Guo Xiufeng, Zhao Nian, Gao Yue, et al. Influences of building slope angle on the initiation of stable upward leader. J Appl Meteor Sci, 2024, 35(6): 692-703. DOI:  10.11898/1001-7313.20240605.
Citation: Guo Xiufeng, Zhao Nian, Gao Yue, et al. Influences of building slope angle on the initiation of stable upward leader. J Appl Meteor Sci, 2024, 35(6): 692-703. DOI:  10.11898/1001-7313.20240605.

Influences of Building Slope Angle on the Initiation of Stable Upward Leader

DOI: 10.11898/1001-7313.20240605
  • Received Date: 2024-06-12
  • Rev Recd Date: 2024-09-24
  • Publish Date: 2024-11-30
  • The slope angle (or top angle) of the building significantly influences the formation of upward leader. To simulate the lightning strike process on tall and sloping building using three-dimensional variable grid leader model, the influence of slope angle (θ) on the initiation of stable upward leaders is analyzed, focusing on various building heights (Hb) and peak values of lightning current (Ip). It can be concluded from data that, when the peak lightning current is held constant, reducing the building height and increasing the building width result in an enhanced influence of the slope angle on stable upward leader inception (η), which in turn makes it increasingly challenging to incept. When the height of building is held constant, a reduction in the peak value of lightning current enhances the influence of slope angle on the inception of stable upward leaders (η). This, in turn, makes the inception process increasingly challenging. Changes in building width have a lesser impact on the initiation of the upward leader compared to building height. As heights of buildings and peak values of lightning currents increase, the influence of slope angle on the initiation of stable upward leader becomes less significant. By conducting a multiple linear regression analysis with η as the dependent variable and slope angle (θ), building height (Hb), and peak lightning current (Ip) as independent variables. Results indicate that Ip and Hb have a significant negative effect on η, whereas θ has a positive effect on η. The degree of influence on η is as follows: Ip has the greatest influence, followed by θ, while Hb has the least influence. The influence of slope angle on the inception of stable upward leaders, represented by the parameter η, is significant for building heights below 100 m and peak lightning current values below 40 kA, with the estimated effect exceeding 23.32%. In contrast, for building heights exceeding 500 m and peak values of lightning current above 100 kA, the impact of slope angle on stable upward leader inception is relatively minimal, with an estimated effect of less than 15.88%, in the case, the distinction between the impact of sloped buildings and rectangular buildings on the inception of stable upward leader is sufficiently marginal to enable an approximate analytical approach.
  • Fig. 1  Slope-type buildings

    (a)three-dimensional appearance of slope building,(b)side of slope building

    Fig. 2  Height of downward leader head from ground and length of upward leader head streamer change with time

    Fig. 3  Under the condition of building height of 100 m and lightning current peak of 20 kA, influence of slope angle on the height of downward leader head from ground

    (the grey denotes passing the test of 0.05 level)

    Fig. 4  Influence of different downward leader development speeds on stable upward leader initiation time and upward leader development speed

    Fig. 5  Influence of different downward leader development speed on height from head of downward leader to ground and initiation criterion of upward leader

    Fig. 6  Influence of building height and angle on η when peak value of lightning current is 20 kA

    Fig. 7  Influence of slope building height on the initiation of leader when peak value of lightning current is 20 kA and slope angle is 15°

    Fig. 8  Influence of building width on η

    Fig. 9  Influence of building slope angle on η under different lightning current peaks

    Fig. 10  Influence of lightning current peak on height of downward leader head from ground

    Fig. 11  Box plot of η distribution of buildings with different slope angles

    Fig. 12  Box plot of ηr distribution of buildings with different slope angles

  • [1]
    Wang D, Takagi N, Watanabe T, et al.Observed characteristics of upward leaders that are initiated from a windmill and its light-ning protection tower.Geophys Res Lett, 2008, 35(2):196-199.
    [2]
    Saba M M F, Lauria P B, Schumann C, et al. Upward leaders initiated from instrumented lightning rods during the approach of a downward leader in a cloud-to-ground flash. J Geophys Res Atmos, 2023, 128(8). DOI:  10.1029/2022JD-038082.
    [3]
    Guo X F, Tan Y B, Guo F X, et al. Numerical simulation of effects of building tip on atmospheric electric field distortion. J Appl Meteor Sci, 2013, 24(2): 189-196. http://qikan.camscma.cn/article/id/20130207
    [4]
    Qi Q, Lyu W, Wang D, et al. Two-dimensional striking distance of lightning flashes to a cluster of tall buildings in Guangzhou. J Geophys Res Atmos, 2021, 126(22). DOI:  10.1029/2021JD034613.
    [5]
    Wu S S, Lü W T, Qi Q, et al. Characteristics of downward cloud-to-ground lightning flashes around canton tower based on optical observations. J Appl Meteor Sci, 2019, 30(2): 203-210. doi:  10.11898/1001-7313.20190207
    [6]
    Ullah I, Bahrom M N R B, Khan M A, et al. An experimental study of electromagnetic field propagation due to lightning up-ward leaders and its probability on different small-scale structures. Energies, 2022, 15(18). DOI:  10.3390/en15186597.
    [7]
    Fan J L, Tan Y B, Yu J H, et al. Analysis of annual lightning strikes of tall buildings based on the multiple upward leaders three-dimensional model. Sci Technol Eng, 2023, 23(20): 8560-8569.
    [8]
    Guo X F, Gao Y, Zhang L, et al. 3D simulation research on the effect of geometric characteristics of building tip on the initiation of upward leader. Sci Technol Eng, 2024, 24(15): 6154-6163.
    [9]
    Tan Y B, Chen Z L, Zhang D D, et al. Simulation on the stroke protection distance of tall buildings to surrounding buildings. J Appl Meteor Sci, 2016, 27(4): 498-505. doi:  10.11898/1001-7313.20160413
    [10]
    Tan Y B, Zhang D D, Zhou B W, et al. A numerical study on characteristics of cloud-to-ground lightning near surface configura-tion. J Appl Meteor Sci, 2015, 26(2): 211-220. doi:  10.11898/1001-7313.20150209
    [11]
    Tan Y B, Zhou B W, Guo X F, et al. A numerical simulation of the effects of building height on single upward lightning trigger and propagation. Acta Meteor Sinica, 2015, 73(3): 546-556.
    [12]
    Tan Y B, Zhang X, Xiang C Y, et al. Three-dimensional numerical simulation of side flash on buildings. J Appl Meteor Sci, 2017, 28(2): 227-236. doi:  10.11898/1001-7313.20170210
    [13]
    Wang X W, Tan Y B, Lin Y H, et al. Optimization and simulation of leader propagation rate ratio in multiple upward leader model. J Appl Meteor Sci, 2024, 35(2): 237-246. doi:  10.11898/1001-7313.20240209
    [14]
    Wu M, Tan Y B, Lin Y H, et al. Three-dimensional numerical simulation of the protective effect of tall building on short build-ing. J Appl Meteor Sci, 2023, 34(6): 749-758. doi:  10.11898/1001-7313.20230610
    [15]
    Guo X F, Ji Z Y, Gao Y, et al. 3D corona discharge model and its use in the presence of wind during a thunderstorm. Front Environ Sci, 2022, 10. DOI:  10.3389/fenvs.2022.946020.
    [16]
    Zhang D D. Numerical Simulation of Lightning Connection Process Based on Tip Electric Field Distortion. Nanjing: Nanjing University of Information Science & Technology, 2015.
    [17]
    Pei X F, Ding J, Guo X F, et al. Effect of spatial resolution on numerical simulation of upward leader initiation process. Sci Technol Eng, 2022, 22(10): 3876-3884.
    [18]
    Cooray V, Rakov V, Theethayi N. The lightning striking distance-Revisited. J Electrost, 2007, 65(5/6): 296-306.
    [19]
    Guan Y N, Lü W T, Qi Q, et al. Difference between 2D and 3D development characteristics of an upward lightning leader. J Appl Meteor Sci, 2023, 34(5): 598-607. doi:  10.11898/1001-7313.20230508
    [20]
    Xu W Q, Lü W T, Qi Q, et al. Luminosity and current characteristics of metal-vaporized channel of an artificially triggered lightning. J Appl Meteor Sci, 2023, 34(6): 739-748. doi:  10.11898/1001-7313.20230609
    [21]
    Guo Z X. Polarity Effect and Risk Assessment Method of Lightning Stroke on Large Fan Blades. Beijing: North China Electric Power University, 2020.
    [22]
    Gallimberti I. The mechanism of the long spark formation. J Phys Colloques, 1979, 40(C7): C7-193-C7-250.
    [23]
    Goelian N, Lalande P, Bondiou-Clergerie A, et al. A simplified model for the simulation of positive-spark development in long air gaps. J Phys D Appl Phys, 1997, 30(17): 2441-2452.
    [24]
    Becerra M, Cooray V. A simplified physical model to determine the lightning upward connecting leader inception. IEEE Trans Power Deliv, 2006, 21(2): 897-908.
    [25]
    Becerra M. Glow corona generation and streamer inception at the tip of grounded objects during thunderstorms: Revisited. J Phys D: Appl Phys, 2013, 46(13). DOI:  10.1088/0022-3727/46/13/135205.
    [26]
    Guo Z X, Li Q M, Yu W S, et al. The dynamic critical length criterion of initial streamer for the stable upward leader inception under negative lightning strikes. Proc CSEE, 2020, 40(5): 1713-1722.
    [27]
    Warner T A. Upward Leader Development from Tall Towers in Response to Downward Stepped Leaders//2010 30th International Conference on Lightning Protection(ICLP). Cagliari, Italy, IEEE, 2010: 1-4.
    [28]
    Saba M M F, Paiva A R, Schumann C, et al. Lightning attachment process to common buildings. Geophys Res Lett, 2017, 44(9): 4368-4375.
    [29]
    Lü W T, Chen L W, Ma Y, et al. Advances of observation and study on tall-object lightning in Guangzhou over the last decade. J Appl Meteor Sci, 2020, 31(2): 129-145.
    [30]
    Guo X F, Ji Z Y, Gao Y, et al. Effects of positive corona on upward leader initiation from tall building by 3D numerical simulation. Atmos Res, 2023, 291. DOI:  10.1016/j.atmosres.2023.106822.
    [31]
    Qi Q, Lü W T, Wu B, et al. Two-dimensional optical observation of striking distance of lightning flashes to two buildings in Guangzhou. J Appl Meteor Sci, 2020, 31(2): 156-164. doi:  10.11898/1001-7313.20200203
    [32]
    Wang X J, Hua L Y, Wang B H, et al. Spectral correction impacts of lightning from tall buildingson channel temperature inver-sion. J Appl Meteor Sci, 2024, 35(4): 493-501. doi:  10.11898/1001-7313.20240409
    [33]
    Li D, Zhang Y J, Lü W T, et al. A 3D self-consistent propagation model of the lightning leader. J Appl Meteor Sci, 2015, 26(2): 203-210. doi:  10.11898/1001-7313.20150208
    [34]
    Xie S J, He J J, Chen W J, et al. Simulation study on the development process of the upward leader incepted from lightning rod. Proc CSEE, 2012, 32(10): 32-40;6.
    [35]
    Guo X F. Numerical Simulation Study on the Influence of Spatial Resolution on the Distortion of Atmospheric Electric Field at the Tip of Buildings. Nanjing: Nanjing University of Information Science & Technology, 2013.
  • 加载中
  • -->

Catalog

    Figures(12)

    Article views (34) PDF downloads(6) Cited by()
    • Received : 2024-06-12
    • Accepted : 2024-09-24
    • Published : 2024-11-30

    /

    DownLoad:  Full-Size Img  PowerPoint