2. In the following two-machine system, the voltages of sending and receiving ends are V₁ = 104/10° (kv) and V₂ = 10020° (kV), respectively. Also, the line impedance is Z = j5 (the line resistance is negligible). a) Calculate the active and reactive powers delivered and received on both sides. b) By adding the series capacitor in this line, we want to increase the amount of transmitted active power by 30%. What capacity do we need for the capacitor? c) We place a phase angle regulator (PAR) in this line so that it injects a voltage of 10 kV vertical to the sending voltage. By using this PAR, what changes in the transmitted power? I₁₂ Z= R + jx₁ = |Z|

2. In the following two-machine system, the voltages of sending and receiving ends are V₁ = 104/10° (kv) and V₂ = 10020° (kV), respectively. Also, the line impedance is Z = j5 (the line resistance is negligible). a) Calculate the active and reactive powers delivered and received on both sides. b) By adding the series capacitor in this line, we want to increase the amount of transmitted active power by 30%. What capacity do we need for the capacitor? c) We place a phase angle regulator (PAR) in this line so that it injects a voltage of 10 kV vertical to the sending voltage. By using this PAR, what changes in the transmitted power? I₁₂ Z= R + jx₁ = |Z|

Power System Analysis and Design (MindTap Course List)

6th Edition

ISBN:9781305632134

Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma

Chapter11: Transient Stability

Section: Chapter Questions

Problem 11.19P

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