`
`PowerElectronics Ex.1017
`
`APPLEINC./ Page 1 of 4
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`Ex.1017
`APPLE INC. / Page 1 of 4
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`
`
`Fundamentals of
`PowerElectronics
`
`Robert W. Erickson
`University of Colorado
`Boulder, CO
`
`Thiatwei
`
`TraA"Z£ERLESE
`
`CHAPMAN & HALL
`
`KTP International Thomson Publishing
`
`New York © Albary © Born * Boston © Cincinnuat * Detroit * London © Madkid © Welbourne
`Metsco City © Pacific Gove © Paris © San Francis© Singapree © Tokvo© Tarceto © Washongion
`
`
`
`Ex.1017
`APPLEINC./ Page 2 of 4
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`Ex.1017
`APPLE INC. / Page 2 of 4
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`
`
`Cover desgrr Carolyn Walsitis
`
`Copyright © 1997 by Chapman & Mall
`
`Printed in the United States of America
`
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`123456789 10 XXX 01 © 9 98 97
`
`Library of Congress Catalogingin-Publication Data
`
`Erickson, Robert W. (Robert Warren),
`eS ae aeee
`pincludesfBibbographical references and index.
`
`BBN 0412065410 (alk paper)
`LPower electronics.
`L Title
`TRKTSSL I ETS)
`«1997
`621317-<ic)
`
`96-38347 a
`
`British Library Cataloguing in Publication Data available
`
`sechnically accurate and authoritative
`"Fudamentals of Power Electronics’ = imended 10
`editors, advisers, and contributors have
`information from highly regared sources. The pu
`made every reasonable
`effort to ensure the accuracy of the information, but cannot assume
`responsibility for the accuracyof all information, or for the consequences ofits \use.
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`x.1017
`APPLEINC./ Page 3 of 4
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`Ex.1017
`APPLE INC. / Page 3 of 4
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`
`
`iM
`
`The Discowinwows Conduction Mode
`
`Thus, we have two unknowns, V and D,, and we have two equations. The first equation, Eq. (3.19),
`was obtained by inductor volt-second balance. while the second equation, Eq. (5.27), was obtained
`using capacitor charge balance. Elimination of D, from the two equations, and solution for the voltage
`conversion ratio M(D,, K)= V/V,, yields
`
`TF eiecniial
`
`V,
`
`a4 aftee: aK
`
`!
`
`(5.28)
`
`where
`
`K=2L/RT,
`
`This is the solution of the buck converter operating in discontinuous conduction mode.
`The complete buck converter characteristics, including both continuous and discontinuous conduc-
`tion modes, are therefore
`
`D
`
`for K > K..
`
`M*
`
`i *y 1+
`
`\
`
`(5.29)
`
`where the transistor duty cycle D is identical to the subinterval | duty cycle D, of the above derivation.
`These characteristics are plotted in Fig. 5.11, for several values of X, It can be seen that the effect
`
`06
`
`0.2 0.0
`
`O04
`
`0.0
`
`0.2 :
`
`O.4
`
`0.6
`
`0.8
`
`1.0
`
`D
`
`Fig. $.11 Voltage conversion ratio M(D. XK). buck converter,
`
`Ex.1017
`APPLEINC./ Page 4 of 4
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`Ex.1017
`APPLE INC. / Page 4 of 4
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`
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