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L28 / Transmission-line models

Transmission-Line Models III

Derive distributed long-line equations, propagation constants, and terminal relationships.

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This lecture's concept outline

L28

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Original slide headings29
  1. 1Lecture outline
  2. 2Starting problem
  3. 3Spatial coordinate
  4. 4Segment KVL
  5. 5Segment KCL
  6. 6Coupled first-order equations
  7. 7Propagation constant
  8. 8Characteristic impedance
  9. 9General spatial solution
  10. 10Apply receiving-end conditions
  11. 11Exact ABCD constants
  12. 12Shared physical data
  13. 13Exact equivalent-π
  14. 14Surge-impedance loading
  15. 15Example setup
  16. 16Example: solution route
  17. 17Example: total line data
  18. 18Example: propagation and impedance
  19. 19Example: exact ABCD constants
  20. 20Example: exact sending quantities
  21. 21Example: equivalent-pi parameters
  22. 22Example: nominal-pi solution
  23. 23Example: short-line solution
  24. 24Example: output comparison
  25. 25Model selection
  26. 26Practice: model and calculation
  27. 27Practice: solution
  28. 28Summary
  29. 29Closing check
Slide source

L28_transmission_line_models_iii/L28_transmission_line_models_iii.pdf

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EXPLORE

Experiment workspace

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Experiment direction for this lecture

Explore line length and loading while comparing distributed and lumped models.

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COMPUTE

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From slide equations to reproducible calculations

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Input dataPythonValidation

CHECK

Practice & checks

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