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Series Editors’ Foreword
Preface
Contents
1 Introduction
References
2 Control and Modeling of Microgrids
2.1 Control of AC Microgrids
2.1.1 Control Objectives in AC Microgrids
2.1.2 Primary Control Techniques in AC Microgrids
2.1.3 Secondary Control
2.1.4 Tertiary Control
2.2 Dynamic Modeling of AC Microgrids
2.2.1 Voltage-Controlled Voltage Source Inverters
2.2.2 Current-Controlled Voltage Source Inverters
2.3 Control of DC Microgrids
2.3.1 Control Objectives
2.3.2 Standard Control Technique
References
3 Introduction to Multi-agent Cooperative Control
3.1 Synchronization in Nature, Social Systems, and Coupled Oscillators
3.1.1 Synchronization in Animal Motion in Collective Groups
3.1.1.1 Distributed Local Neighborhood Protocols for Synchronization
Reynolds’ Rules [9]
3.1.2 Leadership in Animal Groups on the Move
3.1.3 Synchronization in Coupled Oscillators and Electric Power Systems
3.2 Communication Graphs for Interconnected Systems
3.2.1 Graph Matrices–Algebraic Graph Theory
3.3 Cooperative Control of Multi-agent Systems on Communication Graphs
3.3.1 Consensus and the Cooperative Regulator Problem
3.3.2 Synchronization and the Cooperative Tracker Problem
3.3.3 More General Agent Dynamics and Vector States
3.3.3.1 Vector States
3.3.3.2 General State Variable Agent Dynamics
3.4 Time-Varying Edge Weights and Switched Graphs
References
4 Distributed Control of AC Microgrids
4.1 Distributed Secondary Frequency Control
4.2 Distributed Secondary Frequency and Power Control
4.2.1 Distributed Cooperative Control Protocol for Frequency and Active Power Sharing
4.2.2 Case Studies
4.3 Distributed Secondary Voltage Control of AC Microgrids
4.3.1 Secondary Voltage Control Objectives
4.3.2 Distributed Secondary Voltage Control Using Feedback Linearization
4.3.3 Case Studies
4.4 Distributed Secondary Voltage and Reactive Power Control of AC Microgrids
References
5 Multi-objective and Adaptive Distributed Control of AC Microgrids
5.1 Multi-objective and Two-Layer Control Framework for AC Microgrids
5.1.1 Control Layer 1: Frequency Control and Voltage Control of VCVSIs
5.1.2 Control Layer 2: Active and Reactive Power Controls of CCVSIs
5.1.3 Case Studies
5.2 Adaptive and Distributed Voltage Control for AC Microgrids
5.2.1 The Adaptive and Distributed Controller Design
5.2.2 Case Studies
6 Droop-Free Distributed Control of AC Microgrids
6.1 Droop-Free Cooperative Control Framework
6.1.1 Microgrid as a Cyber-Physical System
6.1.2 Cooperative Control Policy
6.1.3 Voltage Estimation Policy
6.2 System-Level Modeling
6.2.1 Distribution Network Model
6.2.2 Dynamic Model of the Control and Cyber Subsystems
6.2.3 Dynamic Model of the Entire Microgrid
6.2.4 Controller Design Guideline
6.2.5 Steady-State Performance Analysis
6.3 Experimental Verification
6.3.1 Performance Assessment
6.3.2 Communication Delay and Channel Bandwidth
6.3.3 Plug-and-Play Study
6.3.4 Failure Resiliency in Cyber Domain
6.4 Summary
Appendix
References
7 Cooperative Control for DC Microgrids
7.1 Distributed Cooperative Controller for DC Microgrids
7.1.1 Graphical Representation of DC Microgrids
7.1.2 Cooperative Secondary Control Framework
7.1.3 Voltage Observer
7.1.3.1 Dynamic Consensus Algorithm
7.1.3.2 Noise Cancelation Module
7.2 Analytical Model Development for DC Microgrids
7.2.1 Global Dynamic Model
7.2.2 Guidelines for Controller Design
7.2.3 Steady-State Analysis
7.3 Distributed Adaptive Droop Control for DC Microgrids: An Alternative Solution
7.4 Experimental Performance Evaluation
7.4.1 Design Procedure
7.4.2 Droop Controller Versus Cooperative Controller
7.4.3 Load Change Performance Assessment
7.4.4 Plug-and-Play Capability
7.4.5 Cyber-Link Failure Resiliency
7.5 Summary
Appendix
Dynamic Consensus
Analysis of the Noise Cancelation Module
Microgrid Parameters
References
8 Distributed Assistive Control of DC Microgrids
8.1 Introductory of Power Buffer and Distributed Control
8.1.1 Operational Principle of Power Buffer
8.1.2 Distributed Control
8.2 System-Level Modeling of DC Microgrid with Power Buffers
8.3 Multi-player Game for Optimal Control
8.3.1 Microgrid Loads as Players in a Differential Game
8.3.2 Policy Iteration to Solve the Coupled AREs
8.4 Case Studies
8.4.1 Impedance Adjustment by Tuning Buffer Voltage
8.4.2 Steady-State and Small-Signal Decomposition
8.4.3 Conventional Approach: Deactivated Power Buffers
8.4.4 Assistive Controller: Single Assisting Neighbor
8.4.5 Assistive Controller: Multiple Assisting Neighbors
8.4.6 Communication Delay and Channel Bandwidth
8.5 Summary
Appendix
Power System Parameters
Control Parameters
References
Index
Advances in Industrial Control Ali Bidram Vahidreza Nasirian Ali Davoudi Frank L. Lewis Cooperative Synchronization in Distributed Microgrid Control
Advances in Industrial Control Series editors Michael J. Grimble, Glasgow, UK Michael A. Johnson, Kidlington, UK
More information about this series at http://www.springer.com/series/1412
Ali Bidram Vahidreza Nasirian Ali Davoudi Frank L. Lewis Cooperative Synchronization in Distributed Microgrid Control 123
Ali Bidram Quanta Technology Markham, ON Canada Vahidreza Nasirian TeraDiode (United States) Wilmington, MA USA Ali Davoudi Department of Electrical Engineering The University of Texas at Arlington Arlington, TX USA Frank L. Lewis The University of Texas at Arlington Research Institute Fort Worth, TX USA MATLAB® and Simulink® are registered trademarks of The MathWorks, Inc., 3 Apple Hill Drive, Natick, MA 01760-2098, USA, http://www.mathworks.com. ISSN 1430-9491 Advances in Industrial Control ISBN 978-3-319-50807-8 DOI 10.1007/978-3-319-50808-5 ISSN 2193-1577 (electronic) ISBN 978-3-319-50808-5 (eBook) Library of Congress Control Number: 2016959531 © Springer International Publishing AG 2017 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, 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. trademarks, service marks, etc. Printed on acid-free paper This Springer imprint is published by Springer Nature The registered company is Springer International Publishing AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland
To my lovely Maryam who has made my life meaningful. Ali Bidram To those whose unconditional love fueled my passions, and will propel me toward ultimate summits of success. Particularly, To my mother Fatemeh, and To my lovely Bauran and Hasan Vahidreza Nasirian To Mehdi Khajian, whose untimely passing left the sharif-EE class of 2003 in a deep sorrow. Ali Davoudi To Galina, Roma, and Chris, who make every day exciting. Frank L. Lewis
Series Editors’ Foreword The series Advances in Industrial Control aims to report and encourage technology transfer in control engineering. The rapid development of control technology has an impact on all areas of the control discipline. New theory, new controllers, actuators, sensors, new industrial processes, computer methods, new applications, new design philosophies…, new challenges. Much of this development work resides in industrial reports, feasibility study papers and the reports of advanced collaborative projects. The series offers an opportunity for researchers to present an extended exposition of such new work in all aspects of industrial control for wider and rapid dissemination. In 2015, the Advances in Industrial Control series published the monograph Voltage Control and Protection in Electrical Power Systems by Sandro Corsi (ISBN 978-1-4471-6635-1, 2015). This was an authoritative, detailed and com- prehensive study of how to design and implement voltage control systems in a national-scale electrical power grid. Some of the key concepts were a three-level control hierarchy and the decomposition of the grid into weakly interactive control regions. Each region was driven by “pilot” nodes or “leader” nodes and selected control generators that supported these nodes. The pilot nodes selected were those able strongly to influence or lead a set of surrounding buses. The decomposed structure for the three levels of the hierarchy was then used to construct the system controllers and to create an information network that provided the necessary system measurements. This idea of leaders to influence or co-ordinate the behaviour of a set of neighbouring entities in a system is a feature of the present monograph Cooperative Synchronization in Distributed Microgrid Control by authors Ali Bidram, Vahidreza Nasirian, Ali Davoudi, and Frank L. Lewis, where the application domain this time is microgrid power systems. Microgrids are defined as small-scale local power systems that supply a small spatial area. Examples could be in a small geographical area such as a remote community or could be a self-contained facility such as a hospital, or a cruise liner. A reason for the current interest in microgrids is the widespread need to integrate and exploit different renewable sources of electric vii
viii Series Editors’ Foreword power into one system. There are two types of microgrid, AC microgrids and DC microgrids, both of which are analysed in the authors’ monograph. The DC microgrid may receive more focus in the future as a way of dealing with localised sources of renewable energy and its storage using, for example, batteries. What is particularly novel about the present monograph is the use of leadership and the regularisation of the behaviour of all the entities in a distributed multi-agent system. Chapter 3 in the monograph is a fascinating presentation that starts from group animal behaviour as in swarms of birds or shoals of fish and culminates in a theory for the co-ordinated control of a multi-agent system. It is this notion of entities, all becoming synchronised and moving together towards a common goal, that finds application in the electric power system field. The analysis of microgrids is exhaustively reported in the monograph. This begins with modelling and a specification of the control objectives of AC and DC microgrids respectively. Subsequently the monograph focuses on three different aspects of AC microgrids: distributed control, Multi-objective adaptive distributed control and finally droop-free distributed control (Chaps. 4–6). Then the focus turns to the cooperative control and distributed assistive control of DC microgrids (Chaps. 7 and 8). The monograph has a wealth of material on the power system aspects of microgrids and their coordinated control. The introduction to the field of multi-agent system control is very welcome and timely, but what distinguishes this monograph and makes it an excellent entry to the Advances in Industrial Control series is the demonstration of how these ideas can find use in a practical industrial application. Michael J. Grimble Michael A. Johnson Industrial Control Centre University of Strathclyde Glasgow, Scotland, UK
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