Robust Control in Power Systems

1. INTRODUCTION

References

2. POWER SYSTEM OSCILLATIONS

2.1 Introduction

2.2 Nature of electromechanical oscillations

2.2.1 Intraplant mode oscillations

2.2.2 Local plant mode oscillations

2.2.3 Interarea mode oscillations

2.2.4 Control mode oscillations

2.2.5 Torsional mode oscillations

2.3 Role of Oscillations in Power Blackouts

2.3.1 Oscillations in the WECC system

2.4 Summary

References

3. LINEAR CONTROL IN POWER SYSTEMS

3.1 Introduction

3.2 Linear system analysis tools in power systems

3.2.1 Eigenvalue analysis

3.2.2 Modal controllability, observability and residue

3.2.3 Singular values and singular vectors

3.2.4 'Ft, and 7-t2 norm

3.2.5 Hankel singular values and model reduction

3.2.6 Stability, performance and robustness

3.2.7 Control design specifications in power systems

3.3 Summary

References

4. TEST SYSTEM MODEL

4.1 Overview of the test system

4.2 Models of different components

4.2.1 Generators

4.2.2 Excitation systems

4.2.3 Network power flow model

4.3 Modelling of FACTS devices

4.3.1 Thyristor controlled series capacitor (TCSC)

4.3.2 Static VAr compensator (SVC)

4.3.3 Thyristor controlled phase angle regulator (TCPAR)

4.4 Linearized system model

4.5 Choice of remote signals

4.6 Simplification of system model

References

5. POWER SYSTEM STABILIZERS

5.1 Introduction

5.2 Basic Concept of PSS

5.3 Stabilizing signals for PSS

5.4 Structure of PSS

5.5 Methods of PSS design

5.5.1 Damping torque approach

5.5.2 Frequency response approach

5.5.3 Eigenvalue and state-space approach

5.5.4 Summary

References

6. MULTIPLE-MODEL ADAPTIVE CONTROL APPROACH

6.1 Introduction

6.2 Overview of MMAC strategy

Contents

6.2.1 Calculation of probability: Bayesian approach

6.2.2 Calculation of weights

6.3 Study system

6.4 Model bank

6.4.1 4-machine, 2-area system

6.4.2 16-machine, 5-area system

6.5 Control tuning and robustness testing

6.5.1 4-machine, 2-area system

6.5.2 16-machine, 5-area system

6.6 Test cases

6.6.1 Test case I

6.6.2 Test case 11

6.7 Choice of convergence factor and artificial cut-off

6.8 Simulation results with a 4-machine, 2-area study system

6.8.1 Test case I

6.8.2 Test case 11

6.9 Simulation results with a 16-machine, 5-area study system

6.9.1 Test case I

6.9.2 Test case IIa

6.9.3 Test case IIb

6.10 Summary

References

7. SIMULTANEOUS STABILIZATION

7.1 Eigen-Value-Distance Minimization

7.2 Robust pole-placement

7.3 Case study

7.4 Control design

7.5 Simulation results

7.6 Summary

References

8. MIXED-SENSITIVITY APPROACH USING LMI

8.1 Introduction

8.2 IFI, mixed-sensitivity formulation

8.3 Generalized 'H, problem with pole-placement

8.4 Matrix inequality formulation

8.5 Linearization of the matrix inequalities

8.6 Case study

8.6.1 Weight selection

8.6.2 Control design

8.6.3 Performance evaluation

8.6.4 Simulation results

8.7 Case study on sequential design

8.7.1 Test system

8.7.2 Control design

8.7.3 Performance evaluation

8.7.4 Simulation results

8.8 Summary

References

9. NORMALIZED '?f, LOOP-SHAPING USING LMI

9.1 Introduction

9.2 Design approach

9.2.1 Loop-shaping

9.2.2 Robust stabilization

9.3 Case study

9.3.1 Loop-shaping

9.3.2 Control Design

9.3.3 Simulation results

9.4 Summary

References

10. 'FI, CONTROL FOR TIME-DELAYED SYSTEMS

10.1 Introduction

10.2 Smith predictor for time-delayed or dead-time systems: and overview

10.3 Problem formulation using unified Smith predictor

10.4 Case study

10.4.1 Control design

10.4.2 Performance evaluation

10.4.3 Simulation results with TCSC

10.5 Simulation results with SVC

10.6 Summary

References

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