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Instantaneous Power

Instantaneous Power. Reference for t = 0. Call t = 0 when the current is passing through a positive maximum. Re-write the equations as. Re-writing. p is at twice the frequency of v and i. p is negative over part of the cycle, even though the elements are passive. Average and Reactive Power.

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Instantaneous Power

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  1. Instantaneous Power ECE 201 Circuit Theory I

  2. Reference for t = 0 • Call t = 0 when the current is passing through a positive maximum. • Re-write the equations as ECE 201 Circuit Theory I

  3. Re-writing ECE 201 Circuit Theory I

  4. ECE 201 Circuit Theory I

  5. ECE 201 Circuit Theory I

  6. p is at twice the frequency of v and i p is negative over part of the cycle, even though the elements are passive ECE 201 Circuit Theory I

  7. Average and Reactive Power Average, or Real Power Reactive Power ECE 201 Circuit Theory I

  8. Power for Purely Resistive Circuits • For a purely resistive circuit, the voltage and current are in phase. ECE 201 Circuit Theory I

  9. Plot of the instantaneous Real Power ECE 201 Circuit Theory I

  10. Power for Purely Inductive Circuits • Voltage and Current are out of phase by 90°. • The current lags the voltage by 90°. ECE 201 Circuit Theory I

  11. Plot of Reactive Power (vars) ECE 201 Circuit Theory I

  12. Power for Purely Capacitive Circuits • Voltage and Current out of phase by 90° • The current leads the voltage by 90°. ECE 201 Circuit Theory I

  13. Plot of Reactive Power (vars) ECE 201 Circuit Theory I

  14. Power Factor • Power factor angle • Power factor • Reactive factor ECE 201 Circuit Theory I

  15. Power Factor (continued) • Lagging power factor • Current Lags the Voltage • Inductive Load • Leading power factor • Current Leads the Voltage • Capacitive Load ECE 201 Circuit Theory I

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