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Hart Valparaiso University Valparaiso, Indiana har80679_FM_i-xiv.qxd 12/17/09 12:38 PM Page ii POWER ELECTRONICS Published by McGraw-Hill, a business unit of The McGraw-Hill Companies, Inc., 1221 Avenue of the Americas, New York, NY 10020. : Vrms ⫽ 2V 1,2 rms ⫹ V 2,2 rms ⫹ V 3,2 rms ⫹ Á rms current for a triangular wave: Irms ⫽ Im 13 rms current for an offset triangular wave: Irms ⫽ Im 2 2 b ⫹ I dc B 13 a rms voltage for a sine wave or a full-wave rectified sine wave: Vrms ⫽ Vm 12 har80679_FC.qxd 12/11/09 6:23 PM Page iii rms voltage for a half-wave rectified sine wave: Vrms ⫽ Power factor: pf ⫽ P P ⫽ S Vrms Irms q Aa Total harmonic distortion: THD ⫽ n⫽2 I1 Distortion factor: DF ⫽ Form factor ⫽ Irms Iavg Crest factor ⫽ Ipeak Irms I 2n 1 A 1 ⫹ (THD)2 Buck converter: Vo ⫽ Vs D Boost converter: Vo ⫽ Vs 1⫺D ´ converters: Vo ⫽ ⫺ Vs a Buck-boost and Cuk SEPIC: Vo ⫽ Vs a D b 1⫺D Flyback converter: Vo ⫽ Vs a D N b a 2b 1 ⫺ D N1 Forward converter: Vo ⫽ Vs D a N2 b N1 D b 1⫺D Vm 2 har80679_FM_i-xiv.qxd 12/17/09 12:38 PM Page i Power Electronics Daniel W. Har80679_FC.qxd 12/11/09 6:23 PM Page ii Commonly used Power and Converter Equations Instantaneous power: p(t) ⫽ v(t)i(t) t2 Energy: W ⫽ 3 p(t)dt t1 t0 ⫹T t0 ⫹T t0 t0 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 ⫽ 1 T 2 v (t)dt BT3 0 rms for v ⫽ v1 ⫹ v2 ⫹ v3 ⫹.

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