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L34 / Power-flow analysis

Power Flow III

Form polar power equations, choose the state, calculate mismatches, and apply a stopping tolerance.

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This lecture's concept outline

L34

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Original slide headings31
  1. 1Lecture outline
  2. 2Starting problem
  3. 3Current from a voltage state
  4. 4Complex power at a bus
  5. 5Combining current and power
  6. 6Polar notation
  7. 7Expanding one coupling term
  8. 8Real-power injection
  9. 9Reactive-power injection
  10. 10Angle difference and real power
  11. 11Active equations by bus type
  12. 12State and equation counts
  13. 13The three-bus state
  14. 14Mismatch convention
  15. 15PV reactive power
  16. 16Residual norm
  17. 17Example: complete input record
  18. 18Example: initial voltage state
  19. 19Example: calculation workflow
  20. 20Example: bus-3 current
  21. 21Example: bus-3 power
  22. 22Example: bus-3 mismatch
  23. 23Example: bus-2 power
  24. 24Example: PV-bus mismatch
  25. 25Example: complete mismatch
  26. 26Example: stopping test
  27. 27Tolerance in physical units
  28. 28Stored values and display rounding
  29. 29Practice: mismatch and stopping
  30. 30Practice: mismatch answer
  31. 31Summary
Slide source

L34_power_flow_iii/L34_power_flow_iii.pdf

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EXPLORE

Experiment workspace

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Experiment direction for this lecture

Change a trial voltage state and inspect real/reactive mismatches and the residual norm.

Change inputsObserve resultsExplain changes

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COMPUTE

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Input dataPythonValidation

CHECK

Practice & checks

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