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# Lecture 5 - EEL 5245 Power Electronics I Lecture 5...

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EEL 5245: Power Electronics I Lecture # 5 Non-Isolated Dc-dc Converters School of Electrical Engineering and Computer Science University of Central Florida Insturctor: Dr. Sam Abdel-Rahman

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Mode 1: S on Mode 2: S off CCM Boost Converter Mode 1: Mode 2: Switch and diode voltage stress= Vo

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(from mode 1) (from mode 2) Using the above two equations, or using volt-second balance Voltage gain

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Critical inductor Min & Max inductor current Converter enters DCM when inductor current reaches zero find critical Io? min 2 Li n I II =− max 2 n I =+
o o c c o QD T I DTV V CR V D VR C f ∆= = Use capacitor charge find v c (t)? CCM Boost Output voltage ripple

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0 DT () L Vin it t L = ( ) ( ) LL Vin Vo t D T I D T L =− + DT D 1 T () 0 L = D 1 T T DCM Boost Converter
0 I L T t v L V in ( V o V in ) i L DT i D i c I o I Lmax I o t t I o D 1 T I L (DT) 1 () ( ) 0 Vin DT Vin Vo D D T +− = 1 1 D Vo Vin D D = Using the above two equations, or using volt-second balance L Vin I DT DT L = 11 0 ( ) ( ) LL Vin Vo ID T D D T T L == + from mode 1 from mode 2

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1 1 , 1 I( )( ) () 1 2 I 2 L Davg o DT D D T VinD D D T Vo I RT L ⋅− == = = 1 ( 1 ) 2 Vo R DD DT Vin L =− 1 1 11 1 1 (1 ) (2)

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Lecture 5 - EEL 5245 Power Electronics I Lecture 5...

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