Abstract

A mathematical model is suggested to simulate currents under conditions of electrical damage in the windings of a single-phase furnace transformer with a split secondary winding. A method to reduce the number of equations in this mathematical model with many splits has been developed, which allows one to use iterative methods, e.g., the Gauss method, to determine currents in the windings. The effectiveness of the obtained model has been experimentally verified. It has been shown that the error in modeling the currents in the windings of a single-phase furnace transformer with secondary winding splitting during a short circuit in the primary winding does not exceed 10–15%. On the basis of the method to reduce the number of equations in a mathematical model, mathematical models have been developed; they allow one to simulate the currents in the windings of a furnace transformer during the short circuit in a short network with the break in a splitting conductor and under the normal load mode.

中文翻译：

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具有分相次级绕组的单相炉变压器绕组中电损坏条件下的电流模拟

摘要

提出了一个数学模型来模拟带有分流次级绕组的单相炉变压器绕组在电损坏条件下的电流。已经开发出一种减少该数学模型中具有许多分裂的方程式数量的方法，该方法允许人们使用迭代方法（例如高斯方法）来确定绕组中的电流。获得的模型的有效性已通过实验验证。结果表明，在对初级绕组短路时，次级绕组分裂的单相炉变压器绕组电流建模中的误差不超过10-15％。在减少数学模型中方程数的方法的基础上，开发了数学模型。