: Year One Analysis 
Regulation Performance Senior Task Force PJM 
Interconnection. Oct. 12, 2013 
Hence, more FERC orders 
25 / 47
Demand Dispatch
Demand Dispatch 
Buildings as Batteries 
HVAC 
exibility to provide additional ancillary service 
 Buildings consume 70% of electricity in the US 
HVAC contributes to 40% of the consumption. 
26 / 47
Demand Dispatch 
Buildings as Batteries 
HVAC 
exibility to provide additional ancillary service 
 Buildings consume 70% of electricity in the US 
HVAC contributes to 40% of the consumption. 
 Buildings have large thermal capacity 
26 / 47
Demand Dispatch 
Buildings as Batteries 
HVAC 
exibility to provide additional ancillary service 
 Buildings consume 70% of electricity in the US 
HVAC contributes to 40% of the consumption. 
 Buildings have large thermal capacity 
 Modern buildings have fast-responding equipment: 
VFDs (variable frequency drive) 
26 / 47
Demand Dispatch 
Buildings as Batteries 
HVAC 
exibility to provide additional ancillary service 
 Buildings consume 70% of electricity in the US 
HVAC contributes to 40% of the consumption. 
 Buildings have large thermal capacity 
 Modern buildings have fast-responding equipment: 
VFDs (variable frequency drive) 
26 / 47
Demand Dispatch 
Buildings as Batteries 
Tracking RegD at Pugh Hall | ignore the measurement noise 
In one sentence: 
27 / 47
Demand Dispatch 
Buildings as Batteries 
Tracking RegD at Pugh Hall | ignore the measurement noise 
In one sentence: Ramp up and down power consumption, just 10%, to 
track regulation signal. 
27 / 47
Demand Dispatch 
Buildings as Batteries 
Tracking RegD at Pugh Hall | ignore the measurement noise 
In one sentence: Ramp up and down power consumption, just 10%, to 
track regulation signal. 
Result: 
27 / 47
Demand Dispatch 
Buildings as Batteries 
Tracking RegD at Pugh Hall | ignore the measurement noise 
In one sentence: Ramp up and down power consumption, just 10%, to 
track regulation signal. 
Result: 
PJM RegD Measured 
Power 
(kW) 
1 
0 
-1 
0 10 20 30 40 
Time (minute) 
27 / 47
Demand Dispatch 
Pugh Hall @ UF 
How much? 
4 
2 
0 
−2 
−4 
10 
0 
−10 
0.2 
0 
−0.20 500 1000 1500 2000 2500 3000 3500 
Time (s) 
Fan Power Deviation (kW) 
Regulation Signal (kW) 
Input (%) 
Temperature Deviation (C) 
. One AHU fan with 25 kW motor: 
 3 kW of regulation reserve 
. Pugh Hall (40k sq ft, 3 AHUs): 
 10 kW 
Indoor air quality is not aected 
28 / 47
Demand Dispatch 
Pugh Hall @ UF 
How much? 
4 
2 
0 
−2 
−4 
10 
0 
−10 
0.2 
0 
−0.20 500 1000 1500 2000 2500 3000 3500 
Time (s) 
Fan Power Deviation (kW) 
Regulation Signal (kW) 
Input (%) 
Temperature Deviation (C) 
. One AHU fan with 25 kW motor: 
 3 kW of regulation reserve 
. Pugh Hall (40k sq ft, 3 AHUs): 
 10 kW 
Indoor air quality is not aected 
. 100 buildings: 
 1 MW 
28 / 47
Demand Dispatch 
Pugh Hall @ UF 
How much? 
4 
2 
0 
−2 
−4 
10 
0 
−10 
0.2 
0 
−0.20 500 1000 1500 2000 2500 3000 3500 
Time (s) 
Fan Power Deviation (kW) 
Regulation Signal (kW) 
Input (%) 
Temperature Deviation (C) 
. One AHU fan with 25 kW motor: 
 3 kW of regulation reserve 
. Pugh Hall (40k sq ft, 3 AHUs): 
 10 kW 
Indoor air quality is not aected 
. 100 buildings: 
 1 MW 
That's just using the fans! 
28 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? 
29 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? Tens of Gigawatts from commercial buildings 
29 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? Tens of Gigawatts from commercial buildings 
Can we obtain a resource as eective as today's spinning reserves? 
29 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? Tens of Gigawatts from commercial buildings 
Can we obtain a resource as eective as today's spinning reserves? 
Yes!! Buildings are well-suited to balancing reserves, 
and other high-frequency regulation resources 
29 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? Tens of Gigawatts from commercial buildings 
Can we obtain a resource as eective as today's spinning reserves? 
Yes!! Buildings are well-suited to balancing reserves, 
and other high-frequency regulation resources 
Secondary control following a contingency? 
This remains an open question. 
29 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? Tens of Gigawatts from commercial buildings 
Can we obtain a resource as eective as today's spinning reserves? 
Yes!! Buildings are well-suited to balancing reserves, 
and other high-frequency regulation resources 
Secondary control following a contingency? 
This remains an open question. 
How to compute baselines? 
29 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? Tens of Gigawatts from commercial buildings 
Can we obtain a resource as eective as today's spinning reserves? 
Yes!! Buildings are well-suited to balancing reserves, 
and other high-frequency regulation resources 
Secondary control following a contingency? 
This remains an open question. 
How to compute baselines? 
Who cares? The utility or aggregator is responsible for the equipment { 
the consumer cannot `play games' in a real time market! 
29 / 47
Demand Dispatch 
Buildings as Batteries 
What do you think? 
Questions: 
Capacity? Tens of Gigawatts from commercial buildings 
Can we obtain a resource as eective as today's spinning reserves? 
Yes!! Buildings are well-suited to balancing reserves, 
and other high-frequency regulation resources 
Secondary control following a contingency? 
This remains an open question. 
How to compute baselines? 
Who cares? The utility or aggregator is responsible for the equipment { 
the consumer cannot `play games' in a real time market! 
What open issues do you see? 
29 / 47
Demand Dispatch 
One Million Pools in Florida 
For ancillary service on a slower time-scale 
600 
400 
200 
0 
−200 
−400 
−600 
Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 
MW 
30 / 47
Demand Dispatch 
One Million Pools in Florida 
For ancillary service on a slower time-scale 
600 
400 
200 
0 
−200 
−400 
−600 
Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 
MW 
... and many other on/o loads 
30 / 47
Conclusions  Suggestions
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #1 
Wind generation 
for one day in the 
Pacic Northwest 
Price is $20/MWh 
8000 
6000 
4000 
2000 
0 
April 6 
MW 
1600 MW average output 
Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? 
31 / 47
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #1 Wind generation 
for one day in the 
Pacic Northwest 
Price is $20/MWh 
8000 
6000 
4000 
2000 
0 
April 6 
MW 
1600 MW average output 
Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? 
Answer: Correct! 
Electrons are electrons, so add them up, and put them on the market! 
32 / 47
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #1 Wind generation 
for one day in the 
Pacic Northwest 
Price is $20/MWh 
8000 
6000 
4000 
2000 
0 
April 6 
MW 
1600 MW average output 
Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? 
Answer: False!! 
Spring 2012 report from this region: 
Annual expected value of oversupply costs estimated at $12 million per 
year, with 300,000 MWh of wind curtailment 
www.nwcouncil.org/media/11074/2012 1212SupplementalReport.pdf 
32 / 47
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #1 Wind generation 
for one day in the 
Pacic Northwest 
Price is $20/MWh 
8000 
6000 
4000 
2000 
0 
April 6 
MW 
1600 MW average output 
Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? 
Answer: False!! 
Spring 2012 report from this region: 
Annual expected value of oversupply costs estimated at $12 million per 
year, with 300,000 MWh of wind curtailment 
The
rst answer would be correct if we had 
infrastructure in place to mitigate volatility 
www.nwcouncil.org/media/11074/2012 1212SupplementalReport.pdf 
32 / 47
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #2 
Zero net power 
Price is $20/MWh 
800 
600 
400 
200 
0 
−200 
−400 
−600 
−800 
-1000 
April 3 April 4 April 5 April 6 April 7 April 8 April 9 
MW 
Value = 0 MW x 7 days x $20/MWh = $0 ? 
33 / 47
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #2 Zero net power 
Price is $20/MWh 
800 
600 
400 
200 
0 
−200 
−400 
−600 
−800 
-1000 
April 3 April 4 April 5 April 6 April 7 April 8 April 9 
MW 
Value = 0 MW x 7 days x $20/MWh = $0 ? 
Answer: Correct! 
The total power is zero, and the  800 MW perturbation is 
inconsequential given the 8000 MW load 
34 / 47
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #2 Zero net power 
Price is $20/MWh 
800 
600 
400 
200 
0 
−200 
−400 
−600 
−800 
-1000 
April 3 April 4 April 5 April 6 April 7 April 8 April 9 
MW 
Value = 0 MW x 7 days x $20/MWh = $0 ? 
Answer: False! 
Disturbance to the grid is costly, the actual value is $500,000 (guess) 
34 / 47
Conclusions  Suggestions 
What is the Value of Power? 
Answers to Quiz #2 Zero net power 
Price is $20/MWh 
800 
600 
400 
200 
0 
−200 
−400 
−600 
−800 
-1000 
April 3 April 4 April 5 April 6 April 7 April 8 April 9 
MW 
Value = 0 MW x 7 days x $20/MWh = $0 ? 
Answer: False! 
Disturbance to the grid is costly, the actual value is $500,000 (guess) 
Answer: False!! 
This is the BPA regulation signal! The actual value is ... 
34 / 47

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Why Do We Ignore Risk in Power Economics?

  • 1. Why Do We Ignore Risk in Power Economics? University of Copenhagen Sean P. Meyn Prabir Barooah, Ana Busic, In-Koo Cho, Anupama Kowli Matias Negrete-Pincetic, Ehsan Sha
  • 2. eeporfaard, Uday Shanbhag, and Gui Wang Electrical and Computer Engineering University of Florida Thanks to NSF, AFOSR, and DOE / TCIPG November 25, 2014
  • 3. Why Do We Ignore Risk in Power Economics? Outline 1 What is the Value of Power? 2 Smart Markets Today 3 Competitive Equilibrium Theory 4 FERC 745: DR for Spinning Reserves 5 FERC 755: AGC from DR 6 Demand Dispatch 7 Conclusions Suggestions
  • 4. What is the Value of Power?
  • 5. What is the Value of Power? What is the Value of Power? A short quiz Wind generation for one day in the Pacic Northwest Price is $20/MWh 8000 6000 4000 2000 0 April 6 MW 1600 MW average output 1 / 47
  • 6. What is the Value of Power? What is the Value of Power? A short quiz Wind generation for one day in the Pacic Northwest Price is $20/MWh 8000 6000 4000 2000 0 April 6 MW 1600 MW average output Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? 2 / 47
  • 7. What is the Value of Power? What is the Value of Power? A short quiz Zero net power Price is $20/MWh 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW 3 / 47
  • 8. What is the Value of Power? What is the Value of Power? A short quiz Zero net power Price is $20/MWh 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW Value = 0 MW x 7 days x $20/MWh = $0 ? 4 / 47
  • 9. What is the Value of Power? What is the Value of Power? A short quiz Zero net power Price is $20/MWh Answers to be submitted at the end of lecture 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW 5 / 47
  • 11. Smart Markets Today Midwest ISO Today Typical real-time prices mid-morning in the Midwest 10 April 2013 06:15 10 April 2013 06:20 10 April 2013 07:30 10 April 2013 07:35 10 April 2013 07:50 10 April 2013 08:35 6 / 47
  • 12. Smart Markets Today Midwest ISO Today Typical real-time prices mid-morning in the Midwest 10 April 2013 10:15 10 April 2013 10:30 10 April 2013 10:35 10 April 2013 11:30 10 April 2013 11:35 10 April 2013 12:05 7 / 47
  • 13. Smart Markets Today Midwest ISO Today Typical real-time prices mid-morning in the Midwest 11 April 2013 07:25 11 April 2013 07:30 11 April 2013 07:35 10 April 2013 09:15 10 April 2013 09:20 10 April 2013 09:25 8 / 47
  • 14. Smart Markets Today Midwest ISO Today 9 / 47
  • 15. Smart Markets Today Midwest ISO Today Prices depend on time, location and context 9 / 47
  • 16. Smart Markets Today Cold Causes Price Spikes Texas today: Winter of 2011 3000 $/MWh Power Prices in Texas January 31, 2011 $/MWh February 2, 2011 2000 1000 0 5am 10am 3pm 8pm −500 80 60 40 20 10 0 −10 5am 10am 3pm 8pm 10 / 47
  • 17. Smart Markets Today Cold Causes Price Spikes Texas today: Winter of 2011 3000 $/MWh Power Prices in Texas January 31, 2011 $/MWh February 2, 2011 2000 1000 0 5am 10am 3pm 8pm −500 80 60 40 20 10 0 −10 5am 10am 3pm 8pm There will be multiple autopsies of the causes for the latest power breakdowns ... Who pro
  • 18. ted o this near-meltdown and what can be done to incentivize power producers to maintain adequate reserve capacity for emergencies rather than waiting for emergency windfalls? { HOUSTON CHRONICLE, Feb 12, 2011 New report hits ERCOT, electricity deregulation: A report released Monday concludes that electric deregulation has cost Texas residential consumers more than $11 billion in higher rates... { Dallas Morning News, Feb 14, 2011 10 / 47
  • 19. Smart Markets Today Cold Causes Price Spikes Texas today: Winter of 2011 3000 $/MWh Power Prices in Texas January 31, 2011 $/MWh February 2, 2011 2000 1000 0 5am 10am 3pm 8pm −500 80 60 40 20 10 0 −10 5am 10am 3pm 8pm Proposed Remedy Public Utility Commission of Texas (PUCT) ... considering raising oer caps to as high as $9,000/MWh, among other measures. [Brattle Group, June 1 2012] 10 / 47
  • 20. Smart Markets Today Cold Causes Price Spikes Texas today: Winter of 2011 3000 $/MWh Power Prices in Texas January 31, 2011 $/MWh February 2, 2011 2000 1000 0 5am 10am 3pm 8pm −500 80 60 40 20 10 0 −10 5am 10am 3pm 8pm Proposed Remedy Public Utility Commission of Texas (PUCT) ... considering raising oer caps to as high as $9,000/MWh, among other measures. [Brattle Group, June 1 2012] Ecient Outcome! October 25, 2012: The Public Utility Commission of Texas has approved a series of increases in the ERCOT high system-wide oer cap (HCAP) starting June 1, 2013, with the cap eventually reaching $9,000/MWh. 10 / 47
  • 21. Smart Markets Today Day-Ahead Market Outcomes Texas today: Summer of 2011 ERCOT North Zone - August 1-30, 2011 Hourly day-ahead, daily on-peak, and monthly weighted average prices 3,000 2,500 2,000 1,500 1,000 500 0 wholesale price ($/MWh) hourly, day-ahead price daily, on-peak price weighted average monthly price ($188/MWh) 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 Source: U.S. Energy Information Administration, based on the Electric Reliability Council of Texas (ERCOT). Note: ERCOT North Zone includes Dallas/Fort Worth metro region and surrounding areas of Northeast Texas. On-Peak refers to the 16-hour time block from hours ending 7:00 a.m. to 10:00 p.m. CDT on weekdays, excluding NERC holidays. Source: U.S. Energy Information Administration, based on the Electric Reliability Council of Texas (ERCOT). Note: ERCOT North Zone includes Dallas/Fort Worth metro region and surrounding areas of Northeast Texas. On-Peak refers to the 16-hour time block from hours ending 7:00 a.m. to 10:00 p.m. CDT on weekdays, excluding NERC holidays 11 / 47
  • 22. Smart Markets Today Ordinary Day { Price Spikes Texas today: As I prepare this lecture, 2014 12 / 47
  • 23. Smart Markets Today Madness in New Zealand New Zealand today: March 25, 2011 A typical day in the New Zealand power market on the N. Island Otahuhu Stratford http://www.electricityinfo.co.nz/ Nodal Power Prices in NZ: $/MWh 100 50 0 4am 9am 2pm 7pm 13 / 47
  • 24. Smart Markets Today Madness in New Zealand New Zealand today: March 26, 2011 $25 million dollars extracted by the generators in just six hours Otahuhu Stratford Nodal Power Prices in NZ: $/MWh 4am 9am 2pm 7pm http://www.electricityinfo.co.nz/ 20,000 10,000 0 14 / 47
  • 25. Smart Markets Today Madness in New Zealand New Zealand today: March 26, 2011 $20 million dollars demanded back from Genesis Otahuhu Stratford Nodal Power Prices in NZ: $/MWh 4am 9am 2pm 7pm http://www.electricityinfo.co.nz/ 20,000 10,000 0 Preliminary view of NZ Electrical Authority: Genesis was not guilty of manipulative ... or deceptive conduct. However, high prices threatened to 14 / 47
  • 26. Smart Markets Today Madness in New Zealand New Zealand today: March 26, 2011 $20 million dollars demanded back from Genesis Otahuhu Stratford Nodal Power Prices in NZ: $/MWh 4am 9am 2pm 7pm http://www.electricityinfo.co.nz/ 20,000 10,000 0 Preliminary view of NZ Electrical Authority: Genesis was not guilty of manipulative ... or deceptive conduct. However, high prices threatened to undermine con
  • 27. dence in, and ... damage the integrity and reputation of the wholesale electricity market 3:59 PM Friday May 6, 2011 www.nzherald.co.nz 14 / 47
  • 28. Price (Aus $/MWh) Volume (MW) Price (Aus $/MWh) Volume (MW) Demand Demand Prices Prices 24:00 23:00 22:00 21:00 20:00 19:00 18:00 17:00 16:00 15:00 14:00 13:00 12:00 11:00 10:00 09:00 08:00 07:00 06:00 05:00 04:00 03:00 02:00 01:00 00:00 24:00 23:00 22:00 21:00 20:00 19:00 18:00 17:00 16:00 15:00 14:00 13:00 12:00 11:00 10:00 09:00 08:00 07:00 06:00 05:00 04:00 03:00 02:00 01:00 00:00 Victoria Tasmania 10,000 1,400 19,000 1,000 1,200 1,000 800 600 400 - 1,000 200 - 1,500 0 0 1,000 - 1,000 9,000 8,000 10,000 7,000 6,000 5,000 4,000 3,000 2,000 1,000 0 Competitive Equilibrium Theory
  • 29. Competitive Equilibrium Theory Equilibrium with Dynamics Network Constraints Entropic prices Theorem 1: When dynamics (temporal constraints) are taken into account, price is never equal to marginal cost [4, 3, 2, 1] 15 / 47
  • 30. Competitive Equilibrium Theory Equilibrium with Dynamics Network Constraints Entropic prices Theorem 1: When dynamics (temporal constraints) are taken into account, price is never equal to marginal cost [4, 3, 2, 1] Equilibrium price The equilibrium price process is a function of equilibrium reserves: P(t) = p(Re(t)) The marginal value of power to the consumer. 15 / 47
  • 31. Competitive Equilibrium Theory Equilibrium with Dynamics Network Constraints Entropic prices Theorem 1: When dynamics (temporal constraints) are taken into account, price is never equal to marginal cost [4, 3, 2, 1] Equilibrium price The equilibrium price process is a function of equilibrium reserves: P(t) = p(Re(t)) The marginal value of power to the consumer. Proof: Lagrangian decomposition, as in the static Second Welfare Theorem 15 / 47
  • 32. Competitive Equilibrium Theory Equilibrium with Dynamics Network Constraints Entropic prices What is marginal value? It is not always obvious. With the introduction of network constraints, 16 / 47
  • 33. Competitive Equilibrium Theory Equilibrium with Dynamics Network Constraints Entropic prices What is marginal value? It is not always obvious. With the introduction of network constraints, Prices can go well beyond choke-up price (as de
  • 34. ned in static model) Prices can go well below zero [Dynamic competitive equilibria in electricity markets. Wang et. al. 2011] 16 / 47
  • 35. Competitive Equilibrium Theory Equilibrium with Dynamics Network Constraints Entropic prices What is marginal value? It is not always obvious. With the introduction of network constraints, Prices can go well beyond choke-up price (as de
  • 36. ned in static model) Prices can go well below zero [Dynamic competitive equilibria in electricity markets. Wang et. al. 2011] Without price-caps, Australia might look like an ecient equilibrium: Price (Aus $/MWh) Volume (MW) Price (Aus $/MWh) Volume (MW) Demand Demand Prices Prices 24:00 23:00 22:00 21:00 20:00 19:00 18:00 17:00 16:00 15:00 14:00 13:00 12:00 11:00 10:00 09:00 08:00 07:00 06:00 05:00 04:00 03:00 02:00 01:00 00:00 24:00 23:00 22:00 21:00 20:00 19:00 18:00 17:00 16:00 15:00 14:00 13:00 12:00 11:00 10:00 09:00 08:00 07:00 06:00 05:00 04:00 03:00 02:00 01:00 00:00 Victoria Tasmania 10,000 1,400 19,000 1,000 1,200 1,000 800 600 400 - 1,000 200 - 1,500 0 0 1,000 - 1,000 9,000 8,000 10,000 7,000 6,000 5,000 4,000 3,000 2,000 1,000 0 16 / 47
  • 37. Competitive Equilibrium Theory Sustainable business? Marginal value of electricity, $250,000/MWh (?) Illinois: July 1998 California: July 2000 Purchase Price $/MWh Previous week Spinning reserve prices PX prices $/MWh 250 200 150 100 50 0 70 60 50 40 30 20 10 Texas: February 2, 2011 Ontario: November, 2005 5000 4000 3000 2000 1000 0 Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time Tues Weds Thurs 21000 18000 15000 1500 1000 500 0 Forecast Prices Forecast Demand 3000 2000 1000 0 $/MWh Average price is usually $30 5am 10am 3pm 8pm −500 $/MWh 17 / 47
  • 38. Competitive Equilibrium Theory Sustainable business? Marginal value of electricity, $250,000/MWh (?) Illinois: July 1998 California: July 2000 Purchase Price $/MWh Previous week Spinning reserve prices PX prices $/MWh 250 200 150 100 50 0 70 60 50 40 30 20 10 Texas: February 2, 2011 Ontario: November, 2005 5000 4000 3000 2000 1000 0 Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time Tues Weds Thurs 21000 18000 15000 1500 1000 500 0 Forecast Prices Forecast Demand 3000 2000 1000 0 $/MWh Average price is usually $30 5am 10am 3pm 8pm −500 $/MWh However, 17 / 47
  • 39. Competitive Equilibrium Theory Sustainable business? Marginal value of electricity, $250,000/MWh (?) Illinois: July 1998 California: July 2000 Purchase Price $/MWh Previous week Spinning reserve prices PX prices $/MWh 250 200 150 100 50 0 70 60 50 40 30 20 10 Texas: February 2, 2011 Ontario: November, 2005 5000 4000 3000 2000 1000 0 Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time Tues Weds Thurs 21000 18000 15000 1500 1000 500 0 Forecast Prices Forecast Demand 3000 2000 1000 0 $/MWh Average price is usually $30 5am 10am 3pm 8pm −500 $/MWh However, Theorem 2: In this equilibrium, the average price is precisely the average marginal cost Proof: Lagrangian relaxation of initial condition. 17 / 47
  • 40. Competitive Equilibrium Theory Sustainable business? Marginal value of electricity, $250,000/MWh (?) Illinois: July 1998 California: July 2000 Purchase Price $/MWh Previous week Spinning reserve prices PX prices $/MWh 250 200 150 100 50 0 70 60 50 40 30 20 10 Texas: February 2, 2011 Ontario: November, 2005 5000 4000 3000 2000 1000 0 Mon Tues Weds Thurs Fri Weds Thurs Fri Sat Sun Mon Tues Weds Demand in MW Last Updated 11:00 AM Predispatch 1975.11 Dispatch 19683.5 Hourly Ontario Energy Price $/MWh Last Updated 11:00 AM Predispatch 72.79 Dispatch 90.82 2000 3 6 9 12 15 18 21 3 6 9 12 15 18 21 3 6 9 12 15 18 21 Time Tues Weds Thurs 21000 18000 15000 1500 1000 500 0 Forecast Prices Forecast Demand 3000 2000 1000 0 $/MWh Average price is usually $30 5am 10am 3pm 8pm −500 $/MWh However, Theorem 2: In this equilibrium, the average price is precisely the average marginal cost Proof: Lagrangian relaxation of initial condition. Is this a sustainable business? 17 / 47
  • 41. Competitive Equilibrium Theory Little Incentive for Regulation Figure 3 Average 2012 daily ve-minute and hour-ahead prices are more volatile than the day-ahead price pattern B. Kirby, The Value of Flexible Generation, 2013 18 / 47
  • 42. Competitive Equilibrium Theory Little Incentive for Regulation Figure 3 Average 2012 daily ve-minute and hour-ahead prices are more volatile than the day-ahead price pattern B. Kirby, The Value of Flexible Generation, 2013 Average prices in the real-time market nearly equal day-ahead prices. 18 / 47
  • 43. Competitive Equilibrium Theory Little Incentive for Regulation Figure 3 Average 2012 daily ve-minute and hour-ahead prices are more volatile than the day-ahead price pattern B. Kirby, The Value of Flexible Generation, 2013 Average prices in the real-time market nearly equal day-ahead prices. RTM6= Regulation, but similar 18 / 47
  • 44. Contour Map: Real Time Market - Locational Marginal Pricing Help? $10/MWh Nirvana @ ERCOT FERC 745: DR for Spinning Reserves
  • 45. FERC 745: DR for Spinning Reserves Origin of FERC 745 { Incentives for Demand Response EnerNOC's plea: (amongst others) ... demand response resources simply cannot be procured because they do not yet exist as resources. Such investment will not occur so long as compensation undervalues demand response resources. 19 / 47
  • 46. FERC 745: DR for Spinning Reserves Origin of FERC 745 { Incentives for Demand Response EnerNOC's plea: (amongst others) ... demand response resources simply cannot be procured because they do not yet exist as resources. Such investment will not occur so long as compensation undervalues demand response resources. FERC's Decision: The Commission concludes that paying LMP can address the identi
  • 47. ed barriers to potential demand response providers. 19 / 47
  • 48. FERC 745: DR for Spinning Reserves Origin of FERC 745 { Incentives for Demand Response EnerNOC's plea: (amongst others) ... demand response resources simply cannot be procured because they do not yet exist as resources. Such investment will not occur so long as compensation undervalues demand response resources. FERC's Decision: The Commission concludes that paying LMP can address the identi
  • 49. ed barriers to potential demand response providers. FERC 745 is Born! 134 FERC {61,187 UNITED STATES OF AMERICA FEDERAL ENERGY REGULATORY COMMISSION 18 CFR Part 35 [Docket No. RM10-17-000; Order No. 745] Demand Response Compensation in Organized Wholesale Energy Markets (Issued March 15, 2011) 19 / 47
  • 50. FERC 745: DR for Spinning Reserves Origin of FERC 745 { Incentives for Demand Response EnerNOC's plea: (amongst others) ... demand response resources simply cannot be procured because they do not yet exist as resources. Such investment will not occur so long as compensation undervalues demand response resources. FERC's Decision: The Commission concludes that paying LMP can address the identi
  • 51. ed barriers to potential demand response providers. FERC 745 is Born! 134 FERC {61,187 UNITED STATES OF AMERICA FEDERAL ENERGY REGULATORY COMMISSION 18 CFR Part 35 [Docket No. RM10-17-000; Order No. 745] Demand Response Compensation in Organized Wholesale Energy Markets (Issued March 15, 2011) The outcome? 19 / 47
  • 52. FERC 745: DR for Spinning Reserves FERC 745 Is Dead! 20 / 47
  • 53. FERC 745: DR for Spinning Reserves FERC 745 Is Dead! Conjecture: It had to die. 20 / 47
  • 54. FERC 745: DR for Spinning Reserves FERC 745 Is Dead! Conjecture: It had to die. FERC 745 Nirvana: Peaks shaved! 20 / 47
  • 55. FERC 745: DR for Spinning Reserves FERC 745 Is Dead! Conjecture: It had to die. FERC 745 Nirvana: Peaks shaved! Contingencies resolved in seconds!! Prices smoothed to Marginal Cost! 20 / 47
  • 56. FERC 745: DR for Spinning Reserves FERC 745 Is Dead! Conjecture: It had to die. FERC 745 Nirvana: Peaks shaved! Contingencies resolved in seconds!! Prices smoothed to Marginal Cost! Contour Map: Real Time Market - Locational Marginal Pricing Help? $10/MWh Nirvana @ ERCOT 20 / 47
  • 57. FERC 745: DR for Spinning Reserves FERC 745 Is Dead! Conjecture: It had to die. FERC 745 Nirvana: Peaks shaved! Contingencies resolved in seconds!! Prices smoothed to Marginal Cost! Contour Map: Real Time Market - Locational Marginal Pricing Help? $10/MWh Nirvana @ ERCOT The problem: In this market, there is no opportunity without crisis 20 / 47
  • 58. FERC 745: DR for Spinning Reserves FERC 745 Is Dead! Conjecture: It had to die. FERC 745 Nirvana: Peaks shaved! Contingencies resolved in seconds!! Prices smoothed to Marginal Cost! Contour Map: Real Time Market - Locational Marginal Pricing Help? $10/MWh Nirvana @ ERCOT The problem: In this market, there is no opportunity without crisis The paradox: In this nirvana, there is no business case for demand response 20 / 47
  • 59. SEPTEMBER 2012 OCTOBER 2012 $38.75 MWh PJM coordinates frequency regulation through two dierent control signals: RegD - fast moving dynamic regulation (e.g. batteries, ywheels) RegA - traditional regulation resources (e.g. gas turbine) PJM introduces a second, fast moving regulation signal (RegD) Regulation requirements reduced by 22% Further reductions since then - now 30% PAY FOR PERFORMANCE IMPLEMENTED $13.75 MWh MARKET CLEARING PRICES DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) OCTOBER 2013 OCTOBER 2012 FERC 755: AGC from DR
  • 60. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance October 20, 2011: New rules for compensating frequency regulation resources: FERC 755 required ISO/RTOs to pay regulation resources based on actual amount of regulation service provided (speed and accuracy). 21 / 47
  • 61. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance October 20, 2011: New rules for compensating frequency regulation resources: FERC 755 required ISO/RTOs to pay regulation resources based on actual amount of regulation service provided (speed and accuracy). FERC's motivation: Current compensation for frequency regulation is unjust... Increasing need for frequency regulation service 21 / 47
  • 62. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance October 20, 2011: New rules for compensating frequency regulation resources: FERC 755 required ISO/RTOs to pay regulation resources based on actual amount of regulation service provided (speed and accuracy). FERC's motivation: Current compensation for frequency regulation is unjust... Increasing need for frequency regulation service ... allowing the market to establish the compensation for resources' performance will allow more economically ecient outcomes and create appropriate incentives ... 21 / 47
  • 63. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance Time Regulation Required @ MISO 600 400 200 0 -200 -400 Two part settlement: 1 A uniform price for frequency regulation capacity paid to all cleared resources 2 Performance payment for the provision of frequency regulation service, with the latter payment re ecting a resource's accuracy of performance. 22 / 47
  • 64. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance Time Regulation Required @ MISO 600 400 200 0 -200 -400 Two part settlement: 1 A uniform price for frequency regulation capacity paid to all cleared resources 2 Performance payment for the provision of frequency regulation service, with the latter payment re ecting a resource's accuracy of performance. Performance? 22 / 47
  • 65. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance Time Regulation Required @ MISO 600 400 200 0 -200 -400 Two part settlement: 1 A uniform price for frequency regulation capacity paid to all cleared resources 2 Performance payment for the provision of frequency regulation service, with the latter payment re ecting a resource's accuracy of performance. Performance? Now interpreted as mileage: Payment / Z T 0
  • 66.
  • 67. d dt G(t)j dt (or discrete-time equivalent) 22 / 47
  • 68. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance Time Regulation Required @ MISO 600 400 200 0 -200 -400 Two part settlement: 1 A uniform price for frequency regulation capacity paid to all cleared resources 2 Performance payment for the provision of frequency regulation service, with the latter payment re ecting a resource's accuracy of performance. Performance? Now interpreted as mileage: Payment / Z T 0
  • 69.
  • 70. d dt G(t)j dt (or discrete-time equivalent) Is this nuts? 22 / 47
  • 71. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance Time Regulation Required @ MISO 600 400 200 0 -200 -400 Two part settlement: 1 A uniform price for frequency regulation capacity paid to all cleared resources 2 Performance payment for the provision of frequency regulation service, with the latter payment re ecting a resource's accuracy of performance. Performance? Now interpreted as mileage: Payment / Z T 0
  • 72.
  • 73. d dt G(t)j dt (or discrete-time equivalent) Is this nuts? Let's have a closer look ... 22 / 47
  • 74. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance { Yes, this is a bit looney How many 1MWh batteries are needed to track this signal? A 0 -A Power output of battery 1 4 2 4 3 4 1 Charging Dis-charging t D(t) = Asin(2t) MW (hours) 23 / 47
  • 75. FERC 755: AGC from DR A FERC Order 755 0 Pay-for-Performance { Yes, this is a bit looney -A Power output of battery 1 4 2 4 3 4 1 Charging Dis-charging t D(t) = Asin(2t) MW (hours) How many 1MWh batteries are needed to track this signal? Homework: # batteries A ! 23 / 47
  • 76. FERC 755: AGC from DR A FERC Order 755 0 Pay-for-Performance { Yes, this is a bit looney -A Power output of battery 1 4 2 4 3 4 1 Charging Dis-charging t D(t) = Asin(2t) MW (hours) How many 1MWh batteries are needed to track this signal? Homework: # batteries A ! What is the mileage? 23 / 47
  • 77. FERC 755: AGC from DR A FERC Order 755 0 Pay-for-Performance { Yes, this is a bit looney -A Power output of battery 1 4 2 4 3 4 1 Charging Dis-charging t D(t) = Asin(2t) MW (hours) How many 1MWh batteries are needed to track this signal? Homework: # batteries A ! What is the mileage? Start with a small segment, Z T0 0
  • 78.
  • 79. d dt G(t)j dt = A; T0 = 1 4! 23 / 47
  • 80. FERC 755: AGC from DR A FERC Order 755 0 Pay-for-Performance { Yes, this is a bit looney -A Power output of battery 1 4 2 4 3 4 1 Charging Dis-charging t D(t) = Asin(2t) MW (hours) How many 1MWh batteries are needed to track this signal? Homework: # batteries A ! What is the mileage? Start with a small segment, Z T0 0
  • 81.
  • 82. d dt G(t)j dt = A; T0 = 1 4! Z T 0
  • 83.
  • 84. d dt G(t)j dt ?; T arbitrary 23 / 47
  • 85. FERC 755: AGC from DR A FERC Order 755 0 Pay-for-Performance { Yes, this is a bit looney -A Power output of battery 1 4 2 4 3 4 1 Charging Dis-charging t D(t) = Asin(2t) MW (hours) How many 1MWh batteries are needed to track this signal? Homework: # batteries A ! What is the mileage? Start with a small segment, Z T0 0
  • 86.
  • 87. d dt G(t)j dt = A; T0 = 1 4! Z T 0
  • 88.
  • 89. d dt G(t)j dt ?; T arbitrary Work it out! 23 / 47
  • 90. FERC 755: AGC from DR A FERC Order 755 0 Pay-for-Performance { Yes, this is a bit looney -A Power output of battery 1 4 2 4 3 4 1 Charging Dis-charging t D(t) = Asin(2t) MW (hours) How many 1MWh batteries are needed to track this signal? Homework: # batteries A ! What is the mileage? Start with a small segment, Z T0 0
  • 91.
  • 92. d dt G(t)j dt = A; T0 = 1 4! Z T 0
  • 93.
  • 94. d dt G(t)j dt 4!TA; T arbitrary looney? 23 / 47
  • 95. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance { and, a bit ingenious PJM's Conclusions in 2013 PJM lowered its Regulation Requirement1: # 22%, starting October 2012 # 26%, starting November 2012 # 30%, starting December 2012 1As percent of the peak/valley load forecast; all relative to September, 2012 24 / 47
  • 96. FERC 755: AGC from DR FERC Order 755 Pay-for-Performance { and, a bit ingenious PJM's Conclusions in 2013 PJM lowered its Regulation Requirement1: # 22%, starting October 2012 # 26%, starting November 2012 # 30%, starting December 2012 No negative impact on reliability 1As percent of the peak/valley load forecast; all relative to September, 2012 24 / 47
  • 97. FERC 755: AGC from DR FERC Order 755 PJM discovers bit of lunacy SEPTEMBER 2012 OCTOBER 2012 $38.75 MWh PJM coordinates frequency regulation through two dierent control signals: RegD - fast moving dynamic regulation (e.g. batteries, ywheels) RegA - traditional regulation resources (e.g. gas turbine) PJM introduces a second, fast moving regulation signal (RegD) Regulation requirements reduced by 22% Further reductions since then - now 30% PAY FOR PERFORMANCE IMPLEMENTED $13.75 MWh MARKET CLEARING PRICES DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) OCTOBER 2013 OCTOBER 2012 Payments triple! 25 / 47
  • 98. FERC 755: AGC from DR FERC Order 755 PJM discovers bit of lunacy SEPTEMBER 2012 OCTOBER 2012 $38.75 MWh PJM coordinates frequency regulation through two dierent control signals: RegD - fast moving dynamic regulation (e.g. batteries, ywheels) RegA - traditional regulation resources (e.g. gas turbine) PJM introduces a second, fast moving regulation signal (RegD) Regulation requirements reduced by 22% Further reductions since then - now 30% PAY FOR PERFORMANCE IMPLEMENTED $13.75 MWh MARKET CLEARING PRICES DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) OCTOBER 2013 OCTOBER 2012 Payments triple! Good for the ywheel companies, but... 25 / 47
  • 99. FERC 755: AGC from DR FERC Order 755 PJM discovers bit of lunacy SEPTEMBER 2012 OCTOBER 2012 $38.75 MWh PJM coordinates frequency regulation through two dierent control signals: RegD - fast moving dynamic regulation (e.g. batteries, ywheels) RegA - traditional regulation resources (e.g. gas turbine) PJM introduces a second, fast moving regulation signal (RegD) Regulation requirements reduced by 22% Further reductions since then - now 30% PAY FOR PERFORMANCE IMPLEMENTED $13.75 MWh MARKET CLEARING PRICES DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) OCTOBER 2013 OCTOBER 2012 Payments triple! Good for the ywheel companies, but... PJM's
  • 100. nding: All resources, even those with fair performance, will have an incentive to follow the fast moving RegD signal even if the unit is only capable of following at 50% because their compensation on average will be multiplied 3 times or more. Performance Based Regulation: Year One Analysis Regulation Performance Senior Task Force PJM Interconnection. Oct. 12, 2013 25 / 47
  • 101. FERC 755: AGC from DR FERC Order 755 PJM discovers bit of lunacy SEPTEMBER 2012 OCTOBER 2012 $38.75 MWh PJM coordinates frequency regulation through two dierent control signals: RegD - fast moving dynamic regulation (e.g. batteries, ywheels) RegA - traditional regulation resources (e.g. gas turbine) PJM introduces a second, fast moving regulation signal (RegD) Regulation requirements reduced by 22% Further reductions since then - now 30% PAY FOR PERFORMANCE IMPLEMENTED $13.75 MWh MARKET CLEARING PRICES DYNAMIC FAST RESPONDING RESOURCES (REGD) REGULATION REQUIREMENTS (MW) OCTOBER 2013 OCTOBER 2012 Payments triple! Good for the ywheel companies, but... PJM's
  • 102. nding: All resources, even those with fair performance, will have an incentive to follow the fast moving RegD signal even if the unit is only capable of following at 50% because their compensation on average will be multiplied 3 times or more. Performance Based Regulation: Year One Analysis Regulation Performance Senior Task Force PJM Interconnection. Oct. 12, 2013 Hence, more FERC orders 25 / 47
  • 104. Demand Dispatch Buildings as Batteries HVAC exibility to provide additional ancillary service Buildings consume 70% of electricity in the US HVAC contributes to 40% of the consumption. 26 / 47
  • 105. Demand Dispatch Buildings as Batteries HVAC exibility to provide additional ancillary service Buildings consume 70% of electricity in the US HVAC contributes to 40% of the consumption. Buildings have large thermal capacity 26 / 47
  • 106. Demand Dispatch Buildings as Batteries HVAC exibility to provide additional ancillary service Buildings consume 70% of electricity in the US HVAC contributes to 40% of the consumption. Buildings have large thermal capacity Modern buildings have fast-responding equipment: VFDs (variable frequency drive) 26 / 47
  • 107. Demand Dispatch Buildings as Batteries HVAC exibility to provide additional ancillary service Buildings consume 70% of electricity in the US HVAC contributes to 40% of the consumption. Buildings have large thermal capacity Modern buildings have fast-responding equipment: VFDs (variable frequency drive) 26 / 47
  • 108. Demand Dispatch Buildings as Batteries Tracking RegD at Pugh Hall | ignore the measurement noise In one sentence: 27 / 47
  • 109. Demand Dispatch Buildings as Batteries Tracking RegD at Pugh Hall | ignore the measurement noise In one sentence: Ramp up and down power consumption, just 10%, to track regulation signal. 27 / 47
  • 110. Demand Dispatch Buildings as Batteries Tracking RegD at Pugh Hall | ignore the measurement noise In one sentence: Ramp up and down power consumption, just 10%, to track regulation signal. Result: 27 / 47
  • 111. Demand Dispatch Buildings as Batteries Tracking RegD at Pugh Hall | ignore the measurement noise In one sentence: Ramp up and down power consumption, just 10%, to track regulation signal. Result: PJM RegD Measured Power (kW) 1 0 -1 0 10 20 30 40 Time (minute) 27 / 47
  • 112. Demand Dispatch Pugh Hall @ UF How much? 4 2 0 −2 −4 10 0 −10 0.2 0 −0.20 500 1000 1500 2000 2500 3000 3500 Time (s) Fan Power Deviation (kW) Regulation Signal (kW) Input (%) Temperature Deviation (C) . One AHU fan with 25 kW motor: 3 kW of regulation reserve . Pugh Hall (40k sq ft, 3 AHUs): 10 kW Indoor air quality is not aected 28 / 47
  • 113. Demand Dispatch Pugh Hall @ UF How much? 4 2 0 −2 −4 10 0 −10 0.2 0 −0.20 500 1000 1500 2000 2500 3000 3500 Time (s) Fan Power Deviation (kW) Regulation Signal (kW) Input (%) Temperature Deviation (C) . One AHU fan with 25 kW motor: 3 kW of regulation reserve . Pugh Hall (40k sq ft, 3 AHUs): 10 kW Indoor air quality is not aected . 100 buildings: 1 MW 28 / 47
  • 114. Demand Dispatch Pugh Hall @ UF How much? 4 2 0 −2 −4 10 0 −10 0.2 0 −0.20 500 1000 1500 2000 2500 3000 3500 Time (s) Fan Power Deviation (kW) Regulation Signal (kW) Input (%) Temperature Deviation (C) . One AHU fan with 25 kW motor: 3 kW of regulation reserve . Pugh Hall (40k sq ft, 3 AHUs): 10 kW Indoor air quality is not aected . 100 buildings: 1 MW That's just using the fans! 28 / 47
  • 115. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? 29 / 47
  • 116. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? Tens of Gigawatts from commercial buildings 29 / 47
  • 117. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? Tens of Gigawatts from commercial buildings Can we obtain a resource as eective as today's spinning reserves? 29 / 47
  • 118. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? Tens of Gigawatts from commercial buildings Can we obtain a resource as eective as today's spinning reserves? Yes!! Buildings are well-suited to balancing reserves, and other high-frequency regulation resources 29 / 47
  • 119. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? Tens of Gigawatts from commercial buildings Can we obtain a resource as eective as today's spinning reserves? Yes!! Buildings are well-suited to balancing reserves, and other high-frequency regulation resources Secondary control following a contingency? This remains an open question. 29 / 47
  • 120. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? Tens of Gigawatts from commercial buildings Can we obtain a resource as eective as today's spinning reserves? Yes!! Buildings are well-suited to balancing reserves, and other high-frequency regulation resources Secondary control following a contingency? This remains an open question. How to compute baselines? 29 / 47
  • 121. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? Tens of Gigawatts from commercial buildings Can we obtain a resource as eective as today's spinning reserves? Yes!! Buildings are well-suited to balancing reserves, and other high-frequency regulation resources Secondary control following a contingency? This remains an open question. How to compute baselines? Who cares? The utility or aggregator is responsible for the equipment { the consumer cannot `play games' in a real time market! 29 / 47
  • 122. Demand Dispatch Buildings as Batteries What do you think? Questions: Capacity? Tens of Gigawatts from commercial buildings Can we obtain a resource as eective as today's spinning reserves? Yes!! Buildings are well-suited to balancing reserves, and other high-frequency regulation resources Secondary control following a contingency? This remains an open question. How to compute baselines? Who cares? The utility or aggregator is responsible for the equipment { the consumer cannot `play games' in a real time market! What open issues do you see? 29 / 47
  • 123. Demand Dispatch One Million Pools in Florida For ancillary service on a slower time-scale 600 400 200 0 −200 −400 −600 Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 MW 30 / 47
  • 124. Demand Dispatch One Million Pools in Florida For ancillary service on a slower time-scale 600 400 200 0 −200 −400 −600 Day 1 Day 2 Day 3 Day 4 Day 5 Day 6 Day 7 MW ... and many other on/o loads 30 / 47
  • 126. Conclusions Suggestions What is the Value of Power? Answers to Quiz #1 Wind generation for one day in the Pacic Northwest Price is $20/MWh 8000 6000 4000 2000 0 April 6 MW 1600 MW average output Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? 31 / 47
  • 127. Conclusions Suggestions What is the Value of Power? Answers to Quiz #1 Wind generation for one day in the Pacic Northwest Price is $20/MWh 8000 6000 4000 2000 0 April 6 MW 1600 MW average output Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? Answer: Correct! Electrons are electrons, so add them up, and put them on the market! 32 / 47
  • 128. Conclusions Suggestions What is the Value of Power? Answers to Quiz #1 Wind generation for one day in the Pacic Northwest Price is $20/MWh 8000 6000 4000 2000 0 April 6 MW 1600 MW average output Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? Answer: False!! Spring 2012 report from this region: Annual expected value of oversupply costs estimated at $12 million per year, with 300,000 MWh of wind curtailment www.nwcouncil.org/media/11074/2012 1212SupplementalReport.pdf 32 / 47
  • 129. Conclusions Suggestions What is the Value of Power? Answers to Quiz #1 Wind generation for one day in the Pacic Northwest Price is $20/MWh 8000 6000 4000 2000 0 April 6 MW 1600 MW average output Value = 1600 MW x 24 hours x $20/MWh = $768,000 ? Answer: False!! Spring 2012 report from this region: Annual expected value of oversupply costs estimated at $12 million per year, with 300,000 MWh of wind curtailment The
  • 130. rst answer would be correct if we had infrastructure in place to mitigate volatility www.nwcouncil.org/media/11074/2012 1212SupplementalReport.pdf 32 / 47
  • 131. Conclusions Suggestions What is the Value of Power? Answers to Quiz #2 Zero net power Price is $20/MWh 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW Value = 0 MW x 7 days x $20/MWh = $0 ? 33 / 47
  • 132. Conclusions Suggestions What is the Value of Power? Answers to Quiz #2 Zero net power Price is $20/MWh 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW Value = 0 MW x 7 days x $20/MWh = $0 ? Answer: Correct! The total power is zero, and the 800 MW perturbation is inconsequential given the 8000 MW load 34 / 47
  • 133. Conclusions Suggestions What is the Value of Power? Answers to Quiz #2 Zero net power Price is $20/MWh 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW Value = 0 MW x 7 days x $20/MWh = $0 ? Answer: False! Disturbance to the grid is costly, the actual value is $500,000 (guess) 34 / 47
  • 134. Conclusions Suggestions What is the Value of Power? Answers to Quiz #2 Zero net power Price is $20/MWh 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW Value = 0 MW x 7 days x $20/MWh = $0 ? Answer: False! Disturbance to the grid is costly, the actual value is $500,000 (guess) Answer: False!! This is the BPA regulation signal! The actual value is ... 34 / 47
  • 135. Conclusions Suggestions What is the Value of Power? Answers to Quiz #2 April 3 April 4 April 5 April 6 April 7 April 8 April 9 35 / 47
  • 136. Conclusions Suggestions What is the Value of Power? Answers to Quiz #2 Answer: False!! This is the BPA regulation signal! The actual value is ... 36 / 47
  • 137. Conclusions Suggestions What is the Value of Power? Answers to Quiz #2 Answer: False!! This is the BPA regulation signal! The actual value is ... 8000 6000 4000 2000 0 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW MW Load Generation from Wind Balancing reserves deployed Curtailment tresholds Value no less than the 800 600 400 200 0 −200 −400 −600 −800 Seattle economy? -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 36 / 47
  • 138. Conclusions Suggestions What is the Value of Power? Extra credit: What if one resource cannot provide all of the balancing needs? Balancing Reserves Desired What’s the value of this: 800 600 400 200 0 −200 −400 −600 −800 -1000 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW MW 37 / 47
  • 139. Conclusions Suggestions What is the Value of Power? Extra credit: What if one resource cannot provide all of the balancing needs? Balancing Reserves Desired What’s the value of this: 800 600 400 200 0 −200 −400 −600 −800 -1000 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW MW 38 / 47
  • 140. Conclusions Suggestions What is the Value of Power? Extra credit: What if the shape isn't quite right? Balancing Reserves Desired What’s the value of this: 800 600 400 200 −200 −400 −600 −800 -1000 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW MW 39 / 47
  • 141. Conclusions Suggestions What is the Value of Power? Extra credit: What if the shape isn't quite right? Balancing Reserves Desired What’s the value of this: Answer, Delay is deadly in a control system 800 600 400 200 −200 −400 −600 −800 -1000 800 600 400 200 0 −200 −400 −600 −800 -1000 April 3 April 4 April 5 April 6 April 7 April 8 April 9 MW MW 40 / 47
  • 142. Conclusions Suggestions Where is the risk? 41 / 47
  • 143. Conclusions Suggestions Where is the risk? Let us count the ways... 41 / 47
  • 144. Conclusions Suggestions Where is the risk? Let us count the ways... Does the grid operator obtain reliable service? 35 30 25 20 15 10 5 0 -5 -10 -15 20 15 10 5 0 -5 -10 -15 6:00 7:00 8:00 9:00 6:00 7:00 8:00 9:00 Regulation (MW) Gen 'A' Actual Regulation Gen 'A' Requested Regulation -20 : Regulation (MW) Gen 'B' Actual Regulation Gen 'B' Requested Regulation Traditionally, regulation service is not great 41 / 47
  • 145. Conclusions Suggestions Where is the risk? Let us count the ways... Does the grid operator obtain reliable service? Is transmission planning adequate? 41 / 47
  • 146. Conclusions Suggestions Where is the risk? Let us count the ways... Does the grid operator obtain reliable service? Is transmission planning adequate? 41 / 47
  • 147. Conclusions Suggestions Where is the risk? Let us count the ways... Does the grid operator obtain reliable service? Is transmission planning adequate? Adequate maintenance? 41 / 47
  • 148. Conclusions Suggestions Where is the risk? Let us count the ways... Does the grid operator obtain reliable service? Is transmission planning adequate? Adequate maintenance? $9000 3000 $/MWh Insulate the coal plant? February 2, 2011 Are you crazy?? 2000 1000 0 5am 10am 3pm 8pm −500 41 / 47
  • 149. Conclusions Suggestions Where is the risk? Let us count the ways... Does the grid operator obtain reliable service? Is transmission planning adequate? Adequate maintenance? Predictable bills to consumers? 41 / 47
  • 150. Conclusions Suggestions Where is the risk? Let us count the ways... Does the grid operator obtain reliable service? Is transmission planning adequate? Adequate maintenance? Predictable bills to consumers? 300 200 100 $/MWh Hour Mean Price Zone Bid Price Market Clearing Price 00 5 10 15 20 25 Prices in PNNL study 41 / 47
  • 151. Conclusions Suggestions Where is the risk? Short term markets =) lack of planning =) risk From an anonymous colleague in industry: Actual economic dispatch modeling plays a relatively minor part in the traditional process of facilities planning (generation and transmission). Much more attention is placed on construction and
  • 152. nancing costs (and uncertainty associated with these), uncertainty of fuel prices, uncertainty of market prices, uncertainty of future technological advances, uncertainty of future environmental regulation, uncertainty of other political factors, etc. 42 / 47
  • 153. Conclusions Suggestions Where is the risk? Short term markets =) lack of planning =) risk From an anonymous colleague in industry: Actual economic dispatch modeling plays a relatively minor part in the traditional process of facilities planning (generation and transmission). Much more attention is placed on construction and
  • 154. nancing costs (and uncertainty associated with these), uncertainty of fuel prices, uncertainty of market prices, uncertainty of future technological advances, uncertainty of future environmental regulation, uncertainty of other political factors, etc. My experience is that we (the planners) always had a long-term look. Our recommendations and decisions were always based on long-term net present value analysis. In fact, the reason we looked out only 30 years was because this was roughly the expected life span of a generating station. 42 / 47
  • 155. Conclusions Suggestions The current RTM paradigm must be reconsidered Why have real time markets? No value has been demonstrated for real-time markets. 43 / 47
  • 156. Conclusions Suggestions The current RTM paradigm must be reconsidered Why have real time markets? No value has been demonstrated for real-time markets. Empirical evidence: We cannot distinguish robbery from eciency. 43 / 47
  • 157. Conclusions Suggestions The current RTM paradigm must be reconsidered Why have real time markets? No value has been demonstrated for real-time markets. Empirical evidence: We cannot distinguish robbery from eciency. Is This A Free Market For Fire Fighters? 43 / 47
  • 158. Conclusions Suggestions The current RTM paradigm must be reconsidered Why have real time markets? No value has been demonstrated for real-time markets. Empirical evidence: We cannot distinguish robbery from eciency. Is This A Free Market For Fire Fighters? Why then would you use real-time prices to control devices? 43 / 47
  • 159. Conclusions Suggestions The current RTM paradigm must be reconsidered Why have real time markets? No value has been demonstrated for real-time markets. Empirical evidence: We cannot distinguish robbery from eciency. Is This A Free Market For Fire Fighters? Why then would you use real-time prices to control devices? Today's contracts with DR resources demonstrate alternatives 43 / 47
  • 160. Conclusions Suggestions The current RTM paradigm must be reconsidered Alternatives TOU prices for peak shaving, and Contracts for real-time demand-response services 44 / 47
  • 161. Conclusions Suggestions The current RTM paradigm must be reconsidered Alternatives TOU prices for peak shaving, and Contracts for real-time demand-response services Successful contracts today: Constellation Energy, Alcoa, residential pool pumps, commercial buildings (see new work at Univ. of Florida), ... Eciency loss*, but utility and consumers each have reliable services *Extra credit: De
  • 162. ne eciency 44 / 47
  • 163. Conclusions Suggestions The current RTM paradigm must be reconsidered Alternatives TOU prices for peak shaving, and Contracts for real-time demand-response services Successful contracts today: Constellation Energy, Alcoa, residential pool pumps, commercial buildings (see new work at Univ. of Florida), ... Eciency loss, but utility and consumers each have reliable services New smart appliances that can facilitate these contracts 44 / 47
  • 164. Conclusions Suggestions The current RTM paradigm must be reconsidered Alternatives Control theory to make this all work: We don't know why the grid is so robust today. Introducing all of these dynamics may lead to new control challenges. Policy that is guided by an understanding of physics and economics 44 / 47
  • 165. Conclusions Suggestions The current RTM paradigm must be reconsidered Alternatives Control theory to make this all work: We don't know why the grid is so robust today. Introducing all of these dynamics may lead to new control challenges. Policy that is guided by an understanding of physics and economics Thank You! 44 / 47
  • 166. Conclusions Suggestions Pre-publication version for on-line viewing. Monograph ava ilable for purchase at your favorite retailer More information available at http://www.cambridge.org/us/catalogue/catalogue.asp?isbn=9780521884419 Control Techniques FOR Complex Networks Sean Meyn August 2008 Pre-publication version for on-line viewing. Monograph to appear Februrary 2009 Markov Chains and Stochastic Stability (f) Pn(x, · ) − f 0 V (x) −f(x) + bIC(x) sup C Ex[SC (f)] S. P. Meyn and R. L. Tweedie References 45 / 47
  • 167. References References: Economics G. Wang, M. Negrete-Pincetic, A. Kowli, E. Sha
  • 168. eepoorfard, S. Meyn, and U. Shanbhag. Dynamic competitive equilibria in electricity markets. In A. Chakrabortty and M. Illic, editors, Control and Optimization Theory for Electric Smart Grids. Springer, 2011. G. Wang, A. Kowli, M. Negrete-Pincetic, E. Sha
  • 169. eepoorfard, and S. Meyn. A control theorist's perspective on dynamic competitive equilibria in electricity markets. In Proc. 18th World Congress of the International Federation of Automatic Control (IFAC), Milano, Italy, 2011. S. Meyn, M. Negrete-Pincetic, G. Wang, A. Kowli, and E. Sha
  • 170. eepoorfard. The value of volatile resources in electricity markets. In Proc. of the 10th IEEE Conf. on Dec. and Control, Atlanta, GA, 2010. I.-K. Cho and S. P. Meyn. Eciency and marginal cost pricing in dynamic competitive markets with friction. Theoretical Economics, 5(2):215{239, 2010. U.S. Energy Information Administration. Smart grid legislative and regulatory policies and case studies. December 12 2011. http://www.eia.gov/analysis/studies/electricity/pdf/smartggrid.pdf 46 / 47
  • 171. References References: Demand Response A. Brooks, E. Lu, D. Reicher, C. Spirakis, and B. Weihl. Demand dispatch. IEEE Power and Energy Magazine, 8(3):20{29, May 2010. H. Hao, T. Middelkoop, P. Barooah, and S. Meyn. How demand response from commercial buildings will provide the regulation needs of the grid. In 50th Allerton Conference on Communication, Control, and Computing, pages 1908{1913, 2012. H. Hao, Y. Lin, A. Kowli, P. Barooah, and S. Meyn. Ancillary service to the grid through control of fans in commercial building HVAC systems. IEEE Trans. on Smart Grid, 5(4):2066{2074, July 2014. S. Meyn, P. Barooah, A. Busic, Y. Chen, and J. Ehren. Ancillary service to the grid using intelligent deferrable loads. ArXiv e-prints: arXiv:1402.4600 and to appear, IEEE Trans. on Auto. Control, 2014. D. Callaway and I. Hiskens, Achieving controllability of electric loads. Proceedings of the IEEE, vol. 99, no. 1, pp. 184{199, 2011. P. Xu, P. Haves, M. Piette, and J. Braun, Peak demand reduction from pre-cooling with zone temperature reset in an oce building, 2004. D. Watson, S. Kiliccote, N. Motegi, and M. Piette, Strategies for demand response in commercial buildings. In Proceedings of the 2006 ACEEE Summer Study on Energy Eciency in Buildings, August 2006. 47 / 47