Machine models as a prerequisite to design the controllers and observers
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Nguyen Phung Quang · Jörg-Andreas Dittrich
Vector Control of Three-Phase AC Machines System Development in the Practice With 230 Figures
Prof. Dr. Nguyen Phung Quang
Dr. Jörg-Andreas Dittrich
Hanoi University of Technology Department of Automatic Control 01 Dai Co Viet Road Hanoi Vietnam [email protected]
Neeserweg 31 8048 Zürich Switzerland [email protected]
ISBN: 978-3-540-79028-0
e-ISBN: 978-3-540-79029-7
Power Systems ISSN: 1612-1287 Library of Congress Control Number: 2008925606 This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable for prosecution under the German Copyright Law. The use of general descriptive names, registered names, trademarks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. Cover design: deblik, Berlin Printed on acid-free paper 987654321 springer.com
Dedicated to my parents, my wife and my son Nguyen Phung Quang
To my mother in grateful memory Jörg-Andreas Dittrich
Formula symbols and abbreviations
A B C dq E E I, E R eN f fp, fr, fs G Gfe H, h h iȝ im imd, imq iN, iT, iF is, ir isd, isq, ird, irq isĮ, isȕ isu, isv, isw J K Lf g Lm, Lr, Ls Lsd, Lsq Lır, Lıs mM, mG N pCu pv pv,fe, pFe
System matrix Input matrix Output matrix Field synchronous or rotor flux orientated coordinate system Sensitivity function Imaginary, real part of the sensitivity function Vector of grid voltage General analytical vector function Pulse, rotor, stator frequency Transfer function Iron loss conductance Input matrix, input vector of discrete system General analytical vector function Vector of magnetizing current running through Lm Vector of magnetizing current dq components of the magnetizing current Vectors of grid, transformer and filter current Vector of stator, rotor current dq components of the stator, rotor current Įȕ components of the stator current Stator current of phases u, v, w Torque of inertia Feedback matrix, state feedback matrix Lie derivation of the scalar function g(x) along the trajectory f(x) Mutual, rotor, stator inductance d axis, q axis inductance Rotor-side, stator-side leakage inductance Motor torque, generator torque Nonlinear coupling matrix Copper loss Total loss Iron loss
VIII
Formula symbols and abbreviations
RI, RIN RF, RD Rfe Rr, Rs RZ r r s S s T Tp Tr, Ts Tsd, Tsq tD ton, toff tr t u , t v, t w u u0, u1, … , u7 UDC uN us, ur usd, usq, urd, urq usĮ, usȕ V w x xw z zp Zs Įȕ Ɏ Zȝ
Two-dimensional current controller Filter resista
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