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ETAP - optimal power flow (OPF)
1.
© 1996-2009 Operation
Technology, Inc. – Workshop Notes: Optimal Power Flow Optimal Power Flow (OPF)
2.
Slide 2© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Table of Contents • Review of Load Flow Solution • Optimal Power Flow Approach • Comparison of LF and OPF • Optimization Examples • Power Balance Equation • Control Variables • Objective Functions • Other Constraints • OPF Study Case Editor
3.
Slide 3© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Review of Load Flow Solution • Given generation, loading and control settings (Mwgen, Vgen, LTC, Capacitor Bank, …) • Solve bus voltages and branch flows • Check over/under voltage, device overloading conditions • Reset controls and run Load Flow again • Iterative process
4.
Slide 4© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Optimal Power Flow Approach • Given control setting ranges • Specify bus voltage and branch loading constraints • Select optimization objectives (Min. P Losses, Min. Q Losses, …) • Solve bus voltages, branch flows and control settings • Direct solution
5.
Slide 5© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Comparison of LF and OPF
6.
Slide 6© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Optimization Example 1 • Objective function: Min. y(x) = 20x2 –80x–10 • Control variable x range: 0 x 10 Non-constrained -200 0 200 400 600 800 1000 1200 1400 0 5 10 15 X Y Solution Found
7.
Slide 7© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Optimization Example 2 • Objective function: Min. y(x) = 20x2 –80x–10 • Control variable x range: 0 x 10 • Balance equation y = 60x – 100 Solution Found Constrained (Solution Found) -200 0 200 400 600 800 1000 1200 1400 0 5 10 15 X Y
8.
Slide 8© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Optimization Example 3 • Objective function: Min. y(x) = 20x2 –80x–10 • Control variable x range: 0 x 10 • Balance equation y = 20x – 300 Solution not found! (Infeasible) Constrained (No Solution) -400 -200 0 200 400 600 800 1000 1200 1400 0 5 10 15 X Y
9.
Slide 9© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Pgen – Pload – Ploss = 0 Qgen – Qload – Qloss = 0 P = 0 and Q = 0 Power Balance Equation Load Flow Solves Power Balance Equation Only
10.
Slide 10© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Control Variables • Load Tap Changer (LTC) Settings • Generator AVR Settings • Generator MW Generation • Series or Shunt VAR Compensator Settings • Phase Shift Transformer Tap Positions • Switched Capacitor Settings • Load Shedding • DC Line Flow • …
11.
Slide 11© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Objective Functions • Minimize Real Power Losses - To minimize real power losses in the system • Minimize Reactive Power Losses - To minimize reactive power losses in the system • Minimize Swing Bus Power - To minimize real power generation at the swing bus(s)
12.
Slide 12© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Objective Functions • Minimize Shunt var Devices - To minimize var generation from available shunt var control devices • Minimize Fuel Cost - To minimize total generation fuel cost • Minimize Series Compensation - To minimize var generation from available series var control devices
13.
Slide 13© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Objective Functions • Minimize Load Shedding - To minimize load to be shed from the available bus load shed schedule • Minimize Control Movement - To minimize total number of controls • Minimize Control Adjustment - To minimize overall adjustment from all controls
14.
Slide 14© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Objective Functions • Maximize Voltage Security Index Where, AllBuses i n i avgii dV VV 2 , IndexSecurityVoltage 2 min,max, , ii avgi VV V 2 min,max, ii i VV dV
15.
Slide 15© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow • Maximize Line Flow Security Index Where, is the line rating • Flat Voltage Profile - Voltage Magnitude difference between all buses is minimum Objective Functions sAllBranche i n i i S S 2 IndexSecurityFlowLine iSd
16.
Slide 16© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow Other Constraints • Bus Voltage Constraints • Branch Flow Constraints • Interface Flow Constraints • …
17.
Slide 17© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow OPF Study Case Editor (Objectives)
18.
Slide 18© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow OPF Study Case Editor (Controls)
19.
Slide 19© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow OPF Study Case Editor (Controls)
20.
Slide 20© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow OPF Study Case Editor (Controls)
21.
Slide 21© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow OPF Study Case Editor (Controls)
22.
Slide 22© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow OPF Study Case Editor (Constraints)
23.
Slide 23© 1996-2009
Operation Technology, Inc. – Workshop Notes: Optimal Power Flow OPF Study Case Editor (Constraints)
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