继电器磁路的双微分方程模型

A Dual Differential Equation Model for Relay Magnetic Circuits

到目前为止,用“场”的模型计算诸如继电器这类磁路,其费用和代价仍显太高,与继电器的成本无法比拟。因此,有必要进一步发展“路”的模型。本文提出的双微分方程模型,在原有用微分方程表达漏磁分布特征的磁路模型基础上,又加入一个微分方程,以确切地表达工作气隙磁通的分布参数特征。计算结果与实验测试,二维有限元以及原集中参数模型计算结果进行了比较,改进后的模型与测试结果吻合良好,且不亚于二维有限元,但却省工,省时,省费用。

Up to now,“field” models do not sound to be quite appropriate for calculation of those electro-magnetic problems,such as relay magnetic circuits,as they require too high cost and too big effort for calculation comparatively to the low prices of relay. Therefore,it is essential to have a further development of “circuit” models for such problems. The dual differential equation model presented in this paper is a try in the circuit model development.To express more accurately the distributed character of the work- ing air-gap flux,additional differential equation is employed in the traditional relay magnetic circuit model where an original differential equation is used to express the flux leakage distribution.Calculation results of the new model is compared with resu- lts from experimental measurement,a 2D finite element calculation and a traditional magnetic circuit model respectivly.It is shown that the Improved model results have a good agreement with experimental measurements,no worse in any sense than those from 2D FE calculation.Meantime.great saving have been achieved in CPU time and mamual labour,as well as the cost for calculation.