Numerical Simulation of Effects of Building Tip on Atmospheric Electric Field Distortion

Guo Xiufeng; Tan Yongbo; Guo Fengxia; Shi Zheng; Wang Ningning

Vol.24, NO.2, 2013

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Guo Xiufeng, Tan Yongbo, Guo Fengxia, et al. Numerical simulation of effects of building tip on atmospheric electric field distortion. J Appl Meteor Sci, 2013, 24(2): 189-196.

Citation:

Guo Xiufeng, Tan Yongbo, Guo Fengxia, et al. Numerical simulation of effects of building tip on atmospheric electric field distortion. J Appl Meteor Sci, 2013, 24(2): 189-196.

Guo Xiufeng, Tan Yongbo, Guo Fengxia, et al. Numerical simulation of effects of building tip on atmospheric electric field distortion. J Appl Meteor Sci, 2013, 24(2): 189-196.

Citation:

Guo Xiufeng, Tan Yongbo, Guo Fengxia, et al. Numerical simulation of effects of building tip on atmospheric electric field distortion. J Appl Meteor Sci, 2013, 24(2): 189-196.

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Numerical Simulation of Effects of Building Tip on Atmospheric Electric Field Distortion

Guo Xiufeng^1,2,
Tan Yongbo^1,2,
Guo Fengxia^{1,2
,
,},
Shi Zheng^1,2,
Wang Ningning^1,2

1.
Key Laboratory of Meteorological Disaster of Ministry of Education, Nanjing University of Information Science & Technology, Nanjing 210044
2.
School of Atmospheric Physics, Nanjing University of Information Science & Technology, Nanjing 210044

Received Date: 2012-05-24
Rev Recd Date: 2013-01-10
Publish Date: 2013-04-30

Abstract

Abstract

The effects of building tip on atmospheric electric field distortion are an important part of atmospheric electricity, especially in the research of corona layer above the inhomogeneous underlying surface, upward lightning leader and even upward lightning initiated from tall building, and also an influencing factor in lightning protection. For the account that the existing measurements are ineffectual in measuring the electric intensity above the tip, numerical simulation becomes very helpful.Assuming the building to be an ideal conductor and fully connected with earth and the potential is 0, which satisfies the Dirichlet boundary condition; three other air boundaries all satisfying Numann boundary condition and the electric potential gradient on these boundaries are constants. A two-dimensional finite difference method of calculation is used to obtain the potential distribution around the building and electric intensity near the tip in further. What's more, the two-dimensional finite difference equation is solved by successive over-relaxation method.The effects on the atmospheric electric field distortion by the height, width and location of building's tip are discussed, respectively. The result shows that λ_i (maximum distort coefficient of electric field) is linearly increasing with height and the slope of linear equation is decreasing with width. λ_i shows symmetrical increasing trend when the tip is located from the center to the each edge on the roof of a structure. It grows evidently with the increasing height of structure. Furthermore, λ_i is declined exponentially with the tip width, particularly when less than five meters, λ_i has a sensitive response to width, and the effect on λ_i by width is more obviously presented with the increasing height. Taking no account of the extinction effect of corona layer, electric field intensification shows much greater on the top when the structure is taller and thinner. In actual problems, the effects on electric field distortion mainly depend on the structure height when the top is flat. But when there is an obvious tip such as lightning conductor and so on, the height, width and location of tip should be taken into consideration.
- distortion of atmospheric electric field;
- characteristics of tip;
- tall building;
- numerical simulation

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References(34)

Figures and Tables

Fig. 1 Building model

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图 2 不同尖端高度周围大气电场的电位等值线分布 (单位：kV)

(a) 尖端高度为530 m, (b) 尖端高度为230 m

Fig. 2 Plot of equipotentials around building and tip in different heights under the atmospheric electric field (unit:kV)(a) the height of tip is 530 m, (b) the height of tip is 230 m

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Fig. 3 Variation of E/E₀ with H_T when the structure width are fixed at 100 m, 50 m and 30 m, respectively

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图 4 不同尖端宽度周围大气电场的电位等值线分布 (单位：kV)

(a) 尖端宽度为1 m, (b) 尖端宽度为30 m

Fig. 4 Plot of equipotentials around building and tip in different widths under the atmospheric electric field (unit:kV)(a) the width of tip is 1 m, (b) the width of tip is 30 m

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Fig. 5 Variation of E/E₀ with w when tip on the ground (H_T=30 m)

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Fig. 6 Variation of E/E₀ with w by buildings with different heights

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图 7 不同尖端位置周围大气电场的电位等值线分布 (单位：kV)

(a) 尖端设置于顶面的左边界上，(b) 尖端设置与顶面的中间部分

Fig. 7 Plot of equipotentials around building and tip in different tip locations under the atmospheric electric field (unit:kV)

(a) the tip locates at the left edge of the roof, (b) the tip locates at the center of the roof

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Fig. 8 Variation of E/E₀ with tip location by buildings with different heights of the structure

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Table 1 The constant values of fitting equation of λ_i and H_T by buildings with different widths

W/m	a	b
30	2.3574	0.097
50	2.4849	0.092
100	2.5462	0.090

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Table 2 The constant values of fitting equation of λ_i and w by buildings with different heights

H/m	a	t	b	R²
0	3.10802	4.62834	4.75243	0.988
100	10.63255	4.54626	12.74505	0.989
300	25.55048	4.46437	28.78252	0.990
500	40.37338	3.89759	46.42381	0.995

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Table 3 The constant values of fitting equation of λ_i and s by buildings with different heights

H/m	a	b	c	R²
500	0.00228	-0.22207	78.69342	0.983
300	0.00137	-0.13339	50.20669	0.982

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