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L35 / Power-flow analysis

Power Flow IV

Run Gauss–Seidel PQ and PV updates, restore PV magnitude, and check reactive-power capability.

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This lecture's concept outline

L35

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Original slide headings33
  1. 1Lecture outline
  2. 2Starting problem
  3. 3The PQ-bus equation
  4. 4Isolating the diagonal term
  5. 5The indexed PQ update
  6. 6Bus order within a sweep
  7. 7PV-bus update
  8. 8PV magnitude projection
  9. 9Example: PQ then PV
  10. 10Example: declared procedure
  11. 11Example: network matrix
  12. 12Example: initial mismatch
  13. 13Example: first-sweep workflow
  14. 14Step 1: PQ power term
  15. 15Step 1: neighbor subtotal
  16. 16Step 1: new PQ voltage
  17. 17Step 2: required PV reactive power
  18. 18Step 2: capability check
  19. 19Step 3: provisional PV voltage
  20. 20Step 3: restored PV magnitude
  21. 21Step 4: completed-sweep mismatch
  22. 22Step 4: progress toward balance
  23. 23Example: convergence history
  24. 24Example: convergence curve
  25. 25Example: converged voltages
  26. 26Example: final reactive capability
  27. 27Optional: relaxation factor
  28. 28Practice: stale neighbor voltage
  29. 29Practice: stale-value answer
  30. 30Practice: tighter reactive limit
  31. 31Practice: limit-enforcement answer
  32. 32Common update errors
  33. 33Summary
Slide source

L35_power_flow_iv/L35_power_flow_iv.pdf

This lecture is to be released; its original slide outline is retained.

EXPLORE

Experiment workspace

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Experiment direction for this lecture

Step through an ordered sweep and compare voltage updates, residuals, and PV reactive limits.

Change inputsObserve resultsExplain changes

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COMPUTE

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CHECK

Practice & checks

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