CN113326961B - Integrated optimization method for tramcar-mounted energy storage configuration and ground charging scheme - Google Patents
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Abstract
本发明公开了一种有轨电车车载储能配置与地面充电方案的一体化优化方法。该方法步骤如下:建立基本数据模块,基本数据模块包括线路数据模块、列车属性数据模块、ATO参数模块、超级电容参数模块、充电站参数模块;建立列车运行仿真模块,包括车载ATO模型、列车模型、车载超级电容模型、站台充电装置模型、列车状态更新计算模型和列车运行能耗计算模型;将车载储能配置与地面充电方案优化作为一个多目标优化问题,采用遗传算法NSGA‑II进行车载储能配置与地面充电方案一体化优化,NSGA‑II求解得到均匀分布的Pareto解集,从而确定最优的车载储能配置与地面充电方案。本发明方法为工程项目中列车选型、线路设计提供数据与理论支撑,具有较高的使用价值和应用前景。
The invention discloses an integrated optimization method for the on-board energy storage configuration of a tram and a ground charging scheme. The steps of the method are as follows: establish a basic data module, which includes a line data module, a train attribute data module, an ATO parameter module, a supercapacitor parameter module, and a charging station parameter module; establish a train operation simulation module, including a vehicle-mounted ATO model and a train model , on-board supercapacitor model, platform charging device model, train status update calculation model and train operating energy consumption calculation model; the optimization of on-board energy storage configuration and ground charging scheme is regarded as a multi-objective optimization problem, and the genetic algorithm NSGA-II is used for on-board storage. The integrated optimization of energy configuration and ground charging scheme, NSGA-II solves to obtain a uniformly distributed Pareto solution set, so as to determine the optimal on-board energy storage configuration and ground charging scheme. The method of the invention provides data and theoretical support for train type selection and line design in engineering projects, and has high use value and application prospect.
Description
技术领域technical field
本发明涉及城市轨道交通技术领域,特别是一种有轨电车车载储能配置与地面充电方案的一体化优化方法。The invention relates to the technical field of urban rail transit, in particular to an integrated optimization method for on-board energy storage configuration and ground charging scheme of trams.
背景技术Background technique
传统接触网供电的有轨电车线路对净空高度有着严格的要求,不仅在市中心路段存在一定的安全隐患,还对未来线网的拓展产生不利影响,因此车载储能装置与接触网搭配的混合供电方式成为了当前的发展趋势。对于此种供电方式,结合线路实际条件与列车特征参数去合理地选择车载储能配置与地面充电方案至关重要。The traditional catenary-powered tram lines have strict requirements on the clearance height, which not only poses certain safety hazards in the downtown section, but also adversely affects the expansion of the future line network. Therefore, the combination of on-board energy storage devices and catenary Power supply has become the current development trend. For this power supply mode, it is very important to reasonably select the on-board energy storage configuration and ground charging scheme in combination with the actual conditions of the line and the characteristic parameters of the train.
现有的车载储能配置与地面充电方案的研究尚不成熟,存在以下不足:(1)现代有轨电车车载储能配置与地面充电方案优化是一个多目标优化问题,现有的研究通过设置加权系数的方法将其转换成一个单目标优化问题虽然简化了问题的研究,但是系数的设置无法保证科学性,没有从一体化优化的角度出发,将车载储能配置与地面充电方案优化作为一个多目标优化问题进行分析。(2)现有的研究中对地面充电方案的优化采用遍历法,这对于多站台的长线路并不适用,且全局最优解的搜索速度较低。(3)列车在线路上是往返运行的,因此进行优化仿真时不应该仅考虑下行运行过程或者上行运行过程,而是应该将上下行运行过程作为一个整体来考虑。The existing research on on-board energy storage configuration and ground charging scheme is still immature, and has the following shortcomings: (1) The optimization of on-board energy storage configuration and ground charging scheme for modern trams is a multi-objective optimization problem. The method of weighting coefficients converts it into a single-objective optimization problem, although it simplifies the research of the problem, but the setting of the coefficients cannot guarantee the scientificity. Multi-objective optimization problems are analyzed. (2) The traversal method is used for the optimization of the ground charging scheme in the existing research, which is not suitable for long lines with multiple stations, and the search speed of the global optimal solution is low. (3) The train runs back and forth on the line, so the optimization simulation should not only consider the downward running process or the upward running process, but should consider the upward and downward running process as a whole.
发明内容SUMMARY OF THE INVENTION
本发明的目的在于提供一种科学、可靠、高效的有轨电车车载储能配置与地面充电方案的一体化优化方法。The purpose of the present invention is to provide a scientific, reliable and efficient integrated optimization method for on-board energy storage configuration and ground charging scheme of trams.
实现本发明目的的技术解决方案为:一种有轨电车车载储能配置与地面充电方案的一体化优化方法,包括以下步骤:The technical solution for realizing the purpose of the present invention is: an integrated optimization method for on-board energy storage configuration and ground charging scheme of trams, comprising the following steps:
步骤1,建立基本数据模块,基本数据模块包括线路数据模块、列车属性数据模块、ATO参数模块、超级电容参数模块、充电站参数模块;
步骤2,建立列车运行仿真模块,包括车载ATO模型、列车模型、车载超级电容模型、站台充电装置模型、列车状态更新计算模型和列车运行能耗计算模型;Step 2, establishing a train operation simulation module, including an on-board ATO model, a train model, an on-board super capacitor model, a platform charging device model, a train state update calculation model and a train operation energy consumption calculation model;
步骤3,将车载储能配置与地面充电方案优化作为一个多目标优化问题,采用遗传算法NSGA-II进行车载储能配置与地面充电方案一体化优化,NSGA-II求解得到均匀分布的Pareto解集,从而确定最优的车载储能配置与地面充电方案。Step 3: Taking the optimization of the on-board energy storage configuration and the ground charging scheme as a multi-objective optimization problem, the genetic algorithm NSGA-II is used to optimize the integration of the on-board energy storage configuration and the ground charging scheme, and NSGA-II is solved to obtain a uniformly distributed Pareto solution set. , so as to determine the optimal on-board energy storage configuration and ground charging scheme.
本发明与现有技术相比,其显著优点是:(1)从一体化优化的角度出发,将车载储能配置与地面充电方案优化作为一个多目标优化问题进行分析;(2)将遗传算法NSGA-II应用于车载储能配置与地面充电方案一体化优化,采用快速非支配排序算法、拥挤距离和拥挤度比较算子以及精英和适应度共享策略,使得最终设计得到的车载储能配置与地面充电方案达到非支配标准的要求,同时NSGA-II求解得到均匀分布的Pareto解集,便于基于实际情况选择最合适的车载储能配置与地面充电方案;(3)将列车上下行运行过程作为一个整体来考虑,而不是只针对上行运行过程或者下行运行过程进行优化,最终得到的车载储能配置与地面充电方案是科学可靠的。Compared with the prior art, the present invention has the following significant advantages: (1) from the perspective of integrated optimization, the on-board energy storage configuration and ground charging scheme optimization are analyzed as a multi-objective optimization problem; (2) the genetic algorithm is used to analyze NSGA-II is applied to the integrated optimization of on-board energy storage configuration and ground charging scheme. It adopts fast non-dominated sorting algorithm, crowded distance and crowded degree comparison operators, and elite and fitness sharing strategies, so that the final designed on-board energy storage configuration is similar to The ground charging scheme meets the requirements of the non-dominant standard, and at the same time, NSGA-II solves the uniformly distributed Pareto solution set, which is convenient to choose the most suitable on-board energy storage configuration and ground charging scheme based on the actual situation; Considering it as a whole, rather than optimizing only for the upward running process or the downward running process, the final on-board energy storage configuration and ground charging scheme are scientific and reliable.
附图说明Description of drawings
图1是本发明有轨电车车载储能配置与地面充电方案的一体化优化方法的结构图。FIG. 1 is a structural diagram of the integrated optimization method of the on-board energy storage configuration and ground charging scheme of a tram according to the present invention.
图2是本发明中列车运行仿真模块总体结构示意图。FIG. 2 is a schematic diagram of the overall structure of the train running simulation module in the present invention.
图3是本发明中NSGA-II求解车载储能配置与地面充电方案Pareto解的流程图。FIG. 3 is a flow chart of the Pareto solution of the on-board energy storage configuration and ground charging scheme solved by NSGA-II in the present invention.
具体实施方式Detailed ways
本发明有轨电车车载储能配置与地面充电方案的一体化优化方法,包括以下步骤:The integrated optimization method for the on-board energy storage configuration of the tram and the ground charging scheme of the present invention includes the following steps:
步骤1,建立基本数据模块,基本数据模块包括线路数据模块、列车属性数据模块、ATO参数模块、超级电容参数模块、充电站参数模块;
步骤2,建立列车运行仿真模块,包括车载ATO模型、列车模型、车载超级电容模型、站台充电装置模型、列车状态更新计算模型和列车运行能耗计算模型;Step 2, establishing a train operation simulation module, including an on-board ATO model, a train model, an on-board super capacitor model, a platform charging device model, a train state update calculation model and a train operation energy consumption calculation model;
步骤3,将车载储能配置与地面充电方案优化作为一个多目标优化问题,采用遗传算法NSGA-II进行车载储能配置与地面充电方案一体化优化,NSGA-II求解得到均匀分布的Pareto解集,从而确定最优的车载储能配置与地面充电方案。Step 3: Taking the optimization of the on-board energy storage configuration and the ground charging scheme as a multi-objective optimization problem, the genetic algorithm NSGA-II is used to optimize the integration of the on-board energy storage configuration and the ground charging scheme, and NSGA-II is solved to obtain a uniformly distributed Pareto solution set. , so as to determine the optimal on-board energy storage configuration and ground charging scheme.
进一步地,步骤1所述的基本数据模块包括线路数据模块、列车属性数据模块、ATO参数模块、超级电容参数模块、充电站参数模块,该五个模块均为数据输入模块,为列车运行仿真模块提供初始参数,其中:Further, the basic data module described in
线路数据模块,分为车站数据、坡道数据、弯道数据、限速数据、接触网布局以及充电站布局;Line data module, divided into station data, ramp data, curve data, speed limit data, catenary layout and charging station layout;
列车属性数据模块,提供列车运行的基本运行参数,包括列车编组、载客量、基本阻力参数、逆变器效率、牵引制动特性;The train attribute data module provides basic operating parameters of train operation, including train formation, passenger capacity, basic resistance parameters, inverter efficiency, and traction braking characteristics;
ATO配置模块,配置ATO系统的基本特征量,包括最大牵引加速度、最大制动加速度、最大冲击极限、最大运行速度;The ATO configuration module configures the basic characteristic quantities of the ATO system, including the maximum traction acceleration, the maximum braking acceleration, the maximum impact limit, and the maximum running speed;
超级电容参数模块,提供车载超级电容的基本电气参数,包括超级电容容值、最高工作电压、最低工作电压、能量转换效率;The supercapacitor parameter module provides the basic electrical parameters of the vehicle supercapacitor, including supercapacitor capacitance, maximum operating voltage, minimum operating voltage, and energy conversion efficiency;
充电站参数模块,提供站台充电装置的基本电气参数,包括充电电流、能量转换效率。The charging station parameter module provides basic electrical parameters of the station charging device, including charging current and energy conversion efficiency.
进一步地,步骤2所述建立列车运行仿真模块,包括车载ATO模型、有轨电车力学模型、车载超级电容模型、站台充电装置模型、列车状态更新计算模型和列车运行能耗计算模型,其中:Further, the establishment of the train operation simulation module described in step 2 includes the on-board ATO model, the tram mechanics model, the on-board super capacitor model, the platform charging device model, the train state update calculation model and the train operation energy consumption calculation model, wherein:
车载ATO模型:计算当前列车加速度,实现列车工况保持或转移,并将加速度值传递给有轨电车力学模型;On-board ATO model: Calculate the current train acceleration, realize the maintenance or transfer of the train condition, and transfer the acceleration value to the tram mechanics model;
有轨电车力学模型:根据车载ATO模型提供的加速度数据,进行列车牵引或制动力的计算,并将牵引或制动力值传递给列车运行能耗计算模型和列车状态更新计算模型;Tram mechanics model: Calculate the traction or braking force of the train according to the acceleration data provided by the on-board ATO model, and transmit the traction or braking force value to the train running energy consumption calculation model and the train state update calculation model;
车载超级电容模型:根据超级电容参数、列车运行功率需求、接触网段布局以及站台充电装置的布局计算当前超级电容的电压、电流以及功率;Vehicle supercapacitor model: Calculate the current voltage, current and power of the supercapacitor according to the supercapacitor parameters, train operating power requirements, the layout of the catenary segment and the layout of the platform charging device;
站台充电装置模型:根据充电装置参数对车载超级电容充电;Platform charging device model: charging the on-board super capacitor according to the parameters of the charging device;
列车状态更新计算模型:根据有轨电车力学模型提供的数据,进行动力学运算,确定列车当前速度、运行距离和运行时间,并将计算结果传递给车载ATO模型;Train status update calculation model: According to the data provided by the tram mechanics model, perform dynamic operations to determine the current speed, running distance and running time of the train, and transmit the calculation results to the on-board ATO model;
列车运行能耗计算模型:根据有轨电车力学模型提供的数据,计算出列车的区间运行时间和牵引能耗。Train operation energy consumption calculation model: According to the data provided by the tram mechanics model, the interval running time and traction energy consumption of the train are calculated.
进一步地,步骤3所述将车载储能配置与地面充电方案优化作为一个多目标优化问题,采用遗传算法NSGA-II进行车载储能配置与地面充电方案一体化优化,NSGA-II求解得到均匀分布的Pareto解集,从而确定最优的车载储能配置与地面充电方案,具体如下:Further, in step 3, the optimization of on-board energy storage configuration and ground charging scheme is regarded as a multi-objective optimization problem, and the genetic algorithm NSGA-II is used to optimize the integration of on-board energy storage configuration and ground charging scheme, and NSGA-II is solved to obtain a uniform distribution. The Pareto solution set of , so as to determine the optimal on-board energy storage configuration and ground charging scheme, as follows:
(1)编码:采用实数编码,编码的对象为车载储能配置与地面充电方案;(1) Coding: Real number coding is used, and the objects of coding are on-board energy storage configuration and ground charging scheme;
(2)确定种群数量:根据区间长度确定种群大小和迭代代数;(2) Determine the population size: determine the population size and iteration algebra according to the length of the interval;
(3)设置种群适应度方程:max{ftotal1,ftotal2},其中ftotal1为车载储能配置优化评价函数、ftotal2为地面充电方案优化评价函数,具体形式如下:(3) Set the population fitness equation: max{f total1 ,f total2 }, where f total1 is the optimization evaluation function of the on-board energy storage configuration, and f total2 is the optimization evaluation function of the ground charging scheme. The specific form is as follows:
其中,pi为列车在区间i内的通行情况,1≤i≤nsection,如果列车能够正常行驶过此区间,则pi值为1,否则pi值为0;nsection为线路单向区间个数;x为超级电容额定有效能量的总值,单位是kWh,范围为Emin≤x≤Emax;Emin和Emax分别为超级电容额定有效能量总值的最小值和最大值;y为安装的站台充电装置的套数,0≤y≤nsection+1;Eextra为列车运行过程中超级电容SOE的最低点,值为百分比;Among them, pi is the traffic situation of the train in section i , 1≤i≤n section , if the train can pass through this section normally, the value of pi is 1, otherwise the value of pi is 0; n section is the one-way line of the line The number of intervals; x is the total value of the rated effective energy of the super capacitor, the unit is kWh, and the range is E min ≤ x ≤ E max ; E min and E max are the minimum and maximum value of the total rated effective energy of the super capacitor, respectively; y is the number of installed platform charging devices, 0≤y≤n section +1; E extra is the lowest point of supercapacitor SOE during train operation, which is a percentage;
(4)计算父种群个体适应度值:由步骤2所述的列车运行仿真模块计算父种群个体适应度值;(4) Calculate the individual fitness value of the parent population: calculate the individual fitness value of the parent population by the train operation simulation module described in step 2;
(5)遗传操作:遗传操作包括选择、交叉和变异,选择操作采用锦标赛选择算子,交叉操作采用模拟二进制交叉,变异操作采用多项式变异,产生子种群;(5) Genetic operation: The genetic operation includes selection, crossover and mutation. The selection operation adopts the championship selection operator, the crossover operation adopts the simulated binary crossover, and the mutation operation adopts polynomial mutation to generate subpopulations;
(6)计算子种群个体适应度值:由步骤2所述的列车运行仿真模块计算子种群个体适应度值;(6) Calculate the individual fitness value of the sub-population: calculate the individual fitness value of the sub-population by the train operation simulation module described in step 2;
(7)产生下一代父种群:父种群与子种群共同参与竞争,采用精英和适应度值共享策略,得到下一代父种群;(7) Generating the next generation parent population: The parent population and the child population participate in the competition together, and adopt the elite and fitness value sharing strategy to obtain the next generation parent population;
(8)判断迭代是否满足终止条件:判断迭代代数是否达到最大迭代代数,若到达则结束并进入(9),若未到达则返回(5);(8) Judging whether the iteration satisfies the termination condition: Judging whether the iteration algebra reaches the maximum iteration algebra, if it is reached, it will end and enter (9), if not, return to (5);
(9)输出最优车载储能配置与地面充电方案:采用非支配标准、能耗灵敏度标准和时间均匀分布标准,选择车载储能配置与地面充电方案。(9) Output the optimal on-board energy storage configuration and ground charging scheme: select the on-board energy storage configuration and ground charging scheme using non-dominant criteria, energy consumption sensitivity criteria and time uniform distribution criteria.
进一步地,步骤(1)中所述编码的对象为车载储能配置与地面充电方案,具体为:对于车载储能配置采用实数编码方式,直接将额定有效能量的总值作为实数编码值;对于地面充电方案采用二进制编码方式,由于每站都有安装或不安装两种情况,直接用0表示不安装,1表示安装。Further, the object of the encoding described in step (1) is the on-board energy storage configuration and the ground charging scheme, specifically: for the on-board energy storage configuration, a real-number encoding method is adopted, and the total value of the rated effective energy is directly used as a real-number encoded value; for The ground charging scheme adopts the binary coding method. Since each station has two situations of installation or non-installation, directly use 0 to indicate no installation, and 1 to indicate installation.
进一步地,步骤(2)中所述根据区间长度确定种群大小和迭代代数,具体为:当区间长度小于600m,种群大小设置为60;当区间长度大于600m且小于1000m,种群大小设置为80;当区间长度大于1000m,种群大小设置为100;迭代代数均设为100。Further, in step (2), the population size and iterative algebra are determined according to the interval length, specifically: when the interval length is less than 600m, the population size is set to 60; when the interval length is greater than 600m and less than 1000m, the population size is set to 80; When the interval length is greater than 1000m, the population size is set to 100; the iteration algebra is set to 100.
进一步地,步骤(4)和步骤(6)中个体适应度值的计算步骤包括:Further, the calculation steps of the individual fitness value in step (4) and step (6) include:
(a)取种群中第i个个体并解码该个体对应的车载储能配置与地面充电方案,i初始值为0;(a) Take the i-th individual in the population and decode the vehicle-mounted energy storage configuration and ground charging scheme corresponding to the individual. The initial value of i is 0;
(b)将个体染色体解码的车载储能配置与地面充电方案传递给列车运行仿真模块;(b) Transfer the on-board energy storage configuration and ground charging scheme decoded by individual chromosomes to the train operation simulation module;
(c)进行列车运行仿真:列车运行仿真模块进行运行仿真,依据列车运行状态信息计算个体适应度值;(c) Carry out train operation simulation: the train operation simulation module performs operation simulation, and calculates the individual fitness value according to the train operation state information;
(d)保存个体的适应度值:个体的适应度1为车载储能配置优化评价函数值,个体的适应度2为地面充电方案优化评价函数值;(d) Save the fitness value of the individual: the
(e)判读当前个体是否是种群中的最后一个个体:若是最后一个个体,则计算结束;否则,i=i+1,跳转至(a)。(e) Determine whether the current individual is the last individual in the population: if it is the last individual, the calculation ends; otherwise, i=i+1, and jump to (a).
进一步地,步骤(7)中所述采用精英和适应度值共享策略,得到下一代父种群,具体为:将父种群与该父种群产生的子代种群组合,共同竞争产生下一代父种群,使父代中的优良个体进入下一代,最优个体不会丢失。Further, adopting the elite and fitness value sharing strategy described in step (7) to obtain the next generation parent population, specifically: combining the parent population and the child population generated by the parent population, and competing together to generate the next generation parent population, Make the excellent individuals in the parent generation into the next generation, and the optimal individual will not be lost.
以下结合附图和具体实施方式对本发明做进一步详细描述。The present invention will be described in further detail below with reference to the accompanying drawings and specific embodiments.
结合图1,本发明现代有轨电车车载储能配置与地面充电方案的一体化优化方法,包括以下步骤:1, the integrated optimization method of the on-board energy storage configuration and ground charging scheme of the modern tram of the present invention includes the following steps:
步骤1,建立基本数据模块;
所述基本数据模块包括线路数据模块、列车属性数据模块、ATO参数模块、超级电容参数模块、充电站参数模块,该五个模块均为数据输入模块,为车载储能配置与地面充电方案一体化优化提供初始参数,其中:The basic data module includes a line data module, a train attribute data module, an ATO parameter module, a supercapacitor parameter module, and a charging station parameter module. These five modules are all data input modules, which integrate the on-board energy storage configuration with the ground charging scheme. Optimization provides initial parameters, where:
列车属性数据模块,提供列车运行的基本运行参数,包括列车编组、载客量、基本阻力参数、逆变器效率、牵引制动特性等参数;The train attribute data module provides basic operating parameters of train operation, including train formation, passenger capacity, basic resistance parameters, inverter efficiency, traction braking characteristics and other parameters;
ATO配置模块,配置ATO系统的基本特征量,包括最大牵引加速度、最大制动加速度、最大冲击极限、最大运行速度等参数;The ATO configuration module configures the basic characteristic quantities of the ATO system, including parameters such as maximum traction acceleration, maximum braking acceleration, maximum impact limit, and maximum operating speed;
超级电容参数模块,提供车载超级电容的基本电气参数,包括超级电容容值、最高工作电压、最低工作电压、能量转换效率等参数;The supercapacitor parameter module provides the basic electrical parameters of the vehicle supercapacitor, including the supercapacitor capacitance, maximum working voltage, minimum working voltage, energy conversion efficiency and other parameters;
充电站参数模块,提供站台充电装置的基本电气参数,包括充电电流、能量转换效率等参数。The charging station parameter module provides the basic electrical parameters of the charging device on the station, including parameters such as charging current and energy conversion efficiency.
步骤2,建立车载储能配置与地面充电方案评价模块,评价当前车载储能配置与地面充电方案的优劣性;Step 2, establish an evaluation module for on-board energy storage configuration and ground charging scheme, and evaluate the pros and cons of the current on-board energy storage configuration and ground charging scheme;
结合图2,所述建立车载储能配置与地面充电方案评价模块即建立列车运行仿真模块,包括:With reference to Figure 2, the establishment of the on-board energy storage configuration and ground charging scheme evaluation module is to establish a train operation simulation module, including:
车载ATO模型:计算当前列车加速度,实现列车工况保持或转移,并将加速度值传递给列车模型和运行计算模型;On-board ATO model: Calculate the current train acceleration, realize the maintenance or transfer of the train condition, and transfer the acceleration value to the train model and the operation calculation model;
列车模型:根据车载ATO模型提供的加速度数据,进行列车牵引或制动力的计算,并将牵引或制动力值传递给运行计算模型;Train model: Calculate the traction or braking force of the train according to the acceleration data provided by the on-board ATO model, and transmit the traction or braking force value to the operation calculation model;
车载超级电容模型:根据当前列车的运行功率需求、接触网段布局以及站台充电装置的布局计算当前超级电容的电压、电流以及功率;On-board supercapacitor model: Calculate the voltage, current and power of the current supercapacitor according to the current train's operating power requirements, the layout of the catenary segment and the layout of the platform charging device;
站台充电装置模型:根据当前充电装置的参数设置对车载超级电容充能;Platform charging device model: charge the vehicle super capacitor according to the current charging device parameter settings;
列车状态更新计算模型:根据车载ATO模型和列车模型提供的数据,进行动力学运算,确定列车当前速度、运行距离和运行时间,并将计算结果传递给能耗、时间计算模型;Train status update calculation model: According to the data provided by the on-board ATO model and the train model, perform dynamic operations to determine the current speed, running distance and running time of the train, and transmit the calculation results to the energy consumption and time calculation models;
列车运行能耗计算模型:根据运行计算模型提供的数据,计算出列车的区间运行时间和牵引能耗。Train operation energy consumption calculation model: According to the data provided by the operation calculation model, the interval running time and traction energy consumption of the train are calculated.
步骤3,建立基于多目标遗传算法NSGA-II的车载储能配置与地面充电方案一体化优化方法,确定最优车载储能配置与地面充电方案,如图3所示,具体步骤如下:Step 3: Establish an integrated optimization method for on-board energy storage configuration and ground charging scheme based on multi-objective genetic algorithm NSGA-II, and determine the optimal on-board energy storage configuration and ground charging scheme, as shown in Figure 3. The specific steps are as follows:
(1)编码:采用实数编码,编码的对象为车载储能配置与地面充电方案;(1) Coding: Real number coding is used, and the objects of coding are on-board energy storage configuration and ground charging scheme;
(2)确定种群数量:根据区间长度确定种群大小和迭代代数;(2) Determine the population size: determine the population size and iteration algebra according to the length of the interval;
(3)设置种群适应度方程:max{ftotal1,ftotal2},其中ftotal1为车载储能配置优化评价函数、ftotal2为地面充电方案优化评价函数,具体形式如下:(3) Set the population fitness equation: max{f total1 ,f total2 }, where f total1 is the optimization evaluation function of the on-board energy storage configuration, and f total2 is the optimization evaluation function of the ground charging scheme. The specific form is as follows:
其中,pi为列车在区间i(1≤i≤nsection)内的通行情况,如果列车能够正常行驶过此区间,则值为1,否则值为0;Among them, pi is the traffic situation of the train in the section i (1≤i≤n section ), if the train can pass through this section normally, the value is 1, otherwise the value is 0;
nsection为线路单向区间个数;n section is the number of one-way sections of the line;
x为超级电容额定有效能量的总值,单位是kWh,范围为Emin≤x≤Emax,Emin和Emax分别为超级电容额定有效能量总值的最小值和最大值;x is the total value of the rated effective energy of the supercapacitor, the unit is kWh, and the range is Emin≤x≤Emax , Emin and Emax are the minimum and maximum value of the total rated effective energy of the supercapacitor , respectively;
y为安装的站台充电装置的套数,0≤y≤nsection+1;y is the number of installed station charging devices, 0≤y≤n section +1;
Eextra为列车运行过程中超级电容SOE的最低点,其值为百分比;E extra is the lowest point of supercapacitor SOE during train operation, and its value is a percentage;
(4)计算父种群个体适应度值:由步骤2所述的车载储能配置与地面充电方案评价模块计算父种群个体适应度值;(4) Calculate the individual fitness value of the parent population: calculate the individual fitness value of the parent population by the on-board energy storage configuration and ground charging scheme evaluation module described in step 2;
(5)遗传操作:遗传操作包括选择、交叉和变异,选择操作采用锦标赛选择算子,交叉操作采用模拟二进制交叉,变异操作采用多项式变异,产生子种群;(5) Genetic operation: The genetic operation includes selection, crossover and mutation. The selection operation adopts the championship selection operator, the crossover operation adopts the simulated binary crossover, and the mutation operation adopts polynomial mutation to generate subpopulations;
(6)计算子种群个体适应度值:由步骤2所述的车载储能配置与地面充电方案评价模块计算子种群个体适应度值,步骤(4)和步骤(6)中所述个体适应度值计算步骤包括:(6) Calculate the individual fitness value of the sub-population: The individual fitness value of the sub-population is calculated by the on-board energy storage configuration and ground charging scheme evaluation module described in step 2. The individual fitness value in steps (4) and (6) The value calculation steps include:
(a)取种群中第i个个体并计算该个体对应的车载储能配置与地面充电方案,i初始值为0;(a) Take the i-th individual in the population and calculate the vehicle-mounted energy storage configuration and ground charging scheme corresponding to the individual, where the initial value of i is 0;
(b)将个体染色体转化的车载储能配置与地面充电方案传递给列车运行仿真模块;(b) Transfer the on-board energy storage configuration and ground charging scheme transformed by individual chromosomes to the train operation simulation module;
(c)进行列车运行仿真:调用车载储能配置与地面充电方案评价模块进行运行仿真,依据列车运行状态信息计算个体适应度值;(c) Carry out train operation simulation: call the on-board energy storage configuration and ground charging scheme evaluation module to carry out operation simulation, and calculate the individual fitness value according to the train operation state information;
(d)保存个体的适应度值:个体的适应度1为车载储能配置优化评价函数值,个体的适应度2为地面充电方案优化评价函数值;(d) Save the fitness value of the individual: the
(e)判读当前个体是否是种群中的最后一个个体:若是最后一个个体,则计算结束;否则,i=i+1,跳转至(a)。(e) Determine whether the current individual is the last individual in the population: if it is the last individual, the calculation ends; otherwise, i=i+1, and jump to (a).
(7)产生下一代父种群:父种群与子种群共同参与竞争,采用精英和适应度值共享策略,得到下一代父种群,具体为:将父种群与该父种群产生的子代种群组合,共同竞争产生下一代父种群,确保父代中的优良个体进入下一代,最优个体不会丢失。(7) Generating the next-generation parent population: The parent population and the child population participate in the competition together, and adopt the elite and fitness value sharing strategy to obtain the next-generation parent population, specifically: combining the parent population with the child population generated by the parent population, Common competition produces the next generation of parent population, ensuring that the excellent individuals in the parent generation enter the next generation, and the optimal individual will not be lost.
(8)判断迭代是否满足终止条件:判断迭代代数是否达到最大迭代代数,若到达则结束并进入(9),若未到达则返回(5)。(8) Judging whether the iteration satisfies the termination condition: Judging whether the iteration algebra reaches the maximum iteration algebra, if it is reached, end and enter (9), if not, return to (5).
(9)输出最优车载储能配置与地面充电方案:采用非支配标准、能耗灵敏度标准和时间均匀分布标准,选择车载储能配置与地面充电方案。(9) Output the optimal on-board energy storage configuration and ground charging scheme: select the on-board energy storage configuration and ground charging scheme using non-dominant criteria, energy consumption sensitivity criteria and time uniform distribution criteria.
实施例1Example 1
现以城市轨道交通中某条现代有轨电车线路为例,其车载储能配置与地面充电方案的设计步骤如下:Now take a modern tram line in urban rail transit as an example, the design steps of its on-board energy storage configuration and ground charging scheme are as follows:
首先,输入线路数据、列车属性数据、ATO参数、超级电容参数、充电站参数,确定仿真区间,若数据无误,计算机进入车载储能配置与地面充电方案设计模块;First, input line data, train attribute data, ATO parameters, super capacitor parameters, and charging station parameters to determine the simulation interval. If the data is correct, the computer enters the vehicle energy storage configuration and ground charging scheme design module;
其次,进入车载储能配置与地面充电方案设计模块,具体步骤包括:Next, enter the vehicle energy storage configuration and ground charging scheme design module, the specific steps include:
步骤一:编码,即对每个种群编码。对于车载储能配置采用实数编码方式,直接将其额定有效能量的总值作为实数编码值;对于地面充电方案采用二进制编码方式,由于每站都有安装或不安装两种情况,直接用0表示不安装,1表示安装。Step 1: Encoding, that is, encoding each population. For the on-board energy storage configuration, the real number coding method is adopted, and the total value of its rated effective energy is directly used as the real number coding value; for the ground charging scheme, the binary coding method is adopted. Since each station has two situations, whether it is installed or not, it is directly represented by 0 Do not install, 1 means install.
步骤二:确定种群大小和代数,并初始化第一代父种群。根据区间长度确定种群大小,当区间长度小于600m,种群大小设置为60;当区间长度大于600m且小于1000m,种群大小设置为80;当区间长度大于1000m,种群大小设置为100;迭代代数均设为100。Step 2: Determine the population size and generation, and initialize the first-generation parent population. Determine the population size according to the interval length. When the interval length is less than 600m, the population size is set to 60; when the interval length is greater than 600m and less than 1000m, the population size is set to 80; when the interval length is greater than 1000m, the population size is set to 100; is 100.
步骤三:设置种群的适应度方程,目标是车载储能配置最小,同时站台充电装置套数最少。车载储能配置与地面充电方案一体化优化是一个两目标优化的问题,其数学模型为:max{ftotal1,ftotal2},其中ftotal1为车载储能配置优化评价函数、ftotal2为地面充电方案优化评价函数,具体形式如下:Step 3: Set the fitness equation of the population. The goal is to minimize the configuration of on-board energy storage and the minimum number of charging devices on the platform. The integrated optimization of on-board energy storage configuration and ground charging scheme is a two-objective optimization problem. The mathematical model is: max{f total1 ,f total2 }, where f total1 is the optimization evaluation function of on-board energy storage configuration, and f total2 is ground charging. The scheme optimization evaluation function, the specific form is as follows:
其中,pi为列车在区间i(1≤i≤nsection)内的通行情况,如果列车能够正常行驶过此区间,则值为1,否则值为0;Among them, pi is the traffic situation of the train in the section i (1≤i≤n section ), if the train can pass through this section normally, the value is 1, otherwise the value is 0;
nsection为线路单向区间个数;n section is the number of one-way sections of the line;
x为超级电容额定有效能量的总值,单位是kWh,范围为Emin≤x≤Emax,Emin和Emax分别为超级电容额定有效能量总值的最小值和最大值;x is the total value of the rated effective energy of the supercapacitor, the unit is kWh, and the range is Emin≤x≤Emax , Emin and Emax are the minimum and maximum value of the total rated effective energy of the supercapacitor , respectively;
y为安装的站台充电装置的套数,0≤y≤nsection+1;y is the number of installed station charging devices, 0≤y≤n section +1;
Eextra为列车运行过程中超级电容SOE的最低点,其值为百分比。E extra is the lowest point of supercapacitor SOE during train operation, and its value is a percentage.
步骤四:将父种群传递给适应度计算模型,由其计算出种群每个个体的适应度值。Step 4: Pass the parent population to the fitness calculation model, which calculates the fitness value of each individual in the population.
步骤五:遗传操作:由父种群通过遗传操作产生子种群,其中遗传操作主要包括选择、交叉和变异。选择操作采用锦标赛选择算子,交叉操作采用模拟二进制交叉,变异操作采用多项式变异,产生子种群。Step 5: Genetic manipulation: The parent population generates a subpopulation through genetic manipulation, which mainly includes selection, crossover and mutation. The selection operation adopts the tournament selection operator, the crossover operation adopts the simulated binary crossover, and the mutation operation adopts the polynomial mutation to generate subpopulations.
步骤六:子种群适应度函数计算:将子种群传递给适应度计算模型,由其计算出种群每个个体的适应度值。Step 6: Subpopulation fitness function calculation: The subpopulation is passed to the fitness calculation model, which calculates the fitness value of each individual in the population.
步骤七:父种群与子种群共同参与竞争,采用精英和适应度值共享策略,得到下一代父种群,这有利于确保父代中的优良个体进入下一代,并通过对种群中所有个体的分级存放,使得最优个体不会丢失,同时,NSGA-II的适应度共享策略是建立在拥挤距离算子基础上的,用以保持种群的多样性和分布的均匀;Step 7: The parent population and the child population compete together, adopt the elite and fitness value sharing strategy to obtain the next generation parent population, which is conducive to ensuring that the excellent individuals in the parent generation enter the next generation, and through the classification of all individuals in the population Stored, so that the optimal individual will not be lost. At the same time, the fitness sharing strategy of NSGA-II is based on the crowding distance operator to maintain the diversity and uniform distribution of the population;
步骤八:判断迭代是否满足终止条件。Step 8: Determine whether the iteration satisfies the termination condition.
步骤九:采用非支配标准,得到最优车载储能配置与地面充电方案解集。Step 9: Using non-dominant criteria, obtain the optimal solution set of on-board energy storage configuration and ground charging scheme.
综上所述,本发明方法可以得到线路的最优车载储能配置与地面充电方案解集,为工程项目中列车的选型、线路的设计提供数据与理论支撑,具有较高的使用价值和应用前景。To sum up, the method of the present invention can obtain the optimal on-board energy storage configuration of the line and the solution set of the ground charging scheme, provide data and theoretical support for the selection of trains and the design of lines in engineering projects, and has high use value and reliability. application prospects.
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CN108909464A (en) * | 2018-05-25 | 2018-11-30 | 广州有轨电车有限责任公司 | A kind of estimating system and method for energy storage type tramcar course continuation mileage |
CN109606204A (en) * | 2018-11-05 | 2019-04-12 | 北京交通大学 | The power supply system and method for the vehicle-mounted energy storage device mobile charging of municipal rail train can be achieved |
CN110422161A (en) * | 2019-06-27 | 2019-11-08 | 同济大学 | Energize control method, system and its logistics device of application |
CN110633847A (en) * | 2019-09-02 | 2019-12-31 | 华南理工大学 | A charging strategy control method based on a modular split battery swap station |
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CN108909464A (en) * | 2018-05-25 | 2018-11-30 | 广州有轨电车有限责任公司 | A kind of estimating system and method for energy storage type tramcar course continuation mileage |
CN109606204A (en) * | 2018-11-05 | 2019-04-12 | 北京交通大学 | The power supply system and method for the vehicle-mounted energy storage device mobile charging of municipal rail train can be achieved |
CN110422161A (en) * | 2019-06-27 | 2019-11-08 | 同济大学 | Energize control method, system and its logistics device of application |
CN110633847A (en) * | 2019-09-02 | 2019-12-31 | 华南理工大学 | A charging strategy control method based on a modular split battery swap station |
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