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CN106056851A - Heavy rain early warning method for power grid facilities - Google Patents

Heavy rain early warning method for power grid facilities Download PDF

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CN106056851A
CN106056851A CN201610322830.5A CN201610322830A CN106056851A CN 106056851 A CN106056851 A CN 106056851A CN 201610322830 A CN201610322830 A CN 201610322830A CN 106056851 A CN106056851 A CN 106056851A
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rainfall
rainstorm
early warning
pipeline
critical
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CN106056851B (en
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吴颖晖
沈平
沈一平
潘杰
陈鹏
潘少华
张东波
陈杰
金凌鹏
丁宇海
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Hangzhou Chen Qinghe Industry Science And Technology Ltd
Taizhou Power Supply Co of State Grid Zhejiang Electric Power Co Ltd
State Grid Corp of China SGCC
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Hangzhou Chen Qinghe Industry Science And Technology Ltd
Taizhou Power Supply Co of State Grid Zhejiang Electric Power Co Ltd
State Grid Corp of China SGCC
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    • G08BSIGNALLING OR CALLING SYSTEMS; ORDER TELEGRAPHS; ALARM SYSTEMS
    • G08B21/00Alarms responsive to a single specified undesired or abnormal condition and not otherwise provided for
    • G08B21/02Alarms for ensuring the safety of persons
    • G08B21/10Alarms for ensuring the safety of persons responsive to calamitous events, e.g. tornados or earthquakes
    • YGENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
    • Y02TECHNOLOGIES OR APPLICATIONS FOR MITIGATION OR ADAPTATION AGAINST CLIMATE CHANGE
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Abstract

本发明涉及电网设施暴雨预警方法,依次包括以下步骤:致灾因子与承载体易损性分析、城市内涝评估、致灾临界雨量设定、电网灾害预警;本发明的优点:通过致灾因子与承载体易损性分析、城市内涝评估、致灾临界雨量设定、电网灾害预警的预警方法,能解决暴雨全过程中,城市积涝的提前预警的难点,并根据预警技术,解决暴雨全过程中,城市积涝范围、积涝深度,预警临界值模拟及确定等问题,有效地预测内涝灾害并减少内涝造成的财产与经济损失。

The invention relates to a rainstorm early warning method for power grid facilities, which includes the following steps in turn: analysis of disaster-causing factors and carrier vulnerability, urban waterlogging assessment, setting of disaster-causing critical rainfall, and early warning of power grid disasters; The early warning methods of carrier vulnerability analysis, urban waterlogging assessment, disaster critical rainfall setting, and power grid disaster early warning can solve the difficulty of early warning of urban waterlogging in the whole process of heavy rain, and solve the whole process of heavy rain according to the early warning technology Among them, the range of urban waterlogging, the depth of waterlogging, the simulation and determination of early warning critical values, etc., can effectively predict waterlogging disasters and reduce property and economic losses caused by waterlogging.

Description

电网设施暴雨预警方法Rainstorm early warning method for power grid facilities

技术领域technical field

本发明涉及电网设施暴雨预警方法。The invention relates to a rainstorm early warning method for power grid facilities.

背景技术Background technique

城市内涝灾害是一种普遍城市灾害类型,它给城市带来了巨大的破坏,尤其是沿海城市,常常由于台风、暴雨、海潮而引起城市内涝,导致人员伤亡和大量财产的损失,伴随着我国经济的不断增长,城市化进程在加快,城市规模在不断扩大和极端天气出现的频率增多,城市排水系统的规划很多己更不上城市化进程,快速的城市化进程与低速的排水管网改造速度直接的矛盾日益尖锐,盲目的城市化进程造成的原有的城市排水标准过低;城市硬化面积增加,渗透性变差;城市规划赶不上城市化;排水系统建设滞后,自然水塘或城市河道的消失,老城区排水设施改造困难,现有数学计算模型和GIS的空间分析应用模块来模拟内涝形成过程和灾害评估,操作时耗时多,且不能充分发挥GIS强大的空间分析功能,特别不适于进行内涝灾害的实时模拟。通常,城市内涝模型把城市地表划分为子汇水区域,但是中小规模的城市汇水区域划分不同于大规模的流域汇水区域划分,对于城市汇水区域之间的分界很难准确划分,水文学的汇水区域划分理论是建立在每个汇水区域相互独立的基础上,与实际的情况有一定出入。而且这是一种黑箱模型,在城市内涝计算过程中,只有雨量的输入和内滂结果的输出,并不能表现水流的损耗和输送过程,难以考虑影响内涝的多种因素,例如地形地表地貌因素、土地利用因素等,计算数据精度要求较高,数 据获取难度大,因此该模型在实际的应用比较困难。Urban waterlogging disaster is a common type of urban disaster, which has brought huge damage to cities, especially in coastal cities, often caused by typhoons, heavy rains, and sea tides, resulting in casualties and large property losses. With the continuous economic growth, the urbanization process is accelerating, the scale of the city is expanding and the frequency of extreme weather is increasing, and the planning of urban drainage systems is not even in the urbanization process. The rapid urbanization process and the low-speed drainage pipe network transformation The contradiction between speed and directness is becoming increasingly acute. The original urban drainage standard caused by the blind urbanization process is too low; the urban hardening area increases and the permeability becomes poor; urban planning cannot keep up with urbanization; The disappearance of drainage facilities in the old urban area is difficult. The existing mathematical calculation model and GIS spatial analysis application module are used to simulate the formation process of waterlogging and disaster assessment. The operation is time-consuming, and the powerful spatial analysis function of GIS cannot be fully utilized, which is especially uncomfortable. for real-time simulation of waterlogging disasters. Usually, the urban waterlogging model divides the urban surface into subcatchment areas, but the division of small and medium-scale urban watershed areas is different from the division of large-scale watershed watershed areas, and it is difficult to accurately divide the boundaries between urban watershed areas. The literary catchment area division theory is based on the independence of each catchment area, which is somewhat different from the actual situation. Moreover, this is a black-box model. In the calculation process of urban waterlogging, only the input of rainfall and the output of inward waterlogging results cannot represent the loss and transportation process of water flow. It is difficult to consider various factors that affect waterlogging, such as topography, surface and landform factors. , land use factors, etc., the calculation data accuracy requirements are high, and the data acquisition is difficult, so the actual application of this model is relatively difficult.

发明内容Contents of the invention

本发明要解决的技术问题是提供电网设施暴雨预警方法,解决现有城市内涝模型存在耗时长及数据获取难度大的问题。The technical problem to be solved by the present invention is to provide a rainstorm early warning method for power grid facilities, and solve the problems of long time-consuming and difficult data acquisition in existing urban waterlogging models.

为了解决上述技术问题,本发明是通过以下技术方案实现的:电网设施暴雨预警方法,依次包括以下步骤:In order to solve the above-mentioned technical problems, the present invention is achieved through the following technical solutions: a method for early warning of rainstorms in power grid facilities, which includes the following steps in turn:

a)致灾因子与承载体易损性分析:通过降雨量提取不同等级的临界降雨强度、临界降雨量、临界有效降雨量、淹没范围和淹没水深,并通过淹没范围和淹没水深来分析承载体易损性,临界降雨强度为单位时间内的降雨量,临界降雨量为一段时间内的降雨量,临界有效降雨量为反映当前降雨强度及累积降雨量使得坡体或松散物质产生或可能产生位移作用的等效降雨量,临界有效降雨量Re=Ri+Rd+Ir×t,其中:Re为有效降雨量;Ri为间接前期有效降雨量,是当日之前的降雨累积量;Rd为直接前期有效降雨量,是当日降雨量累积量;Ir为降雨强度;t为雨强为Ir的降水历时,承载体包括变电所、配电室、电缆线路及设备、配电终端设备、杆上电容器、站所建筑物、配电变压器、开关柜、环网柜、柱上开关设备;a) Disaster-causing factors and carrier vulnerability analysis: extract different grades of critical rainfall intensity, critical rainfall, critical effective rainfall, submerged range and submerged water depth through rainfall, and analyze the carrier through submerged range and submerged water depth Vulnerability, the critical rainfall intensity is the rainfall per unit time, the critical rainfall is the rainfall within a period of time, and the critical effective rainfall reflects the current rainfall intensity and cumulative rainfall that cause the slope or loose material to generate or possibly cause displacement The equivalent rainfall of action, the critical effective rainfall Re=Ri+Rd+Ir×t, where: Re is the effective rainfall; Ri is the indirect effective rainfall in the previous period, which is the accumulated rainfall before the day; Rd is the direct effective rainfall Rainfall is the cumulative amount of rainfall on the day; Ir is the rainfall intensity; t is the duration of precipitation with the rain intensity of Ir, and the carrier includes substations, power distribution rooms, cable lines and equipment, power distribution terminal equipment, capacitors on poles, Station buildings, distribution transformers, switch cabinets, ring network cabinets, pole-mounted switchgear;

b)城市内涝评估:根据步骤a)提取的降雨量分析城市内涝风险,城市内涝风险包括降雨过程、产流过程、地表汇流过程和管网汇流过程;b) Urban waterlogging assessment: analyze the urban waterlogging risk according to the rainfall extracted in step a), and the urban waterlogging risk includes the rainfall process, runoff process, surface confluence process and pipe network confluence process;

c)致灾临界雨量设定:通过统计归纳法求取暴雨电网影响的临界雨量,并判断是否超过临界降雨量,当临界雨量超过临界降雨量时,则进入步骤d),当 临界雨量未超过临界降雨量时,当则返回步骤a);c) Disaster-causing critical rainfall setting: Calculate the critical rainfall affected by the rainstorm power grid by statistical induction, and judge whether it exceeds the critical rainfall. When the critical rainfall exceeds the critical rainfall, enter step d). When the critical rainfall does not exceed When critical rainfall, then return to step a);

d)电网灾害预警:通过对步骤c)中超过临界降雨量的区域进行预警处理及确定城市易涝点的预警等级。d) Early warning of power grid disasters: through the early warning processing of the areas exceeding the critical rainfall in step c), and the determination of the early warning level of urban waterlogging points.

优选的,步骤b)中的降雨过程通过暴雨强度表述,暴雨强度包括以下步骤:Preferably, the rainfall process in step b) is expressed by rainstorm intensity, and the rainstorm intensity includes the following steps:

A暴雨资料选样:从已有的雨量资料中选取降雨事件,降雨事件的降雨历时分为5分钟、10分钟、15分钟、20分钟、30分钟、45分钟、60分钟、90分钟、120分钟,降雨事件的降雨重现期按0.25年、0.33年、0.5年、1年、2年、3年、5年和10年统计;A rainstorm data sampling: select rainfall events from the existing rainfall data, and the rainfall duration of rainfall events is divided into 5 minutes, 10 minutes, 15 minutes, 20 minutes, 30 minutes, 45 minutes, 60 minutes, 90 minutes, 120 minutes , the rainfall return periods of rainfall events are calculated according to 0.25 years, 0.33 years, 0.5 years, 1 year, 2 years, 3 years, 5 years and 10 years;

B频率分析:根据步骤A选取的暴雨资料统计暴雨强度的频率分布曲线;B frequency analysis: According to the rainstorm data selected in step A, the frequency distribution curve of the rainstorm intensity is counted;

C确定暴雨强度参数:通过步骤A和步骤B获得的频率-强度-历时关系来估计暴雨强度参数,估计方法包括最小二乘法、单纯形法、迭代法和遗传算法。C Determine the rainstorm intensity parameters: estimate the rainstorm intensity parameters through the frequency-intensity-duration relationship obtained in steps A and B, and the estimation methods include least square method, simplex method, iterative method and genetic algorithm.

优选的,步骤b)中的产流过程通过径流系数法计算,径流系数法将城市区域分为几种不同的地表类型并对每一种地表类型赋以一个系数,然后该系数乘以降雨量就得到了产流量。Preferably, the runoff process in step b) is calculated by the runoff coefficient method. The runoff coefficient method divides the urban area into several different surface types and assigns a coefficient to each surface type. Then the coefficient is multiplied by the rainfall to obtain Obtained flow.

优选的,步骤b)中的地表汇流过程为雨水径流产生后如何在地表运动,并最终通过雨水口进入排水管网的过程,地表汇流过程包括水力学模型和水文学模型,水力学模型建立在微观物理定律的基础上,依据水流的连续方程和运动方程求解水流的时空变化,雨水口汇水区内的水流运动为坡面流过程,水文学模型为建立降雨输入和流域出口流量过程的某种确定性关系。Preferably, the surface confluence process in step b) is how the rainwater runoff moves on the surface after it is generated, and finally enters the drainage pipe network through the gully. The surface confluence process includes a hydraulic model and a hydrological model. The hydraulic model is established in On the basis of microscopic physical laws, the temporal and spatial changes of water flow are solved according to the continuity equation and motion equation of water flow. The water flow movement in the catchment area of the gully is a slope flow process. a deterministic relationship.

优选的,控制坡面流运动的一维圣维南方程组为:Preferably, the one-dimensional Saint-Venant equations controlling overland flow motion are:

其中:x为水流方向,A为垂直于x轴的面积,Q为通过断面A的流量,y为断面A的水深,vx为断面平均流速,S0为地面坡度,Sf为阻力坡度,g为重力加速度,q1为下渗或降雨,阻力坡度:Among them: x is the flow direction, A is the area perpendicular to the x-axis, Q is the flow through section A, y is the water depth of section A, vx is the average flow velocity of the section, S0 is the ground slope, Sf is the resistance slope, and g is gravity Acceleration, q1 is infiltration or rainfall, resistance slope:

or or

其中:f为Weisbach阻力系数;n为Manning糙率系数;Kn为换算系数,采用国际单位制时为1,采用英制单位时则为1.486;C为Chezy系数;R为水力半径。Among them: f is the Weisbach resistance coefficient; n is the Manning roughness coefficient; Kn is the conversion factor, which is 1 when the international system of units is used, and 1.486 when the imperial unit is used; C is the Chezy coefficient; R is the hydraulic radius.

优选的,水文学模型通过时间面积图表示流域不同区域的汇流时间分布,单位脉冲响应为Preferably, the hydrological model represents the confluence time distribution in different areas of the watershed through a time-area diagram, and the unit impulse response is

其中:(t-τ)为汇流时间,dA为流域内的单位面积。Among them: (t-τ) is the confluence time, dA is the unit area in the watershed.

优选的,步骤b)中的地表汇流过程中的雨水径流路径由中心格网和八个相邻的邻域格网组成,通过邻域格网与中心格网形成的不同坡度的三角面,选择从中心格网的下坡坡度最大的三角面的坡向作为中心格网的水流方向。Preferably, the rainwater runoff path in the surface confluence process in step b) is composed of a central grid and eight adjacent neighborhood grids, and through the triangular faces of different slopes formed by the neighborhood grid and the central grid, select The aspect of the triangular surface with the largest downhill slope from the central grid is used as the water flow direction of the central grid.

优选的,雨水从中心格网汇流至邻域格网的汇流时间Preferably, the confluence time of rainwater from the central grid to the neighboring grid

其中:nm为格网区域地表的Manning糙率系数,g为DEM格网的间距,I 为净雨,Δh为由水流指向连接的两个相邻格网的高程差,k是系数,当水流方向沿着DEM格网方向时k=1,当水流方向沿着对角线方向时k=2。Among them: nm is the Manning roughness coefficient of the surface of the grid area, g is the spacing of the DEM grid, I is the net rain, Δh is the elevation difference between two adjacent grids connected by the water flow point, k is the coefficient, when the water flow k=1 when the direction is along the DEM grid direction, and k=2 when the water flow direction is along the diagonal direction.

优选的,步骤b)中的管网汇流过程中的管道水流为Preferably, the pipeline water flow in the pipe network confluence process in step b) is

Qt+Δt=C0It+Δt+C1It+C2QtQ t+Δt =C 0 I t+Δt +C 1 I t +C 2 Q t ;

其中:I为河段的上游入水流,Q为河段的上下游出水流,S为该河段内的蓄水量;Among them: I is the upstream inflow of the river section, Q is the upstream and downstream outflow of the river section, and S is the water storage capacity in the river section;

在上式中:Lg为管道长度,L为特征河长,Q0为某一水深H所对应的稳定流量,S0为底坡,B为水面宽度,C为波速,C=ηv,η为波速系数,v为断面平均速度。In the above formula: L g is the length of the pipeline, L is the characteristic river length, Q 0 is the steady flow corresponding to a certain water depth H, S 0 is the bottom slope, B is the width of the water surface, C is the wave velocity, C=ηv,η is the wave velocity coefficient, and v is the average velocity of the section.

优选的,步骤b)中计算流量过程中的雨水流速包括以下步骤:Preferably, in the step b), the rainwater flow rate in the flow process comprises the following steps:

步骤一:输入根部管线的管线号,并在数据库中查找与其相连的上游节点;Step 1: Input the pipeline number of the root pipeline, and search the upstream node connected to it in the database;

步骤二:根据上游节点查找与之相连的上游管线,如果有,则转为步骤三,若没有,则转为步骤四;Step 2: Find the upstream pipeline connected to it according to the upstream node, if there is, go to step 3, if not, go to step 4;

步骤三:将上游管线编号作为输入转化与步骤一;Step 3: Use the upstream pipeline number as an input to transform and step 1;

步骤四:将步骤一中的管线设置成边缘管线,其上游管点为边缘管点;Step 4: Set the pipeline in step 1 as an edge pipeline, and its upstream pipe point is an edge pipe point;

步骤五:计算步骤四边缘管线的出流量Q2=C1I1+C2I2+C3Q1;且该变形管线没有上游管线,因此边缘管线的此时出流量为Q2=C1H1+C2H2+C3Q2,并对计算结果进行保存;Step 5: Calculate the outlet flow of the edge pipeline in step 4 Q 2 =C 1 I 1 +C 2 I 2 +C 3 Q 1 ; and the deformed pipeline has no upstream pipeline, so the outlet flow of the edge pipeline at this time is Q 2 =C 1 H 1 +C 2 H 2 +C 3 Q 2 , and save the calculation results;

步骤六:根据步骤五计算的边缘管线的出流量计算次边缘管线的出流量Q2=C1(QL1+H1)+C2(QL2+H2)+C3Q1,并对计算结果进行保存;Step 6: Calculate the outflow of the secondary edge pipeline Q 2 =C 1 (Q L1 +H 1 )+C 2 (Q L2 +H 2 )+C 3 Q 1 based on the outflow of the edge pipeline calculated in step 5, and calculate Save the calculation results;

步骤七:重复步骤六直到计算出根部管线的出流量。Step 7: Repeat step 6 until the outflow of the root pipeline is calculated.

综上所述,本发明的优点:通过致灾因子与承载体易损性分析、城市内涝评估、致灾临界雨量设定、电网灾害预警的预警方法,能解决暴雨全过程中,城市积涝的提前预警的难点,并根据预警技术,解决暴雨全过程中,城市积涝范围、积涝深度,预警临界值模拟及确定等问题,有效地预测内涝灾害并减少内涝造成的财产与经济损失。In summary, the advantages of the present invention are: through the analysis of disaster-causing factors and the vulnerability of bearing bodies, the evaluation of urban waterlogging, the setting of disaster-causing critical rainfall, and the early warning method of power grid disaster early warning, it can solve the problem of urban waterlogging in the whole process of heavy rain. According to the early warning technology, solve the problems of urban waterlogging range, waterlogging depth, early warning critical value simulation and determination, etc. in the whole process of heavy rain, effectively predict waterlogging disasters and reduce property and economic losses caused by waterlogging.

附图说明Description of drawings

下面结合附图对本发明作进一步说明:The present invention will be further described below in conjunction with accompanying drawing:

图1为本发明芝加哥暴雨过程线的结构示意图;Fig. 1 is the structural representation of Chicago rainstorm process line of the present invention;

图2为本发明非满流圆管的结构示意图。Fig. 2 is a structural schematic diagram of a non-full flow circular tube of the present invention.

具体实施方式detailed description

电网设施暴雨预警方法,依次包括以下步骤:The rainstorm warning method for power grid facilities includes the following steps in sequence:

a)致灾因子与承载体易损性分析:通过降雨量提取不同等级的临界降雨强度、临界降雨量、临界有效降雨量、淹没范围和淹没水深,并通过淹没范围和淹没水深来分析承载体易损性,临界降雨强度为单位时间内的降雨量,临界降雨量为一段时间内的降雨量,临界有效降雨量为反映当前降雨强度及累积降雨量使得坡体或松散物质产生或可能产生位移作用的等效降雨量,临界有效降雨量Re=Ri+Rd+Ir×t,其中:Re为有效降雨量;Ri为间接前期有效降雨量,是当 日之前的降雨累积量;Rd为直接前期有效降雨量,是当日降雨量累积量;Ir为降雨强度;t为雨强为Ir的降水历时,承载体包括变电所、配电室、电缆线路及设备、配电终端设备、杆上电容器、站所建筑物、配电变压器、开关柜、环网柜、柱上开关设备;a) Disaster-causing factors and carrier vulnerability analysis: extract different grades of critical rainfall intensity, critical rainfall, critical effective rainfall, submerged range and submerged water depth through rainfall, and analyze the carrier through submerged range and submerged water depth Vulnerability, the critical rainfall intensity is the rainfall per unit time, the critical rainfall is the rainfall within a period of time, and the critical effective rainfall reflects the current rainfall intensity and cumulative rainfall that cause the slope or loose material to generate or possibly cause displacement The equivalent rainfall of action, the critical effective rainfall Re=Ri+Rd+Ir×t, where: Re is the effective rainfall; Ri is the indirect effective rainfall in the previous period, which is the accumulated rainfall before the day; Rd is the direct effective rainfall Rainfall is the cumulative amount of rainfall on the day; Ir is the rainfall intensity; t is the duration of precipitation with the rain intensity of Ir, and the carrier includes substations, power distribution rooms, cable lines and equipment, power distribution terminal equipment, capacitors on poles, Station buildings, distribution transformers, switch cabinets, ring network cabinets, pole-mounted switchgear;

b)城市内涝评估:根据步骤a)提取的降雨量分析城市内涝风险,城市内涝风险包括降雨过程、产流过程、地表汇流过程和管网汇流过程;b) Urban waterlogging assessment: analyze the urban waterlogging risk according to the rainfall extracted in step a), and the urban waterlogging risk includes the rainfall process, runoff process, surface confluence process and pipe network confluence process;

c)致灾临界雨量设定:通过统计归纳法求取暴雨电网影响的临界雨量,并判断是否超过临界降雨量,当临界雨量超过临界降雨量时,则进入步骤d),当临界雨量未超过临界降雨量时,当则返回步骤a);c) Disaster-causing critical rainfall setting: Calculate the critical rainfall affected by the rainstorm power grid by statistical induction, and judge whether it exceeds the critical rainfall. When the critical rainfall exceeds the critical rainfall, enter step d). When the critical rainfall does not exceed When critical rainfall, then return to step a);

d)电网灾害预警:通过对步骤c)中超过临界降雨量的区域进行预警处理及确定城市易涝点的预警等级。d) Early warning of power grid disasters: through the early warning processing of the areas exceeding the critical rainfall in step c), and the determination of the early warning level of urban waterlogging points.

优选的,步骤b)中的降雨过程通过暴雨强度表述,暴雨强度包括以下步骤:Preferably, the rainfall process in step b) is expressed by rainstorm intensity, and the rainstorm intensity includes the following steps:

A暴雨资料选样:从已有的雨量资料中选取降雨事件,降雨事件的降雨历时分为5分钟、10分钟、15分钟、20分钟、30分钟、45分钟、60分钟、90分钟、120分钟,降雨事件的降雨重现期按0.25年、0.33年、0.5年、1年、2年、3年、5年和10年统计;A rainstorm data sampling: select rainfall events from the existing rainfall data, and the rainfall duration of rainfall events is divided into 5 minutes, 10 minutes, 15 minutes, 20 minutes, 30 minutes, 45 minutes, 60 minutes, 90 minutes, 120 minutes , the rainfall return periods of rainfall events are calculated according to 0.25 years, 0.33 years, 0.5 years, 1 year, 2 years, 3 years, 5 years and 10 years;

B频率分析:根据步骤A选取的暴雨资料统计暴雨强度的频率分布曲线;B frequency analysis: According to the rainstorm data selected in step A, the frequency distribution curve of the rainstorm intensity is counted;

C确定暴雨强度参数:通过步骤A和步骤B获得的频率-强度-历时关系来估计暴雨强度参数,估计方法包括最小二乘法、单纯形法、迭代法和遗传算法。C Determine the rainstorm intensity parameters: estimate the rainstorm intensity parameters through the frequency-intensity-duration relationship obtained in steps A and B, and the estimation methods include least square method, simplex method, iterative method and genetic algorithm.

当研究区域为一个没有降雨资料或资料不充分时,采用平均降雨强度表示 一场降雨,且降雨强度为不变的,在实际的降雨过程中,开始时降雨强度较小,随时间增加而逐渐变大,然后又变小直到雨停,通过图1中所示的芝加哥暴雨过程线进行相应的演算,图1中,t1为雨峰时刻,降雨强度最大;t2为雨停时刻;tb表示峰前时段,ta表示峰后时段,雨峰系数γ=t1=t2,使用与均匀雨型具有相同平均强度的暴雨生成雨量过程线,用i(t)表示降雨强度随时间的变化,则历时为td的降雨的平均强度为:When the research area has no rainfall data or insufficient data, the average rainfall intensity is used to represent a rainfall, and the rainfall intensity is constant. In the actual rainfall process, the rainfall intensity is small at the beginning and gradually increases with time. become larger, then smaller until the rain stops, and the corresponding calculation is carried out through the Chicago rainstorm process line shown in Figure 1. In Figure 1, t1 is the time of the peak of the rain, and the rainfall intensity is the largest; t2 is the time when the rain stops; tb represents the peak Before the period, ta represents the period after the peak, the rain peak coefficient γ = t1 = t2, use the rainstorm with the same average intensity as the uniform rain pattern to generate the rainfall hydrograph, and use i(t) to represent the change of rainfall intensity with time, then the duration is The average intensity of rainfall for td is:

引入雨峰后,以tb表示峰前时刻与雨峰时刻的时差,以ta表示峰后时刻与雨峰时刻的时差,则峰前时段的瞬时降雨强度为:After the rain peak is introduced, tb is used to represent the time difference between the pre-peak time and the rain peak time, and ta is used to represent the time difference between the post-peak time and the rain peak time, then the instantaneous rainfall intensity in the pre-peak period is:

峰后时段的瞬时降雨强度为:The instantaneous rainfall intensity during the post-peak period is:

芝加哥暴雨过程线的瞬时暴雨强度的分段函数形式为The piecewise function form of the instantaneous rainstorm intensity of the Chicago rainstorm hydrograph is

当模型计算精度要求不高时,可以采用均匀雨型表示降雨强度的时间分布;若计算精度要求较高时,采用芝加哥暴雨过程线,雨峰系数取经验值0.4。When the calculation accuracy of the model is not high, the uniform rain pattern can be used to represent the time distribution of rainfall intensity; if the calculation accuracy is high, the Chicago rainstorm process line is used, and the rain peak coefficient takes the empirical value of 0.4.

步骤b)中的产流过程通过径流系数法计算,径流系数法将城市区域分为几 种不同的地表类型并对每一种地表类型赋以一个系数,然后该系数乘以降雨量就得到了产流量,根据不同的地面类型选取不同的径流系数,如各种屋面、混凝土或沥青路面的径流系数为0.85~0.95;大块石铺砌路面或沥青表面处理的碎石路面的径流系数为0.55~0.65;级配碎石路面的径流系数为0.40~0.50;干砌砖石或碎石路面的径流系数为0.35~0.40;非铺砌土路面的径流系数为0.25~0.35;公园或绿地的的径流系数为0.10~0.20。The runoff process in step b) is calculated by the runoff coefficient method. The runoff coefficient method divides the urban area into several different surface types and assigns a coefficient to each surface type. Then the coefficient is multiplied by the rainfall to obtain the yield Flow rate, select different runoff coefficients according to different ground types, such as the runoff coefficients of various roofs, concrete or asphalt pavements are 0.85-0.95; The runoff coefficient of graded gravel pavement is 0.40~0.50; the runoff coefficient of dry masonry or gravel pavement is 0.35~0.40; the runoff coefficient of non-paved soil pavement is 0.25~0.35; the runoff coefficient of park or green space is 0.10~0.20.

步骤b)中的地表汇流过程为雨水径流产生后如何在地表运动,并最终通过雨水口进入排水管网的过程,地表汇流过程包括水力学模型和水文学模型,水力学模型建立在微观物理定律的基础上,依据水流的连续方程和运动方程求解水流的时空变化,雨水口汇水区内的水流运动为坡面流过程,水文学模型为建立降雨输入和流域出口流量过程的某种确定性关系。The surface confluence process in step b) is how the rainwater runoff moves on the surface after it is generated, and finally enters the drainage pipe network through the gully. The surface confluence process includes a hydraulic model and a hydrological model. The hydraulic model is based on microscopic physical laws Based on the continuity equation and motion equation of water flow, the temporal and spatial changes of water flow are solved. The water flow movement in the catchment area of the gully is a slope flow process. relation.

控制坡面流运动的一维圣维南方程组为:The one-dimensional Saint-Venant equations governing the movement of overland flow are:

其中:x为水流方向,A为垂直于x轴的面积,Q为通过断面A的流量,y为断面A的水深,vx为断面平均流速,S0为地面坡度,Sf为阻力坡度,g为重力加速度,q1为下渗或降雨,阻力坡度:Among them: x is the flow direction, A is the area perpendicular to the x-axis, Q is the flow through section A, y is the water depth of section A, vx is the average flow velocity of the section, S0 is the ground slope, Sf is the resistance slope, and g is gravity Acceleration, q1 is infiltration or rainfall, resistance slope:

or or

其中:f为Weisbach阻力系数;n为Manning糙率系数;Kn为换算系数, 采用国际单位制时为1,采用英制单位时则为1.486;C为Chezy系数;R为水力半径。Among them: f is the Weisbach resistance coefficient; n is the Manning roughness coefficient; Kn is the conversion factor, which is 1 when the international system of units is used, and 1.486 when the imperial unit is used; C is the Chezy coefficient; R is the hydraulic radius.

水文学模型通过时间面积图表示流域不同区域的汇流时间分布,单位脉冲响应为The hydrological model shows the time distribution of confluence in different areas of the watershed through a time-area diagram, and the unit impulse response is

其中:(t-τ)为汇流时间,dA为流域内的单位面积。Among them: (t-τ) is the confluence time, dA is the unit area in the watershed.

优选的,步骤b)中的地表汇流过程中的雨水径流路径由中心格网和八个相邻的邻域格网组成,通过邻域格网与中心格网形成的不同坡度的三角面,选择从中心格网的下坡坡度最大的三角面的坡向作为中心格网的水流方向。Preferably, the rainwater runoff path in the surface confluence process in step b) is composed of a central grid and eight adjacent neighborhood grids, and through the triangular faces of different slopes formed by the neighborhood grid and the central grid, select The aspect of the triangular surface with the largest downhill slope from the central grid is used as the water flow direction of the central grid.

雨水从中心格网汇流至邻域格网的汇流时间Confluence time of rainwater from the central grid to the neighboring grid

其中:nm为格网区域地表的Manning糙率系数,g为DEM格网的间距,I为净雨,Δh为由水流指向连接的两个相邻格网的高程差,k是系数,当水流方向沿着DEM格网方向时k=1,当水流方向沿着对角线方向时k=2。Among them: nm is the Manning roughness coefficient of the surface of the grid area, g is the spacing of the DEM grid, I is the net rain, Δh is the elevation difference between two adjacent grids connected by the water flow point, k is the coefficient, when the water flow k=1 when the direction is along the DEM grid direction, and k=2 when the water flow direction is along the diagonal direction.

步骤b)中的管网汇流过程中的管道水流为The pipeline water flow in the process of pipe network confluence in step b) is

Qt+Δt=C0It+Δt+C1It+C2QtQ t+Δt =C 0 I t+Δt +C 1 I t +C 2 Q t ;

其中:I为河段的上游入水流,Q为河段的上下游出水流,S为该河段内的蓄水量;Among them: I is the upstream inflow of the river section, Q is the upstream and downstream outflow of the river section, and S is the water storage capacity in the river section;

在上式中:Lg为管道长度,L为特征河长,Q0为某一水深H所对应的稳定流量,S0为底坡,B为水面宽度,C为波速,C=ηv,η为波速系数,v为断面平均速度。In the above formula: L g is the length of the pipeline, L is the characteristic river length, Q 0 is the steady flow corresponding to a certain water depth H, S 0 is the bottom slope, B is the width of the water surface, C is the wave velocity, C=ηv,η is the wave velocity coefficient, and v is the average velocity of the section.

当管网汇流管道为非满流圆管时,如图2所示有,When the confluence pipe of the pipe network is a non-full flow circular pipe, as shown in Figure 2,

其中n为曼宁粗糙系数,D为管道直径,为圆心角,整理得:where n is the Manning roughness coefficient, D is the pipe diameter, is the central angle, and we get:

式中α和β为的函数。根据岑国平等人的研究,α和β可取常数:α=0.15,β=0.75,则有:where α and β are The function. According to the research of Cen Guoping and others, α and β can be constants: α=0.15, β=0.75, then:

再求出C0,C1和C2,由4-2式可求出管道某时段Δt后的流量Qt+Δt。结合管道过水断面特征,由曼宁公式可得对应演算流量的水深h,即:Then calculate C 0 , C 1 and C 2 , and the flow rate Q t+Δt after a certain period of time Δt in the pipeline can be calculated from formula 4-2. Combined with the characteristics of the cross-section of the pipeline, the water depth h corresponding to the calculation flow can be obtained from the Manning formula, namely:

先通过Q求出再由计算该断面的水深h。从Q求采用牛顿迭代法,令First find out through Q Then by Calculate the water depth h of this section. Seek from Q Using Newton's iterative method, let but

利用牛顿迭代公式,得Assume Using Newton's iterative formula, we get

最后得:Finally got:

步骤b)中计算流量过程中的雨水流速包括以下步骤:Calculating the rainwater flow rate in the flow process in step b) includes the following steps:

步骤一:输入根部管线的管线号,并在数据库中查找与其相连的上游节点;Step 1: Input the pipeline number of the root pipeline, and search the upstream node connected to it in the database;

步骤二:根据上游节点查找与之相连的上游管线,如果有,则转为步骤三,若没有,则转为步骤四;Step 2: Find the upstream pipeline connected to it according to the upstream node, if there is, go to step 3, if not, go to step 4;

步骤三:将上游管线编号作为输入转化与步骤一;Step 3: Use the upstream pipeline number as an input to transform and step 1;

步骤四:将步骤一中的管线设置成边缘管线,其上游管点为边缘管点;Step 4: Set the pipeline in step 1 as an edge pipeline, and its upstream pipe point is an edge pipe point;

步骤五:计算步骤四边缘管线的出流量Q2=C1I1+C2I2+C3Q1;且该变形管线没有上游管线,因此边缘管线的此时出流量为Q2=C1H1+C2H2+C3Q2,并对计算结果进行保存;Step 5: Calculate the outlet flow of the edge pipeline in step 4 Q 2 =C 1 I 1 +C 2 I 2 +C 3 Q 1 ; and the deformed pipeline has no upstream pipeline, so the outlet flow of the edge pipeline at this time is Q 2 =C 1 H 1 +C 2 H 2 +C 3 Q 2 , and save the calculation results;

步骤六:根据步骤五计算的边缘管线的出流量计算次边缘管线的出流量Q2=C1(QL1+H1)+C2(QL2+H2)+C3Q1,并对计算结果进行保存;Step 6: Calculate the outflow of the secondary edge pipeline Q 2 =C 1 (Q L1 +H 1 )+C 2 (Q L2 +H 2 )+C 3 Q 1 based on the outflow of the edge pipeline calculated in step 5, and calculate Save the calculation results;

步骤七:重复步骤六直到计算出根部管线的出流量。Step 7: Repeat step 6 until the outflow of the root pipeline is calculated.

除上述优选实施例外,本发明还有其他的实施方式,本领域技术人员可以 根据本发明作出各种改变和变形,只要不脱离本发明的精神,均应属于本发明所附权利要求所定义的范围。Except above-mentioned preferred embodiment, the present invention also has other embodiments, and those skilled in the art can make various changes and deformations according to the present invention, as long as they do not depart from the spirit of the present invention, all should belong to the scope defined in the appended claims of the present invention scope.

Claims (10)

1.电网设施暴雨预警方法,其特征在于:依次包括以下步骤:1. The grid facility rainstorm early warning method is characterized in that: comprises the following steps successively: a)致灾因子与承载体易损性分析:通过降雨量提取不同等级的临界降雨强度、临界降雨量、临界有效降雨量、淹没范围和淹没水深,并通过淹没范围和淹没水深来分析承载体易损性,临界降雨强度为单位时间内的降雨量,临界降雨量为一段时间内的降雨量,临界有效降雨量为反映当前降雨强度及累积降雨量使得坡体或松散物质产生或可能产生位移作用的等效降雨量,临界有效降雨量Re=Ri+Rd+Ir×t,其中:Re为有效降雨量;Ri为间接前期有效降雨量,是当日之前的降雨累积量;Rd为直接前期有效降雨量,是当日降雨量累积量;Ir为降雨强度;t为雨强为Ir的降水历时,承载体包括变电所、配电室、电缆线路及设备、配电终端设备、杆上电容器、站所建筑物、配电变压器、开关柜、环网柜、柱上开关设备;a) Disaster-causing factors and carrier vulnerability analysis: extract different grades of critical rainfall intensity, critical rainfall, critical effective rainfall, submerged range and submerged water depth through rainfall, and analyze the carrier through submerged range and submerged water depth Vulnerability, the critical rainfall intensity is the rainfall per unit time, the critical rainfall is the rainfall within a period of time, and the critical effective rainfall reflects the current rainfall intensity and cumulative rainfall that cause the slope or loose material to generate or possibly cause displacement The equivalent rainfall of action, the critical effective rainfall Re=Ri+Rd+Ir×t, where: Re is the effective rainfall; Ri is the indirect effective rainfall in the previous period, which is the accumulated rainfall before the day; Rd is the direct effective rainfall Rainfall is the cumulative amount of rainfall on the day; Ir is the rainfall intensity; t is the duration of precipitation with the rain intensity of Ir, and the carrier includes substations, power distribution rooms, cable lines and equipment, power distribution terminal equipment, capacitors on poles, Station buildings, distribution transformers, switch cabinets, ring network cabinets, pole-mounted switchgear; b)城市内涝评估:根据步骤a)提取的降雨量分析城市内涝风险,城市内涝风险包括降雨过程、产流过程、地表汇流过程和管网汇流过程;b) Urban waterlogging assessment: analyze the urban waterlogging risk according to the rainfall extracted in step a), and the urban waterlogging risk includes the rainfall process, runoff process, surface confluence process and pipe network confluence process; c)致灾临界雨量设定:通过统计归纳法求取暴雨电网影响的临界雨量,并判断是否超过临界降雨量,当临界雨量超过临界降雨量时,则进入步骤d),当临界雨量未超过临界降雨量时,当则返回步骤a);c) Disaster-causing critical rainfall setting: Calculate the critical rainfall affected by the rainstorm power grid by statistical induction, and judge whether it exceeds the critical rainfall. When the critical rainfall exceeds the critical rainfall, enter step d). When the critical rainfall does not exceed When critical rainfall, then return to step a); d)电网灾害预警:通过对步骤c)中超过临界降雨量的区域进行预警处理及确定城市易涝点的预警等级。d) Early warning of power grid disasters: through the early warning processing of the areas exceeding the critical rainfall in step c), and the determination of the early warning level of urban waterlogging points. 2.根据权利要求1所述的电网设施暴雨预警方法,其特征在于:步骤b)中的降雨过程通过暴雨强度表述,暴雨强度包括以下步骤:2. The grid facility rainstorm early warning method according to claim 1, is characterized in that: the rainfall process in the step b) is expressed by the rainstorm intensity, and the rainstorm intensity comprises the following steps: A暴雨资料选样:从已有的雨量资料中选取降雨事件,降雨事件的降雨历时分为5分钟、10分钟、15分钟、20分钟、30分钟、45分钟、60分钟、90分钟、120分钟,降雨事件的降雨重现期按0.25年、0.33年、0.5年、1年、2年、3年、5年和10年统计;A rainstorm data sampling: select rainfall events from the existing rainfall data, and the rainfall duration of rainfall events is divided into 5 minutes, 10 minutes, 15 minutes, 20 minutes, 30 minutes, 45 minutes, 60 minutes, 90 minutes, 120 minutes , the rainfall return periods of rainfall events are calculated according to 0.25 years, 0.33 years, 0.5 years, 1 year, 2 years, 3 years, 5 years and 10 years; B频率分析:根据步骤A选取的暴雨资料统计暴雨强度的频率分布曲线;B frequency analysis: According to the rainstorm data selected in step A, the frequency distribution curve of the rainstorm intensity is counted; C确定暴雨强度参数:通过步骤A和步骤B获得的频率-强度-历时关系来估计暴雨强度参数,估计方法包括最小二乘法、单纯形法、迭代法和遗传算法。C Determine the rainstorm intensity parameters: estimate the rainstorm intensity parameters through the frequency-intensity-duration relationship obtained in steps A and B, and the estimation methods include least square method, simplex method, iterative method and genetic algorithm. 3.根据权利要求1所述的电网设施暴雨预警方法,其特征在于:步骤b)中的产流过程通过径流系数法计算,径流系数法将城市区域分为几种不同的地表类型并对每一种地表类型赋以一个系数,然后该系数乘以降雨量就得到了产流量。3. the grid facility rainstorm early warning method according to claim 1, is characterized in that: the runoff process in step b) is calculated by the runoff coefficient method, and the runoff coefficient method is divided into several different surface types by the urban area and for each A surface type is assigned a coefficient, which is then multiplied by rainfall to obtain the yield. 4.根据权利要求1所述的电网设施暴雨预警方法,其特征在于:步骤b)中的地表汇流过程为雨水径流产生后如何在地表运动,并最终通过雨水口进入排水管网的过程,地表汇流过程包括水力学模型和水文学模型,水力学模型建立在微观物理定律的基础上,依据水流的连续方程和运动方程求解水流的时空变化,雨水口汇水区内的水流运动为坡面流过程,水文学模型为建立降雨输入和流域出口流量过程的某种确定性关系。4. The power grid facility rainstorm warning method according to claim 1, characterized in that: the surface confluence process in step b) is how to move on the surface after the rainwater runoff produces, and finally enter the process of the drainage pipe network through the storm water outlet, the surface The confluence process includes a hydraulic model and a hydrological model. The hydraulic model is established on the basis of microscopic physical laws, and the temporal and spatial changes of water flow are solved according to the continuity equation and motion equation of water flow. The hydrological model is to establish a certain deterministic relationship between the rainfall input and the outlet flow process of the basin. 5.根据权利要求4所述的电网设施暴雨预警方法,其特征在于:控制坡面流运动的一维圣维南方程组为:5. The grid facility rainstorm early warning method according to claim 4, is characterized in that: the one-dimensional Saint-Venant equations for controlling slope flow motion are: 其中:x为水流方向,A为垂直于x轴的面积,Q为通过断面A的流量,y为断面A的水深,vx为断面平均流速,S0为地面坡度,Sf为阻力坡度,g为重力加速度,q1为下渗或降雨,阻力坡度:Among them: x is the flow direction, A is the area perpendicular to the x-axis, Q is the flow through section A, y is the water depth of section A, vx is the average flow velocity of the section, S0 is the ground slope, Sf is the resistance slope, and g is gravity Acceleration, q1 is infiltration or rainfall, resistance slope: or or 其中:f为Weisbach阻力系数;n为Manning糙率系数;Kn为换算系数,采用国际单位制时为1,采用英制单位时则为1.486;C为Chezy系数;R为水力半径。Among them: f is the Weisbach resistance coefficient; n is the Manning roughness coefficient; Kn is the conversion factor, which is 1 when the international system of units is used, and 1.486 when the imperial unit is used; C is the Chezy coefficient; R is the hydraulic radius. 6.根据权利要求4所述的电网设施暴雨预警方法,其特征在于:水文学模型通过时间面积图表示流域不同区域的汇流时间分布,单位脉冲响应为6. The power grid facility rainstorm early warning method according to claim 4, is characterized in that: the hydrology model represents the confluence time distribution in different areas of the watershed by a time area diagram, and the unit impulse response is 其中:(t-τ)为汇流时间,dA为流域内的单位面积。Among them: (t-τ) is the confluence time, dA is the unit area in the watershed. 7.根据权利要求4所述的电网设施暴雨预警方法,其特征在于:步骤b)中的地表汇流过程中的雨水径流路径由中心格网和八个相邻的邻域格网组成,通过邻域格网与中心格网形成的不同坡度的三角面,选择从中心格网的下坡坡度最大的三角面的坡向作为中心格网的水流方向。7. The power grid facility rainstorm early warning method according to claim 4, is characterized in that: the rainwater runoff path in the surface confluence process in the step b) is made up of central grid and eight adjacent neighborhood grids, through adjacent For the triangular surfaces with different slopes formed by the domain grid and the central grid, the direction of the triangular surface with the largest downward slope from the central grid is selected as the water flow direction of the central grid. 8.根据权利要求7所述的电网设施暴雨预警方法,其特征在于:雨水从中心格网汇流至邻域格网的汇流时间8. The rainstorm warning method for power grid facilities according to claim 7, characterized in that: the time for rainwater to flow from the central grid to the neighboring grid 其中:nm为格网区域地表的Manning糙率系数,g为DEM格网的间距,I为净雨,Δh为由水流指向连接的两个相邻格网的高程差,k是系数,当水流方向沿着DEM格网方向时k=1,当水流方向沿着对角线方向时k=2。Among them: nm is the Manning roughness coefficient of the surface of the grid area, g is the spacing of the DEM grid, I is the net rain, Δh is the elevation difference between two adjacent grids connected by the water flow point, k is the coefficient, when the water flow k=1 when the direction is along the DEM grid direction, and k=2 when the water flow direction is along the diagonal direction. 9.根据权利要求1所述的电网设施暴雨预警方法,其特征在于:步骤b)中的管网汇流过程中的管道水流为9. the power grid facility rainstorm early warning method according to claim 1, is characterized in that: the pipeline water flow in the pipeline network confluence process in the step b) is Qt+Δt=C0It+Δt+C1It+C2QtQ t+Δt =C 0 I t+Δt +C 1 I t +C 2 Q t ; 其中:I为河段的上游入水流,Q为河段的上下游出水流,S为该河段内的蓄水量;Among them: I is the upstream inflow of the river section, Q is the upstream and downstream outflow of the river section, and S is the water storage capacity in the river section; 在上式中:Lg为管道长度,L为特征河长,Q0为某一水深H所对应的稳定流量,S0为底坡,B为水面宽度,C为波速,C=ηv,η为波速系数,v为断面平均速度。In the above formula: L g is the length of the pipeline, L is the characteristic river length, Q 0 is the steady flow corresponding to a certain water depth H, S 0 is the bottom slope, B is the width of the water surface, C is the wave velocity, C=ηv,η is the wave velocity coefficient, and v is the average velocity of the section. 10.根据权利要求9所述的电网设施暴雨预警方法,其特征在于:步骤b)中计算流量过程中的雨水流速包括以下步骤:10. The power grid facility rainstorm early warning method according to claim 9, is characterized in that: the rainwater flow rate in the calculation flow process in the step b) comprises the following steps: 步骤一:输入根部管线的管线号,并在数据库中查找与其相连的上游节点;Step 1: Input the pipeline number of the root pipeline, and search the upstream node connected to it in the database; 步骤二:根据上游节点查找与之相连的上游管线,如果有,则转为步骤三,若没有,则转为步骤四;Step 2: Find the upstream pipeline connected to it according to the upstream node, if there is, go to step 3, if not, go to step 4; 步骤三:将上游管线编号作为输入转化与步骤一;Step 3: Use the upstream pipeline number as an input to transform and step 1; 步骤四:将步骤一中的管线设置成边缘管线,其上游管点为边缘管点;Step 4: Set the pipeline in step 1 as an edge pipeline, and its upstream pipe point is an edge pipe point; 步骤五:计算步骤四边缘管线的出流量Q2=C1I1+C2I2+C3Q1;且该变形管线没有上游管线,因此边缘管线的此时出流量为Q2=C1H1+C2H2+C3Q2,并对计算结果进行保存;Step 5: Calculate the outlet flow of the edge pipeline in step 4 Q 2 =C 1 I 1 +C 2 I 2 +C 3 Q 1 ; and the deformed pipeline has no upstream pipeline, so the outlet flow of the edge pipeline at this time is Q 2 =C 1 H 1 +C 2 H 2 +C 3 Q 2 , and save the calculation results; 步骤六:根据步骤五计算的边缘管线的出流量计算次边缘管线的出流量Q2=C1(QL1+H1)+C2(QL2+H2)+C3Q1,并对计算结果进行保存;Step 6: Calculate the outflow of the secondary edge pipeline Q 2 =C 1 (Q L1 +H 1 )+C 2 (Q L2 +H 2 )+C 3 Q 1 based on the outflow of the edge pipeline calculated in step 5, and calculate Save the calculation results; 步骤七:重复步骤六直到计算出根部管线的出流量。Step 7: Repeat step 6 until the outflow of the root pipeline is calculated.
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