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January 28, 2019
Atlanta, GA
Self-Contained Metering
Fundamentals and
Introduction to
Meter Testing
Prepared by Tom Lawton, TESCO
The Eastern Specialty Company
for MEUA Meter School 102
March 3, 2020
9:15 a.m. – 11: 15 a.m.
11:15 a.m. – 12:00 noon
2
Questions to Answer
• Why do we test?
• How do we test?
• What types of meter tests are there?
• How do utility tests differ from customer request
tests?
• What is In-Service Testing?
• How do we know meter tests are good?
• What do we do with the test data?
• What is the electrical theory behind the testing
we do?
3
Our regulatory commissions require us to test meters.
But only for accuracy. State regulatory commissions
want electric utilities to ensure that no customer is being
billed unfairly and that no subset of customers is being
unfairly subsidized by the rest of the rate payers. Some
states mandate only accuracy tests and others require
demand and time of use accuracy tests.
Any tests beyond accuracy tests are tests that are simply
good business practice.
Why Do We Test?
4
Complaint Testing
Customers always have the right to request a meter test.
Some utilities and some jurisdictions allow for testing at
the customer site, others require a test in a laboratory
environment.
Some allow the customer to witness the test and others
require the utility commission to witness the test.
Utilities must show that the meter tests well and must
demonstrate that they have a test program in place to
ensure the meters in service are performing well.
5
General Meter Testing Requirements
♦ New Meters
■ Manufacturers tests
■ In-house tests on new
shipments
♦ Return to Service Testing
♦ In-Service Meters
■ Periodic Tests
■ Selective, random, or
statistical testing
♦ Retirement tests
♦ Testing of related metering equipment
6
New Meter Testing Programs
• Accept the Manufacturer’s Test results
• Perform a Statistical Test of an incoming shipment
• Perform a 100% test of an incoming shipment
7
Return to Service Testing
• Meters to be returned to
service must always
(virtually every utility
commission requires this)
be accuracy tested before
being returned to service.
• Best business practices
also require that the meter
is functionally tested as
well.
8
In Service Testing
Meter Testing for new and in-service meters is specified
in ANSI C12.1-2015, American National Standard for
Electric Meters, Code for Electricity Metering. Most utility
commissions use this Standard a reference or the basis
for their meter testing requirements.
9
Test Plans for Meters
Four test plan options available:
9
• Periodic
• Statistical
10
Periodic Test Plans
♦ Periodic
■ Varies by State
■ Example provided by ANSI C12.1:
● Each Electro Mechanical meter is tested once every 8
years
● All other Meters are tested every 16 years
● Appendix D provides details for other meters & devices
● No guidance for AMI meters
■ Generally, average of 12.5% of population tested per year
8 Years 16 Years
11
Statistical Test Plans
The Best Approach
ANSI C12.1-2001 Code for Electricity Metering Guidance
Paragraph 5.1.4.3.3 Statistical sampling plan
“The statistical sampling plan used shall conform to accepted principles of
statistical sampling based on either variables or attributes methods. Meters shall
be divided into homogeneous groups, such as manufacturer and manufacturer’s
type. The groups may be further divided into subdivision within the
manufacturer’s type by major design modifications.”
NOTE - Examples of statistical sampling plans
can be found in ANSI/ASQC Z1.9, the ANSI
version of MIL-STD-414 and ANSI/ASQC Z1.4,
the ANSI version of MIL-STD-105.
12
Why Use a Statistical Testing Plan?
• Focuses testing on the proper meters
• Minimizes number of meters to be tested; usually requires
less than 30% of what a periodic testing plan requires
• Provides data and analysis tools for use in
understanding what is happening with installed meters
or for use in the purchasing of new meters
13
Homogeneous Population(s)
• The groups or populations being sampled and tested
are made up of the same or similar items, items
which operate in the same way and were made in the
same manner.
• For electric meters, this has traditionally been
interpreted as being meters of a specific meter
type from a manufacturer (i.e. AB1, J5S, MX, etc.).
• AMR & AMI programs have helped to make the
overall populations more homogenous. This makes a
utility with AMR & AMI meters better prepared to
take advantage of a statistical sampling plan.
14
Testing of a Meter vs Testing a Site
Test an installation and system and not just a meter!
Test programs may need to involve testing and checking the
meter performance as well as checking and testing the
installation. This more extensive test check list needs to be
done especially for the higher revenue C&I customers.
15
16
Meter Testing Traceability
♦ Test equipment to NIST standards
♦ Tracking number of meters to be tested per State
Commission requirements
♦ Tracking meter test data
● Meter Records
● Meter Data Management
System (MDMS)
17
• Traceability is defined as ability to link the results of the
calibration and measurement to related standard and/or
reference (preferably national or international standard)
through an unbroken chain of comparisons.
• Calibration is typically performed by measuring a test unit
against a known standard or reference.
• Master standard (i.e. gages) are kept by National
Measurement Institute (NMI) of each country.
Meter Testing Traceability
18
• National Institute of Standards and Technology (NIST)
provides internal tracking numbers, which are often used as
evidence of traceability.
• WARNING! NIST does not certify or guarantee that
calibration and measurements are correct, nor does it provide
any kind of certification of accuracy and calibration. NIST only
provides certifications for the work performed by them.
Meter Testing Traceability
19
Meter Testing Traceability - Standards
20
• National Standard
In the US, this is maintained by NIST, in Canada by NRC. Not all countries
have a National Standards group and even the US does not have a group for
every item of interest to an electric utility (e.g. voltage transformers)
• Reference/Master Standard
Item of highest metrological quality located at a site where calibration is being
conducted.
Transfer Standard
Lower level of Reference Standard and used for calibration of lower level
calibration requirements measuring devices.
• Working Standard
Lower level of Reference Standard and used for calibration of lower level
calibration requirements measuring devices. Should be compared to Master
Standard or Reference Standard on regular basis; used for daily checks
comparisons of the calibrated devices.
Meter Testing Traceability - Standards
21
Test Equipment Calibration
Primary Requirement: Traceable to NIST Standards
• Meter Test Boards, Field Test Kits calibrated to a known
master standard maintained at Meter Shop.
 Some periodicity such as monthly or quarterly
• Reference or Master standard calibrated by outside vendor
traceable to NIST or directly by NIST.
 Usually annually
22
Tracking Meter Records
• AMI programs help to update and overhaul meter record
systems.
• Having the records for the entire meter population updated
allows for a better chance that test data is available to
answer questions and that any meter may be selected as
part of the sample for testing.
23
Meter Test Data Tracking
Test data should be tracked throughout meter life
– Certification testing, first article, acceptance testing, in-service
(field & shop), retirement
• Meter test data should be linked to meter record data such as meter
form, amps, voltage, display type, etc.
• Best time to start to develop the
program is before the meters are being
installed.
• Accuracy test data is usually collected
automatically as new meters are tested
in meter shops or cross docks.
24
Meter Test Data Tracking
• Need to consider tracking non-accuracy functional testing (meter
software configuration, service disconnect testing, voltage, etc.)
• Use installation reports to determine if there is any initial concerns
about the meters being installed.
• Typical reports that should be available:
• Failed Meter Report, Project to Date
• Electric Meters on Network Report
25
Meter Test Data Tracking System
• System should track meter test results for ease of future
reference or for response to public or Utility Commission
inquiries.
• Maybe part of Meter Data Management System (MDMS) or
a separate Meter Records system.
• Requires discipline in collecting & entering data, especially
field tests.
26
Basic Electrical Laws
Ohms Law
Voltage = Current times Resistance
V = I X R
THE MOST USEFUL AND THE MOST
FUNDAMENTAL OF THE ELECTRICAL LAWS
27
Basic Concepts: Electricity and Water
Comparing Electricity to Water flowing from a hose
■ Voltage is the equivalent of the pressure in the hose
■ Current is water flowing through a hose (coulombs/sec vs
gal/sec). The water in a system is the “charge” (coulombs)
■ Impedance(Resistance) is the size of the hose. The nozzle
would provide a change in resistance.
■ Power is how fast water flows from a pipe (gallons per minute vs
kilowatts). Power is a rate of energy consumption
28
Basic Concepts: Electricity and Water
29
Practical Electricity
30
Basic Electrical Laws
♦ Ohms Law Examples
■ If V = 20 volts and I = 5 amperes what is the resistance?
R = V / I = 20 / 5 = 4 ohms
■ If R = 20 ohms and V = 120 volts what is the current?
I = V / R = 120 / 20 = 6 amps
■ If I = 10 amperes and R = 24 ohms what is the voltage?
V = I x R = 10 x 24 = 240 volts
■ Problem: If V = 240 volts and R = 6 ohms what is the current?
I = V / R = 240 / 6 = 40 amps
31
Basic Electrical Laws
32
Basic Electrical Laws
♦ Power = Voltage x Current = V x I = I2R = V2/R
■ If V = 20 volts and I = 8 amperes what is the power?
P = V x I = 20 x 8 = 160 watts
■ If R = 5 ohms and V = 120 volts what is the power?
P = V2/R = 120 x 120 / 5 = 2880 watts
■ If I = 10 amperes and R = 20 ohms what is the power?
P = I2R = 10 x 10 x 20 = 2000 watts
1 kilowatt (kW) = 1,000 watts
1 megawatt (MW) = 1,000,000 watts
33
Basic Electrical Laws
♦ Kirchoff’s Voltage Law (KVL)
♦ The sum of the voltages around a circuit loop is zero.
V = V1 + V2 + V3 = I * (R1 + R2 + R3) = I1 * R1 + I2 * R2 + I3 * R3
I = I1 = I2 = I3
Resistors in
series add
34
Basic Electrical Laws
♦ Kirchoff’s Voltage Law (KVL) – PROBLEM #1
I = V / R = V / (R1 + R2 + R3) = 120/(10+20+30) = 2
amperes
V1 = I*R1 = 2 *10 = 20 volts
V2 = I*R2 = 2 *20 = 40 volts
V3 = I*R3 = 2 *30 = 60 volts
What is the current in
the circuit?
What are V1, V2, V3?
35
Basic Electrical Laws
♦ Kirchoff’s Current Law (KCL)
♦ The sum of the currents at a node in a circuit is zero.
I = I1 + I2 + I3
■ If Loads are placed in parallel they sum up.
■ So does power
P = V x I = V x I1 + V x I2 + V x I3
36
Basic AC Theory
Power – The Simple View
E = Voltage (rms)
I = Current (rms)
PF = Power Factor
Power = Watts = E x I x PF
Power is sometimes
referred to as Demand
Sinusoidal
Waveforms
Only
NO
Harmonics
For a 120 Volt service drawing
13 Amps at Unity (1.0) PF,
how much power is being drawn?
Power = 120 x 13 x 1.0 = 1560 Watts
37
Basic Meter Math
Power – The Simple View
For a 120 Volt service drawing
13 Amps at 0.866 PF,
how much power is being drawn?
Power = 120 x 13 x 0.866 = 1351 Watts
For a 480 Volt service drawing
156 Amps at 0.712 PF,
how much power is being drawn?
Power = 480 x 156 x 0.712 = 53,315 Watts
38
Basic AC Theory
Power – The Simple View
In the previous example we had:
Power = 480 x 156 x 0.712 = 53,315 Watts
Normally we don’t talk about Watts, we speak in Kilowatts
1000 Watts = 1 Kilowatt = 1 kW
Watts / 1000 = Kilowatts
For a 480 Volt service drawing
156 Amps at Unity (0.712) PF,
how many Kilowatts are being drawn?
Power = 480 x 156 x 0.712 / 1000 = 53.315 kW
39
Basic AC Theory
Energy – What We Sell
If power is how fast water flows from a pipe,
then energy is how much water we have in a bucket
after the water has been flowing for a specified time.
Energy = Power x Time
1 kW for 1 Hour = 1 Kilowatt-Hour = 1 kWh
Energy (Wh) = E x I x PF x T
where T = time in hours
Energy (kW) = (E x I x PF / 1000) x T
40
Basic Meter Math
Energy – What We Sell
For a 120 Volt service drawing 45 Amps at a
Power Factor of 0.9 for 1 day,
how much Energy (kWh) has been used?
Energy = (120 x 45 x 0.9 / 1000) x 24 = 116.64 kWh
For a 240 Volt service drawing 60 Amps at a
Power Factor of 1.0 for 5.5 hours,
how much Energy (kWh) has been used?
Energy = (240 x 60 x 1.0 / 1000) x 5.5 = 79.2 kWh
41
Basic Meter Math
Energy – What We Sell
For a 120 Volt service drawing 20 Amps at a
Power Factor of 0.8 from 8:00AM to 6:00PM,
and 1 Amp at PF=1.0 from 6:00PM to 8:00AM
how much Energy (kWh) has been used?
8:00AM to 6:00PM = 10 hours
6:00PM to 8:00AM = 14 hours
Energy = (120 x 20 x 0.8 / 1000) x 10 = 19.2 kWh
Energy = (120 x 1 x 1 / 1000) x 14 = 1.68 kWh
Energy = 19.2 kWh + 1.68 kWh = 20.88 kWh
42
Basic AC Theory
What is VA?
Power was measured in Watts. Power does useful work.
The power that does useful work is referred to as
“Active Power.”
VA is measured in Volt-Amperes. It is the capacity
required to deliver the Power. It is also referred to as the
“Apparent Power.”
Power Factor = Active Power / Apparent Power
VA = E x I
PF = W/VA
43
Basic Meter Math
Power – VA
For a 120 Volt service drawing 13 Amps at 0.866 PF
How much power is being drawn?
Power = 120 x 13 x 0.866 = 1351 Watts
How many VA are being drawn?
VA = 120 x 13 = 1560 Volt-Amperes
44
Basic Meter Math
Power – VA
For a 480 Volt service drawing 156 Amps at 0.712 PF
How much power is being drawn?
Power = 480 x 156 x 0.712 = 53,315 Watts
How many VA are being drawn?
VA = 480 x 156 = 74,880 Volt-Amperes
45
Basic Meter Math
Power – VA
For a 120 Volt service drawing 60 Amps at 1.00 PF
How much power is being drawn?
Power = 120 x 60 x 1.00 = 7,200 Watts
How many VA are being drawn?
VA = 120 x 60 = 7,200 Volt Amperes
46
Basic AC Theory
Power Factor = 1.0
AC
RVrms
Irms
47
Basic Energy Formula
• The essential specification of a watthour meter’s measurement
is given by the value
Kh [ Watthours per disk revolution ]
• The watthour meter formula is as follows:
   srevolutiondisk
revolutiondisk
watthours
Watthours nKE h *




48
Meter Shop Accuracy Test Demo
49
Questions to Answer
• Why do we test?
• How do we test?
• What types of meter tests are there?
• How do utility tests differ from customer request
tests?
• What is In-Service Testing?
• How do we know meter tests are good?
• What do we do with the test data?
• What is the electrical theory behind the testing
we do?
50
Questions?
Tom Lawton
TESCO – The Eastern Specialty Company
Bristol, PA
215-785-2338
This presentation can also be found under Meter
Conferences and Schools on the TESCO web site:
www.tescometering.com

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Self Contained Metering Fundamentals and Introduction to Meter Testing

  • 1. 1 January 28, 2019 Atlanta, GA Self-Contained Metering Fundamentals and Introduction to Meter Testing Prepared by Tom Lawton, TESCO The Eastern Specialty Company for MEUA Meter School 102 March 3, 2020 9:15 a.m. – 11: 15 a.m. 11:15 a.m. – 12:00 noon
  • 2. 2 Questions to Answer • Why do we test? • How do we test? • What types of meter tests are there? • How do utility tests differ from customer request tests? • What is In-Service Testing? • How do we know meter tests are good? • What do we do with the test data? • What is the electrical theory behind the testing we do?
  • 3. 3 Our regulatory commissions require us to test meters. But only for accuracy. State regulatory commissions want electric utilities to ensure that no customer is being billed unfairly and that no subset of customers is being unfairly subsidized by the rest of the rate payers. Some states mandate only accuracy tests and others require demand and time of use accuracy tests. Any tests beyond accuracy tests are tests that are simply good business practice. Why Do We Test?
  • 4. 4 Complaint Testing Customers always have the right to request a meter test. Some utilities and some jurisdictions allow for testing at the customer site, others require a test in a laboratory environment. Some allow the customer to witness the test and others require the utility commission to witness the test. Utilities must show that the meter tests well and must demonstrate that they have a test program in place to ensure the meters in service are performing well.
  • 5. 5 General Meter Testing Requirements ♦ New Meters ■ Manufacturers tests ■ In-house tests on new shipments ♦ Return to Service Testing ♦ In-Service Meters ■ Periodic Tests ■ Selective, random, or statistical testing ♦ Retirement tests ♦ Testing of related metering equipment
  • 6. 6 New Meter Testing Programs • Accept the Manufacturer’s Test results • Perform a Statistical Test of an incoming shipment • Perform a 100% test of an incoming shipment
  • 7. 7 Return to Service Testing • Meters to be returned to service must always (virtually every utility commission requires this) be accuracy tested before being returned to service. • Best business practices also require that the meter is functionally tested as well.
  • 8. 8 In Service Testing Meter Testing for new and in-service meters is specified in ANSI C12.1-2015, American National Standard for Electric Meters, Code for Electricity Metering. Most utility commissions use this Standard a reference or the basis for their meter testing requirements.
  • 9. 9 Test Plans for Meters Four test plan options available: 9 • Periodic • Statistical
  • 10. 10 Periodic Test Plans ♦ Periodic ■ Varies by State ■ Example provided by ANSI C12.1: ● Each Electro Mechanical meter is tested once every 8 years ● All other Meters are tested every 16 years ● Appendix D provides details for other meters & devices ● No guidance for AMI meters ■ Generally, average of 12.5% of population tested per year 8 Years 16 Years
  • 11. 11 Statistical Test Plans The Best Approach ANSI C12.1-2001 Code for Electricity Metering Guidance Paragraph 5.1.4.3.3 Statistical sampling plan “The statistical sampling plan used shall conform to accepted principles of statistical sampling based on either variables or attributes methods. Meters shall be divided into homogeneous groups, such as manufacturer and manufacturer’s type. The groups may be further divided into subdivision within the manufacturer’s type by major design modifications.” NOTE - Examples of statistical sampling plans can be found in ANSI/ASQC Z1.9, the ANSI version of MIL-STD-414 and ANSI/ASQC Z1.4, the ANSI version of MIL-STD-105.
  • 12. 12 Why Use a Statistical Testing Plan? • Focuses testing on the proper meters • Minimizes number of meters to be tested; usually requires less than 30% of what a periodic testing plan requires • Provides data and analysis tools for use in understanding what is happening with installed meters or for use in the purchasing of new meters
  • 13. 13 Homogeneous Population(s) • The groups or populations being sampled and tested are made up of the same or similar items, items which operate in the same way and were made in the same manner. • For electric meters, this has traditionally been interpreted as being meters of a specific meter type from a manufacturer (i.e. AB1, J5S, MX, etc.). • AMR & AMI programs have helped to make the overall populations more homogenous. This makes a utility with AMR & AMI meters better prepared to take advantage of a statistical sampling plan.
  • 14. 14 Testing of a Meter vs Testing a Site Test an installation and system and not just a meter! Test programs may need to involve testing and checking the meter performance as well as checking and testing the installation. This more extensive test check list needs to be done especially for the higher revenue C&I customers.
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  • 16. 16 Meter Testing Traceability ♦ Test equipment to NIST standards ♦ Tracking number of meters to be tested per State Commission requirements ♦ Tracking meter test data ● Meter Records ● Meter Data Management System (MDMS)
  • 17. 17 • Traceability is defined as ability to link the results of the calibration and measurement to related standard and/or reference (preferably national or international standard) through an unbroken chain of comparisons. • Calibration is typically performed by measuring a test unit against a known standard or reference. • Master standard (i.e. gages) are kept by National Measurement Institute (NMI) of each country. Meter Testing Traceability
  • 18. 18 • National Institute of Standards and Technology (NIST) provides internal tracking numbers, which are often used as evidence of traceability. • WARNING! NIST does not certify or guarantee that calibration and measurements are correct, nor does it provide any kind of certification of accuracy and calibration. NIST only provides certifications for the work performed by them. Meter Testing Traceability
  • 20. 20 • National Standard In the US, this is maintained by NIST, in Canada by NRC. Not all countries have a National Standards group and even the US does not have a group for every item of interest to an electric utility (e.g. voltage transformers) • Reference/Master Standard Item of highest metrological quality located at a site where calibration is being conducted. Transfer Standard Lower level of Reference Standard and used for calibration of lower level calibration requirements measuring devices. • Working Standard Lower level of Reference Standard and used for calibration of lower level calibration requirements measuring devices. Should be compared to Master Standard or Reference Standard on regular basis; used for daily checks comparisons of the calibrated devices. Meter Testing Traceability - Standards
  • 21. 21 Test Equipment Calibration Primary Requirement: Traceable to NIST Standards • Meter Test Boards, Field Test Kits calibrated to a known master standard maintained at Meter Shop.  Some periodicity such as monthly or quarterly • Reference or Master standard calibrated by outside vendor traceable to NIST or directly by NIST.  Usually annually
  • 22. 22 Tracking Meter Records • AMI programs help to update and overhaul meter record systems. • Having the records for the entire meter population updated allows for a better chance that test data is available to answer questions and that any meter may be selected as part of the sample for testing.
  • 23. 23 Meter Test Data Tracking Test data should be tracked throughout meter life – Certification testing, first article, acceptance testing, in-service (field & shop), retirement • Meter test data should be linked to meter record data such as meter form, amps, voltage, display type, etc. • Best time to start to develop the program is before the meters are being installed. • Accuracy test data is usually collected automatically as new meters are tested in meter shops or cross docks.
  • 24. 24 Meter Test Data Tracking • Need to consider tracking non-accuracy functional testing (meter software configuration, service disconnect testing, voltage, etc.) • Use installation reports to determine if there is any initial concerns about the meters being installed. • Typical reports that should be available: • Failed Meter Report, Project to Date • Electric Meters on Network Report
  • 25. 25 Meter Test Data Tracking System • System should track meter test results for ease of future reference or for response to public or Utility Commission inquiries. • Maybe part of Meter Data Management System (MDMS) or a separate Meter Records system. • Requires discipline in collecting & entering data, especially field tests.
  • 26. 26 Basic Electrical Laws Ohms Law Voltage = Current times Resistance V = I X R THE MOST USEFUL AND THE MOST FUNDAMENTAL OF THE ELECTRICAL LAWS
  • 27. 27 Basic Concepts: Electricity and Water Comparing Electricity to Water flowing from a hose ■ Voltage is the equivalent of the pressure in the hose ■ Current is water flowing through a hose (coulombs/sec vs gal/sec). The water in a system is the “charge” (coulombs) ■ Impedance(Resistance) is the size of the hose. The nozzle would provide a change in resistance. ■ Power is how fast water flows from a pipe (gallons per minute vs kilowatts). Power is a rate of energy consumption
  • 30. 30 Basic Electrical Laws ♦ Ohms Law Examples ■ If V = 20 volts and I = 5 amperes what is the resistance? R = V / I = 20 / 5 = 4 ohms ■ If R = 20 ohms and V = 120 volts what is the current? I = V / R = 120 / 20 = 6 amps ■ If I = 10 amperes and R = 24 ohms what is the voltage? V = I x R = 10 x 24 = 240 volts ■ Problem: If V = 240 volts and R = 6 ohms what is the current? I = V / R = 240 / 6 = 40 amps
  • 32. 32 Basic Electrical Laws ♦ Power = Voltage x Current = V x I = I2R = V2/R ■ If V = 20 volts and I = 8 amperes what is the power? P = V x I = 20 x 8 = 160 watts ■ If R = 5 ohms and V = 120 volts what is the power? P = V2/R = 120 x 120 / 5 = 2880 watts ■ If I = 10 amperes and R = 20 ohms what is the power? P = I2R = 10 x 10 x 20 = 2000 watts 1 kilowatt (kW) = 1,000 watts 1 megawatt (MW) = 1,000,000 watts
  • 33. 33 Basic Electrical Laws ♦ Kirchoff’s Voltage Law (KVL) ♦ The sum of the voltages around a circuit loop is zero. V = V1 + V2 + V3 = I * (R1 + R2 + R3) = I1 * R1 + I2 * R2 + I3 * R3 I = I1 = I2 = I3 Resistors in series add
  • 34. 34 Basic Electrical Laws ♦ Kirchoff’s Voltage Law (KVL) – PROBLEM #1 I = V / R = V / (R1 + R2 + R3) = 120/(10+20+30) = 2 amperes V1 = I*R1 = 2 *10 = 20 volts V2 = I*R2 = 2 *20 = 40 volts V3 = I*R3 = 2 *30 = 60 volts What is the current in the circuit? What are V1, V2, V3?
  • 35. 35 Basic Electrical Laws ♦ Kirchoff’s Current Law (KCL) ♦ The sum of the currents at a node in a circuit is zero. I = I1 + I2 + I3 ■ If Loads are placed in parallel they sum up. ■ So does power P = V x I = V x I1 + V x I2 + V x I3
  • 36. 36 Basic AC Theory Power – The Simple View E = Voltage (rms) I = Current (rms) PF = Power Factor Power = Watts = E x I x PF Power is sometimes referred to as Demand Sinusoidal Waveforms Only NO Harmonics For a 120 Volt service drawing 13 Amps at Unity (1.0) PF, how much power is being drawn? Power = 120 x 13 x 1.0 = 1560 Watts
  • 37. 37 Basic Meter Math Power – The Simple View For a 120 Volt service drawing 13 Amps at 0.866 PF, how much power is being drawn? Power = 120 x 13 x 0.866 = 1351 Watts For a 480 Volt service drawing 156 Amps at 0.712 PF, how much power is being drawn? Power = 480 x 156 x 0.712 = 53,315 Watts
  • 38. 38 Basic AC Theory Power – The Simple View In the previous example we had: Power = 480 x 156 x 0.712 = 53,315 Watts Normally we don’t talk about Watts, we speak in Kilowatts 1000 Watts = 1 Kilowatt = 1 kW Watts / 1000 = Kilowatts For a 480 Volt service drawing 156 Amps at Unity (0.712) PF, how many Kilowatts are being drawn? Power = 480 x 156 x 0.712 / 1000 = 53.315 kW
  • 39. 39 Basic AC Theory Energy – What We Sell If power is how fast water flows from a pipe, then energy is how much water we have in a bucket after the water has been flowing for a specified time. Energy = Power x Time 1 kW for 1 Hour = 1 Kilowatt-Hour = 1 kWh Energy (Wh) = E x I x PF x T where T = time in hours Energy (kW) = (E x I x PF / 1000) x T
  • 40. 40 Basic Meter Math Energy – What We Sell For a 120 Volt service drawing 45 Amps at a Power Factor of 0.9 for 1 day, how much Energy (kWh) has been used? Energy = (120 x 45 x 0.9 / 1000) x 24 = 116.64 kWh For a 240 Volt service drawing 60 Amps at a Power Factor of 1.0 for 5.5 hours, how much Energy (kWh) has been used? Energy = (240 x 60 x 1.0 / 1000) x 5.5 = 79.2 kWh
  • 41. 41 Basic Meter Math Energy – What We Sell For a 120 Volt service drawing 20 Amps at a Power Factor of 0.8 from 8:00AM to 6:00PM, and 1 Amp at PF=1.0 from 6:00PM to 8:00AM how much Energy (kWh) has been used? 8:00AM to 6:00PM = 10 hours 6:00PM to 8:00AM = 14 hours Energy = (120 x 20 x 0.8 / 1000) x 10 = 19.2 kWh Energy = (120 x 1 x 1 / 1000) x 14 = 1.68 kWh Energy = 19.2 kWh + 1.68 kWh = 20.88 kWh
  • 42. 42 Basic AC Theory What is VA? Power was measured in Watts. Power does useful work. The power that does useful work is referred to as “Active Power.” VA is measured in Volt-Amperes. It is the capacity required to deliver the Power. It is also referred to as the “Apparent Power.” Power Factor = Active Power / Apparent Power VA = E x I PF = W/VA
  • 43. 43 Basic Meter Math Power – VA For a 120 Volt service drawing 13 Amps at 0.866 PF How much power is being drawn? Power = 120 x 13 x 0.866 = 1351 Watts How many VA are being drawn? VA = 120 x 13 = 1560 Volt-Amperes
  • 44. 44 Basic Meter Math Power – VA For a 480 Volt service drawing 156 Amps at 0.712 PF How much power is being drawn? Power = 480 x 156 x 0.712 = 53,315 Watts How many VA are being drawn? VA = 480 x 156 = 74,880 Volt-Amperes
  • 45. 45 Basic Meter Math Power – VA For a 120 Volt service drawing 60 Amps at 1.00 PF How much power is being drawn? Power = 120 x 60 x 1.00 = 7,200 Watts How many VA are being drawn? VA = 120 x 60 = 7,200 Volt Amperes
  • 46. 46 Basic AC Theory Power Factor = 1.0 AC RVrms Irms
  • 47. 47 Basic Energy Formula • The essential specification of a watthour meter’s measurement is given by the value Kh [ Watthours per disk revolution ] • The watthour meter formula is as follows:    srevolutiondisk revolutiondisk watthours Watthours nKE h *    
  • 49. 49 Questions to Answer • Why do we test? • How do we test? • What types of meter tests are there? • How do utility tests differ from customer request tests? • What is In-Service Testing? • How do we know meter tests are good? • What do we do with the test data? • What is the electrical theory behind the testing we do?
  • 50. 50 Questions? Tom Lawton TESCO – The Eastern Specialty Company Bristol, PA 215-785-2338 This presentation can also be found under Meter Conferences and Schools on the TESCO web site: www.tescometering.com