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CN106354190B - A kind of photovoltaic maximum power point method for tracing based on multi-objective optimization algorithm - Google Patents

A kind of photovoltaic maximum power point method for tracing based on multi-objective optimization algorithm Download PDF

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CN106354190B
CN106354190B CN201610871230.4A CN201610871230A CN106354190B CN 106354190 B CN106354190 B CN 106354190B CN 201610871230 A CN201610871230 A CN 201610871230A CN 106354190 B CN106354190 B CN 106354190B
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潘林强
何成
姜素霞
杨小亮
吴庭芳
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Zhengzhou University of Light Industry
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Abstract

本发明公开了一种基于多目标优化算法的光伏发电最大功率点追踪方法,该方法包括以下步骤:创建光伏发电模型,构造多目标优化问题;对控制电压进行均匀采点,缩小变量的取值范围;求解构造的多目标优化问题,输出获得最大功率点控制电压。本发明基于多目标优化算法求解光伏阵列最大功率点,能够快速准确的追踪光伏阵列最大功率点,提高光伏发电系统的效率发电。同时,本发明考虑了光照强度和太阳能电池板表面温度改变的因素所造成的最大功率点迁移,具有极高的自适应性和准确性,能够克服局部遮蔽造成无法找到全局最优点的问题。

The invention discloses a method for tracking the maximum power point of photovoltaic power generation based on a multi-objective optimization algorithm. The method includes the following steps: creating a photovoltaic power generation model, constructing a multi-objective optimization problem; uniformly sampling points for control voltage, and reducing the value of variables Scope; solve the multi-objective optimization problem of the structure, and output the control voltage to obtain the maximum power point. The invention solves the maximum power point of the photovoltaic array based on a multi-objective optimization algorithm, can quickly and accurately track the maximum power point of the photovoltaic array, and improves the efficiency of the photovoltaic power generation system for power generation. At the same time, the invention considers the migration of the maximum power point caused by the change of the illumination intensity and the surface temperature of the solar panel, has extremely high adaptability and accuracy, and can overcome the problem that the global optimum point cannot be found due to local shading.

Description

一种基于多目标优化算法的光伏发电最大功率点追踪方法A method for tracking maximum power point of photovoltaic power generation based on multi-objective optimization algorithm

技术领域technical field

本发明涉及太阳能光伏发电技术领域,尤其涉及一种基于多目标优化算法的光伏发电最大功率点追踪方法。The invention relates to the technical field of solar photovoltaic power generation, in particular to a method for tracking the maximum power point of photovoltaic power generation based on a multi-objective optimization algorithm.

背景技术Background technique

目前,光伏发电作为可再生能源领域的重点,提高光伏发电系统的效率是目前研究的热点问题之一。其中一种有效的方法是实时跟踪发电系统的最大功率点。由于光伏电池的输出特性(P-V曲线)具有非线性,且这种非线性受光照强度、电池表面温度、负载等因素影响,因此实时跟踪最大功率点非常困难。尤其是当光伏发电系统处于局部遮蔽的情况下,光伏发电系统的P-V曲线会呈现一种多峰的状况。这些多峰通常会干扰最大功率点追踪,大大降低最大功率追踪算法的效率,使得系统陷入局部最优而不能找到全局最优点。At present, photovoltaic power generation is the focus of the field of renewable energy, and improving the efficiency of photovoltaic power generation systems is one of the hot issues in current research. One of the effective methods is to track the maximum power point of the power generation system in real time. Since the output characteristics (P-V curve) of photovoltaic cells are nonlinear, and this nonlinearity is affected by factors such as light intensity, battery surface temperature, load, etc., it is very difficult to track the maximum power point in real time. Especially when the photovoltaic power generation system is partially shaded, the P-V curve of the photovoltaic power generation system will present a multi-peak situation. These multi-peaks usually interfere with the maximum power point tracking, greatly reducing the efficiency of the maximum power tracking algorithm, making the system fall into local optimum and unable to find the global optimum.

传统的最大功率点追踪方法有扰动观察法(P&O)、查表法、电导增量法(IncCond)等。它们各有优缺点。扰动观察法实现简单,价格便宜,但是无法应对环境快速改变的情况,而且很难确定跟踪步长(步长过长会导致输出功率急剧变化;步长过短则容易陷入局部最优且追踪速度较慢)。查表法容易实现,价格便宜,但是无法应对光伏发电系统部分遮蔽问题。电导增量法可以在环境变化迅速时及时获得有效的解决方案,但是其控制电路复杂且极易陷入局部最优。多目标优化算法是演化计算领域的一个重要分支,旨在同时优化两个及以上相互矛盾的目标,以获得最佳的折中解。其在现实社会中被广泛运用,是一种有效解决工业中具有多个目标的优化问题的方法。Traditional maximum power point tracking methods include perturbation and observation (P&O), look-up table method, incremental conductance method (IncCond), etc. They each have advantages and disadvantages. The perturbation-and-observe method is simple to implement and cheap, but it cannot cope with rapid changes in the environment, and it is difficult to determine the tracking step size (too long a step size will cause a sharp change in output power; too short a step size will easily fall into a local optimum and the tracking speed slower). The look-up table method is easy to implement and cheap, but it cannot deal with the partial shading of photovoltaic power generation systems. The incremental conductance method can obtain an effective solution in time when the environment changes rapidly, but its control circuit is complex and it is easy to fall into local optimum. Multi-objective optimization algorithm is an important branch in the field of evolutionary computing, which aims to optimize two or more contradictory objectives at the same time to obtain the best compromise solution. It is widely used in real society and is an effective method to solve optimization problems with multiple objectives in industry.

实用新型内容Utility model content

本发明的目的是提供一种基于多目标优化算法的光伏发电最大功率点追踪方法,能够针对太阳能辐射强度改变急剧的情况,能够快速追踪光伏最大功率点。The purpose of the present invention is to provide a method for tracking the maximum power point of photovoltaic power generation based on a multi-objective optimization algorithm, which can quickly track the maximum power point of photovoltaics for the situation where the intensity of solar radiation changes sharply.

本发明采用的技术方案为:The technical scheme adopted in the present invention is:

一种基于多目标优化算法的光伏发电最大功率点追踪方法,包括以下步骤A和步骤B;A method for tracking the maximum power point of photovoltaic power generation based on a multi-objective optimization algorithm, comprising the following steps A and B;

A:根据光伏发电模型和最大功率点追踪的目标,构造两个优化函数A: According to the photovoltaic power generation model and the goal of maximum power point tracking, construct two optimization functions

其中F1是在未知电压与电流下,真实电压电流模型与假设控制电压误差函数,即光伏模型精度函数,F2是当前时刻在未知电压电流下的输出功率,即光伏输出功率函数;Vx和Ix是模型电压和电流,Rs和Rsh分别是串联和并联电阻,ns是串联电阻数量,Vt是节热电压,I0是无光照下电路电流,IPV是光生电流;Among them, F 1 is the error function between the real voltage and current model and the hypothetical control voltage under the unknown voltage and current, that is, the photovoltaic model accuracy function, and F 2 is the output power under the unknown voltage and current at the current moment, that is, the photovoltaic output power function; V x and I x are the model voltage and current, R s and R sh are the series and parallel resistances respectively, ns is the number of series resistances, V t is the thermal saving voltage, I 0 is the circuit current without light, and I PV is the photogenerated current;

B:根据步骤A的模型,使多目标优化算法的光伏发电最大功率点追踪方法转变为函数的优化问题,即为寻找一组(Vx,Ix)使得函数F1的数值最小,函数F2的数值最大即可;定义任意一个电流Ix和电压Vx的组合对应后续多目标优化算法中的一个个体。B: According to the model in step A, the multi-objective optimization algorithm of photovoltaic power generation maximum power point tracking method is transformed into a function optimization problem, that is, to find a set of (V x , I x ) that minimizes the value of function F 1 , and the function F The maximum value of 2 is enough; any combination of current I x and voltage V x is defined to correspond to an individual in the subsequent multi-objective optimization algorithm.

所述的B步骤包括以下步骤:Described B step comprises the following steps:

步骤1:通过多次在光伏发电系统采样控制电压、电流和输出功率,确定光伏发电系统最大功率点电压电流的取值范围;Step 1: Determine the value range of voltage and current at the maximum power point of the photovoltaic power generation system by sampling the control voltage, current and output power in the photovoltaic power generation system multiple times;

步骤2:将步骤1采集到的数据、最大功率点电压电流的取值范围、算法终止条件的参数和N个个体代入多目标优化算法,最终输出N个对应输出功率大且模型误差小的控制电压电流对;Step 2: Substitute the data collected in step 1, the value range of the voltage and current at the maximum power point, the parameters of the algorithm termination condition, and N individuals into the multi-objective optimization algorithm, and finally output N corresponding control systems with large output power and small model error voltage current pair;

步骤3:将从步骤2中获得的N个个体的电压和电流值代入光伏发电模型Step 3: Substitute the voltage and current values of N individuals obtained from step 2 into the photovoltaic power generation model

其中,IPV是光生电流,Io无光照下输出电流,Np是并联电阻Rsh的数量,Ns是串联电阻Rs的数量,Vt是节温电压,计算出该模型左侧假设电路与真实电流的误差。Among them, IPV is the photogenerated current, Io is the output current without light, Np is the number of parallel resistors R sh , N s is the number of series resistors R s , V t is the junction temperature voltage, and the assumption on the left side of the model is calculated The error of the circuit from the true current.

步骤4:选取上述计算误差小于1%对应的个体作为候选解集,Step 4: Select the individual whose calculation error is less than 1% as the candidate solution set,

步骤5:从候选解集中选择对应输出功率最大的电压值作为当前时刻光伏最大功率点追踪控制电压。Step 5: Select the voltage value corresponding to the maximum output power from the candidate solution set as the photovoltaic maximum power point tracking control voltage at the current moment.

权利要求中所构造的多目标优化问题The multi-objective optimization problem constructed in the claims

包括以下步骤: Include the following steps:

A1:根据确定的控制电压Vx、电流Ix的取值范围,随机初始化N个个体,每个个体为一组电压和电流的组合,N个个体组成了初始种群;A1: According to the value range of the determined control voltage Vx and current Ix , randomly initialize N individuals, each individual is a combination of a set of voltage and current, and N individuals form the initial population;

B1:根据步骤A1中得到初始种群,先采用模拟二进制交叉产生N个新的个体,然后对这N个新的个体进行多项式变异,多项式变异后得到的N个个体构成子代种群;B1: according to the initial population obtained in step A1, first adopt simulated binary crossover to generate N new individuals, then carry out polynomial variation to these N new individuals, and the N individuals obtained after the polynomial variation form the offspring population;

所述的模拟二进制交叉具体如下:The simulated binary cross is as follows:

从A1中初始化的种群中随机选择两个个体x1和x2,在[0,1]上随机选择一个数k,按照如下形式得到新解x1’和x2’,其中X1’=0.5[(1+k)x1+(1-k)x2];X2’=0.5[(1-k)x1+(1+k)x2];所述的多项式变异具体如下:Randomly select two individuals x 1 and x 2 from the population initialized in A1, randomly select a number k on [0,1], and obtain new solutions x 1 ' and x 2 ' according to the following form, where X 1 '= 0.5[(1+k)x 1 +(1-k)x 2 ]; X 2 '=0.5[(1-k)x 1 +(1+k)x 2 ]; The polynomial variation is specifically as follows:

对随机选择一个个体z,将其突变为新的个体z’,其中z’=z+p(zmax-zmin),其中Randomly select an individual z, and mutate it into a new individual z', where z'=z+p(z max -z min ), where

p1=(z-zmin)/zmax-zmin,p2=(zmax-z)/(zmax-zmin)p 1 =(zz min )/z max -z min , p 2 =(z max -z)/(z max -z min )

zmin和zmax分别是z能取得的最小和最大值,u为[0,1]内的一个随机数p1和p2均为过渡性参数,z min and z max are the minimum and maximum values that z can obtain respectively, u is a random number in [0, 1] p 1 and p 2 are transitional parameters,

C1.合并A1中产生的初始种群和步骤B1中产生的子代种群,得到一个包含2N个个体的新种群,从里面选择N个质量更好的个体:选择的标准是非支配关系和稀疏度关系,优先选择非支配的个体,其次选择分布较为稀疏的个体;C1. Merge the initial population generated in A1 and the offspring population generated in step B1 to obtain a new population containing 2N individuals, and select N individuals with better quality from it: the selection criteria are non-domination relationship and sparsity relationship , the non-dominated individuals are selected first, and the individuals with a relatively sparse distribution are secondly selected;

D1.对步骤C1中得到的N个非支配的并且较为稀疏的个体,判断算法迭代R1、C1、D1步骤过程的次数是否达到临界值,如果没有达到迭代次数,继续迭代B1、C1、D1这些步骤;否则,步骤C1中选择保留的N个非支配的并且较为稀疏的个体即为权利要求2步骤2中所需要的个体。D1. For the N non-dominated and relatively sparse individuals obtained in step C1, judge whether the number of algorithm iterations R1, C1, and D1 reaches the critical value. If the number of iterations is not reached, continue to iterate B1, C1, and D1. Step; otherwise, the N non-dominant and relatively sparse individuals selected and retained in step C1 are the individuals required in step 2 of claim 2.

采用的光伏发电系统输出电压与电流关系模型为The output voltage and current relationship model of the photovoltaic power generation system is as follows:

其中IPV尸是光生电流,IO无光照下输出电流,Np是并联电阻Rsh的数量,Ns是串联电阻RS的数量,Vt是节温电压,V是控制电压,F是输出电流;令F=0时根据二分法可以求得开路电压V=Vmax,通过均匀采点输出控制电压得到对应的输出流Ix=[I1 I2 … Ik],进一步计算输出功率为Px=[P1 P2 … Pk](Pi=Vi·Ii),根据输出电压P中的最大值Pj=max[P1 P2 … Pk]得到光伏最大功率点所在范围为Vopt∈[Vj-1 Vj+1],该范围为原始搜索范围的2/k,k为采点的个数。Among them, I PV is the photogenerated current, I O is the output current without light, N p is the number of parallel resistance R sh , N s is the number of series resistance R S , V t is the junction temperature voltage, V is the control voltage, F is Output current; when F=0, the open circuit voltage V=V max can be obtained according to the dichotomy method, and the control voltage can be output through uniform sampling points Obtain the corresponding output flow I x =[I 1 I 2 ... I k ], further calculate the output power as P x = [P 1 P 2 ... P k ] (P i =V i ·I i ), according to the output voltage P The maximum value P j =max[P 1 P 2 … P k ], the range of the maximum photovoltaic power point is V opt ∈[V j-1 V j+1 ], which is 2/k of the original search range, k is the number of sampling points.

所述多目标优化算法采用了非支配排序和环境选择,本算法采用的种群规模为30,迭代次数为100,采用的新个体产生方式为模拟二进制交叉和多项式变异;同时,为了加快优化效率,设置多目标优化算法的种群规模为30,终止条件为迭代次数小于100次或者最优解改变量小于0.001;The multi-objective optimization algorithm uses non-dominated sorting and environment selection. The population size used in this algorithm is 30, and the number of iterations is 100. The new individual generation method adopted is to simulate binary crossover and polynomial mutation; meanwhile, in order to speed up the optimization efficiency, Set the population size of the multi-objective optimization algorithm to 30, and the termination condition is that the number of iterations is less than 100 or the optimal solution change is less than 0.001;

步骤5中求解获得的解集中,选取输出功率最大的个体的电压作为光伏阵列控制电压。From the solution set obtained by solving in step 5, the voltage of the individual with the largest output power is selected as the control voltage of the photovoltaic array.

所述步骤1中确定控制电压、电流的取值范围步骤如下:In the step 1, the steps of determining the value range of the control voltage and the current are as follows:

首先,对控制电压等差距进行均匀采点:First, evenly collect points for the control voltage and other gaps:

根据采点对应得到的输出功率得到最佳控制电压所在区间:根据光伏发电系统数学模型,计算当模型电流为0时的开路电压,在开路电压到0的范围内均匀选取若干模型电压;According to the output power corresponding to the sampling point, the optimal control voltage range is obtained: according to the mathematical model of the photovoltaic power generation system, the open circuit voltage is calculated when the model current is 0, and several model voltages are uniformly selected within the range from the open circuit voltage to 0;

然后,计算得到与选取的若干模型电压对应的模型电流,并进一步计算得到各个输出功率;Then, calculate the model currents corresponding to the selected model voltages, and further calculate the output powers;

最后,根据当前最大输出功率,确定最大输出功率点所对应的电压、电流所在区间,将该区间作为待优化问题的变量的范围即控制电压、电流的取值范围。Finally, according to the current maximum output power, determine the range of voltage and current corresponding to the maximum output power point, and use this range as the range of variables to be optimized, that is, the value range of the control voltage and current.

本发明基于多目标优化算法,在计算过程中不需要对光伏发电系统电压和电流数据采样,同时规避了光伏电压电流模型不可直接求解的问题,能够实时快速的全局最大功率点追踪,避免光伏发电系统在局部遮蔽情况下陷入局部最优,大大提高了光伏发电系统的发电效率。同时,本发明考虑了光照强度和太阳能电池板表面温度改变的情况,具有极高的自适应性和准确性,能够克服局部遮蔽造成无法找到全局最优点的问题。Based on a multi-objective optimization algorithm, the present invention does not need to sample the voltage and current data of the photovoltaic power generation system during the calculation process, and at the same time avoids the problem that the photovoltaic voltage and current model cannot be directly solved, and can track the global maximum power point in real time and quickly to avoid photovoltaic power generation. The system falls into a local optimum in the case of partial shading, which greatly improves the power generation efficiency of the photovoltaic power generation system. At the same time, the invention takes into account the changes in the intensity of light and the surface temperature of the solar panel, has extremely high adaptability and accuracy, and can overcome the problem that the global optimum point cannot be found due to local shading.

附图说明Description of drawings

图1为本发明方法的步骤流程图;Fig. 1 is the flow chart of the steps of the inventive method;

图2为本发明最大功率点追踪算法流程图;Fig. 2 is a flow chart of the maximum power point tracking algorithm of the present invention;

图3为本发明涉及到的多目标优化算法流程图;Fig. 3 is the flow chart of the multi-objective optimization algorithm involved in the present invention;

图4为本发明结束多目标算法后有效解选择方法流程图。Fig. 4 is a flow chart of the effective solution selection method after the multi-objective algorithm ends in the present invention.

具体实施方式detailed description

如图1、2、3和4所示,本发明包括一种基于多目标优化算法的光伏发电最大功率点追踪方法,包括以下步骤:As shown in Figures 1, 2, 3 and 4, the present invention includes a method for tracking the maximum power point of photovoltaic power generation based on a multi-objective optimization algorithm, comprising the following steps:

A:根据光伏发电模型和最大功率点追踪的目标,构造两个优化函数(光伏输出功率和光伏模型精度) A: According to the photovoltaic power generation model and the goal of maximum power point tracking, construct two optimization functions (photovoltaic output power and photovoltaic model accuracy)

其中F1是在未知电压与电流下,真实电压电流模型与假设控制电压误差函数,F2是当前时刻在未知电压电流下的输出功率,Vx和Ix是模型电压和电流,Rs和Rsh分别是串联和并联电阻,ns是串联电阻数量,Vt是节热电压,I0是无光照下电路电流,IPV是光生电流;Among them, F 1 is the error function between the real voltage and current model and the assumed control voltage under the unknown voltage and current, F 2 is the output power at the current moment under the unknown voltage and current, V x and I x are the model voltage and current, R s and R sh is the series and parallel resistances, ns is the number of series resistances, V t is the heat-saving voltage, I 0 is the circuit current without light, and I PV is the photogenerated current;

B:根据步骤A的模型,使多目标优化算法的光伏发电最大功率点追踪方法转变为函数的优化问题,即为寻找一组(Vx,Ix)使得函数F1的数值最小,函数F2的数值最大即可;定义任意一个电流Ix和电压Vx的组合对应后续多目标优化算法中的一个个体。B: According to the model in step A, the multi-objective optimization algorithm of photovoltaic power generation maximum power point tracking method is transformed into a function optimization problem, that is, to find a set of (V x , I x ) that minimizes the value of function F 1 , and the function F The maximum value of 2 is enough; any combination of current I x and voltage V x is defined to correspond to an individual in the subsequent multi-objective optimization algorithm.

所述的B步骤包括以下步骤:Described B step comprises the following steps:

步骤1:通过多次在光伏发电系统采样控制电压、电流和输出功率,确定光伏发电系统最大功率点电压电流的取值范围;Step 1: Determine the value range of voltage and current at the maximum power point of the photovoltaic power generation system by sampling the control voltage, current and output power in the photovoltaic power generation system multiple times;

步骤2:将步骤1采集到的数据、确定的控制电压、电流的取值范围、算法终止条件的参数和N个个体代入多目标优化算法,最终输出N个对应输出功率大且模型误差小的个体;Step 2: Substitute the data collected in step 1, the determined control voltage, the value range of current, the parameters of the algorithm termination condition and N individuals into the multi-objective optimization algorithm, and finally output N corresponding to large output power and small model error individual;

步骤3:将从步骤2中获得的N个个体的电压和电流值代入光伏发电模型Step 3: Substitute the voltage and current values of N individuals obtained from step 2 into the photovoltaic power generation model

(IPV是光生电流,Io无光照下输出电流,Np是并联电阻Rsh的数量,Ns是串联电阻Rs的数量,Vt是节温电压),计算出该模型左侧假设电路与真实电流的误差。(IP PV is the photogenerated current, I o is the output current without light, N p is the number of parallel resistors R sh , N s is the number of series resistors R s , V t is the junction temperature voltage), and calculate the assumption on the left side of the model The error of the circuit from the true current.

步骤4:选取上述计算误差小于1%对应的个体作为候选解集,Step 4: Select the individual whose calculation error is less than 1% as the candidate solution set,

步骤5:从候选解集中选择对应输出功率最大的电压值作为当前时刻光伏最大功率点追踪控制电压。Step 5: Select the voltage value corresponding to the maximum output power from the candidate solution set as the photovoltaic maximum power point tracking control voltage at the current moment.

步骤2中所述多目标优化算法优化权利要求1中所构造的多目标优化问题The multi-objective optimization algorithm described in step 2 optimizes the multi-objective optimization problem constructed in claim 1

包括以下步骤: Include the following steps:

A:根据确定的控制电压Vx、电流Ix的取值范围,随机初始化N个个体,每个个体为一组电压和电流的组合,N个个体组成了初始种群;A: According to the value range of the determined control voltage Vx and current Ix , randomly initialize N individuals, each individual is a combination of a set of voltage and current, and N individuals form the initial population;

B:根据步骤A中得到初始种群,先采用模拟二进制交叉产生N个新的个体,然后对这N个新的个体进行多项式变异,多项式变异后得到的N个个体构成子代种群;B: According to obtaining initial population in step A, first adopt simulated binary crossover to generate N new individuals, then carry out polynomial variation to these N new individuals, the N individuals obtained after polynomial variation constitute subpopulation;

所述的模拟二进制交叉具体如下:The simulated binary cross is as follows:

从A中初始化的种群中随机选择两个个体x1和x2,在[0,1]上随机选择一个数k,按照如下形式得到新解x1’和x2’,其中x1’=0.5[(1+k)x1+(1-k)x2];x2’=0.5[(1-k)x1+(1+k)x2];所述的多项式变异具体如下:Randomly select two individuals x 1 and x 2 from the population initialized in A, randomly select a number k on [0,1], and obtain new solutions x 1 ' and x 2 ' according to the following form, where x 1 '= 0.5[(1+k)x 1 +(1-k)x 2 ]; x 2 '=0.5[(1-k)x 1 +(1+k)x 2 ]; the polynomial variation is as follows:

对随机选择一个个体z,将其突变为新的个体z’,其中z’=z+p(zmax-zmin),其中Randomly select an individual z, and mutate it into a new individual z', where z'=z+p(z max -z min ), where

p1=(z-zmin)/zmax-zmin,p2=(zmax-z)/(zmax-zmin)p 1 =(zz min )/z max -z min ,p 2 =(z max -z)/(z max -z min )

zmin和zmax分别是z能取的最小和最大值,u为[0,1]内的一个随机数。(p1和p2均为过渡性参数)z min and z max are the minimum and maximum value that z can take respectively, and u is a random number in [0,1]. (p 1 and p 2 are transitional parameters)

C.合并A中产生的初始种群和B中产生的子代种群,得到一个包含2N个个体的新种群,从里面选择N个质量更好的个体:选择的标准是非支配关系和稀疏度关系,优先选择非支配的个体(非支配也就没有一个个体的输出功率和模型误差都比当前个体都好),其次选择分布较为稀疏的个体(离其他点的距离较远);C. Merge the initial population generated in A and the offspring population generated in B to obtain a new population containing 2N individuals, and select N individuals with better quality from it: the selection criteria are non-domination relationship and sparsity relationship, Prioritize the selection of non-dominated individuals (non-dominated means that there is no individual whose output power and model error are better than the current individual), and secondly select individuals with a relatively sparse distribution (farther away from other points);

D.对步骤C中得到的N个非支配的并且较为稀疏的个体,判断算法迭代B、C、D过程的次数是否达到临界值,如果没有达到迭代次数,继续迭代B、C、D这些步骤;否则,步骤C中选择保留的N个非支配的并且较为稀疏的个体即为权利要求2步骤2中所需要的个体。D. For the N non-dominated and relatively sparse individuals obtained in step C, judge whether the number of algorithm iterations B, C, and D reaches the critical value. If the number of iterations has not reached, continue to iterate steps B, C, and D Otherwise, the N non-dominant and relatively sparse individuals selected and retained in step C are the individuals required in step 2 of claim 2.

所述光伏发电系统控制电压电流关系模型为 The control voltage-current relationship model of the photovoltaic power generation system is

(IPV是光生电流,Io无光照下输出电流,Np是并联电阻Rsh的数量,Ns是串联电阻Rs的数量,Vt是节温电压,V是控制电压,F是输出电流)。令F=0时根据二分法可以求得开路电压V=Vmax,通过均匀采点输出控制电压得到对应的输出流Ix=[I1 I2 … Ik],进一步计算输出功率为Px=[P1 P2 … Pk](Pi=Vi·Ii),根据输出电压P中的最大值Pj=max[P1 P2 … Pk]得到光伏最大功率点所在范围为Vopt∈[Vj-1 Vj+1],该范围为原始搜索范围的2/k,k为踩点的个数。(I PV is the photogenerated current, I o the output current without light, N p is the number of parallel resistance R sh , N s is the number of series resistance R s , V t is the junction temperature voltage, V is the control voltage, F is the output current). When F=0, the open circuit voltage V=V max can be obtained according to the dichotomy method, and the control voltage can be output through uniform sampling points Get the corresponding output flow I x = [I 1 I 2 ... I k ], further calculate the output power as P x = [P 1 P 2 ... P k ] (P i = V i ·I i ), according to the output voltage P The maximum value P j =max[P 1 P 2 … P k ], the range of the maximum photovoltaic power point is V opt ∈[V j-1 V j+1 ], which is 2/k of the original search range, k is the number of stepping points.

所述多目标优化算法采用了非支配排序和环境选择(环境选择依据非支配排序和拥挤距离选择),本算法采用的种群规模为30,迭代次数为100,采用的新个体产生方式为模拟二进制交叉和多项式变异。同时,为了加快优化效率,设置多目标优化算法的种群规模为30(该种群包含30个步骤1定义的任意产生的个体),终止条件为迭代次数小于100次或者最优解改变量小于0.001(该数值对应的是在可接受误差范围内的最快的求解设置);The multi-objective optimization algorithm uses non-dominated sorting and environment selection (environment selection is based on non-dominated sorting and congestion distance selection), the population size used in this algorithm is 30, the number of iterations is 100, and the new individual generation method adopted is simulated binary Crossover and multinomial mutation. At the same time, in order to speed up the optimization efficiency, the population size of the multi-objective optimization algorithm is set to 30 (the population contains 30 randomly generated individuals defined in step 1), and the termination condition is that the number of iterations is less than 100 or the optimal solution change is less than 0.001 ( This value corresponds to the fastest solution setting within the acceptable error range);

求解获得的解集中,选取输出功率最大的个体的电压作为光伏阵列控制电压。From the solution set obtained by solving, the voltage of the individual with the largest output power is selected as the control voltage of the photovoltaic array.

所述的确定控制电压、电流的取值范围步骤如下:The steps for determining the value range of the control voltage and current are as follows:

首先,对控制电压等差距进行均匀采点:First, evenly collect points for the control voltage and other gaps:

根据采点对应得到的输出功率得到最佳控制电压所在区间:根据光伏发电系统数学模型,计算当模型电流为0时的开路电压,在开路电压到0的范围内均匀选取若干模型电压;According to the output power corresponding to the sampling point, the optimal control voltage range is obtained: according to the mathematical model of the photovoltaic power generation system, the open circuit voltage is calculated when the model current is 0, and several model voltages are uniformly selected within the range from the open circuit voltage to 0;

然后,计算得到与选取的若干模型电压对应的模型电流,并进一步计算得到各个输出功率;Then, calculate the model currents corresponding to the selected model voltages, and further calculate the output powers;

最后,根据当前最大输出功率,确定最大输出功率点所对应的电压、电流所在区间,将该区间作为待优化问题的变量(电压和电流)的范围即控制电压、电流的取值范围。Finally, according to the current maximum output power, determine the range of voltage and current corresponding to the maximum output power point, and use this range as the range of variables (voltage and current) to be optimized, that is, the value range of the control voltage and current.

本发明具体实施时,举例进行说明:When the present invention was specifically implemented, an example was given to illustrate:

步骤1:根据当前光伏发电系统,构造光伏发电系统数学模型,构造一个两目标的多目标优化问题,该系统的数学模型为且该发电系统模型为:Step 1: According to the current photovoltaic power generation system, construct a mathematical model of the photovoltaic power generation system, and construct a two-objective multi-objective optimization problem. The mathematical model of the system is and the power generation system model is:

其中Rs=0.018Ω,Rsh=135Ω,k=1.38×10-23J/K,q=1.6022×10-19C,Np=Ns=5,Ior=6×10-9A,Istc=19.4A,KI=1.7×10-3,A=1.92, where R s =0.018Ω, R sh =135Ω, k=1.38×10 -23 J/K, q=1.6022×10 -19 C, N p =N s =5, I or =6×10 -9 A, I stc =19.4A, K I =1.7×10 -3 , A=1.92,

根据该模型构造的多目标优化问题为 The multi-objective optimization problem constructed according to this model is

其中Vx和Ix为输出电压和输出电流。Where V x and I x are output voltage and output current.

步骤2:根据光伏发电系统数学模型,计算获得开路输出电压,当模型中I=0时,构造令F=0时根据二分法可以求得开路电压V=Vmax,在最大输出电压范围内均匀选取得到对应的输出电路Ix=[I1 I2 … Ik],进一步计算输出功率为Px=[P1 P2 … Pk](Pi=Vi×Ii),根据输出电压P中的最大值Pj=max[P1 P2 … Pk]得到光伏最大功率点所在范围为Vopt∈[Vj-1 Vj+1],Iopt∈[Ij+1 Ij-1];Step 2: Calculate and obtain the open circuit output voltage according to the mathematical model of the photovoltaic power generation system. When I=0 in the model, construct When F=0, the open circuit voltage V=V max can be obtained according to the dichotomy method, and it is uniformly selected within the maximum output voltage range Get the corresponding output circuit I x = [I 1 I 2 ... I k ], further calculate the output power as P x = [P 1 P 2 ... P k ] (P i = V i × I i ), according to the output voltage P The maximum value P j =max[P 1 P 2 … P k ], the range of the photovoltaic maximum power point is V opt ∈[V j-1 V j+1 ], I opt ∈[I j+1 I j- 1 ];

步骤3:优化目标见问题(1),变量为Vopt∈[Vj-1 Vj+1],Iopt∈[Ij+1 Ij-1],设置终止条件为迭代次数小于100次或者最优解改变量小于0.001,种群规模30,运用多目标优化算法求解最大功率点的输出电压;其中,所运用的多目标算法繁殖算子参数为:交叉分布因子为20,变异分布因子为20,交叉概率为1.0,变异概率为0.5。Step 3: See question (1) for the optimization goal, the variables are V opt ∈ [V j-1 V j+1 ], I opt ∈ [I j+1 I j-1 ], and the termination condition is set as the number of iterations is less than 100 Or the optimal solution change amount is less than 0.001, the population size is 30, and the multi-objective optimization algorithm is used to solve the output voltage of the maximum power point; among them, the multi-objective algorithm multiplication operator parameters used are: the cross distribution factor is 20, and the variation distribution factor is 20, the crossover probability is 1.0, and the mutation probability is 0.5.

步骤4:根据多目标优化算法计算的解集,选择F1<0.01的个体,选择这些个体中输出功率最大的个体,将该个体的电压作为控制电压输出。Step 4: According to the solution set calculated by the multi-objective optimization algorithm, select the individual with F 1 <0.01, select the individual with the largest output power among these individuals, and output the voltage of the individual as the control voltage.

步骤5:当环境改变时,采集光照强度和光伏电池板表面温度,重复执行步骤1到步骤4,即可实时调整参数,追踪最大功率点。Step 5: When the environment changes, collect the light intensity and the surface temperature of the photovoltaic panel, and repeat steps 1 to 4 to adjust the parameters in real time and track the maximum power point.

如图2所示,光伏最大功率点追踪包含两个部分,模块1完成了多目标优化问题构造,模块2完成了多目标优化问题求解。As shown in Figure 2, photovoltaic maximum power point tracking consists of two parts. Module 1 completes the construction of multi-objective optimization problems, and module 2 completes the solution of multi-objective optimization problems.

具体涉及到的多目标优化算法详见图3所示,根据已知的输出电压和输出电流范围,随机产生30个个体,每个个体包含了电压和电流两个属性,对应的目标值为真实电压误差和预测功率,通过产生新解,选择更好的解依次迭代,到最后会得到一系列误差小,功率大的个体,然后选择其中预测功率最大的点的电压作为输出,如图4所示。The specific multi-objective optimization algorithm involved is shown in Figure 3. According to the known output voltage and output current range, 30 individuals are randomly generated. Each individual contains two attributes of voltage and current, and the corresponding target value is true. Voltage error and predicted power, by generating a new solution, selecting a better solution and iterating in turn, finally a series of individuals with small error and high power will be obtained, and then the voltage at the point with the largest predicted power will be selected as the output, as shown in Figure 4 Show.

以上所述仅为本发明的较佳实现例,并不用以限制本发明,凡在本发明的精神和原则内,所做的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。The above is only a preferred implementation example of the present invention, and is not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention shall be included in the protection of the present invention. within range.

Claims (7)

1. a kind of photovoltaic maximum power point method for tracing based on multi-objective optimization algorithm, it is characterised in that including following Step A-B:
A:According to the target of photovoltaic generation model and maximum power point tracking, two majorized functions are constructed
Wherein F1It is under unknown voltage and electric current, real voltage current model is with assuming control voltage error function, i.e. photovoltaic mould Type precision function, F2It is power output of the current time under unknown voltage electric current, i.e. photovoltaic output power function;Vx and Ix are Model voltage and electric current, RsAnd RshIt is series connection and parallel resistance respectively, ns is series resistance quantity, VtIt is to save thermal voltage, I0It is nothing Circuital current under illumination, IPVIt is photogenerated current;
B:According to step A model, the photovoltaic maximum power point method for tracing of multi-objective optimization algorithm is set to be changed into function Optimization problem, as find one group of (Vx,Ix) cause function F1Numerical value it is minimum, function F2Numerical value maximum;Definition is appointed Anticipate an electric current IxWith voltage VxThe corresponding follow-up multi-objective optimization algorithm of combination in an individual.
2. the photovoltaic maximum power point method for tracing according to claim 1 based on multi-objective optimization algorithm, it is special Sign is:Described step B comprises the following steps 1- steps 5:
Step 1:By repeatedly in photovoltaic generating system acquisition control voltage, electric current and power output, determining photovoltaic generating system The span of maximum power point voltage electric current;
Step 2:Data, the span of maximum power point voltage electric current, the parameter of algorithm end condition that step 1 is collected Multi-objective optimization algorithm is substituted into individual, the N number of corresponding output power of final output and the small control voltage electricity of model error Stream pair;
Step 3:The individual voltage and current value obtained from step 2 is substituted into photovoltaic generation model
Wherein, IPVIt is photogenerated current, IoOutput current under no light, NpIt is parallel resistance RshQuantity, NsIt is series resistance Rs Quantity, VtIt is the warm voltage of section, calculates the error that circuit and real current are assumed on the left of the model;
Step 4:Choose above-mentioned calculation error individual corresponding to less than 1% and be used as candidate's disaggregation;
Step 5:The maximum magnitude of voltage of the corresponding power output of selection is concentrated as current time maximum photovoltaic power point from candidate solution Tracing Control voltage.
3. the photovoltaic maximum power point method for tracing based on multi-objective optimization algorithm described in claim 2, its feature exist In:The multi-objective optimization question constructed in the step A Comprise the following steps:
A1:According to the control voltage V of determinationx, electric current IxSpan, random initializtion individual, each individual is one group The combination of voltage and current, individual constitute initial population;
B1:According to initial population is obtained in step A1, first intersected using simulation binary system and produce N number of new individual, then to this N Individual new individual carries out multinomial variation, and the individual obtained after multinomial variation forms progeny population;
Described simulation binary system intersects specific as follows:
Two individual x are randomly choosed in the population initialized from A11And x2, a number k is randomly choosed on [0,1], according to such as Lower form obtains new explanation x1' and x2', wherein X1[(1+k) x of '=0.51+(1-k)x2];X2[(1-k) x of '=0.51+(1+k)x2]; Described multinomial variation is specific as follows:
To randomly choosing individual z, new individual z ', wherein z '=z+p (z are sportedmax- zmin), wherein
p1=(z-zmin)/zmax-zmin, p2=(zmax-z)/(zmax-zmin)
zminAnd zmaxIt is the minimum and maximum value that z can take respectively, u is a random number p in [0,1]1And p2It is transitional ginseng Number,
C1. merge in A1 caused progeny population in caused initial population and step B1, obtain one it is individual comprising 2N New population, the individual of N number of better quality is selected from the inside:The standard of selection is non-dominance relation and degree of rarefication relation, is preferentially selected Non-dominant individual is selected, secondly selection is distributed more sparse individual;
D1. to the N number of non-dominant and more sparse individual obtained in step C1, evaluation algorithm iteration B1, C1, D1 step Whether the number of process reaches critical value, if being not reaching to iterations, these steps of continuation iteration B1, C1, D1;Otherwise, The N number of non-dominant and more sparse individual for selecting to retain in step C1 is required in step 2 described in claim 2 Individual.
4. the photovoltaic maximum power point method for tracing based on multi-objective optimization algorithm according to claim 2, its feature It is:The photovoltaic generating system output voltage that uses and current relationship model for
Wherein IPVIt is photogenerated current, IoOutput current under no light, NpIt is parallel resistance RshQuantity, NsIt is series resistance Rs's Quantity, VtIt is the warm voltage of section, V is control voltage, and F is output current;Can be in the hope of open-circuit voltage V according to dichotomy when making F=0 =Vmax, pass through uniform sampling site output control voltageOutput stream I corresponding to obtainingx =[I1 I2 ... Ik], it is P further to calculate power outputx=[P1 P2 ... Pk](Pi=Vi·Ii), according to output voltage Maximum P in Pj=max [P1 P2 ... Pk] to obtain maximum photovoltaic power point location be Vopt∈[Vj-1 Vj+1], should Scope is the 2/k of initial search scope, and k is the number of sampling site.
5. the photovoltaic maximum power point method for tracing according to claim 1 based on multi-objective optimization algorithm, it is special Sign is:The multi-objective optimization algorithm employs non-dominated ranking and environmental selection, the population scale that this algorithm uses for 30, Iterations is 100, and the new individual producing method used is intersected for simulation binary system and multinomial variation;Meanwhile in order to accelerate Optimization efficiency, the population scale for setting multi-objective optimization algorithm are 30, and end condition is that iterations is less than 100 times or optimal Solve knots modification and be less than 0.001.
6. the photovoltaic maximum power point method for tracing according to claim 3 based on multi-objective optimization algorithm, it is special Sign is:The solution that acquisition is solved in step 5 is concentrated, and is chosen the maximum individual voltage of power output as photovoltaic array and is controlled electricity Pressure.
7. the photovoltaic maximum power point method for tracing according to claim 6 based on multi-objective optimization algorithm, it is special Sign is:Determine that control voltage, the span step of electric current are as follows in the step 1:
First, uniform sampling site is carried out to gaps such as control voltages:
The power output correspondingly obtained according to sampling site is optimally controlled section where voltage:According to photovoltaic generating system mathematical modulo Type, the open-circuit voltage when model current is 0 is calculated, some model voltages are uniformly chosen in the range of open-circuit voltage to 0;
Then, model current corresponding with some model voltages chosen is calculated, and each output is further calculated Power;
Finally, according to current peak power output, voltage corresponding to maximum output power point, section where electric current are determined, will The section is control voltage, the span of electric current as the range of variables of problem to be optimized.
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