L17Example

L17Example - ECE 524: Transients in Power Systems Session...

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ECE 524: Transients in Power Systems Session 17; Page 1/8 Spring 2012 ECE 524: Lecture 14 Define units: MW 1000kW  MVA MW  MVAr MVA  f 60Hz  ω 2 π f  ω 376.99 rad s μ sec 10 6 s  t 0 1.5 μ sec 1 60 sec   Transient recovery voltage reduction with resistive switching V LL 34.5kV  V m 2 3 V LL  L 1 3.157mH  If we include source resistance with X/R=12 ω L 1 12 0.0992 ohm C para 12.7nF  ω n 1 L 1 C para  ω n 1.58 10 5 rad s f n ω n 2 π  f n 25.14 kHz With no TRV reduction (and neglecting circuit resistance) v cNoR t () ω n 2 ω n 2 ω 2 V m cos ω t ( ) cos ω n t   Worst case: V cpk ω n 2 ω n 2 ω 2 V m 2  V cpk 56.34 kV Select a TRV reduction resistor to reduce the TRV by 40% We know (if the resonant frequency is high and the response is underdamped which would be for this amount of reduction): v c t V m 1e α t cos ω d t α ω d sin ω d t =
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ECE 524: Transients in Power Systems Session 17; Page 2/8 Spring 2012 where: α 1 2R C = ω d ω n 2 α 2
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This note was uploaded on 02/28/2012 for the course ECE 524 taught by Professor Staff during the Spring '08 term at Idaho.

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L17Example - ECE 524: Transients in Power Systems Session...

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