Technology for simulation models of power transformers with arbitrary design of active part

A. Tikhonov, A. Karzhevin, A. Stulov, D.M. Tikhomirov, V.E. Rozin
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Abstract

Existing simulation models of power transformers that operate, for example, in the MATLAM Simulink SimPowerSystem environment, are based on an ideal transformer model. It allows using this model as an autonomous link in a complex electrical circuit. The main disadvantage of such models is the difficulty to consider non-standard versions of the magnetic circuit and special schemes for connecting winding elements when modeling. Particularly significant problems arise when modeling special transformers of the certain classes. At the same time, traditionally, when modeling the transient modes of transformers, a different approach is used. It is based on the use of inductance matrices which allows considering all the design features of the active part of the transformer. The disadvantage of this approach is the need to describe an external electrical circuit in addition to the transformer. Therefore, the problem to develop a modern technology for simulation models of transformers with an arbitrary design of the active part is topical. This model meets the requirement for the autonomy of the transformer model from the external circuit model. The authors have used the methods of modeling electrical and magnetic circuits based on the theory of ordinary differential equations, and simulation method using the MatLab Simulink SimPowerSystems package. A technology has been developed for simulation models of transformers with an arbitrary design of the active part based on the use of typical subsystems. An algorithm for matrix of inductances based on the main magnetic field of the transformer with the existing equivalent circuit of the magnetic circuit is given. The authors have presented a diagram of a three-phase transformer model developed using the proposed technology, as well as the results of comparing the current curves in the primary and secondary windings of the transformer when it is turned on at idle and with a resistive load. The results are obtained using the existing and new models. The results of the study can be used to design general industrial and special transformers in design companies and in manufacturing environment. The developed technology can give a special effect when it is used at the R&D stage to study the operating modes of transformers in case the enterprise has no experience to design and manufacture them.
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有功部分任意设计电力变压器仿真模型技术
例如,在MATLAM Simulink SimPowerSystem环境中运行的电力变压器的现有仿真模型是基于理想的变压器模型的。它允许将该模型用作复杂电路中的自主链接。这种模型的主要缺点是在建模时难以考虑非标准版本的磁路和连接绕组元件的特殊方案。在对特定类的特殊变压器进行建模时,会出现特别严重的问题。与此同时,传统上对变压器暂态模式进行建模时,采用了不同的方法。它基于电感矩阵的使用,可以考虑变压器有源部分的所有设计特征。这种方法的缺点是除了变压器之外还需要描述外部电路。因此,开发具有任意有源设计的变压器仿真模型的现代技术是当前的研究热点。该模型满足了变压器模型相对于外部电路模型的自主性要求。作者采用了基于常微分方程理论的电路图和磁路图建模方法,并采用MatLab Simulink SimPowerSystems软件包进行了仿真。在典型子系统的基础上,提出了一种任意设计有源部分的变压器仿真模型技术。给出了一种基于变压器主磁场和现有磁路等效电路的电感矩阵计算算法。作者给出了使用该技术开发的三相变压器模型的示意图,以及变压器在空闲和带阻性负载时一次绕组和二次绕组电流曲线的比较结果。利用现有模型和新模型得到了结果。研究结果可用于设计公司和制造环境中一般工业和特种变压器的设计。在企业没有设计和制造经验的情况下,将所开发的技术用于研究变压器的运行模式,可以起到特殊的作用。
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