Abstract

Background: Dynamic modes of various nonlinear electromagnetic devices regarding instantaneous currents and voltages are now calculated by numerical methods. That is why the software package MATLAB, a high-level programming environment, has become widely spread. However, its built-in features are not always sufficient to describe circuits containing non-linear electromagnetic devices, in particular three-core transformers. It becomes clear while studying asymmetrical transients which are caused by changing parameters of the transformer itself, such as breakage or short circuit of windings, or by using a connecting load. Asymmetric transients of transformers are normally analysed by the method of superposition of forced and free modes. And the forced mode is calculated by the method of symmetrical components, while the available free components are determined by introducing different coefficients identified by comparing the accumulated experimental and calculated data. This approach is based on rather rough assumptions. The goal of the present research is to develop methods, algorithms and programs which allow us to use Simulink for calculating nonlinear electromagnetic devices. Materials and methods: The study of dynamical modes in the transformer was performed by the alternating direction method in MATLAB environment that has a program for calculation of nonlinear magnetic circuit of the three-core transformer.  «Вестник ИГЭУ» Вып. 4 2016 г.  ФГБОУВО «Ивановский государственный энергетический университет имени В.И. Ленина» 12 Results: A model and algorithms have been developed extending the capabilities of Simulink for the calculation of circuits with non-linear electromagnetic devices. The asymmetrical modes for the three-core transformer with a Y/Yn winding connection scheme have been calculated. Conclusions: The proposed model is universal and allows analysing transient, steady-state and emergency modes under asymmetric loads in transformers with different connection diagrams. The evaluation was made by verifying the results of numerical experiments against the passport data of the transformer.

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