`
` DANIELM. MITCHELL
`
`laAE
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`StaNE:
`REGUIATOR
`
`DC =
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`DC
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`Ex.1019
`APPLE INC. / Page 1 of 4
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`DC-DC Switching
`Regulator
`Analysis
`
`Daniel M. Mitchell
`Advanced Technology end Engineering Department
`Collins Defense Cammunications
`
`itingiitaaas=—‘Bie
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`Ex.1019
`APPLEINC./ Page 2 of 4
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`Ex.1019
`APPLE INC. / Page 2 of 4
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`Library of Congress Cutaloging-in-Publication Duta
`
`Mitchell, Duniel M
`DC-DC ewitehing regulator analysis.
`
`1. Electronic apparatus and appliancus—Power
`supply—Direct current.
`1, Title
`
`TKT#63.PebsS 1968=21. aT1h
`ISEN 0.07.042507-3
`
`Copyright¢ LBS6 by McGraw-Hill, Inc. All rights reserved.
`Printed!
`in the United States ofAmerica. Bases on permltee’
`under the United States Copyright Act of 1976, no part ot this
`publication may be reproduced or distributed in any form or
`by any manna, o¢ stored in « data base or retrieval eystern,
`wtheut the prier written permission ofthe publisher.
`128466Tee9 DOC/DOC sez10887
`
`2
`- 3
`ISBN 0-07-042597-3
`- 7-
`
`The editors for this book were Danief A. Gonneca and Lucy Mullins,
`the designer was Noomi Auerbach, and the
`ion
`sapere”
`wus Dianne Waiber. It wos act ix Century Sehoolbook
`by Techne Type, Ine.
`Printed and Sound by RB. Donnelley & Soxs Company.
`
`
`
`Ex.1019
`APPLEINC./ Page 3 of 4
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`Ex.1019
`APPLE INC. / Page 3 of 4
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`3«©OC—-DC_-Swtiching Reguistor Analyse
`
`Figure 3.2 shows a simple PWM controller with a fixed-frequency
`fixed-amplitude sawtooth signal applied to the basic buck converter.
`The width of the PWM ON pulse is the time between the reset of the
`sawtooth generator and the intersection of the error voltage with the
`pasitive-going sawtooth signal, or ramp. If u, is the error voltage am-
`plitude, which is assumed to change slowly with respect to the switch-
`ing frequency, and V, is the sawtooth voltage amplitude, then the duty
`factor can be approximated by the continuous expression
`
`d-—
`
`(3.2)
`.' I
`
`
`
`ad.
`
`c
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`AC, > 1M,
`
` 5
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`vy,
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`24,
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`t
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`Figure 3.2 Simple flxed<requency PWM custreller.
`19 J
`
`Ex.1019
`APPLEINC./ Page 4 of 4
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`Ex.1019
`APPLE INC. / Page 4 of 4
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