Wang Xuewen, Tan Yongbo, Lin Yuhe, 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.
Citation: Wang Xuewen, Tan Yongbo, Lin Yuhe, 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.

Optimization and Simulation of Leader Propagation Rate Ratio in Multiple Upward Leader Model

DOI: 10.11898/1001-7313.20240209
  • Received Date: 2023-11-29
  • Rev Recd Date: 2024-01-25
  • Publish Date: 2024-03-27
  • During the process of cloud-to-ground lightning connection, the propagation of downward leader to the near-ground area can elevate the electric field at one or several points on the surface of ground tip object to the breakdown threshold of surrounding air, initiating one or more upward leaders, which are known as multiple upward leaders. The emergence of tall buildings has led to an increase in the number of observations of upward lightning strikes on different buildings or the same building. The presence of multiple upward leaders means that multiple parts of the building may be struck. Conducting simulation experiments to study the mechanism of the multiple upward leader phenomenon is of great significance for developing lightning protection. The relative velocity ratio of the downward and upward leaders may be one of the key factors in the lightning connection process. The relative speed ratio of leader propagation in random lightning connection mode cannot accurately describe the relative distance ratio of downward and upward leader propagation. Taking into account the optical observation facts and the electric field environment during thunderstorms, the background electric field module setting is improved on the basis of the existing three-dimensional random mode for multiple upward leaders. It also incorporates a relative propagation speed module for the downward negative and upward positive leaders, establishing the relative propagation speed of leaders according to their propagation distance. Applying the new model to simulate multiple upward leader phenomena triggered by a flat-roofed single building, compared with the previous version, parameters of the new model, such as flash distance and upward leader length, show better consistency with natural lightning. On this basis, the lightning connection process on the high-rise buildings in the Pearl River New Town is simulated, and the improved model can more accurately replicate the lightning occurrence patterns of complex buildings. Characteristic parameters of lightning strikes on urban building clusters are mainly determined by factors such as the shape characteristics, relative position, and relative height of each building. The distance at which lightning strikes buildings is positively correlated with their height. The probability of lightning strikes, the distance of lightning strikes, and other parameters of buildings with similar shapes in the same building group are relatively consistent during ground lightning activities. However, there are still special events that occur when a branch of the downward leader is in close spatial proximity to the building, causing the upward leader to initiate at the top of the building and connect to it.
  • Fig. 1  Schematic diagram of relative development of leaders

    (the black geometric body denotes the building, the blue line denotes the development for downward negative leader, the black line denotes the development of a positive leading channel for the upward positive leader, the red line denotes the new development of downward and upward leader points within this time step)

    Fig. 2  Comparison of simulated cloud-to-ground lightning cases before and after model modification

    (the black geometric body denotes the building, the blue line denotes the downward negative leader, the red line denotes the upward positive leader, similarly hereinafter) (a)before model improved, (b)after the background electric field module in the model improved, (c)after the background electric field and leader relative propagation module of the model improved

    Fig. 3  Simulation of a cloud-to-ground lightning case

    Table  1  Statistical results of striking distance and upward leader length at different building heights before and after model improved

    建筑物高度/m 闪击距/m 上行先导最大长度/m
    改进前 改进后 改进前 改进后
    100 25~166.6 89.2~229.9 5~76 79~187
    200 25~261.2 263.9~456.7 12~159 165~282
    300 30~306.8 332.8~520.8 17~267 213~418
    400 30~317.1 404.4~613.8 22~345 376~489
    500 30~330.2 412.4~737.0 21~378 405~549
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    Table  2  Comparison of observations and simulation results of high-rise buildings in the Pearl River New Town, Guangzhou

    建筑物 高度/m 观测 模拟
    平均2D闪击距/m 仅1个上行连接先导的概率/% 平均3D闪击距/m 仅1个上行连接先导的概率/%
    广州塔 600 920 82 679.8 73
    东塔 530 280 36 344.3 14
    西塔 440 590 89 205.0 58
    广晟国际大厦 360 530 91 367.9 84
    珠江城 318 244.8 20
    利通大厦 310 241.0 0
    越秀金融大厦 310 175.5 0
    富力盈凯大厦 303
    DownLoad: Download CSV
  • [1]
    Qie X S, Zhang Q L, Yuan T, et al. Lightning Physics. Beijing: Science Press, 2013.
    [2]
    Araujo L S, Guimarães M B, Pedrosa A G, et al. Assessing Events of Upward Lightning Measured at Morro do Cachimbo Station//2012 International Conference on Lightning Protection(ICLP). IEEE, 2012: 1-4.
    [3]
    Cummins K L, Krider E P, Olbinski M, et al. A case study of lightning attachment to flat ground showing multiple unconnected upward leaders. Atmos Res, 2018, 202: 169-174. doi:  10.1016/j.atmosres.2017.11.007
    [4]
    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. doi:  10.11898/1001-7313.20200201
    [5]
    Zhang Y, Lü W T, Chen L W, et al. Evaluation of GHMLLS performance characteristics based on observations of artificially triggered lightning. J Appl Meteor Sci, 2022, 33(3): 329-340. doi:  10.11898/1001-7313.20220307
    [6]
    Warner T A. Upward Leader Development from Tall Towers in Response to Downward Stepped Leaders//30th International Conference on Lightning Protection(ICLP). IEEE, 2010: 1-4.
    [7]
    Lu W T, Chen L W, Zhang Y, et al. Characteristics of unconnected upward leaders initiated from tall structures observed in Guangzhou. J Geophys Res, 2012, 117(D19). DOI:  10.1029/2012JD018035.
    [8]
    Gao Y, Lu W T, Ma Y, et al. Three-dimensional propagation characteristics of the upward connecting leaders in six negative tall-object flashes in Guangzhou. Atmos Res, 2014, 149: 193-203. doi:  10.1016/j.atmosres.2014.06.008
    [9]
    Saba M M F, Schumann C, Warner T A, et al. Upward lightning flashes characteristics from high-speed videos. J Geophys Res Atmos, 2016, 121(14): 8493-8505. doi:  10.1002/2016JD025137
    [10]
    Qi Q, Lu W T, Ma Y, et al. High-speed video observations of the fine structure of a natural negative stepped leader at close distance. Atmos Res, 2016, 178/179: 260-267. doi:  10.1016/j.atmosres.2016.03.027
    [11]
    Gao P L, Shi D D, Wu T, et al. Characteristics of the preliminary breakdown in inverted-polarity intracloud lightning flashes. J Appl Meteor Sci, 2023, 34(3): 324-335. doi:  10.11898/1001-7313.20230306
    [12]
    Yan L C, Zhang W J, Zhang Y J, et al. Temporal and spatial distribution of thunderstorms and strong winds with characteristics of lightning and convective activities in the South China Sea. J Appl Meteor Sci, 2023, 34(4): 503-512. doi:  10.11898/1001-7313.20230410
    [13]
    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
    [14]
    Arevalo L, Cooray V. Influence of Multiple Upward Connecting Leaders Initiated from the Same Structure on the Lightning Attachment Process. X International Symposium on Lightning Protection-SIPDA, 2009.
    [15]
    Cooray V, Fernando M, Arevalo L, et al. Interaction of Multiple Connecting Leaders Issued from a Grounded Structure Simulated Using a Self Consistent Leader Inception and Propagation Model(SLIM)//30th International Conference on Lightning Protection(ICLP). IEEE, 2010: 1-5.
    [16]
    Lalande P, Mazur V. A physical model of branching in upward leaders. Aerospace Lab, 2012, 5: 1-7. doi:  10.4271/2012-01-1509
    [17]
    Bazelyan E M, Raizer Y P, Aleksandrov N L, et al. Corona processes and lightning attachment: The effect of wind during thunderstorms. Atmos Res, 2009, 94(3): 436-447. doi:  10.1016/j.atmosres.2009.07.002
    [18]
    Ren X Y, Zhang Y J, Lü W T, et al. Simulation of lightning leaders and connection process with structures. J Appl Meteor Sci, 2010, 21(4): 450-457. doi:  10.3969/j.issn.1001-7313.2010.04.008
    [19]
    Ren X Y, Zhang Y J, Lü W T, et al. Establishment and application of random lightning leader model. J Appl Meteor Sci, 2011, 22(2): 194-202. doi:  10.3969/j.issn.1001-7313.2011.02.008
    [20]
    Tan Y B, Zhang D D, Zhou B W, et al. A numerical study on characteristics of cloud-to-ground lightning near surface configuration. J Appl Meteor Sci, 2015, 26(2): 211-220. doi:  10.11898/1001-7313.20150209
    [21]
    Yu J H, Tan Y B, Zheng T X, et al. A three-dimensional model establishment of multiple connecting leaders initiated from tall structures. J Appl Meteor Sci, 2020, 31(6): 740-748. doi:  10.11898/1001-7313.20200609
    [22]
    Liao Y H, Lü W T, Qi Q, et al. Simulation of various connecting patterns during the lightning connection process based on the stochastic lightning leader model. J Appl Meteor Sci, 2016, 27(3): 361-369. doi:  10.11898/1001-7313.20160311
    [23]
    Wu S S. Characteristic Analysis and Simulation of Downward Cloud-to-ground Lightning Flashes Around the Canton Tower. Beijing: Chinese Academy of Meteorological Sciences, 2019.
    [24]
    Jiang R, Lyu W, Wu B, et al. Simulation of cloud-to-ground lightning strikes to structures based on an improved stochastic lightning model. J Atmos Sol-Terr Phys, 2020. DOI:  10.1016/j.jastp.2020.105274.
    [25]
    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
    [26]
    Lei Y N, Tan Y B, Yu J H, et al. Numerical simulation on multiple upward leader attachment process of tall and low buildings. J Appl Meteor Sci, 2022, 33(1): 80-91. doi:  10.11898/1001-7313.20220107
    [27]
    Lin Y H, Tan Y B, Yu J H, et al. Improvement of three-dimensional stochastic model of ground lightning and numerical simulation of multiple uplink pilots. Acta Meteor Sinica, 2022, 80(6): 999-1008. https://www.cnki.com.cn/Article/CJFDTOTAL-QXXB202206011.htm
    [28]
    Becerra M, Cooray V. On the velocity of positive connecting leaders associated with negative downward lightning leaders. Geophys Res Lett, 2008, 35(2): 196-199.
    [29]
    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
    [30]
    Biagi C J, Uman M A, Gopalakrishnan J, et al. Determination of the electric field intensity and space charge density versus height prior to triggered lightning. J Geophys Res, 2011, 116(D15). DOI:  10.1029/2011JD015710.
    [31]
    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.
    [32]
    Eriksson A J. The incidence of lightning strikes to power lines. IEEE Trans Power Deliv, 1987, 2(3): 859-870. doi:  10.1109/TPWRD.1987.4308191
    [33]
    Dellera L, Garbagnati E. Lightning stroke simulation by means of the leader progression model. Ⅰ. Description of the model and evaluation of exposure of free-standing structures. IEEE Trans Power Deliv, 1990, 5(4): 2009-2022. doi:  10.1109/61.103696
    [34]
    Rizk F A M. Modeling of lightning incidence to tall structures. Ⅱ. Application. IEEE Trans Power Deliv, 1994, 9(1): 172-193. doi:  10.1109/61.277690
    [35]
    Ait-Amar S, Berger G. Lightning Interception on Elevated Building//Proc of 5th WSEAS Int Conf on Power Systems & EMC, 2005: 17-23.
    [36]
    Gao Y. The Three-dimensional Propagation Characteristics of Flash Leaders in the Attachment Process. Beijing: Chinese Academy of Meteorological Sciences, 2014.
    [37]
    Zhou D, Han J Q, Yang H L, et al. Structural design of Guangzhou Tower. Build Struct, 2012, 42(6): 1-12. https://www.cnki.com.cn/Article/CJFDTOTAL-JCJG201206002.htm
    [38]
    Guo X F, Zhang Q L. Effects of geometrical parameters of two height-unequal adjacent objects on corona discharges from their tips during a thunderstorm. Atmos Res, 2017, 190(6): 113-120.
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    • Received : 2023-11-29
    • Accepted : 2024-01-25
    • Published : 2024-03-27

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