Power System Small Signal Stability Analysis and Control

Power System Small Signal Stability Analysis and Control

1st Edition - April 28, 2014

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  • Authors: Debasish Mondal, Abhijit Chakrabarti, Aparajita Sengupta
  • eBook ISBN: 9780128006702
  • Hardcover ISBN: 9780128005729

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Power System Small Signal Stability Analysis and Control presents a detailed analysis of the problem of severe outages due to the sustained growth of small signal oscillations in modern interconnected power systems. The ever-expanding nature of power systems and the rapid upgrade to smart grid technologies call for the implementation of robust and optimal controls. Power systems that are forced to operate close to their stability limit have resulted in the use of control devices by utility companies to improve the performance of the transmission system against commonly occurring power system disturbances. This book demonstrates how the application of power system damping controllers such as Power System Stabilizers (PSSs) and Flexible Alternating Current Transmission System (FACTS) controllers—namely Static Var Compensator (SVC) and Thyristor Controlled Series Compensator (TCSC)—can guard against system disruptions. Power System Small Signal Stability Analysis and Control examines the signal stability problem, providing an overview and analysis of the concepts and of the controllers used to mitigate it. Detailed mathematical derivations, illustrated case studies, the application of soft computation techniques, designs of robust controllers, and end-of-chapter exercises make it a useful resource to researchers, practicing engineers, and post-graduates in electrical engineering.

Key Features

  • Examines the power system small signal stability problem and various ways to mitigate it
  • Offers a new and simple method of finding the optimal location of PSS in a multi-machine power system
  • Provides relevant exercises to further illustrate chapter-specific content


Researchers, practicing engineers, post graduate (M.E, M.Tech) and Ph.D students in electrical and allied branches of engineering

Table of Contents

    • Dedication
    • Acknowledgments
    • Author Biography
    • Preface
    • Chapter 1: Concepts of Small-Signal Stability
      • Abstract
      • 1.1 Introduction
      • 1.2 Swing equation
      • 1.3 Nature of oscillations
      • 1.4 Modes of oscillations and its study procedure
      • 1.5 Synchronizing torque and damping torque
      • 1.6 Small-signal oscillations in a synchronous generator connected to an infinite bus
      • 1.7 An illustration
      • Exercises
    • Chapter 2: Fundamental Models of Synchronous Machine
      • Abstract
      • 2.1 Introduction
      • 2.2 Synchronous machine dynamic model in the a–b–c reference frame
      • 2.3 Park's transformation and dynamic model in the d–q–o reference frame
      • 2.4 Per unit (PU) representation and scaling [2]
      • 2.5 Physical significance of PU system
      • 2.6 Stator flux–current relationships
      • 2.7 Rotor dynamic equations
      • 2.8 Reduced order model
      • 2.9 Equivalent circuit of the stator algebraic equations
      • 2.10 Synchronous machine exciter
    • Chapter 3: Models of Power Network and Relevant Power Equipments
      • Abstract
      • 3.1 Introduction
      • 3.2 Simple model of a synchronous generator
      • 3.3 Steady-state modeling of synchronous machine (Analytical aspects) [1]
      • 3.4 Governor model [2]
      • 3.5 Turbine model [2]
      • 3.6 Power network model
      • 3.7 Modeling of load
      • 3.8 Power system stabilizer
      • 3.9 Model of FACTS devices
    • Chapter 4: Small-Signal Stability Analysis in SMIB Power System
      • Abstract
      • 4.1 Introduction
      • 4.2 Heffron–Philips model of SMIB power system
      • 4.3 Small-Signal stability analysis using state-space model and block diagram
      • 4.4 An illustration
      • 4.5 Effect of Generator Field
      • 4.6 Effect of excitation system
      • 4.7 An illustration
    • Chapter 5: Small-Signal Stability Analysis in Multimachine System
      • Abstract
      • 5.1 Introduction
      • 5.2 Multimachine small-signal model
      • 5.3 Computation of initial conditions of the state variables
      • 5.4 Identification of electromechanical swing modes
      • 5.5 An illustration: A test case
    • Chapter 6: Mitigation of Small-Signal Stability Problem Employing Power System Stabilizer
      • Abstract
      • 6.1 Introduction
      • 6.2 The application of PSS in an SMIB system
      • 6.3 Multimachine Small-Signal stability improvement
      • 6.4 Development of a location selection indicator of PSS
      • 6.5 Effect of load
    • Chapter 7: Application of FACTS Controller
      • Abstract
      • 7.1 Introduction
      • 7.2 FACTS technology [6]
      • 7.3 Application of SVC in small-signal stability improvement
      • 7.4 Application of a TCSC controller in an SMIB system
      • 7.5 Multimachine application of SVC
      • 7.6 Application of TCSC in a multimachine power system
      • 7.7 Voltage source converter-based FACTS device (STATCOM)
      • 7.8 Application of TCSC in a longitudinal power system
    • Chapter 8: Optimal and Robust Control
      • Abstract
      • 8.1 Introduction
      • 8.2 Genetic algorithm-based optimization
      • 8.3 Particle swarm optimization
      • 8.4 Implication of SVC and TCSC controllers on critical loading
      • 8.5 Comparison between PSO- and GA-based Designs
      • 8.6 H optimal control
      • 8.7 Multiarea Closed-Loop control
    • Nomenclature
    • Appendix A: Fundamental Concepts
      • A.1 Generalized concept of stability-brief review
      • A.2 Aspect of linearization
      • A.3 System matrix and its eigen properties
      • A.4 What are Semi-Definite Programming (SDP) problems?
    • Appendix B: Data Used for Relevant Power System Components
      • B.1 SMIB system
      • B.2 WSCC type 3 machine, 9 bus system
      • B.3 Two-area system
      • B.4 IEEE type 14-bus test system
      • B.5 14-Area, 24-machine, 203-bus system
    • Index

Product details

  • No. of pages: 328
  • Language: English
  • Copyright: © Academic Press 2014
  • Published: April 28, 2014
  • Imprint: Academic Press
  • eBook ISBN: 9780128006702
  • Hardcover ISBN: 9780128005729

About the Authors

Debasish Mondal

Debashish Mondal - Haldia Institute Of Technology, Dept. of Applied Electronics and Instrumentation Engineering, B.Sc (Hon. in Physics), B.Tech (Instrumentation Eng.), M.E (Electrical Eng. Spl: Control System), Ph.D (Engineering), 6 years industry experience and 7 years teaching and research, Member of The Institution of Engineers (India),

Affiliations and Expertise

Haldia Institute of Technology

Abhijit Chakrabarti

Dr. Abhijit Chakrabarti - Dept. Of Electrical Engineering, Bengal Engineering and Science University, B.E (Electrical), M.Tech (Power), Ph.D (Tech), 7 years industry experience, 23 years teaching & research; The Institution of Engineers (India), Life Fellow

Affiliations and Expertise

Bengal Engineering and Science University

Aparajita Sengupta

Dr. Aparajita Sengupta - Dept. Of Electrical Engineering, Bengal Engineering and Science University B.E (Electrical), M.Tech, Ph.D (Control System), has 15 years of experience teaching and in research, Member of IEEE, IEE, Indian Association of Cultivation Science

Affiliations and Expertise

Bengal Engineering and Science University

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