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Chapter 34: Metering Of Polyphase Circuit

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FieldValue
SourceTheory and Calculation of Alternating Current Phenomena
Year1916
Section IDtheory-calculation-alternating-current-phenomena-chapter-34
Locationlines 37128-37452
Statuscandidate
Word Count1263
Equation Candidates In Section0
Figure Candidates In Section5
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CHAPTER XXXIV METERING OF POLYPHASE CIRCUIT 299. The power of a polyphase system or circuit is the sum of the powers of all the individual branch circuits, and the sum of the wattmeter readings of all the branch circuits thus gives the total power. Let, then, in a general polyphase system, ei, e^, e^ . . . e„ = potentials at the n terminals or supply wires of the /?-phase system. These may be represented topographically by points in a plane, as shown in Fig. 218. ,^-'-' ^^ Fig. 218. The voltage between any two terminals e^ and e^ then is: e.7fc = ei — ek ' (1) And this voltage, in any circuit connected between these two terminals, produces a current, %ik, as the current, which flows from e,- to eu through this circuit.
... since a number of circuits may and usually are con- nected between the n terminals. Consider one of these numerous circuits of the general w-phase system, that of the current /»<.• passing from ei to ek. The power of this circuit is: Pik = [ei - Ck, iik] (2) where the brackets denote the effective power, as discussed in Chapter XVI. Choosing any point ex, which may be one of the terminals, or the neutral point of the system, if such exists, or any other point. Then the voltage e^ — ek can be resolved by the parallelogram (Fig. 218) into the vo ...
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theory-calculation-alternating-current-phenomena-fig-218,^-’-’ ^^ Fig. 218. The voltage between any two terminals e^ and e^ then is: e.7fc = ei — ek ’ (1)line 37147
theory-calculation-alternating-current-phenomena-fig-219-0- FiG. 219. Thus, if Fig. 220 denotes a general three-wire, three-phase sys- tem, with the voltages and currents in the three phases:line 37331
theory-calculation-alternating-current-phenomena-fig-220•3, ‘3 Fig. 220. The voltages may be unequal in sizes and under unequal angles, by a distortion of the three-phase triangle, but it must be:line 37344
theory-calculation-alternating-current-phenomena-fig-221-OD- Fig. 221. system, if the current lags, the two wattmeter coils do not read alike, as the voltmeter coil in the one lags by the angle of lag ofline 37399
theory-calculation-alternating-current-phenomena-fig-222-0- FiG. 222. In a four- wire, three-phase system, the connection of the twoline 37441
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