Max Power v2

Max Power v2 - Analysis/Design Technique: Maximum Power...

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Unformatted text preview: Analysis/Design Technique: Maximum Power Transfer DePiero EE 201 Learning ObjecCves •  IdenCfy condiCons for maximum power transfer between a source and load. •  Notes: –  Maximum power transfer is criCcal in some applicaCons, such as wireless communicaCons –  Also important for power distribuCon (PG&E), aided by transformers – covered in AC circuits. Power transferred to Load Varies with Source/Load Resistance •  Consider Cases –  RLOAD  ­> inf PowerLOAD = ? –  RLOAD  ­> zero PowerLOAD = ? Maximum power transfer occurs when RTH = RLOAD Derive CondiCons For Max Power Transfer •  Find the load current •  Maximize power via 1st derivaCve IL = VTH ( RTH + RL ) 2 PL = IL RTH = [VTH ( RTH + RL )]2 RTH € € dPL dRL = 0 d 2 {VTH RL ( RTH + RL ) −2 } = 0 dRL 2 VTH [ RL ( −2)( RTH + RL ) −3 (1) + ( RTH + RL ) −2 (1)] = 0 2 ( RTH + RL ) 3 VTH Multiply both sides € −2 RL + RTH + RL = 0 € € RTH = RL € € € Maximum power transfer occurs when source and load resistance are matched ...
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This note was uploaded on 10/24/2011 for the course EE 251 taught by Professor Arakaki during the Spring '08 term at Cal Poly.

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