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Fractional order equivalent series resistance modelling of electrolytic capacitor and fractional order failure prediction with application to predictive maintenance

机译:电解电容器的分数阶等效串联电阻建模和分数阶故障预测及其在预测维护中的应用

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摘要

Being one of the most used passive components in power electronics, electrolytic capacitors have the shortest life span due to their wear-out failure which is mainly caused by vaporisation and deterioration of capacitor electrolyte. Knowing these two phenomena increase equivalent series resistance (ESR) of the capacitor, tracking ESR value over the system operating time can be a good indicator for state of health of an electrolytic capacitor. To set the maintenance schedule, various ESR monitoring algorithms have been investigated in literature. These classical real-time algorithms lead the maintenance program to be either risky if the prediction is longer than the actual life-time or more expensive if it is shorter than the actual life span. This study presents a generalised equivalent model using fractional order (FO) element for electrolytic capacitor to estimate the ESR and impedance of faultless running capacitor. Furthermore, a novel failure predictive model using Mittag-Leffler function is proposed to track the ESR increment and estimate the failure time. Hence, the predictive maintenance of the system with capacitors nearing their failure time can be set more precisely. These two FO models are compared against classical ESR and life-time prediction models to illustrate the enhanced performances of the proposed models.
机译:作为电力电子设备中最常用的无源组件之一,电解电容器的寿命短,这是由于电容器的蒸发和电容器电解质的劣化导致的寿命最短。知道这两种现象会增加电容器的等效串联电阻(ESR),因此在系统工作时间内跟踪ESR值可以很好地表明电解电容器的健康状态。为了设定维护时间表,文献中对各种ESR监控算法进行了研究。这些经典的实时算法使维护程序在预测时间长于实际寿命的情况下可能会冒险,而在预测时间短于实际寿命的情况下则会变得更加昂贵。本研究提出了一种使用分数阶(FO)元素的电解电容器通用等效模型,以估计无故障运行电容器的ESR和阻抗。此外,提出了一种使用Mittag-Leffler函数的新型故障预测模型来跟踪ESR增量并估计故障时间。因此,可以更精确地设置电容器接近故障时间的系统的预测性维护。将这两个FO模型与经典ESR和寿命预测模型进行比较,以说明所提出模型的增强性能。

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