基于Runge-Kutta法的高压电缆导体温度计算

Calculation of HV cables core's temperature based on Runge-Kutta method

为了解决电缆导体温度不能直接准确测量和电缆敷设环境给导体温度准确计算带来困难的问题,通过实时监测电缆表面温度,建立了电缆导体温度实时计算热路模型,采用Runge-Kutta法求解微分方程组计算出导体温度。通过搭建电缆温升实验平台,对比计算结果与实验结果得知,基于表面温度的监测实时计算电缆导体温度具有较高的精度,能满足运行中电缆的状态监测和故障预警等方面的需求。

To solve the problems of cable core＇s temperature calculation,including the indirect measure ment and the influence of cable laying environment on the temperature,this paper established the real time thermal circuit model of cable core＇s temperature based on the real- time monitoring of cable surface temperature,and calculated the core temperture by solving differential equations with Runge- Kutta method. By comparing the results of calculation and experiment through the established cable temperature rise platform,it is proved that the the temperature calculation based on the real- time monitoring of surface temperature enjoys higher accuracy,which meets the requirements for state monitoring and fault early warning.