Rcitation7_n - Electric Energy Processing Fundamentals and Applications Power Flow Example 18-418 Recitation#7 Dr Nermeen T

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1 Electric Energy Processing: Fundamentals and Applications 18-418: Recitation #7 Dr. Nermeen T. Mahmoud ( [email protected] ) October 7,2009 Power Flow Example
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2 Admittance Matrix Z 12 Z 1 1 2 I 1 I 2 2 2 22 2 12 1 2 1 11 1 12 2 1 0 0 0 I Z V Z V V I Z V Z V V I
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3 Admittance Matrix 2 1 2 1 22 12 12 12 11 12 2 2 22 12 1 12 1 2 12 1 11 12 * 1 1 1 1 1 1 * 1 1 * 1 * 1 * 1 1 I I V V Z Z Z Z Z Z I V Z Z V Z I V Z V Z Z Y bus (N,N) All Admittances connected to bus 1 All Admittances connected to bus 2 The admittance between Bus 1 and 2
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4 Reduced Admittance Matrix Y red • Used to solve for nodal voltages in terms of current injections • V= Y red -1 I n red n I I I Y V V V . . . . 3 2 1 3 2
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5 Susceptance Matrix     2 1 2 1 22 12 12 12 11 12 22 22 2 22 11 11 1 11 12 * 1 1 1 1 ; 0 I I V V B B B B B B B Z JX Z B Z JX Z JX Z R C C L B bus (N,N)
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6 AC Power Flow I i i ) sin( ) cos( ........ 1 1 1 1 1 3 3 2 2 1 1 i k ik N k i k ik i i k ik N k i k ik i i N k k ik i i i N k k ik i i i i i i N k k ik N iN i i i i V V Y Q V V Y P V V Y jQ P V V Y I V S I V S V Y V Y V Y V Y V Y I
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This note was uploaded on 09/20/2010 for the course ECE 18418 taught by Professor Illic during the Fall '09 term at Carnegie Mellon.

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Rcitation7_n - Electric Energy Processing Fundamentals and Applications Power Flow Example 18-418 Recitation#7 Dr Nermeen T

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