May 2008
Intermediate to advanced
340 pages
9h 41m
English
Content preview from Electrical Power System Essentials
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1.7 POWER IN THREE-PHASE CIRCUITS
The power (consumed by a load or produced by a generator) in a three-phase network can be found easily by adding up the power for each of the three phases. For balanced three-phase systems, the three-phase complex power is three times the complex power of the single-phase equivalent network. Therefore, the following equations hold for the complex, apparent, active and reactive power:
VLL the line-to-line voltage phasor
VLN the line-to-neutral voltage phasor
I the current phasor
Example 1.13 Three-phase power
The loaded single-phase short transmission line in Example 1.7 (p. 27), with a (line-to-neutral) voltage at the receiving end of|Vr, LN| = 10kV, can be interpreted as an equivalent line-to-neutral diagram of a balanced three-phase short transmission line with a line-to-line voltage at the receiving end of |Vr, LL| = 10 kV, which is loaded by a balanced wye-connected inductive load. The three-phase active power consumed by the load can be calculated in the following (equivalent) ways (see also Example 1.9 (p. 32)):
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