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Instantaneous power:
Energy:
Average power:
Average power for a dc voltage source:
rms voltage:
rms for v � v1 � v2 � v3 � . . . :
rms current for a triangular wave:
rms current for an offset triangular wave:
rms voltage for a sine wave or a full-wave rectified sine wave: Vrms �Vm12
Irms � B aIm13b2
� I 2dc
Irms �Im13
Vrms �2V
21, rms �V
22, rms �V
23, rms � Á
Vrms � B1
T3T
0
v2(t)dt
Pdc � Vdc Iavg
P �W
T�
1
T 3t0�T
t0
p(t) dt �1
T 3t0�T
t0
v(t)i(t) dt
W � 3t2
t1
p(t)dt
p(t) � v(t)i(t)
Commonly used Powerand Converter Equations
rms voltage for a half-wave rectified sine wave:
Power factor:
Total harmonic distortion:
Distortion factor:
Buck converter:
Boost converter:
Buck-boost and Cuk converters:
SEPIC:
Flyback converter:
Forward converter: Vo � VsD aN2
N1b
Vo � Vs a D
1 � Db aN2
N1b
Vo � Vs a D
1 � Db
Vo � �Vs a D
1 � Db
Vo �Vs
1 � D
Vo � Vs D
Crest factor �Ipeak
Irms
Form factor �Irms
Iavg
DF �A1
1 � (THD)2
THD �Aa
q
n�2
I 2n
I1
pf �P
S�
P
Vrms Irms
Vrms �Vm
2