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Prepared by Tom Lawton, TESCO
The Eastern Specialty Company
For North Carolina Meter School
June 13, 2022
2:45 PM
POLYPHASE METERING
101
1
1-PHASE AND 3-PHASE POWER
Voltage = Vmax sine 
0 30 60 90 120 150 180 210 240 270 300 330 360
V
tescometering.com 2
1-PHASE AND 3-PHASE POWER
Forward Rotation,ABC
VA
VC
VB
1200
1200
1200
Volts Phase A Volts Phase B Volts Phase C
0 30 60 90 120 150 180 210 240 270 300 330 360
tescometering.com 3
THE NEED FOR 3-PHASE POWER
Single-phase motors provide a pulsating
torque to a mechanical load. Loads which
require more than 10 horsepower generally
also require the steadier torque of a
3-phase motor.
tescometering.com 4
BENEFITS OF 3-PHASE POWER
Steadier motor torque
Less vibration in machinery
Greater mechanical efficiency
Better voltage regulation
Lower heat losses
Lighter weight conductors
tescometering.com 5
NETWORK SERVICE & LOADS
A-B
B-N
A-N
A
C
B
N
Need to meter line-neutral and line-line loads.
120 V
120 V
208 V
tescometering.com 6
NETWORK SERVICE & LOADS
120
and
208
volt
loads
A
B
C
A
B
C
C
N
N
B
A
N
N
tescometering.com 7
3-WIRE DELTA SERVICE & LOADS
A-B
C-A
B-C
A-B-C
Need to meter single phase line-line
loads, as well as three phase loads.
A
C
B
tescometering.com 8
A-N
B-N
B-C
A-B
C-A
A-B-C
A
C
B
N
Need to meter single phase line-neutral and
line-line loads, as well as three phase loads.
4-WIRE DELTA SERVICE & LOADS
tescometering.com 9
4-WIRE WYE SERVICE & LOADS
C-N
A-N
B-N
B-C
A-B
C-A
A
C
B
N
A-B-C
Need to meter single phase line-neutral and
line-line loads, as well as three phase loads.
tescometering.com 10
BLONDEL’S THEOREM
Blondel says:
If energy is supplied to any system of conductors through N wires,
the total power in the system is given by the algebraic sum of
readings of N wattmeters, so arranged that each of the N wires
contains one current coil, the corresponding potential coil being
connected between that wire and some common point. If this
common point is on one of the N wires, the measurement may be
made by the use of N-1 wattmeters.
Andre E. Blondel, 1893
• We would use “watthour meters” in place of “watt meters” and “energy” in place of “power”.
• We would also consider “ground” as a possible current carrying conductor when counting “N”.
tescometering.com 11
BLONDEL’S THEOREM
• In a system of N conductors, N-1 meter elements,
properly connected, will measure the power or energy
taken. The connection must be such that all voltage
coils have a common tie to the conductor in which there
is no current coil.1
1 From the Handbook For Electricity Metering, 9th edition.
tescometering.com 12
WHAT IS A METER FORM NUMBER?
• A Form designation tells us:
• The number and arrangement of meter terminals, and
• The number and internal connection of meter elements
(stators).
• The Form designation describes the meter, not
the service.
• With modern meters, some meter Forms may be used to
correctly meter more than one service configuration.
• More than one meter Form could be used with a
particular service depending on the connection of the
Instrument Transformers.
• The same Form designation is usually applicable
to equivalent meters of all manufacturers.
tescometering.com 13
WILL’S METER FORMS CHEAT SHEET
Consolidated
by kV2c
Form 16S
Consolidated
by kV2c
Form 9S
SERVICE
SELF-CONT
FORM
XFMR-RATD
FORM
NUMBER OF
ELEMENTS
1-Phase, 2-Wire 1S 3S 1
1-Phase, 3-Wire 2S 4S 1.5
Network, 3-Wire
12S 5S / 45S 2
3-Phase, 3-Wire, Delta
3-Phase, 4-Wire, Delta 15S 8S
2.5
3-Phase, 4-Wire, Wye
14S 6S / 36S
16S 9S 3
Blondel
Solution
tescometering.com 14
NETWORK, 3-WIRE
0
120V
208V
1
120V
2
tescometering.com 15
NETWORK, 3-WIRE
tescometering.com 16
NETWORK, 3-WIRE
tescometering.com 17
3-PHASE, 3-WIRE, DELTA
3
A
A
1
A
2
A = 120V, 240V, or 480V
tescometering.com 18
3-PHASE, 3-WIRE, DELTA
tescometering.com 19
3-PHASE, 3-WIRE, DELTA
tescometering.com 20
3-PHASE, 4-WIRE, DELTA
240V
240V
240V
120V
120V
208V
3
1
2
0
tescometering.com 21
3-PHASE, 4-WIRE, DELTA
tescometering.com 22
3-PHASE, 4-WIRE, DELTA
tescometering.com 23
3-PHASE, 4-WIRE, WYE
tescometering.com 24
N
A
B
VB-N
VA-N
VC-A
VA-B
VB-C
C
VC-N
Line Voltages
(208 or 480V)
Phase Voltages
(120 or 277V)
3-PHASE, 4-WIRE, WYE
tescometering.com 25
3-PHASE, 4-WIRE, WYE
tescometering.com 26
3-PHASE, 4 WIRE, WYE
tescometering.com 27
3-PHASE, 4-WIRE, WYE
tescometering.com 28
4-WIRE WYE METERING
.tescometering.com 29
Form 9
3 Element,
4 wire, wye
K Y Z
Form 6
2½ Element,
4 wire, wye
Form 36
2½ Element,
4 wire, wye
K Y Z
K Y Z
Transformer-rated
4-WIRE, WYE METERING
tescometering.com 30
N
K Y Z
C
B
A
9S
Transformer-rated
4-WIRE, WYE METERING
tescometering.com 31
N
C
B
A
K Y Z
6S
Transformer-rated
4-WIRE, WYE METERING
tescometering.com 32
N
C
B
A
36S
Transformer-rated
Form 5 Form 35 Form 45
Typically used for 3 wire Network or 3 wire, 3 phase Delta applications
Occasionally used for other service types including 2 wire single phase, 4 wire Wye and
4 wire Delta (except Fm 35 not for 4W Delta)
Transformer-rated
2 ELEMENT METERS
tescometering.com 33
2 ELEMENT METERS
tescometering.com 34
45S
A
LINE
C
LINE
N
LINE
A
LOAD
C
LOAD
N
LOAD
3 wire, network
A
C
B
C
3 wire, delta
A
POLYPHASE METERS
Other Considerations
• Meter Multipliers
– Self Contained: The meter multiplier is 1
– Transformer Rated: The multiplier is (typically) the
product of the CT and VT ratio
• Service Types
– Some polyphase meters may be used in
multiple service types
• Selection
– Proper wiring and form selection is critical
tescometering.com 35
POLYPHASE METERS
• Select the meter based on the source, not the load.
– The “service type” is not always obvious.
– Loads other than the “known” load can be connected
and may be unmetered.
• Meter form numbers describe certain meter
characteristics not the service or application
• Consider that ground can be a current carrying
conductor when applying Blondel’s Theorem.
• Understand the operation of present day, polyphase
solid state meters and how they may be used to
advantage
tescometering.com 36
kVArh
kVArh
kVArh
COMBINING POLYPHASE KVAH
tescometering.com 37
kVArh
kVArh
kVArh
C
kWh
B
kWh
A
kWh
Vectoral Method (as the crow flies):
(kWhA + kWhB + kWhC)2 + (kVArhA + kVArhB + kVArhC)2
COMBINING POLYPHASE KVAH
.tescometering.com 38
kVArh
kVArh
kVArh
Arithmetic Method:
kWhA
2 + kVArhA
2 + kWhB
2 + kVArhB
2 + kWhC + kVArhC
2 2
COMBINING POLYPHASE KVAH
tescometering.com 39
kVArh
kVArh
kVArh
C
kWh
B
kWh
A
kWh
Arithmetically combined kVAh > Vectorally combined kVAh
They are equal only if all phases have equal phase angles.
COMBINING POLYPHASE KVAH
tescometering.com 40
VL-L =  3 VL-N
We can prove this
by constructing the
Line-voltage (L-L)
phasors based on
the Phase-voltage
(L-N) phasors.
1200
0
120 VA-N
1200
VOLTAGES IN A WYE-CONNECTION
tescometering.com 41
0
120 VA-N
1200
300
1200 300
VOLTAGES IN A WYE-CONNECTION
tescometering.com 42
VA-C VA-N
=
sine 1200 sine 300
VA-C = VA-N sine 1200 / sine 300
VA-C =  3 VA-N
1200
VA-N
Using the Law of Sines:
300
300
VOLTAGES IN A WYE-CONNECTION
tescometering.com 43
tescometering.com 44
Tom Lawton
tom.lawton@tescometering.com
TESCO – The Eastern Specialty Company
Bristol, PA
215-228-0500
This presentation can also be found under Meter Conferences and
Schools on the TESCO website: tescometering.com
ISO 9001:2015 Certified Quality Company
ISO 17025:2017 Accredited Laboratory
QUESTIONS AND DISCUSSION

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