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A galerkin moment method for the analysis of insulated wires above a lossy half-space

Utilisation de la méthode des moments de galerkin pour l’analyse des fils minces isolés en présence d’un demi-espace dissipatif

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Abstract

In this paper, an efficient method is proposed for the analysis of insulated wires above a lossy half-space. The reaction concept is used to formulate the electromagnetic boundary value problem. The solution is a Galerkin moment method solution with piecewise sinusoids as basis and testing functions. The influence of lossy half-space is taken into account via equivalent images, and the currents of images are related to the source current. The dielectric coating is modeled by equivalent volume polarization currents, which are simply related to the conduction current distribution. In this way, the dielectric-coating and lossy half-space cause no new unknowns to the problem solution, the size of the impedance matrix for insulated wires above lossy ground is the same as that of bare wires in free space. The insulation is accounted for entirely through a modification of the symmetric impedance matrix. The results obtained exhibit excellent agreement with those by rigorous method or experiments.

Résumé

Dans cet article, on propose une méthode efficace pour l’analyse des fils isolés audessus d’un demi-espace dissipatif. Le théorème de compensation est utilisé pour formuler le problème des conditions aux limites. On utilise la méthode des moments de Galerkin avec des fonctions de base et de test sinusoïdales. L’influence du demi-espace dissipatif est prise en compte par la méthode des images et les courants images correspondent au courant source. Le revêtement diélectrique est modélisé par des courants de polarisation volumiques équivalents, ils sont simplement fonction de la répartition des courants de conduction. De cette manière, l’isolant diélectrique et le demi-espace dissipatif n’introduisent pas de nouvelles inconnues pour résoudre le problème, la taille de la matrice d’impédance pour les fils isolés au-dessus du sol est identique à celle des fils nus dans l’espace libre. Le diélectrique est pris en compte en modifiant la matrice d’impédance qui reste symétrique. Les résultats obtenus sont en parfaite corrélation avec ceux issus des méthodes rigoureuses ou de l’expérimentation.

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Correspondence to Xianshan Li.

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Xianshan Li: received in Power Systems and Its Automation the BS from the China Huazhong University of Science and Technology in 1987 and MS from North China University of Electrical Power in 1990. He was an associate professor in China Three Gorges University (1998–2000). Now he is working for PhD in Blaise Pascal University, Clermont-Ferrand. His main research area is the analysis and numerical modeling for EMC in power systems and communication systems.

Khalil El Khamlichi Drissi: received MS-Eng (1987) and PhD (1990) degrees in Electronics respectively from «École Centrale de Lille» and from the University of Lille «USTLFA». He is now associate professor in the electrical engineering department of the CUST, Clermont-Ferrand. His main research is EMC in Power Electronics, EMI reduction and Power Converter control.

Françoise Paladian: received PhD (1985) in Electronics from the Blaise Pascal Undiversity (BPU), Clermont-Ferrand. She is a professor in physics department of BPU. Her research are concerns the numerical methods in EMC and reverberating chambers.

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Li, X., El Khamlichi Drissi, K. & Paladian, F. A galerkin moment method for the analysis of insulated wires above a lossy half-space. Ann. Télécommun. 58, 1157–1177 (2003). https://doi.org/10.1007/BF03001875

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  • DOI: https://doi.org/10.1007/BF03001875

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