Abstract
In this paper, we investigate the application of the adaptive higher-order Finite Element Method (hp-FEM) to heat transfer problems in electrical engineering. The proposed method is developed based on the combination of the Delaunay mesh and higher-order interpolation functions. In which the Delaunay algorithm based on the distance function is used for creating the adaptive mesh in the whole solution domain and the higher-order polynomials (up to 9th order) are applied for increasing the accuracy of solution. To evaluate the applicability and effectiveness of this new approach, we applied the proposed method to solve a benchmark heat problem and to calculate the temperature distribution of some typical models of buried double- and single -circuit power cables in the homogenous and multi-layer soils, respectively.
Highlights
The underground cables system, which is one of main transmission and distribution systems of power systems, is used by the power companies and industry in densely populated cities instead of overhead lines even its installation and maintenance are more expensive and complicated
We have proposed an approach of the hpFEM that is the combination of the adaptive Delaunay mesh and higher-order interpolation functions
In order to demonstrate the advantage and applicability of this method, we have used it to test on the benchmark heat problem and to calculate the steady-state thermal distribution of some typical power cable systems buried in the homogenous and multi-layer soils
Summary
The underground cables system, which is one of main transmission and distribution systems of power systems, is used by the power companies and industry in densely populated cities instead of overhead lines even its installation and maintenance are more expensive and complicated. The thermal field computation of buried power cables is a very important task of many power engineers, researchers and manufactures all over the world This problem is solved by using the analytical and/or numerical methods. The application of the hp-FEM to heat transfer problems is very rare For this reason, we have proposed an approach of the hpFEM that is the combination of the adaptive Delaunay mesh and higher-order interpolation functions. In order to demonstrate the advantage and applicability of this method, we have used it to test on the benchmark heat problem and to calculate the steady-state thermal distribution of some typical power cable systems buried in the homogenous and multi-layer soils. It has shown that the solutions of the higher-order FEM are much more accurate than the one of the 1st-order FEM
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