Optimization of power systems modes taking into account the influence of electrical networks

The problem of power system mode optimization taking into account losses in electrical networks and constraints on power flows in power transmission lines (PTL) is a complex problem of nonlinear programming. In general case, it is associated with a large number of different-scale variables, simple and functional constraints in the forms of equality and inequality, the different nature of the initial data on the state of the system and complex dependencies between parameters. Therefore, despite the existence of many methods and algorithms for solving of this problem, the issues of their improvement in the direction of increasing the efficiency due to more accurate accounting of limiting and influencing factors remains as an important problem. This paper presents a new algorithm for optimization of modes of power systems taking into account functional constraints in the form of inequality on active power flows in controlled PTL and losses in electrical networks. It characterized with the calculation of active power flows in controlled transmission lines by their expression, using the circuit and operating parameters of the electrical network, as well as taking into account losses without calculation of their derivatives. The results of experimental calculations carried out for a power system, which have four settlement thermal power plants, taking into account the network factor, are presented. They show that the use of the proposed algorithm can significantly increase the efficiency of optimization by increasing the accuracy of accounting of losses in electrical networks and power flows in controlled PTL.

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