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首页> 外文期刊>International Journal of Electrical and Computer Engineering >Exciting field and quadrature-axis armature reaction in a cascade equivalent A-H-circuit of a salient-pole generator
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Exciting field and quadrature-axis armature reaction in a cascade equivalent A-H-circuit of a salient-pole generator

机译:在梯级发电机的级联等效A-H电路中令人兴奋的场和正交轴衔铁反应

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摘要

Cartesian and cylindrical laminated models are well known in calculations of electric machines. In such models, general solutions of partial differential equations are transformed into four-terminal network equations, and this makes possible to synthesize cascade equivalent circuits of electric machines. In salient-pole machines, solutions of partial differential equations are formed on the base of piecewise continuous Sturm-Liouville eigenfunctions. However, in this case, cascade equivalent circuits cannot be synthesized since it needs many piecewise continuous eigenfunctions in the zone of poles and many smooth functions in the zone of the air gap for ensuring uniqueness of a solution. Meanwhile the author of this paper had offered an approximate method on the base of the single piecewise continuous Sturm-Liouville eigenfunction in the zone of poles and many smooth functions in the zone of the air gap. This method allows transforming a solution of a partial differential equation into four-terminal network equations and synthesizing cascade equivalent circuits of salient-pole machines. In this paper, electromagnetic field of a synchronous salient-pole generator is calculated with a cascade equivalent A-H-circuit. The cell that corresponds to rotor poles is synthesized on the base of a solution of Laplace's equation with the single piecewise continuous Sturm-Liouville eigenfunction.
机译:笛卡尔和圆柱形层压模型在电机的计算中是众所周知的。在这种模型中,将部分微分方程的一般解变为四个终端网络方程,这使得可以合成电机的级联等效电路。在凸极机中,在分段连续斯图尔姆 - Liouville unigenfunction的基础上形成部分微分方程的解决方案。然而,在这种情况下,级联等效电路不能被合成,因为它需要在极区内的许多分段连续特征函数以及气隙区域中的许多平滑功能,以确保解决方案的唯一性。与此同时,本文的作者在杆子区内单分段连续斯图尔姆 - 荔枝特征的基础提供了近似的方法,以及空气间隙区域的许多平滑功能。该方法允许将部分微分方程的解决方案转换为四端网络方程,并合成俯仰杆机器的级联等效电路。本文用级联等效A-H电路计算了同步凸极发生器的电磁场。对应于转子杆的电池在Laplace等式的基础上合成,其中单个分段连续的STURM-LIOUVILLE特征函数。

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