Mathematical model of consumer regulators management for alignment of electric load graphs of transformer substation 10/0.4 kV

Abstract

_{The change of load of the transformer substation TS 10 / 0,4 kV in the mode of maximum and minimum load is measured. It is noted that the process is non-stationary at the daily in-terval. Hourly intervals of time are highlighted on the daily graph of electrical load, the study of the law of distribution is conducted, and the normal law of distribution is confirmed by Pearson's criterion. The stationarity test was performed on parametric tests, namely the verification of the Fisher's Fish-er's constant variance and the mathematical expectation of the Student's t-test and the correlation function.The values of numerical characteristics were obtained at the stationary areas and a probabilistic mathematical model of the TS 10 / 0.4 kV load was constructed. The method of equalization of the electric load graph of TS 10 / 0,4 kV is developed by optimal management of the power of consumers-regulators in urban electric networks, taking into account the features of the electric load graph of the main con-sumers of TS 10 / 0,4 kV. For this purpose, we set a target function, where the criterion of optimization is the total min-imum cost to cover the losses of electricity in the network caused by the irregularity of the electric load graph and the electricity consumed, a system of constraints caused by the load capacity of the transformers and the required energy consumption by the technology regulators has been compiled and boundary conditions determined by the installed capaci-ties of the consumers-regulators. In order to take into account the trade-off between the constituents of the objective func-tion, the weighted coefficients of the generalized objective function are chosen by the method of expert estimation. A nonlinear programming method was used to fulfill the opti-mization process, and the extremum of the function was found using the Newton method. The solution of the problem is implemented in MS Excel.}