Lecture 18 Power in AC Circuits Hung-yi Lee. Outline Textbook: Chapter 7.1 Computing Average Power Maximum Power Transfer for AC circuits Maximum Power.

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Presentation transcript:

Lecture 18 Power in AC Circuits Hung-yi Lee

Outline Textbook: Chapter 7.1 Computing Average Power Maximum Power Transfer for AC circuits Maximum Power Transfer for DC circuits has been discussed in Chapter 3.1

Average Power for AC Circuits

Review: Power for DC Circuits Consumed Power for DC Circuits AB + - reference current should flow from “+” to “-” Negative Communed Power = Supplied Power Resistor with resistance R

Power for AC Circuits Consumed Instantaneous Power If p(t) is periodic with period T Average Power AB + -

Average Power for AC Circuits Network Z

Average Power for AC Circuits Absorb power Supply power

Average Power for AC Circuits Network Z

Average Power for AC Circuits Network Z

Summary

Revisit Maximum Power Transfer

Review: Maximum Power Transfer for DC Circuits Real source Device (Load) power R s is fixed, increase R L Power consumed by R s Power consumed by R L

Maximum Power Transfer for AC Circuits Real source Device (Load) Source Impedance: Find Z L such that the device can obtain maximum power Real source Device (Load)

Real source Device (Load) Maximum Power Transfer for AC Circuits Voltage Source:

Maximum Power Transfer for AC Circuits Find X L and R L that maximize P X L = -X s R L = R s Find Z L that maximize P

Maximum Power Transfer for AC Circuits Only |Z L | can be tuned θ is fixed (R/X is fixed) P L is maximized when Special case: If

Maximum Power Transfer for AC Circuits – Example 1 Determine Z L that maximize the power drawn from the circuit. What is the maximum power?

Maximum Power Transfer for AC Circuits – Example 1 Network Find Z T

Maximum Power Transfer for AC Circuits – Example 1 Network

Maximum Power Transfer for AC Circuits – Example 2 Find R L that can absorb maximum power

Maximum Power Transfer for AC Circuits Real source Device (Load) Power Transfer Efficiency:

Example 7.4 Real source Device (Load) Real source Device (Load) Find Power Transfer Efficiency

Example 7.4 Real source Device (Load)

Homework 7.4, 7.14, 7.20

Thank you!

Answer 7.4: Irms = 5.65mA, 160mW 7.14: R=141Ω, C=0.707μF 7.20: (a) (12-5j)k Ω, 120 μW, 50%; (b) ( j)k Ω, 90 μW, 46%; (c) 13k Ω, 115 μW, 52%

Acknowledgement 感謝吳東運 (b02) 指出投影片中的錯誤