研究目的
To address the calculation of the field enhancement from semiconductive protrusions in high voltage polymeric cables and to compare the Larmor and Mason formulas for estimating the electric field enhancement.
研究成果
The Mason equation is not valid for estimating field enhancement from semiconductive protrusions in power cables. The Larmor equation, extended by a new solution to the Laplace equation, is the best available formula for calculating field enhancement from semiconductive protrusions in high voltage cables, applicable to spheroidal protrusions of all shapes.
研究不足
The Larmor formula is initially limited to sharp protrusions (small tip radius), which are not representative for the majority of protrusions found in power cables. The Mason formula, while not having this restriction, is derived for needle-plane geometries and is not valid for protrusions extending into the insulation from a conductive plane.
1:Experimental Design and Method Selection:
The paper compares the Larmor and Mason formulas for calculating the field enhancement factor at the tip of semiconductive protrusions in high voltage cables. It introduces a new solution to the Laplace equation to extend the Larmor equation to spheroidal protrusions of all shapes.
2:Sample Selection and Data Sources:
The study uses theoretical models and analytical solutions to the Laplace equation for spheroidal and hyperboloidal geometries.
3:List of Experimental Equipment and Materials:
Not applicable as the study is theoretical.
4:Experimental Procedures and Operational Workflow:
The paper presents a theoretical analysis comparing the Larmor and Mason formulas and introduces a new solution to the Laplace equation.
5:Data Analysis Methods:
The analysis is based on the comparison of field enhancement factors calculated using the Larmor and Mason formulas for different protrusion shapes and sizes.
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