Rcitation10 - 1 Electric Energy Processing: Fundamentals...

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Unformatted text preview: 1 Electric Energy Processing: Fundamentals and Applications 18-418: Recitation #10 Dr. Jovan Ilic Dr. Nermeen T. Mahmoud November 11,2009 Power system network analysis and optimization 2 Power System Analysis 1) AC Power Flow:- System of nonlinear equations Solved by iteration (Newton Raphson Method) Calculate P, Q for slack bus Voltage magnitude and angle for load bus. Q and voltage angle for generator bus. 3 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 4 AC Power Flow 2n G +2n L +2 2n L 2n G 2 No. of Equations 2n L n L Load (i=1,2,,n L ) 2n G +2n L +2 N=1+n G +n L Totals 2n G n G Generator (i=2,3,..,n G ) 2 1 Slack No. of Unknown Quantities specified No. of buses Bus Type 1 1 , V i i V P , i i Q P , 5 ) sin( ) sin( ) cos( ) cos( 1 2 1 1 2 1 i k ik N i k k i k ik ii i i i k ik N k i k ik i i k ik N i k k i k ik ii i i i k ik N k i k ik i ii ii ii V V Y B V Q V V Y Q V V Y G V P V V Y P jB G Y AC Power Flow 6 N: The total number of buses in the system. n L : The total number of load buses in the system. n G : The total number of generators buses except the slack. AC Power Flow 7 Q P Q Q P P V V V Jacobian (2n L +n G , 2n L +n G ) State Variables (2n L +n G , 1) Mismatch (2n L +n G , 1) (n L +n G , n L +n G ) (n L , n L +n G ) (n L +n G , n L ) (n L , n L ) AC Power Flow (Newton Raphson Method) 8 Q P J J J J V 22 21 12 11 Jacobian (2n L +n G , 2n L +n G ) State Variables (2n L +n G , 1) Mismatch (2n L +n G , 1) (n L +n G , n L +n G ) (n...
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Rcitation10 - 1 Electric Energy Processing: Fundamentals...

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