Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel...
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Transcript of Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel...
![Page 1: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/1.jpg)
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Lecture 6:Thevenin and Norton Equivalents,Maximum Power Transfer, &SuperpositionNilsson & Riedel 4.10-4.13
ENG17 (Sec. 2): Circuits I
Spring 2014
April 17, 2014
![Page 2: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/2.jpg)
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Overview
• Thevenin Equivalent• Norton Equivalent• Special Cases• Maximum Power
Transfer• Superposition
![Page 3: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/3.jpg)
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Thevenin Equivalent Circuit
• Independent voltage source in series with resistor• Provides simplified equivalence to more complex circuit
![Page 4: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/4.jpg)
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Finding Thevenin Equivalent
![Page 5: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/5.jpg)
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Overview
• Thevenin Equivalent• Norton Equivalent• Special Cases• Maximum Power
Transfer• Superposition
![Page 6: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/6.jpg)
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Norton Equivalent Circuit
• Independent current source in parallel with resistor• Provides simplified equivalence to more complex circuit• Relates to Thevenin Equivalent (source transformation)
![Page 7: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/7.jpg)
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Finding Norton Equivalent
![Page 8: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/8.jpg)
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Overview
• Thevenin Equivalent• Norton Equivalent• Special Cases• Maximum Power
Transfer• Superposition
![Page 9: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/9.jpg)
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With Dependent Source
![Page 10: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/10.jpg)
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Alternate Method
![Page 11: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/11.jpg)
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Overview
• Thevenin Equivalent• Norton Equivalent• Special Cases• Maximum Power
Transfer• Superposition
![Page 12: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/12.jpg)
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Power Transfer
• Two issues:– Efficiency of Power Transfer– Amount of Power Transfer
![Page 13: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/13.jpg)
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Maximum Power Transfer
![Page 14: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/14.jpg)
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Example
• Find value of RL that results in maximum power transfer.
• Use Thevenin Equivalent circuit.
![Page 15: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/15.jpg)
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Overview
• Thevenin Equivalent• Norton Equivalent• Special Cases• Maximum Power
Transfer• Superposition
![Page 16: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/16.jpg)
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Superposition
• Applies to linear system• Defined: when linear system is excited by >1
independent energy sources, the total response is the sum of individual responses.
• Clarified– Deactivate 1st source, find response from 2nd
source– Deactivate 2nd source, find response from 1st
source– Add these responses
![Page 17: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/17.jpg)
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In practice
• May not help so much right now…
![Page 18: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/18.jpg)
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w/Dependent Sources
![Page 19: Lecture 6: Thevenin and Norton Equivalents, Maximum Power Transfer, & Superposition Nilsson & Riedel 4.10-4.13 ENG17 (Sec. 2): Circuits I Spring 2014 1.](https://reader035.fdocuments.in/reader035/viewer/2022062309/5697bf8a1a28abf838c8a58e/html5/thumbnails/19.jpg)
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Overview
• Thevenin Equivalent• Norton Equivalent• Special Cases• Maximum Power
Transfer• Superposition