# Estudo de estabilidade de sistemas electricos

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Introduction to
Power Flow Analysis Toolbox
Version 1.0a
Revision: February, 2011

Chao Lei
Sichuan Agricultural University

advancedMcode.org

This edition ﬁrst published 2011
Copyright ©2010-2011 by Chao Lei. All Rights Reserved.
Power Flow Analysis Toolbox(M-ﬁles), and the accompanying document Introduction to Power
Flow Analysis Toolbox, are facilitated to practice, educate and research. Itcan not be altered
in any way, or be used as part of other documents without written permission consented by the
author.

Dedicated to my mother, Yurong Wang,
who practiced ingenuity,
and to my friend, Biwei Su,
who raised me up to more than I can be

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Preface and Acknowledgements
This introduction, a partner of Power Flow Analysis Toolbox(PFATB), has beenorganized to take
the power ﬂow analysis combination with MATLAB programming codes in stages. It is written
for whoever might possibly use this toolbox to research power ﬂow analysis. However, the biggest
addition is including the speciﬁc basics of power ﬂows, which is combined to explain programming functions. But I continue to emphasize the programming part of this introduction––it is
written forthe practicing scientist, engineer, and so forth. The reader who wishes to know more
about power ﬂow in more detail is highly recommended to read two publications: Optimization
of Power System Operation by Jizhong Zhu(Wiley & IEEE Press,2009) and Power System Analysis
by Hadi Saadat(McGraw-Hill,2002). I make no claims of this toolbox including latest research on
algorithms applied on power ﬂowproblems; instead, I refer the reader to use these routines to
testify your new thoughts. To be frank, I think all the routines in the toolbox are not best to facilitate in solving power ﬂow problems, but its most biggest feature is to visualize computations in
steps. Because they are remarkably concise and lucid to be applied and then to be revised forward
user’s decisions. I hope readers ﬁnd these auseful start to their own applications and wish them
well in their own forays into using with advanced algorithms such as genetic algorithm, particle
swarm optimization algorithm and so forth to slove economical dispatch and optimal power ﬂow
in large-scale power system.
I am indebted to serval engineers and friends for their kind help. First, my thanks goes to
a Long at Zhejiang University forarising my tremendous interests to implement this toolbox
and making contributions to provide the initial prototype for this toolbox. Without his hardworking eﬀorts, the toolbox would have not been born. Subsequently, I am also deeply grateful
to Principal Engineer Jizhong Zhu at AREVA T&D Incorporation for encouraging me to go on
my job instantly half a year ago. Likewise, the idea for writingthis partner introduction and
the encouragement to write it, I owe to my friend Yuanyuan Jiang at Lancaster University and
Lab Technical Engineer Hong Wen at Sichuan Agricultural University. Additionally, thanks also
for Luigi Giaccari providing me a webpage and a link to my toolbox in the main webpage of
advancedMcode.org. Finally, the excellent reviews by postgraduate Simon Catmull at LoughboroughUniversity in UK were invaluable in the writing of this manuscript.
While acknowledging the help I have received from individuals referred to above, the responsibility for the work is mine alone, so corrections and/or constructive criticisms would be warmly
welcome.

Chao Lei
Chongqing,China
Spring,2011

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Contents
1

INTRODUCTION

1

1.1 An Overview of PFATB1.2 PFATB-Interface

1
2

2

ABOUT AUTHOR

3

3

INSTALLATION

4

4

TOOLBOX DESIGN

5

4.1 Toolbox Design Process
4.2 MATLAB Programming Style

5
6

STANDARD DATA STRUCTURES

7

5.1
5.2
5.3
5.4

7
7
8
9

5

6

Bus Data
Transmission Line Data and Transformer Data
Transmission Line Admittance Data
Transmission Line Flow and Loss Data

13

6.1
6.2
6.3
6.4

7

TOOLBOX FUNCTIONS

13
17
26
26

Data...

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