EEE471Ch6-2

# EEE471Ch6-2 - POWER FLOW Chapter 6-2 1 2 POWER FLOW CASES...

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1 POWER FLOW Chapter 6-2

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3 POWER FLOW CASES Power flow cases are designated as: Base case: All facilities in service and normal loading Operating case or contingency case: Cases with lines, generators or transformers out. Cases with variations in load and generation schedules. Typical case studies to determine: How generated power would flow to the loads If voltages will be within tolerances If additional var sources or var absorption will be required If any facilities will be overloaded

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4 POWER FLOW PROGRAM A power flow program determines the voltage magnitude and angle at every bus in the system. Knowing these all other quantities of interest can be found E k P G Q G P L Q L Z 1 Z 2 E 1 E 2 I 1 P1 Q 1 Z E E I K 1 1 - = then * 1 1 1 1 I E S jQ P K = = + Etc. for all other branches
5 POWER FLOW PROGRAM Linear method could be used for the solution if: generators were voltage sources loads were constant impedance This is not the case: generators are power sources (real and reactive) loads are constant P and constant Q Therefore the system equations are non-linear and the power flow problem is solved by an iterative technique . The 2 most common techniques are: Gauss-Seidel Newton- Raphson Newton-Raphson is the most common but we will briefly investigate Gauss-Seidel because it is easier to understand.

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6 POWER FLOW PROGRAM E k P G P G Y 1 Y 2 E 1 E 2 P1 Y 0 . K ( 29 ( 29 ( 29 N N K K K K k K K Y E E Y E E Y E E Y E E jQ P - - + - + - = - ... ) 0 ( 2 2 1 1 0 *
7 E k P G P G Y 1 Y 2 E 1 E 2 P1 Y 0 . ( 29 ( 29 ( 29 N N K K K K k K K Y E E Y E E Y E E Y E E jQ P - - + - + - = - ... ) 0 ( 2 2 1 1 0 * ( 29 N N N K k K K Y E Y E Y E Y Y Y Y E E jQ P ... ... 2

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EEE471Ch6-2 - POWER FLOW Chapter 6-2 1 2 POWER FLOW CASES...

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