Abstract
Abstract. In this contribution, similarities and differences between electrical and thermal effects on cables are investigated. In the electrical transmission line theory, a wide variety of methods is known to describe the voltage and current along cables. The potential for the adaption of some of those methods to thermal problems is discussed. Exemplarily, for an unshielded single cable, an analytical solution based on the Laplace transform and an approach based on cascaded equivalent circuits are compared with a numerical reference solution and measurement results.
Highlights
Because of the rising complexity of electric systems, more and more cables are necessary for the power supply of different components
Derating of the temperature sensitive insulation materials can lead to critical failures, and monitoring of cable temperatures is essential to prevent the insulation from damages by too high temperatures
Dimensioning of insulation geometry and materials is mostly done by calculations based on the heat transfer differential equation
Summary
Because of the rising complexity of electric systems, more and more cables are necessary for the power supply of different components. In safety-critical environments, where overload situations should be tolerated as far as possible, and a hard interruption of the power supply has to be avoided, the use of smart fuses may drastically enhance the reliability of the complete system. Based on a thermal model of the cable and current measurements, the cable insulation temperature is calculated in real time and a semiconductor or a relay is used to interrupt the circuit in case of too high temperature. In this contribution, the adaption of methods from the electrical TL theory to the thermal domain is investigated. The potential for the adaption of methods known from the electrical TL theory to describe thermal effects on cables is shown in Sect. The potential for the adaption of methods known from the electrical TL theory to describe thermal effects on cables is shown in Sect. 5 using an example: for an unshielded single cable, two methods based on known electrical methods are validated using a numerical reference solution and measurement results
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