Explanation Discussion: In a balanced three phase system the total instantaneous power is equal to the sum of the instantaneous power in the three phases. P i = P a i + P b i + P c i Here, P a i is the instantaneous true power of the phase a , P b i is the instantaneous true power of the phase b , and P c i is the instantaneous true power of the phase c . The total instantaneous power is constant, it does not change with the time as like as the instantaneous power of the each phase. In trigonometric identity, the total instantaneous power can be written as follows. P i = 3 V p I p cos θ . (1) The average power per phase ( P p ) can be found in either connection (delta or star) as follows. P p = V p I p cos θ In a balanced three phase system the total average power is equal to the sum of the average power in the three phases. P a v g = P a . a v g + P b . a v g + P c . a v g P a v g = 3 P p { ∵ P a

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ISBN: 9780078028229

Author: Charles K Alexander, Matthew Sadiku

Publisher: McGraw-Hill Education

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Choose the correct option to check whether the statement “Total instantaneous power of balanced three-phase circuit is equal to the average power of the circuit” is true or false.

Solution Summary: The author explains that the total instantaneous power of a balanced three-phase circuit is equal to the average power in the three phases.

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Choose the correct option to check whether the statement “Total instantaneous power of balanced three-phase circuit is equal to the average power of the circuit” is true or false.

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