34 from Ch 07 Max Power Transfer

34 from Ch 07 Max Power Transfer - Making sense of EE / 2nd...

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Our simple circuit models for independent voltage and current sources are not good enough: each of them implies that any source can supply infinite power, which is certainly not true. Also, current sources and voltage sources seem to be worlds apart. Better models for independent sources include source resistances: in series with a voltage source, and in parallel to a current source. These models limit the power that can be transferred to the load, and lead to the concept of equivalent sources which can be swapped without any effect on the load. A more general idea is to replace an entire circuit with a single source and a resistor: the Thevenin equivalent circuit, which includes a voltage source V T with its resistance R T in series; or the Norton equivalent circuit, which includes a current source I N with its resistance R T in parallel. The Thevenin and Norton circuits are equivalent to each other if their source resistances R T are the same, and V T = R T I N As a result of this analysis, the maximal power is transferred to the load when the load resistance equals the source resistance R T , and that maximal power equals P MAX = V T ( ) 2 4 " R T = I N ( ) 2 4 " R T These ideas apply to any circuit containing linear elements such as sources and resistors. The circuit supplying power can be as simple as a single battery – or as complicated as your audio amplifier or an entire power plant. In this Chapter you will learn the strategies to calculate the equivalent parameters V T , R T , and I N for the given circuit. Making sense of EE // 2nd edition Max Power Transfer © 2008 A. Ganago Page 1 of 22
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Making sense of EE // 2nd edition Max Power Transfer © 2008 A. Ganago Page 5 of 22
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Making sense of EE // 2nd edition Max Power Transfer © 2008 A. Ganago Page 15 of 22
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© 2008 A. Ganago Thevenin and Norton Equivalent Circuits The powerful idea of equivalent sources can be extended: a whole circuit can be replaced with the equivalent source and resistance. The Thevenin equivalent circuit includes voltage source
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This note was uploaded on 12/06/2010 for the course EECS 314 taught by Professor Ganago during the Spring '07 term at University of Michigan.

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34 from Ch 07 Max Power Transfer - Making sense of EE / 2nd...

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