Max Power v2

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

This preview shows page 1. Sign up to view the full content.

This is the end of the preview. Sign up to access the rest of the document.

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 ...
View Full Document

## 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.

Ask a homework question - tutors are online