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1.3.2 Optimal placement of distributed generation and capacitors

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We can use the same convex approximations of the optimal power flow problem in problems such as the optimal placement of distributed generation in power distribution networks. The problem consists of determining the placement and capacity of distributed generation, subject to physical constraints, such as voltage regulation and transmission lines’ capacity. Besides, the problem includes binary constraints related to the placement of the distributed generation. The objective function is usually total power loss, although other objectives, such as reliability and optimal costs, are also suitable.

Another binary problem closely related to the OPF is the optimal placement of capacitors. In this problem, fixed or variable capacitors are placed along the primary feeder to minimize power loss. The capacitors’ location and the number of fixed capacitors in each node are binary variables considered in the model. Chapter 11 examines the optimal placement of capacitors and the optimal placement of distributed generation.

Mathematical Programming for Power Systems Operation

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