Circuits lecture 9 thevenin and norton theorem 2
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Circuits Lecture 9: Thevenin and Norton Theorem (2). 李宏毅 Hung- yi Lee. Review - Thevenin and Norton Theorem. Two Terminal Network. Thevenin Theorem. Norton Theorem. Review - Thevenin and Norton Theorem. Two Terminal Network. Two Terminal Network. =.

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Circuits Lecture 9: Thevenin and Norton Theorem (2)

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Circuits lecture 9 thevenin and norton theorem 2

Circuits Lecture 9: Thevenin and Norton Theorem (2)

李宏毅 Hung-yi Lee


Review thevenin and norton theorem

Review - Thevenin and Norton Theorem

Two

Terminal

Network

Thevenin

Theorem

Norton

Theorem


Review thevenin and norton theorem1

Review - Thevenin and Norton Theorem

Two

Terminal

Network

Two

Terminal

Network

=

The same concept is applied on isc.


Review thevenin and norton theorem2

Review - Thevenin and Norton Theorem

suppress

Two

Terminal

Network

Two

Terminal

Network

Two

Terminal

Network

suppress

suppress


Review thevenin and norton theorem3

Review - Thevenin and Norton Theorem

Find voc

Find isc

Two

Terminal

Network

Two

Terminal

Network

Is it correct?


Outline

Outline

  • Maximum Power Transfer

    • Chapter 3.1

    • Application of Thevenin Theorem


Review power

Review: Power

Negative Communed Power

= Supplied Power

  • ConsumedPower

  • Suppied Power

-

+

reference current should flow from “+” to “-”

B

B

A

A

-

+

reference current should flow from “-” to “+”


Ideal sources

Ideal Sources

  • Larger power

  • i-v curse

Ideal sources can supply unlimited power.

  • i-v curse

  • Larger power


Real source

Real Source

  • Real voltage sources cannot supply unlimited power

Real voltage source =

Ideal voltage source + resistor

i-v characters

for real voltage source


Real source1

Real Source

  • Real current sources cannot supply unlimited power

Real current source =

Ideal current source || resistor

i-v characters

for real current source


Maximum power transfer

Maximum power transfer

power

Device (Load)

Power consumed by Rs

Real source

Power consumed by RL

Rs is fixed, increase RL


Maximum power transfer1

Maximum power transfer

Maximum power transfer to (consumed by) a load resistance requires RL = Rs:

(Only 25%)

Power consumed by RL


Maximum power transfer2

Maximum power transfer

RL is a variable

Find RL which maximizes PL

When dPL/dRL=0,

PLis maximum

dPL/dRL=0, when Rs=RL


Power transfer efficiency

Power-transfer efficiency

Eff=50%


Maximum power transfer3

Maximum power transfer

When RL= Rs

When RL= Rs


Maximum power transfer4

Maximum power transfer

Audio Amplifier

Signals from

Sound Card

Find a speaker that can gain sufficientpower

http://ming-shian.blogspot.tw/2013/05/radio-tear-down.html


Maximum power transfer5

Maximum power transfer

Difficult to compute the power

Input audio signal

Audio Amplifier

http://angelfire.com/ab3/mjramp/index.html

Thevenin Theorem


Maximum power transfer6

Maximum power transfer

Sound Card + Audio Amplifier

(speaker)

Power consumed by RL


Application of thevenin

Application of Thevenin

  • Which value of R can absorb maximum power? Find the power.

+

-

+

-

+

-

pRis maximum when dpR/dR=0


Application of thevenin1

Application of Thevenin

  • Which value of R can absorb maximum power? Find the power.

+

-

+

-

+

-

Have to find voc


Application of thevenin2

Application of Thevenin

  • Find voc

+

voc

-

+

-

+

-

+

-


Application of thevenin3

Application of Thevenin

  • Use Thevenin Theorem several times

+

-

+

-

+

-

+

-

+

-

+

-


Application of thevenin4

Application of Thevenin

  • Use Thevenin Theorem several times

+

-

+

-

+

-

+

-


Application of thevenin5

Application of Thevenin

  • Use Thevenin Theorem several times

+

-

+

-

+

-

+

-

+

-


Application of thevenin6

Application of Thevenin

  • Use Thevenin Theorem several times

+

-


Remind exercise 3 3

Remind – Exercise 3.3

  • What value of RL should be used to obtain the maximum available power?


Homework

Homework

  • 1ST ORDER DIFFERENTIABLE EQUATIONS

    • https://www.youtube.com/watch?v=2s9z1zLOAJY

  • 2nd ORDER DIFFERENTIABLE EQUATIONS

    • https://www.khanacademy.org/math/differential-equations/second-order-differential-equations/linear-homogeneous-2nd-order/v/2nd-order-linear-homogeneous-differential-equations-1


Thank you

Thank you!


Appendix non linear elements

Appendix – Non-linear Elements


Non linear elements

Non-linear Elements

(http://www-inst.eecs.berkeley.edu/~ee42/sp03/LectNotes/42_05_6.pdf)


Non linear elements1

Non-linear Elements


Non linear elements2

Non-linear Elements

Which operating regions?


Non linear elements3

Non-linear Elements


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