Abstract

The damping winding of the synchronous machine is practically activated in transient conditions and the electromagnetic parameters of its equivalent diametrical circuits having magnetic axes d and q are adapted to the peculiarities of transients. It is necessary to distinguish between two types of the most common transients associated with asynchronous and synchronous motion of the rotors. Two sets of electromagnetic parameters of the equivalent damping winding can be found for them. On the basis of mathematical modeling of a synchronous machine with a full damping winding containing ten rods at each pole, a mathematical model of 15 differential equations in the Cauchy form is obtained, which allows the currents of all the rods of the real damping winding to be determined. On the basis of this model, the electromagnetic parameters of the equivalent damping winding for the two above-mentioned types of transients were determined. The traditional method of determining the parameters of the equivalent damping winding, which is based on the nonsynchronous steady-state motion of the rotor, yields ambiguous results depending on the location of the amplitude of the current layer of the rotor on its surface. Formulas for calculation of parameters of equivalent damping winding by this method were specified. The methods associated with the transient in synchronous mode give approximately the same values of the parameters of the equivalent damping winding.

中文翻译：

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用于计算单极同步电机等效阻尼绕组的参数

摘要

同步电机的阻尼绕组实际上是在瞬态条件下激活的，其等效直径电路的电磁参数具有磁轴d和q适应瞬态的特殊性。有必要在与转子的异步和同步运动相关的两种最常见的瞬变之间进行区分。可以找到两组等效阻尼绕组的电磁参数。在具有完整阻尼绕组的同步电机的数学模型的基础上，每个阻尼绕组的每个极都包含十根杆，从而获得了柯西形式的15个微分方程的数学模型，该模型允许实际阻尼绕组的所有杆的电流达到被确定。在此模型的基础上，确定了上述两种类型的瞬态的等效阻尼绕组的电磁参数。确定等效阻尼绕组参数的传统方法，它基于转子的非同步稳态运动，根据转子电流层在其表面上振幅的位置，会产生模棱两可的结果。给出了用该方法计算等效阻尼绕组参数的公式。与同步模式中的瞬变相关的方法给出的等效阻尼绕组的参数值大致相同。