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E E 2315

E E 2315. Lecture 15 Phasor Circuit Analysis, Effective Value and Complex Power: Watts, VAR’s and Volt-Amperes. Effective Value of a Sinusoid (1/2). Average Power:. Effective Value of a Sinusoid (2/2). In our example:. Also:. The effective value is also called the Root Mean

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E E 2315

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  1. E E 2315 Lecture 15 Phasor Circuit Analysis, Effective Value and Complex Power: Watts, VAR’s and Volt-Amperes

  2. Effective Value of a Sinusoid (1/2) Average Power:

  3. Effective Value of a Sinusoid (2/2) In our example: Also: The effective value is also called the Root Mean Square value or rms value.

  4. R-C Circuit Example (1/6) Capacitive Reactance

  5. R-C Circuit Example (2/6) Using rms phasor for voltage source.

  6. R-C Circuit Example (3/6) Calculate Real Power: And Reactive Power: Apparent power is the product of voltage and current of the source. Also:

  7. R-C Circuit Example (4/6) Power Factor is the ratio of real power to apparent power: Power Factor is also the Cosine of the angle between the load voltage and the load current: If the load current leads the load voltage, the power factor is leading; if it lags the load voltage, the power factor is lagging.

  8. R-C Circuit Example (5/6) Phasor Diagram of Voltage and Current Current leads voltage.

  9. R-C Circuit Example (6/6) The Power Triangle showing leading power factor.

  10. Calculating Complex Power (1/2)

  11. Calculating Complex Power (2/2) From now on, we use the above method to calculate complex power.

  12. Lagging Power Factor Example (1/4)

  13. Lagging Power Factor Example (2/4) Calculate complex power directly:

  14. Lagging Power Factor Example (3/4) Power Factor: Power Factor is Lagging Phasor Diagram of Voltage and Current

  15. Lagging Power Factor Example (4/4) Power Triangle for lagging Power Factor

  16. Phasor Power Example (1/4)

  17. Phasor Power Example (2/4)

  18. Phasor Power Example (3/4) Capacitor VAR’s:

  19. Phasor Power Example (4/4)

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