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A modified Maxwell model for characterization of relaxation processes within insulation system having non-uniform aging due to temperature gradient

机译:修正的麦克斯韦模型,用于表征绝缘系统中由于温度梯度而具有不均匀老化的松弛过程

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摘要

Modeling of dielectric relaxation function =5;(t) by a distribution of exponential decay functions is advantageous due to its monotonically decreasing property which ensures that =5;(t) is integrable over any period of time. Several equivalent circuits based on simple combination of energy storing and dissipating elements are available in literature which are capable of modeling =5;(t). One of the widely used two-parameter equivalent circuit for dielectric response modeling of various polymeric dielectric as well as oil-paper insulation is the Maxwell ladder structure. In this paper it is shown that for more accurate modeling and better understanding of the dielectric response of complex insulation system like oil-paper insulation of high voltage equipments operating under temperature gradient, modification of Maxwell model is necessary. The proposed model, similar to the classic Maxwell circuit, is also composed of a number of parallel branches, but unlike the former, the proposed model considers each of the parallel branches to be composed of not just one but a number of exponential functions.
机译:通过指数衰减函数的分布对介电弛豫函数= 5;(t)建模是有利的,因为它的单调递减特性可确保= 5;(t)在任何时间段内都是可积分的。文献中提供了几种基于能量存储和耗散元件简单组合的等效电路,它们能够建模= 5;(t)。麦克斯韦梯形结构是用于各种聚合物电介质以及油纸绝缘的电介质响应建模的广泛使用的两参数等效电路之一。本文表明,为了更准确地建模并更好地理解复杂绝缘系统(如在温度梯度下运行的高压设备的油纸绝缘)的介电响应,必须对Maxwell模型进行修改。所提出的模型类似于经典的麦克斯韦电路,也由许多平行分支组成,但是与前者不同,所提出的模型认为每个平行分支不仅由一个指数函数组成,而且还由许多指数函数组成。

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