8  Introductions to Power System Applications

8.1  Overview of Power System Optimization Models

Optimization models can be roughly divided into two classes: continuous (involving real variables only) and discrete (with at least one discrete variable). The objective functions (single or multiple) and the constraints of the problem can be linear or nonlinear, convex or concave. Optimization techniques have been applied to several problems in power systems. Thermal unit commitment (UC)/hydrothermal coordination, optimal power flow (OPF), reconfiguration resilience, reliability, vulnerability, and voltage/VAr planning are among the most important applications.

The input–output characteristics of typical thermal generators are highly nonlinear ...

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