Some ancillaries, including electronic and print components, may not be available to customers outside the United States. No part of this publication may be reproduced or distributed in any form or by any means, or stored in a database or retrieval system, without the prior written consent of The McGraw-Hill Companies, Inc., including, but not limited to, in any network or other electronic storage or transmission, or broadcast for distance learning. Copyright © 2011 by The McGraw-Hill Companies, Inc. POWER ELECTRONICS Published by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, New York, NY 10020. Hart Valparaiso University Valparaiso, Indiana ´ converters: Vo ⫽ ⫺ Vs a Buck-boost and Cuk SEPIC: Vo ⫽ Vs a Rms voltage for a half-wave rectified sine wave: Vrms ⫽ Power factor: pf ⫽Īa Total harmonic distortion: THD ⫽ n⫽2 I1 Distortion factor: DF ⫽ Form factor ⫽īuck converter: Vo ⫽ Vs D Boost converter: Vo ⫽ Rms voltage for a sine wave or a full-wave rectified sine wave: Vrms ⫽ Rms current for an offset triangular wave: Irms ⫽ : Vrms ⫽ 2V 1,2 rms ⫹ V 2,2 rms ⫹ V 3,2 rms ⫹ Á rms current for a triangular wave: Irms ⫽ W 1 1 p(t) dt ⫽ v(t)i(t) dt Average power: P ⫽ ⫽ T T3 T3 Average power for a dc voltage source: Pdc ⫽ Vdc Iavg rms voltage: Vrms ⫽ Commonly used Power and Converter Equations Instantaneous power: p(t) ⫽ v(t)i(t) t2
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