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Energy Function Analysis for Power System Stability

This research monograph is in some sense a sequel to the author's earlier one (Power System Stability, North Holland, New York 1981) which devoted cons- erable attention to Lyapunov stability theory, construction of Lyapunov fu- tions and vector Lyapunov functions as applied to power systems. T...

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Bibliographic Details
Main Author: Pai, M.A.
Format: eBook
Language:English
Published: New York, NY Springer US 1989, 1989
Edition:1st ed. 1989
Series:Power Electronics and Power Systems
Subjects:
Electrical And Electronic Engineering
Electrical Engineering
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
Table of Contents:
  • 6.1 Introduction
  • 6.2 The Controlling u.e.p. Method
  • 6.3 Modifications to the Controlling u.e.p. Method
  • 6.4 Potential Energy Boundary Surface (PEBS) Method
  • 6.5 Mode of Instability (MOI) Method
  • 6.6 Dynamic Security Assessment
  • 7 Future Research Issues
  • Appendix A 10 Machine 39 Bus System Data
  • References
  • 3.7 The Quasi Unstable Equilibrium Point (QUEP) Method
  • 3.8 Decomposition-Aggregation Method
  • 3.9 Time Scale Energies
  • 4 Energy Functions with Detailed Models of Synchronous Machines and Its Control
  • 4.1 Introduction
  • 4.2 Single Machine System With Flux Decay Model
  • 4.3 Multi-Machine Systems With Flux Decay Model (Method of Parameter Variations)
  • 4.4 Lyapunov Functions for Multi-Machine Systems With Flux Decay Model
  • 4.5 Multi-Machine Systems With Flux Decay Models and AVR
  • 4.6 Energy Functions With Detailed Models
  • 4.7 Lyapunov Function for Multi-Machine Systems With Flux Decay and Nonlinear Voltage Dependent Loads
  • 5 Region of Stability in Power Systems
  • 5.1 Introduction
  • 5.2 Characterization of the Stability Boundary
  • 5.3 Region of Stability
  • 5.4 Method of Hyperplanes and Hypersurfaces
  • 5.5 Potential Energy Boundary Surface (PEBS) Method
  • 5.6 Hybrid Method Using the Gradient System
  • 6 Practical Applications of the Energy Function Method
  • 1 Power System Stability in Single Machine System
  • 1.1 Introduction
  • 1.2 Statement of the Stability Problem
  • 1.3 Mathematical Formulation of the Problem
  • 1.4 Modeling Issues
  • 1.5 Motivation Through Single Machine Infinite Bus System
  • 1.6 Chapter Outline
  • 2 Energy Functions for Classical Models
  • 2.1 Introduction
  • 2.2 Internal Node Representation
  • 2.3 Energy Functions for Internal Node Models
  • 2.4 Individual Machine and other Energy Functions
  • 2.5 Structure Preserving Energy Functions
  • 2.6 Alternative Form of the Structure Preserving Energy Function
  • 2.7 Positive Definiteness of the Energy Integral
  • 2.8 Tsolas-Araposthasis-Varaiya Model
  • 3 Reduced Order Energy Functions
  • 3.1 Introduction
  • 3.2 Individual Machine and Group Energy Function
  • 3.3 Simplified Form of the Individual Machine Energy Function
  • 3.4 Cutset Energy Function
  • 3.5 Example of Cutset Energy Function
  • 3.6 Extended Equal Area Criterion (EEAC)

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