At a 12.47 kV (line to line) distribution system the communication interference (CI) was observed due to 5% of 5th harmonic currents generated by a 3000 kVA arc furnace. In order to avoid CI it is required to convert an existing 600 kVAr capacitor to 5th harmonic filter considering the total kVAr should not exceed 135%. Calculate the following: (i) Capacitor reactance (ii) Reactance of the series reactor (iii) Fundamental frequency current (iv) 5th harmonic frequency current (v) Tuned frequency voltage (vi) Total rms current (vii) Fundamental frequency voltage (viii) Voltage (rms) across the capacitor bank (ix) Check whether the filter kVAr rating is within limit? (x) Comment how the existing capacitor bank is converted to filter

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
Chapter5: Transmission Lines: Steady-state Operation
Section: Chapter Questions
Problem 5.24MCQ
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. At a 12.47 kV (line to line) distribution system the communication interference (CI) was observed due to 5% of 5th harmonic currents generated by a 3000 kVA arc furnace. In order to avoid CI it is required to convert an existing 600 kVAr capacitor to 5th harmonic filter considering the total kVAr should not exceed 135%. Calculate the following: (i) Capacitor reactance (ii) Reactance of the series reactor (iii) Fundamental frequency current (iv) 5th harmonic frequency current (v) Tuned frequency voltage (vi) Total rms current (vii) Fundamental frequency voltage (viii) Voltage (rms) across the capacitor bank (ix) Check whether the filter kVAr rating is within limit? (x) Comment how the existing capacitor bank is converted to filter
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