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CHAPTER 1: THREE-PHASE POWER MEASUREMENT

EPM 6010 MULTI-FUNCTION POWER METERING SYSTEM – USER GUIDE

1–5

FIGURE 1–5: Three-Phase, Four-Wire Delta Phasors

1.1.3

Blondell’s Theorem and Three Phase Measurement

In 1893 an engineer and mathematician named Andre E. Blondell set forth the first 
scientific basis for poly phase metering. His theorem states:

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 the 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.

The theorem may be stated more simply, in modern language:

In a system of N conductors, N-1 meter elements will measure the power or energy 
taken provided that all the potential coils have a common tie to the conductor in 
which there is no current coil.

Three-phase power measurement is accomplished by measuring the three 
individual phases and adding them together to obtain the total three phase value. In 
older analog meters, this measurement was accomplished using up to three 
separate elements. Each element combined the single-phase voltage and current to 
produce a torque on the meter disk. All three elements were arranged around the 
disk so that the disk was subjected to the combined torque of the three elements. As 
a result the disk would turn at a higher speed and register power supplied by each 
of the three wires.

 

According to Blondell's Theorem, it was possible to reduce the number of elements under 
certain conditions. For example, a three-phase, three-wire delta system could be correctly 
measured with two elements (two potential coils and two current coils) if the potential coils 
were connected between the three phases with one phase in common. 

In a three-phase, four-wire wye system it is necessary to use three elements. Three voltage 
coils are connected between the three phases and the common neutral conductor. A 
current coil is required in each of the three phases.

Vca

Vab

Vbc

Vnc

Vbn

120 V

120 V

Содержание Multilin EPM 6010

Страница 1: ...ion 1 17 Manual P N 1601 0038 A1 Manual Order Code GEK 113637 Copyright 2012 GE Digital Energy GE Digital Energy 215 Anderson Avenue Markham Ontario Canada L6E 1B3 Tel 905 294 6222 Fax 905 201 2098 In...

Страница 2: ...cuits and sources of electric power Failure to shut equipment off prior to removing the power connections could expose you to dangerous voltages causing injury or death All recommended equipment that...

Страница 3: ...ous situation which if not avoided could result in minor or moderate injury Note Indicates significant issues and practices that are not related to personal injury NOTE Indicates general information a...

Страница 4: ......

Страница 5: ...2 6 3 MECHANICAL INSTALLATION INTRODUCTION 3 1 ANSI INSTALLATION STEPS 3 3 DIN INSTALLATION STEPS 3 4 EPM6010 TRANSDUCER INSTALLATION 3 5 4 ELECTRICAL INSTALLATION CONSIDERATIONS WHEN INSTALLING METE...

Страница 6: ...METER S WEB INTERFACE 6 10 HOME WEB PAGE 6 10 BACNET OBJECTS STATUS WEB PAGE 6 11 CHANGE PASSWORD WEB PAGE 6 12 STATISTICS WEB PAGE 6 13 RESET CONFIGURATION WEB PAGE 6 14 USING THE EPM6010 IN A BACNET...

Страница 7: ...DE TOC 3 APPENDIX C DNP MAPPING FOR EPM6010 INTRODUCTION C 1 DNP MAPPING DNP 1 TO DNP 2 C 2 APPENDIX D DNP 3 0 PROTOCOL ASSIGNMENTS FOR EPM6010 DNP IMPLEMENTATION D 1 DATA LINK LAYER D 2 TRANSPORT LAY...

Страница 8: ...TOC 4 EPM 6010 MULTI FUNCTION POWER METERING SYSTEM USER GUIDE...

Страница 9: ...a wye connection or a delta connection Each connection has several different manifestations in actual use When attempting to determine the type of connection in use it is a good practice to follow th...

Страница 10: ...t from the ideal 120o separation Three phase voltages and currents are usually represented with a phasor diagram A phasor diagram for the typical connected voltages and currents is shown below FIGURE...

Страница 11: ...ntains four wires if you trace the circuit back to its source usually a transformer In this type of connection the phase to ground voltage will be the phase to ground voltage indicated in the table ab...

Страница 12: ...er of the delta is grounded This means the phase to ground voltage will be zero for one phase and will be full phase to phase voltage for the other two phases This is done for protective purposes FIGU...

Страница 13: ...here is no current coil Three phase power measurement is accomplished by measuring the three individual phases and adding them together to obtain the total three phase value In older analog meters thi...

Страница 14: ...rent simultaneously and calculate the individual phase and three phase power values The advantage of simultaneous sampling is the reduction of error introduced due to the difference in time when the s...

Страница 15: ...N POWER METERING SYSTEM USER GUIDE 1 7 power flow in three wires This will require three voltage coils and three current coils a three element meter Similar figures and conclusions could be reached fo...

Страница 16: ...based in part on the amount of energy used Typically electrical energy is measured in units of kilowatt hours kWh A kilowatt hour represents a constant load of one thousand watts one kilowatt for one...

Страница 17: ...y to accumulate the energy readings as illustrated in Figure 1 7 above and adjust the energy reading to an hourly value that constitutes the demand In the example the accumulated energy is 14 92 kWh B...

Страница 18: ...mand it is necessary to accumulate the energy readings as illustrated in the Power Use Over Time figure above and adjust the energy reading to an hourly value that constitutes the demand In the exampl...

Страница 19: ...GUIDE 1 11 FIGURE 1 8 Energy Use and Demand Intervals As seen in this example it is important to recognize the relationships between power energy and demand in order to effectively control loads or t...

Страница 20: ...nt that is at quadrature angularly rotated 90o or perpendicular to the voltage Figure 1 9 shows a single phase voltage and current and breaks the current into its in phase and quadrature components FI...

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