Cost/Benefits Analysis of the Optimal Power Flow

In order to acquire an optimal power flow (OPF) for a utility control center, it is usually necessary to justify the OPF to the utility management, especially during these difficult financial times. An example is presented of an accurate simulation of the

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Optimization in Planning and Operation of Electric Power Systems Lecture Notes of the SVOR/ASRO Tutorial Thun, Switzerland, October 14-16, 1992

Karl Frauendorfer . Hans Glavitsch Rainer Bacher (Eds.)

Optimization in Planning and Operation of Electric Power Systems Lecture Notes of the SVORIASRO Tutorial Thun, Switzerland, October 14-16, 1992

With 57 Figures

Springer-Verlag Berlin Heidelberg GmbH

PD Dr. Karl Frauendorfer Institute for Operations Research University of St. Gallen for Business Administration, Economics, Law and Social Sciences Bodanstr. 6 CH-9000 St. Gallen Switzerland Prof. Dr. Hans Glavitsch Dr. Rainer Bacher Institute of Electric Power Transmission and High Voltage Technology ETH-Zentrum CH-8092 Zurich Switzerland

ISBN 978-3-7908-0718-9 ISBN 978-3-662-12646-2 (eBook) DOI 10.1007/978-3-662-12646-2

This work is subject to copyright. Ali rights are reserved, whether the whole or part ofthe material is concerned, specifi· cally the rightsoftranslation, reprinting, reuse ofillustrations, recitation, broadcasting, reproduction on microfilms or in other ways, and storage in data banks. Duplication ofthis publication or parts thereofis only permitted under the provisi· ons ofthe German Copyright Law ofSeptember 9, 1965, in its version of June 24, 1985, and a copyright fee must always be paid. Violations fali under the prosecution act ofthe German Copyright Law. © Springer-Verlag Berlin Heidelberg 1993 Originally published by Physica-Verlag Heidelberg in 1993 The use ofregistered 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. 8817130-543210- Printed on acid-free paper

PREFACE Permanently increasing requirements in power supply necessitate efficient control of electric power systems. An emerging subject of importance is optimization which has been the challenging principal theme of a tutorial on "Optimization in Planning and Operation of Electric Power Systems" held in Thun (Switzerland) in October 1992. This tutorial was organized by the Swiss Association of Operations Research (SVOR) in collaboration with the Power Engineering Society (PES) as member of the Swiss Institute of Electrical Engineers (SEV). The objective of the tutorial has not been only to present the state-of-the-art of mathematical programming and power system control but also to promote the exchange of experience between the specialist of the respective disciplines. Lectures on modelling aspects of unit commitment and optimal power flow have provided the introduction to power systems control and to its associated problem statement. Due to the nature of the underlying optimization problems recent developments in advanced and well-established mathematical programming methodologies have been presented, illustrating in which way dynamic, separable, continuous and stochastic features might be exploited. In completing the various methodologies a number of presentation