hw5-key - EE 295 - Homework 5 solutions April 28, 2010 1...

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Unformatted text preview: EE 295 - Homework 5 solutions April 28, 2010 1 Readings 1. Chapters 8 and 9 of Bergen & Vittal 2 From the textbook (Bergen/Vittal) 2.1 Problem 8.2. To solve this problem we will want to follow the proceedure in example 8.1 (p.279). Ultimately we need to find the system transfer function: G g ( s ) = k v 1 + sT d and then integrate this to find | V a | . To First we need to find K d and K q using Z = R + jX = 0 . 05 + j . 8 and the values given in the book: K d =- ( X + X q ) ( r + R ) 2 + ( X + X d )( X + X q ) = 1 . 5385 K q = ( r + R ) ( r + R ) 2 + ( X + X d )( X + X q ) = 0 . 7692 Given these we can find | K | = ( K 2 d + K 2 q ) 1 / 2 = 1 . 7201 , | Z | = ( R 2 + X 2 ) 1 / 2 = 0 . 8016 , from which we can calculate k V and : k v = | K || Z | = 1 . 3788 = 1 1- ( X d- X d ) K d =- 4 . 3328 1 Now we can calculate G g : G g ( s ) = | V a | ( s ) = k v 1 + sT d =- 5 . 9741 1- 17 . 3312 s = . 3447 s- . 0577 Now we can integrate to get | V a | ( t ) = 5 . 974( e . 0577...
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hw5-key - EE 295 - Homework 5 solutions April 28, 2010 1...

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