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Ju - Stochastic Dynamics of Power Systems

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Ju Stochastic Dynamics of Power Systems
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Power Systems

More information about this series at http://www.springer.com/series/4622

Ping Ju
Stochastic Dynamics of Power Systems
Stochastic Dynamics of Power Systems - image 2
Ping Ju
College of Energy and Electrical Engineering, Hohai University, Nanjing, China
ISSN 1612-1287 e-ISSN 1860-4676
Power Systems
ISBN 978-981-13-1815-3 e-ISBN 978-981-13-1816-0
https://doi.org/10.1007/978-981-13-1816-0
Library of Congress Control Number: 2018949865
Springer Nature Singapore Pte Ltd. 2019
This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed.
The use of general descriptive names, registered names, trademarks, service marks, 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.
The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This Springer imprint is published by the registered company Springer Nature Singapore Pte Ltd.

The registered company address is: 152 Beach Road, #21-01/04 Gateway East, Singapore 189721, Singapore

Preface

Stochastic factors, widely existing in nature, engineering, and social systems, are also found in the power system. The renewable energy generation, electric vehicles, and power electronic devices are integrated into power grids at high proportion. As a result, the power system dynamics are facing increasingly significant influences of stochastic factors. In the seventies of the last century, the consideration of stochastic elements emerged in researches on the power system. However, these researches focused more on steady-state stochastic issues, leaving dynamic ones being definitive. As stochastic factors increasingly pile up, researches on dynamic issues under stochastic disturbances are becoming necessary.

Therefore, the writer wrote this book on the basis of study results in power system stochastic dynamics achieved in recent years. This book consists of seven chapters in total. Chapter set forth the model simulation, stability, dynamic oscillation, dynamic security, and optimal control of the power system stochastic dynamics.

Chapters assemble the research results of our team. Great thanks to my team members, YU Yiping, ZHOU Haiqiang, SUN Lixia, WU Feng and WANG Chong et al., who contributed so much in researches and compilation of this book. They deserve to be entitled as authors of it. Meanwhile, many thanks also to graduate students LIU Yongfei, LI Hongyu, LIN Xue, ZHANG Jianyong et al., who participated in partial researches. I would like to express my special appreciation to Mr. ZHU Weiqiu, Academician of Chinese Academy of Science in Zhejiang University, for his kind guidance on relevant researches of our team, and his permission that we refer to the book Introduction to Stochastic Dynamics authored by him. Our researches were funded and supported by National Program on Key Basic Research Project (973 Program) Subject (2013CB228204), Key Program of National Natural Science Foundation of China (No. 51137002), Major Program Subject of National Natural Science Foundation of China (No. 51190102), Key Research Program Jiangsu Natural Science Foundation (No. BK2011026), etc. The author would also thank the 111 project of Renewable Energy and Smart Grid (B14022), and the State Grid Corporation of China together with its affiliate power grids, and provincial power grid corporations who provided us with application opportunities, especially Henan, Zhejiang and Jiangsu power grids. Researchers in this book also benefited from many experts and Hohai university. Here, I would like to express my true gratitude for all of you!

Please do not hesitate to let me know if any content in need of improvement attributed to the authors limited theory level and lack in practical experiences in this book. Feedbacks from all my readers will be highly appreciated! (e-mail: pju@hhu.edu.cn).

Ping Ju
Nanjing, China
May 2018
Contents
Springer Nature Singapore Pte Ltd. 2019
Ping Ju Stochastic Dynamics of Power Systems Power Systems https://doi.org/10.1007/978-981-13-1816-0_1
1. Introduction
Ping Ju
(1)
College of Energy and Electrical Engineering, Hohai University, Nanjing, China
Ping Ju
Email:
Abstract

The stochastic dynamics of power system is a new field that requires a top-down design. In this chapter, a research framework is constructed for that purpose, based on the analysis of the background, transformations, and stochastic properties of power systems. Proposals for the research are provided by focusing on issues with the dynamics of power systems subjected to stochastic factors, including the stochastic dynamics model and the stochastic features of power systems (e.g., dynamic response, stability, security, and optimal control).

1.1 Background of the Stochastic Dynamics of Power System

Probabilistic and statistical methods are adopted in stochastic dynamics to study various stochastic dynamic processes and phenomena in nature, engineering and social systems []. Stochastic dynamics originated from the quantitative description of the Brownian motion proposed by Einstein and others in the early twentieth century. During the 1940s and 1960s, the stochastic noise theory, stochastic vibration, and stochastic structural dynamics had been developed one after another. Since 1960, mathematicians have been developing the theory of stochastic stability and stochastic optimal control, which was used in economic and financial fields. Since 1980, stochastic dynamical system theories, such as the stochastic bifurcation theory, have been developed. One might say that by 1970 the stochastic dynamics theory of linear systems had grown to maturity. Stochastic dynamic theories of nonlinear systems have provided numerous methodologies, but many challenges still remain to be resolved.

Randomness always exists in power systems. However, because it had not yet become such an important factor in the operational security of power systems and the theoretical methods as well as the computational speeds were insufficient, traditional power system studies remained mostly deterministic. Among which, the study of deterministic power system dynamics has achieved considerable results, mainly including power system dynamic modeling [], etc.

Following the increasing integration of renewable energy and electric vehicles [], the stochastic issue will gradually become a prominent, communal and fundamental one for power dynamics in the future. But, the traditional power system dynamics theory, based on deterministic models, has obvious limitations, since it fails to consider the influence of stochastic factors on the dynamic characteristics of power systems. Therefore, it is crucial and urgent to carry out research in the stochastic dynamics of power systems.

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