Transmission Expansion and Reactive Power Planning Considering Wind Energy Investment Using A Linearized AC Model

This paper presents an approximated AC model for simultaneous transmission expansion planning (TEP) and reactive power planning by considering wind power investment. Since the full AC-TEP problem is still challenging to solve due to its non-convexity, a linearized model, by means of special ordered set of type 2, is used to represent the mathematical model of the network. The objective function of our problem is considered to be the annualized investment cost of transmission lines, reactive power resources and wind power plants as well as the operation cost of production of electricity and reactive power resources. Wind and load uncertainties are handled by scenario generation. The K-means clustering technique is employed in order to reduce the number of scenarios. The presented work is applied to the 6-bus Garver’s power system, the 24-bus IEEE RTS and the 118-bus IEEE power system. These three different examples illustrate the characteristics of the method. The results and the provided discussions clearly show the effectiveness and robustness as well as the computational efficiency of the proposed stochastic co-planning framework.

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