Assessment of the reliability of the mathematical model of the 0.4 kV rural electric network in Matlab Simulink on the example of a study of the steady-state mode of a single-phase short circuit

A. Lansberg, A. Vinogradov, A. A. Panfilov
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Abstract

PURPOSE. Currently, modeling is one of the most reliable ways to study normal and emergency modes of operation of electrical networks. In this regard, a mathematical model of the 0.4 kV rural electric network was developed in the MATLAB Simulink program.PURPOSE. Evaluation of the accuracy of the parameters of the operating modes of the 0.4 kV rural electric network obtained by modeling in MATLAB Simulink by estimating the values of the steady-state single-phase short circuit current at different distances from the transformer substation.METHODS. The currents obtained using the 0.4 kV electrical network model developed in MATLAB Simulink were compared with the currents obtained using other calculation methods (according to GOST 28249-93, the simplified phase-zero loop method and the mathematical model «Project RZA»).RESULTS. It was revealed that the discrepancy in the results at individual points was 9-11%. When simulating a steady-state single-phase short circuit in MATLAB Simulink, it was found that the voltage of the damaged phase A decreases to 0 V, while the voltages on the two remaining intact phases increase by 1.4-1.5 times, i.e.E. by a factor of 2 to the values of 335-354 V when short-circuiting at the transformer terminals and to the values of 329-338 V when short-circuiting behind a section of a 0.4 kV power line.CONCLUSIONS. The resulting mathematical model of a 0.4 kV rural electric network in the MATLAB Simulink program can be used to study normal and emergency operating modes, study the modes of joint operation of renewable energy sources with a centralized network, and the processes of switching on backup generation sources.
以单相短路稳态模式研究为例,评估 Matlab Simulink 中 0.4 千伏农村电网数学模型的可靠性
目的。目前,建模是研究电网正常和紧急运行模式的最可靠方法之一。为此,在 MATLAB Simulink 程序中建立了 0.4 千伏农村电网的数学模型。通过估算距离变电站不同距离处的稳态单相短路电流值,评估通过 MATLAB Simulink 建模获得的 0.4 千伏农村电网运行模式参数的准确性。将使用 MATLAB Simulink 开发的 0.4 千伏电网模型获得的电流与使用其他计算方法(根据 GOST 28249-93、简化零相回路法和数学模型 "Project RZA")获得的电流进行比较。结果表明,各个点的结果差异为 9-11%。在 MATLAB Simulink 中模拟稳态单相短路时,发现损坏的 A 相电压降至 0 V,而其余两相完好的电压增加了 1.4-1.5 倍,即在变压器终端短路时增加了 2 倍,达到 335-354 V,而在一段 0.4 kV 输电线后短路时达到 329-338 V。在 MATLAB Simulink 程序中建立的 0.4 千伏农村电网数学模型可用于研究正常和紧急运行模式,研究可再生能源与集中式电网联合运行的模式,以及切换备用发电资源的过程。
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