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EE 1205

EE 1205. Lecture 04 - Wye/Delta & Delta/Wye Conversions. Resistive Wye Circuit. Eqn 1. Resistive Wye Circuit. Eqn 2. Resistive Delta Circuit. Eqn 3. Resistive Delta Circuit. Eqn 4. Delta-Wye Derivation. Use Eqn 4 to solve for delta voltages:. Eqn 5. Simplifying:. Eqn 6.

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EE 1205

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  1. EE 1205 Lecture 04 - Wye/Delta & Delta/Wye Conversions

  2. Resistive Wye Circuit Eqn 1

  3. Resistive Wye Circuit Eqn 2

  4. Resistive Delta Circuit Eqn 3

  5. Resistive Delta Circuit Eqn 4

  6. Delta-Wye Derivation Use Eqn 4 to solve for delta voltages: Eqn 5 Simplifying: Eqn 6

  7. Delta-Wye Derivation Equating the row 1, column 2 term of eqn 2 to the row 1, column 2 term of eqn 6:

  8. Delta-Wye Derivation Equating the row 1, column 1 term of eqn 2 to the row 1, column 1 term of eqn 6: Removing R3:

  9. Delta-Wye Derivation Similarly, it can be shown that:

  10. Wye-Delta Derivation Use Eqn 2 to solve for wye currents: Eqn 15 Simplifying: Eqn 16

  11. Wye-Delta Derivation Equating the row 1, column 2 term of eqn 4 to the row 1, column 2 term of eqn 16: Then Equating the row 1, column 1 term of eqn 4 to the row 1, column 1 term of eqn 16:

  12. Wye-Delta Derivation Removing R3: Similarly, it can be shown that:

  13. Wye/Delta Conversion (1/2) Wye Delta

  14. Wye/Delta Conversion (2/2)

  15. Delta/Wye Conversion

  16. Effects of D-Y & Y-D Conversions • D-Y Conversion eliminates a loop but adds a node. • Y-D Conversion eliminates a node but adds a loop.

  17. Y-D Conversion Example Find Rab Several Methods: We choose to eliminate node c, then simplify.

  18. Y-D Conversion Calculations

  19. New Circuit

  20. Further Simplifications

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