Explanation Discussion: Write the expression for the total average power for Y-connected system or Δ -connected system. P = 3 V p I p cos θ (1) Here, V p is phase voltage magnitude. I p is phase current magnitude. θ is power factor angle. Write the expression for the total reactive power for Y-connected system or Δ -connected system. Q = 3 V p I p sin θ (2) For Y-connected: The relation between line phase parameters is, I L = I p and V L = 3 V p Substitute I L for I p and V L 3 for V p in equation (1). P Y = 3 ( V L 3 ) ( I L ) cos θ P Y = 3 V L I L cos θ Substitute I L for I p and V L 3 for V p in equation (2). Q Y = 3 ( V L 3 ) ( I L ) sin θ Q Y = 3 V L I L sin θ For Δ -connected: The relation between line phase parameters is, I L = 3 I p and V L = V p Substitute I L 3 for I p and V L for V p in equation (1)

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ISBN: 9780078028229

Author: Charles K Alexander, Matthew Sadiku

Publisher: McGraw-Hill Education

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Chapter 12, Problem 10RQ

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Chapter 12 Solutions

Fundamentals of Electric Circuits

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Choose the correct option to check whether the given statement “The total power supplied to a system connected in Δ or star is found in a same way” is true or false.

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Choose the correct option to check whether the given statement “The total power supplied to a system connected in Δ or star is found in a same way” is true or false.

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Chapter 12 Solutions