Introduction to Nonlinear System in Power Engineering Analysis, Control, and Optimization

by Tindyo Prasetyo, ST

Content Chapter 1 Nonlinear Phenomena Chapter 2 Nonlinear Analysis Chapter 3 Nonlinear Control Problem Chapter 4 Nonlinear Control Design Methods Chapter 5 Nonlinear Optimization Chapter 6 Nonlinear Analysis in Power System Chapter 7 Nonlinear Control in Power System Chapter 8 Nonlinear Optimization in Power System Chapter 9 Nonlinear Analysis in Power Electronic Chapter 10 Nonlinear Control in Power Electronic Chapter 11 Nonlinear Analysis in Electrical Machines Chapter 12 Nonlinear Control in Electrical Machines

Chapter 1 Nonlinear Phenomena Multiple Isolated Equilibria Bifurcation Limit Cycles Chaos Jump Resonance Finite Escape Time Nonlinear Oscillation

Subharmonic Oscillation Harmonic Oscillation Almost periodic Oscillation

Multiple Modes of Behaviour

Chapter 2 Nonlinear System Analysis Phase Plane

Real Distinct Root-Nullclines Jordan Form-Isoclines Complex Eigenvalues Repeat Real Root Distinct Root Repeat Eigenvalue Jordan Canoncal Form

Lypunov Method Linearization Method Direct Method Non Autonomous Method

Describing Function

Chapter 3 Nonlinear Control Problem

Stabilization Problem Tracking Problem Relation Stabilization and Tracking Problem Constructing Nonlinear Controller

Chapter 4 Nonlinear Control Design Methods

Trial and Error Feedback Linearization Sliding Control Robust Control Adaptive Control Gain Scheduling Multi Input System

Chapter 5 Nonlinear Analysis in Power System Bifurcation

Hopf Bifurcation Saddle Node Bifurcation Singularity Bifurcation Periodic Doubling Bifurcation Blue Sky Bifurcation

Chaos Limit Cycles

Chapter 6 Nonlinear Control in Power System Physically System Control

Primary Control Secondary Control Tertiary Control

Economic Operation Control Deregulated Issue