A brief historical account of oscillatory behavior in power systems is given
in chapter 2. The analytic tools that are commonly used in small-signal stability
analysis are presented in chapter 3 and chapter 4 contains a description of the
components participating in interarea oscillations including FACTS devices:
Static VAr capacitors (SVC)
Thyristor-controlled series capacitors (TCSC)
Thyristor-controlled phase shifters (TCPS)
The system model which is used to test damping controller designs is described
in chapter 4.
Chapter 5 provides an overview of power system stabilizers (PSS) in a power
system. The intention is to develop understanding and requirement of control
design through damping torque concepts initially on a single machine infinite
bus (SMIB) system. The extension of damping torque to the multi-machine
system and different ways to achieve gain and phase compensation circuits
used for PSS are discussed in the later part of this chapter.
A multiple-model based controller design is given in chapter 6 and chapter
7. A probability weighted approach is used to integrate the action of several
controllers to give multiple-model adaptive control (MMAC). In chapter 7, a robust
pole-placement approach giving eigenvalue distance minimization is used.
Both methods address the robustness of the control schemes.
The 7-1, norm optimization is central to the controller design approaches
in chapter 8 through 11. In chapter 8, a standard weighted mixed sensitivity
optimization is made and a suitable set of linear matrix inequalities (LMI)
being obtained numerically. Minimum closed-loop damping is ensured by poleplacement
being taken as an additional LMI constraint.
In chapter 9, a left-coprime factorization approach gives a centralized control
structure for a properly-shaped open loop plant using a loop-shaping technique.
Again the numerical solution is obtained through LMI.
The effect of signal transmission delay on damping control is considered in
chapter 10. A weighted-mixed sensitivity approach to the design of the central
control structure is extended to include a delay in the output signal. Predictor
techniques have been used in the controller design to obtain an 7-1, controller.
In all the above designs, robust damping for varying power level and changing
network topology is confirmed by eigenvalue analysis and time-domain nonlinear
simulations have been made to demonstrate the validity of the designs.
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