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Finite element analysis of total electric field distribution on the roof of flat-roofed buildings near HVDC lines

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Abstract

The total electric field on the roof platform of buildings becomes a new and important indicator of the environmental assessment of HVDC projects. In this paper, the upper-stream finite element method is used to simulate and calculate the distribution characteristics of the total electric field on the roof platform of the flat-roofed building adjacent to an HVDC line, from the factors of material conductivity and three-dimensional structure. The results show that when the conductivity of the building is greater than 10−10 S/m, it can be regarded as an equipotential body with the ground. Therefore, when the field mill measures the electric field on the roof platform, the field mill can be connected to the building to achieve the purpose of grounding. Otherwise, additional appropriate grounding treatment is required. Moreover, the protrusions such as parapets and stairwells on the roof platform of the building have both distortion and shielding effects on the total electric field. The larger the area of the protrusions, the better the shielding effect, making the total electric field on the roof platform weaker. Therefore, when measuring the total electric field on the roof platform, to avoid the unpredictability of the measurement results of the field mill, the field mill should be arranged in the center flat area at least 2 m away from the protrusions.

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Abbreviations

HVDC:

High-voltage direct current transmission

\(\varphi_{{\text{a}}}\) :

Potential in the air domain

\(\varphi_{{\text{c}}}\) :

Potential in the building domain

\(\varepsilon_{0}\) :

The dielectric constant of air

\(\rho_{ + }\) :

The density of positive particles

\(\rho_{ - }\) :

The density of negative particles

\(\rho_{{\text{s}}}\) :

The accumulated charge density at the interface between the air domain and the building domain

\({\varvec{E}}_{{\text{a}}}\) :

The vector of the electric field strength in air domain

\({\varvec{E}}_{{\text{b}}}\) :

The vector of the electrostatic field strength in building domain

\({\varvec{J}}_{ + }\) :

The ion flow density vectors formed by positive particles

\({\varvec{J}}_{ - }\) :

The ion flow density vectors formed by negative particles

\(k_{ + }\) :

The mobility of positive particles

\(k_{ - }\) :

The mobility of negative particles

\({\varvec{W}}\) :

The wind speed vector

\(R_{ + }\) :

The recombination coefficients of positive particles

\(R_{ - }\) :

The recombination coefficients of negative particles

\(e\) :

The charge per electron

\({\varvec{e}}_{{\text{n}}}\) :

The unit normal vector

\({\varvec{J}}_{{\text{a}}}\) :

The current density vector of the ion flow field

\({\varvec{J}}_{{\text{b}}}\) :

The current density vector of the electrostatic field

\(\gamma_{{\text{a}}}\) :

The equivalent conductivity of the air

\(\gamma_{{\text{b}}}\) :

The conductivity of the building

\(\lambda\) :

The correction factor \(0 \le \lambda \le 1\)

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Funding

This study is supported by the Science and Technology Foundation of State Grid Corporation of China (Grant No. 5500-202155496A-0–5-ZN).

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Author notes

  1. Zhenghai Liao and Jilai Xu have contributed to the work equally and should be regarded as co-first authors.

Authors and Affiliations

  1. State Key Laboratory of Power Grid Environmental Protection, China Electric Power Research Institute, Wuhan, 430074, China

    Zhenghai Liao, Jilai Xu, Baoquan Wan, Zheyuan Gan, Yanzhao Wang & Ni Li

  2. State Grid Nanjing Power Supply Company, Nanjing, 210000, China

    Yang Liu & Tao Long

Authors
  1. Zhenghai Liao
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Contributions

ZL wrote the main manuscript text. JX, ZL, YW, and ZG put forward the methodology and made a preliminary analysis. BW, ZG, and YL provided technical guidance and funding acquisition. BW provided conceptualization, resources, and supervision. JX, ZL, and Ni Li prepared the figures. TL and YL verified the manuscript. All authors reviewed the manuscript.

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Correspondence to Baoquan Wan.

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Liao, Z., Xu, J., Wan, B. et al. Finite element analysis of total electric field distribution on the roof of flat-roofed buildings near HVDC lines. Electr Eng 105, 1153–1162 (2023). https://doi.org/10.1007/s00202-022-01722-1

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