CN105337315B - A high-dimensional and multi-objective optimal configuration method for wind-storage-storage complementary independent microgrids - Google Patents
A high-dimensional and multi-objective optimal configuration method for wind-storage-storage complementary independent microgrids Download PDFInfo
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Abstract
本发明公开了一种风光蓄互补独立微电网高维多目标优化配置方法。以风力发电机、光伏阵列输出功率数学模型和蓄电池充放电特性与寿命周期数学模型为基础,综合考虑等年值投资费用、能量过剩倍率和负载失电率等多性能评价指标,设计高维多目标极值优化方法作为求解器,实现风光蓄互补独立微电网高维多目标优化配置。采用本发明可实现风光蓄互补独立微电网高维多目标优化配置效果,具有传统单目标优化方法和传统多目标优化方法不具备的以下优点:为微电网设计规划者提供的优化配置方案更为合理,在满足相同供电可靠性指标的情况下的优化配置方案投资更少,优化方法实施简单,无需复杂目标函数权重系数整定,无需复杂的优化参数整定,且优化效率更高。
The invention discloses a high-dimensional and multi-objective optimal configuration method for a wind-solar-storage-storage complementary independent microgrid. Based on the mathematical model of output power of wind turbines and photovoltaic arrays and the mathematical model of battery charge and discharge characteristics and life cycle, comprehensively considering multi-performance evaluation indicators such as annual value investment costs, energy excess ratio and load loss rate, etc., the design of high-dimensional multi- The objective extremum optimization method is used as a solver to realize the high-dimensional and multi-objective optimal configuration of the wind-storage-storage complementary independent microgrid. The invention can realize the high-dimensional multi-objective optimal configuration effect of wind-storage-storage complementary independent micro-grid, and has the following advantages that traditional single-objective optimization methods and traditional multi-objective optimization methods do not have: the optimal configuration scheme provided for micro-grid design planners is more efficient Reasonable, the optimization configuration scheme under the condition of meeting the same power supply reliability index has less investment, the optimization method is simple to implement, does not require complex objective function weight coefficient setting, and does not require complex optimization parameter setting, and the optimization efficiency is higher.
Description
技术领域technical field
本发明涉及一种新能源微电网规划设计和能量管理领域智能优化与决策方法,特别涉及一种风光蓄互补独立微电网高维多目标优化配置方法。The invention relates to an intelligent optimization and decision-making method in the field of new energy micro-grid planning and design and energy management, and in particular to a high-dimensional and multi-objective optimal configuration method for a wind-solar-storage-storage complementary independent micro-grid.
背景技术Background technique
“微网(Microgrid)”概念的提出是分布式电力系统发展的里程碑,智能微网是未来智能配电网新的组织形式,为可再生能源分布式发电技术的大规模应用提供了可能。风光蓄互补独立微电网系统作为独立供电系统实现的重要方式,为有效解决山区偏远地区和沿海海岛等地区供电难题提供了一种可行方案,因此近年来受到了国内外学术界和工程应用界的广泛关注和研究探索。分布式电源与电力电子设备选型、容量优化配置是微电网规划设计阶段必须考虑的重要问题之一。由于风力发电和光伏发电具有随机性,加之负荷需求的多样性和复杂性,微电网容量优化配置应在充分分析微电网系统安装处环境条件和负荷需求特征基础上,综合考虑设备的功率特性、安装维护费用以及控制方法,并最终实现微电网系统安全可靠、经济环保。因此,微电网设备选型与容量优化配置问题也是微电网规划设计领域的难题之一。目前,国内外学术界和工程界通常是将微电网设备选型与容量优化配置必须考虑的多种因素按照重要性转化为一个加权目标函数,再采用遗传算法、粒子算法等单目标优化算法进行优化求解。但这些现有方法都普遍存在难以准确设定权重系数、算法参数整定复杂、配置方案难以指导工程实践等缺陷。虽然已有部分研发人员采用NSGA-II等多目标优化方法试图解决微电网设备选型与容量优化配置问题,但是NSGA-II等多目标优化算法设计流程和算法参数整定都非常复杂,且计算效率较低,不便于具体工程实施。在国家自然科学基金(51207112)、浙江省公益计划项目(2014C31074、2014C31093)、浙江省自然科学基金(LY16F030011、LZ16E050002、LQ14F030006、LQ14F030007)和浙江省新苗人才计划项目(2014R424014)的支持下,本发明公开一种风光蓄互补独立微电网高维多目标优化配置方法,具有传统单目标优化方法和传统多目标优化方法所不具备的以下优点:为微电网设计规划者提供的优化配置方案更为合理,在满足相同供电可靠性指标的情况下的优化配置方案投资更少,优化方法实施简单,无需复杂目标函数权重系数整定,无需复杂的优化参数整定,且优化效率更高。The concept of "Microgrid" is a milestone in the development of distributed power systems. Smart microgrids are a new organizational form of smart distribution networks in the future, and provide the possibility for large-scale applications of renewable energy distributed power generation technologies. As an important way to realize the independent power supply system, the wind-storage-storage complementary independent micro-grid system provides a feasible solution for effectively solving the power supply problems in remote mountainous areas and coastal islands. Extensive attention and research exploration. Distributed power supply and power electronic equipment selection and capacity optimization configuration are one of the important issues that must be considered in the planning and design stage of microgrid. Due to the randomness of wind power and photovoltaic power generation, coupled with the diversity and complexity of load demand, the optimal allocation of microgrid capacity should be based on a full analysis of the environmental conditions and load demand characteristics of the microgrid system installation site, comprehensively considering the power characteristics of the equipment, Installation and maintenance costs and control methods, and finally realize the safety, reliability, economical and environmental protection of the microgrid system. Therefore, the problem of microgrid equipment selection and capacity optimization configuration is also one of the difficult problems in the field of microgrid planning and design. At present, the academic and engineering circles at home and abroad usually convert the various factors that must be considered in the selection of microgrid equipment and the optimal configuration of capacity into a weighted objective function according to the importance, and then use single-objective optimization algorithms such as genetic algorithm and particle algorithm to carry out optimization solution. However, these existing methods generally have defects such as difficulty in setting weight coefficients accurately, complex algorithm parameter setting, and configuration schemes that are difficult to guide engineering practice. Although some researchers have used NSGA-II and other multi-objective optimization methods to try to solve the problem of microgrid equipment selection and capacity optimization, the design process and algorithm parameter setting of NSGA-II and other multi-objective optimization algorithms are very complicated, and the calculation efficiency is very high. Low, not convenient for specific engineering implementation. With the support of the National Natural Science Foundation of China (51207112), the Zhejiang Provincial Public Welfare Program (2014C31074, 2014C31093), the Zhejiang Provincial Natural Science Foundation of China (LY16F030011, LZ16E050002, LQ14F030006, LQ14F030007) and the Zhejiang Provincial Young Talents Program (2014R424014), this The invention discloses a high-dimensional multi-objective optimal configuration method for wind-storage-storage complementary independent microgrids, which has the following advantages that traditional single-objective optimization methods and traditional multi-objective optimization methods do not possess: the optimal configuration scheme provided for microgrid design planners is more Reasonable, the optimization configuration scheme under the condition of meeting the same power supply reliability index has less investment, the optimization method is simple to implement, does not require complex objective function weight coefficient setting, and does not require complex optimization parameter setting, and the optimization efficiency is higher.
发明内容Contents of the invention
本发明的目的在于针对现有技术的不足,提供一种风光蓄互补独立微电网高维多目标优化配置方法。The purpose of the present invention is to provide a high-dimensional and multi-objective optimal configuration method for a wind-solar-storage-storage complementary independent microgrid to address the deficiencies in the prior art.
本发明的目的是通过以下技术方案来实现的:一种风光蓄互补独立微电网高维多目标优化配置方法,该方法包括以下步骤:The object of the present invention is achieved through the following technical solutions: a high-dimensional and multi-objective optimal configuration method for a wind-storage-storage complementary independent microgrid, the method comprising the following steps:
(1)读取以1小时为步长的风光蓄互补独立微电网系统实施地区的年度气象数据(包括风速、光照强度、环境温度等)、风光蓄互补独立微电网系统各组件参数信息和负荷数据(包括小时平均直流负荷和小时平均交流负荷等);产生参考点,采用NBI(Normal-boundary intersection)方法产生H个参考点,根据产生的参考点个数确定种群大小NP=H(若H为偶数),NP=H+1(若H为奇数);(1) Read the annual meteorological data (including wind speed, light intensity, ambient temperature, etc.), the parameter information and load of each component of the wind-solar-storage hybrid independent micro-grid system with a step size of 1 hour Data (including hourly average DC load and hourly average AC load, etc.); generate reference points, use the NBI (Normal-boundary intersection) method to generate H reference points, and determine the population size NP=H according to the number of generated reference points (if H is an even number), NP=H+1 (if H is an odd number);
(2)初始化,随机生成一个均匀分布种群大小为NP的初始种群P={Pi,i=1,2,…,NP},其中第i个个体Pi=(NWGi,NPVi,NBATi),NWGi为风力发电机安装台数,NPVi为光伏电池模块安装块数,NBATi为蓄电池单元组数;(2) Initialization. Randomly generate an initial population P={P i ,i=1,2,…,NP} with a uniformly distributed population size of NP, where the i-th individual P i =(N WGi ,N PVi ,N BATi ), N WGi is the number of installed wind turbines, N PVi is the number of photovoltaic cell modules installed, N BATi is the number of battery unit groups;
(3)对种群P中的每一个个体Pi,i=1,2,…,NP,进行非均匀变异、多目标函数评估计算、非支配排序等多目标优化操作,具体包括以下子步骤:(3) For each individual P i ,i=1,2,...,NP in the population P, multi-objective optimization operations such as non-uniform mutation, multi-objective function evaluation calculation, non-dominated sorting, etc. are performed, specifically including the following sub-steps:
(3.1).对Pi={Pi(j),j=1,2,3}中每个组元逐一执行多非均匀变异(Multi-non-uniform mutation,MNUM),同时保持其他组元不变,得到新的个体Pij,j=1,2,3;(3.1). Perform multi-non-uniform mutation (MNUM) on each component in P i ={P i (j),j=1,2,3} one by one, while keeping other components unchanged, get a new individual P ij , j=1,2,3;
其中r、r1是[0,1]范围内产生的随机数,t表示当前迭代次数,L(j)表示第j个优化变量的下限,U(j)表示第j个优化变量的上限,b为MNUM变异系数,Imax为用户设定的最大迭代次数;Where r and r 1 are random numbers generated within the range of [0,1], t represents the current iteration number, L(j) represents the lower limit of the jth optimization variable, U(j) represents the upper limit of the jth optimization variable, b is the coefficient of variation of MNUM, and I max is the maximum number of iterations set by the user;
(3.2)计算Pij对应的多目标函数值,包括等年值投资费用ACS(Pij)、能量过剩倍率Bexc(Pij)和负载失电率LPSP(Pij);(3.2) Calculate the multi-objective function value corresponding to P ij , including the equivalent annual investment cost ACS(P ij ), excess energy ratio B exc (P ij ) and load loss rate L PSP (P ij );
(3.3)对当前3个子个体Pij进行非支配排序,从而得到其支配排序数rij∈[0,2],j=1,2,3,将支配排序数为0的个体记录为Pi0,并将Pi0及对应的多目标函数值存档;(3.3) Perform non-dominated sorting on the current three sub-individuals P ij to obtain their dominant sorting number r ij ∈ [0,2], j=1,2,3, and record the individual whose dominant sorting number is 0 as P i0 , and archive P i0 and the corresponding multi-objective function values;
(4)将Pi0作为新的种群个体,从而产生新的种群PN={Pi0,i=1,2,…,NP};(4) Take P i0 as a new population individual, thereby generating a new population P N ={P i0 , i=1,2,...,NP};
(5)无条件接受P=PN;(5) Accept P=P N unconditionally;
(6)重复步骤3-5直到满足用户设定的最大迭代次数;(6) Repeat steps 3-5 until the maximum number of iterations set by the user is met;
(7)输出Pareto最优解以及对应的ACS、能量过剩倍率Bexc、负载失电率LPSP评价指标值,为用户提供风光蓄互补独立微电网优化配置方案。(7) Output the Pareto optimal solution and the corresponding ACS, energy excess rate B exc , and load power failure rate L PSP evaluation index values to provide users with an optimal configuration plan for wind-storage-storage complementary independent microgrids.
进一步地,步骤(3.2)中高维多目标函数可根据实际需求设定,具有一定的灵活性且能达到不同的优化效果,一般选取系统等年值投资费用ACS、能量过剩倍率Bexc、负载缺电概率LPSP作为目标函数,即:Furthermore, the high-dimensional multi-objective function in step (3.2) can be set according to actual needs, which has certain flexibility and can achieve different optimization effects. Generally, the annual investment cost of the system such as ACS, energy excess multiplier B exc , load deficiency The electrical probability L PSP is used as the objective function, namely:
Lmax为独立微电网系统能容忍的最大负载缺电概率值,Bmax为能容忍的最大能量过剩倍率值。(a)系统等年值投资费用ACS计算过程如下:L max is the maximum load power loss probability value that the independent microgrid system can tolerate, and B max is the maximum energy surplus rate that can be tolerated. (a) The calculation process of ACS equivalent annual value investment fee is as follows:
ACS(X)=(C11NWG+C12NPV+C13NBAT)+(C21NWG+C22NPV+C23NBAT)+C3NBAT (16)ACS(X)=(C 11 N WG +C 12 N PV +C 13 N BAT )+(C 21 N WG +C 22 N PV +C 23 N BAT )+C 3 N BAT (16)
式中:X为优化变量集合,X=(NWG,NPV,NBAT);C11、C12、C13分别为风机、光伏和蓄电池各组件安装成本年平均费用;C21、C22、C23分别为风机、光伏和蓄电池各单元年运行维护成本;C3为蓄电池年均重置成本。In the formula: X is the set of optimization variables, X=(N WG , N PV , N BAT ); C 11 , C 12 , and C 13 are the annual average installation costs of wind turbines, photovoltaics, and batteries; C 21 , C 22 , C 23 are the annual operation and maintenance costs of each unit of wind turbine, photovoltaic and battery respectively; C 3 is the average annual replacement cost of the battery.
风机、光伏和蓄电池各组件安装成本年平均费用与组件寿命周期年限相关,其关系表达式为:The annual average cost of installation cost of each component of wind turbine, photovoltaic and storage battery is related to the life cycle of the component, and the relationship expression is:
C1i=CPi.CRFi(h,Yproj) (17)C 1i =C Pi .CRF i (h,Y proj ) (17)
式中:CP为安装成本;Yproj为组件寿命年限;CRF为资金回收系数(capitalrecovery factor,CRF),其表达式为:In the formula: C P is the installation cost; Y proj is the life span of the component; CRF is the capital recovery factor (CRF), and its expression is:
其中,h为贴现率。Among them, h is the discount rate.
各组件第n年的运行维护费用C2i(n)计算如下:The operation and maintenance cost C 2i (n) of each component in the nth year is calculated as follows:
C2i(n)=C2i(1).(1+f)n (19)C 2i(n) = C 2i (1).(1+f) n (19)
其中C2i(1)为第1年的运行成本,f表示年度通胀率。Among them, C 2i (1) is the operating cost in the first year, and f represents the annual inflation rate.
在项目年限内,若系统组件达到其寿命终止年限,则需要对组件进行重置替换,组件的重置费用计算如下:During the project period, if the system components reach their end-of-life years, they need to be replaced and replaced. The replacement cost of the components is calculated as follows:
C3=Cr.SFE(h,Yr) (20)C 3 =C r .SFE(h,Y r ) (20)
式中:Cr为重置成本;Yr为组件重置寿命;SFE为补偿基金因子,按照式(21)进行计算:In the formula: C r is the replacement cost; Y r is the replacement life of the component; SFE is the compensation fund factor, which is calculated according to formula (21):
(b)能量过剩倍率Bexc为在所考虑的特定时期内(通常设置为1年)浪费的能量与系统负荷总需求能量的比值,具体计算如下:(b) The excess energy ratio B exc is the ratio of the wasted energy to the total energy demanded by the system load in the specific period considered (usually set to 1 year), and the specific calculation is as follows:
式中:Pe(t)系统过剩功率;Pl(t)系统总负荷功率;T为供电总时间段数,通常为T=8760;Δt为仿真步长,通常为Δt=1;In the formula: P e (t) excess power of the system; P l (t) total load power of the system; T is the total time period of power supply, usually T=8760; Δt is the simulation step size, usually Δt=1;
Pl(t)=PD(t)+PA(t)/en (23)P l (t) = P D (t) + P A (t) / e n (23)
其中,PD(t)表示总直流负荷,PA(t)表示总交流负荷,en表示逆变器效率。Among them, P D (t) represents the total DC load, PA ( t) represents the total AC load, and e n represents the efficiency of the inverter.
(c)以负载缺电概率LPSP作为可靠性评价指标,表示系统缺电时间与总供电时间的比值,计算如下:(c) Taking the load power-shortage probability L PSP as the reliability evaluation index, it represents the ratio of the system power-shortage time to the total power supply time, which is calculated as follows:
式中:Sloss(t)为系统缺电标记符,其值为1表示系统缺电(即在t时刻系统能提供的总功率小于系统负荷需求),其值为0表示系统能满足所有负荷需求。、In the formula: S loss (t) is the system power shortage marker, and its value of 1 means that the system is short of power (that is, the total power that the system can provide at time t is less than the system load demand), and its value of 0 means that the system can meet all loads need. ,
本发明的有益效果是:以风力发电机、光伏阵列输出功率数学模型和蓄电池充放电特性与寿命周期数学模型为基础,综合考虑等年值投资费用(包括设备投资费用、运行维护费用和设备重置费用等)、能量过剩倍率和负载失电率(微电网全年运行可靠性指标)等多性能评价指标,设计高维多目标极值优化方法作为求解器,实现风光蓄互补独立微电网高维多目标优化配置。本发明可实现风光蓄互补独立微电网高维多目标优化配置效果,具有传统单目标优化方法和传统多目标优化方法所不具备的以下优点:为微电网设计规划者提供的优化配置方案更为合理,在满足相同供电可靠性指标的情况下的优化配置方案投资更少,优化方法实施简单,无需复杂目标函数权重系数整定,无需复杂的优化参数整定,且优化效率更高。The beneficial effects of the present invention are: based on the wind power generator, the mathematical model of the output power of the photovoltaic array and the mathematical model of the charging and discharging characteristics of the storage battery and the life cycle mathematical model, comprehensively consider the annual investment cost (including equipment investment cost, operation and maintenance cost and equipment weight) Costs, etc.), excess energy ratio and load loss rate (microgrid annual operation reliability index) and other multi-performance evaluation indicators, design a high-dimensional multi-objective extreme value optimization method as a solver, to achieve high Dimensional multi-objective optimization configuration. The invention can realize the effect of high-dimensional multi-objective optimal configuration of wind-storage-storage complementary independent micro-grid, and has the following advantages that traditional single-objective optimization methods and traditional multi-objective optimization methods do not possess: the optimal configuration scheme provided for micro-grid design planners is more efficient Reasonable, the optimization configuration scheme under the condition of meeting the same power supply reliability index has less investment, the optimization method is simple to implement, does not require complex objective function weight coefficient setting, and does not require complex optimization parameter setting, and the optimization efficiency is higher.
附图说明Description of drawings
图1是独立微电网系统结构图;Figure 1 is a structural diagram of an independent microgrid system;
图2是风光蓄互补独立微电网高维多目标优化配置方法原理图;Figure 2 is a schematic diagram of a high-dimensional and multi-objective optimal configuration method for a wind-storage-storage hybrid independent microgrid;
图3是风光蓄互补独立微电网多目标评价模型计算方法流程图。Fig. 3 is a flow chart of the calculation method for the multi-objective evaluation model of the wind-storage-storage hybrid independent microgrid.
具体实施方式detailed description
下面结合附图对本发明进一步说明,本发明的目的和效果将更加明显。The present invention will be further described below in conjunction with the accompanying drawings, and the purpose and effect of the present invention will be more obvious.
图1是独立微电网系统结构图,包括双馈异步风力发电机、光伏阵列、铅酸蓄电池、直流母线、AC/DC变换器、DC/DC变换器、DC/AC变换器、直流负荷设备和交流负荷设备等。Figure 1 is a structural diagram of an independent microgrid system, including doubly-fed asynchronous wind generators, photovoltaic arrays, lead-acid batteries, DC buses, AC/DC converters, DC/DC converters, DC/AC converters, DC load equipment and AC load equipment, etc.
图2是本发明提出的一种风光蓄互补独立微电网高维多目标优化配置方法总图。以温州市某地区150kW风光蓄互补独立微电网系统优化设计工程为例,采用本发明提出的光蓄互补独立微电网高维多目标优化配置方法进行设计实施。Fig. 2 is a general diagram of a high-dimensional multi-objective optimal configuration method for a wind-solar-storage-storage complementary independent microgrid proposed by the present invention. Taking the optimal design project of a 150kW solar-storage-storage complementary independent micro-grid system in a certain area of Wenzhou City as an example, the high-dimensional and multi-objective optimal configuration method for the solar-storage-storage complementary independent micro-grid proposed by the present invention is used for design and implementation.
所述的风光蓄互补独立微电网高维多目标极值优化配置方法,包括以下步骤:The high-dimensional and multi-objective extreme value optimal configuration method for independent micro-grid with wind-storage-storage hybrid includes the following steps:
(1)读取以1小时为步长的温州市某工业区年度气象数据(包括风速、光照强度、环境温度等)、风光蓄互补独立微电网系统各组件参数信息(系统结构图如图1所示)和温州市某工业区负荷数据负荷数据(包括小时平均直流负荷和小时平均交流负荷等);产生参考点,采用NBI(Normal-boundary intersection)方法产生H个参考点,根据产生的参考点个数确定高维多目标极值优化配置方法中种群大小NP=H(若H为偶数),NP=H+1(若H为奇数);(1) Read the annual meteorological data (including wind speed, light intensity, ambient temperature, etc.) of an industrial area in Wenzhou City with a step size of 1 hour, and the parameter information of each component of the independent microgrid system for wind-solar-storage-storage hybrid system (the system structure diagram is shown in Figure 1 shown) and load data of an industrial area in Wenzhou City (including hourly average DC load and hourly average AC load, etc.); to generate reference points, use the NBI (Normal-boundary intersection) method to generate H reference points, according to the generated reference points The number of points determines the population size NP=H (if H is an even number) and NP=H+1 (if H is an odd number) in the high-dimensional multi-objective extreme value optimal configuration method;
(2)初始化,随机生成一个均匀分布种群大小为NP的初始种群P={Pi,i=1,2,…,NP},其中第i个个体Pi=(NWGi,NPVi,NBATi),NWGi为风力发电机安装台数,NPVi为光伏电池模块安装块数,NBATi为蓄电池单元组数;(2) Initialization. Randomly generate an initial population P={P i ,i=1,2,…,NP} with a uniformly distributed population size of NP, where the i-th individual P i =(N WGi ,N PVi ,N BATi ), N WGi is the number of installed wind turbines, N PVi is the number of photovoltaic cell modules installed, and N BATi is the number of battery units;
(3)对种群P中的每一个个体Pi,i=1,2,…,NP,进行非均匀变异、多目标函数评估计算、非支配排序等多目标优化操作,具体包括以下子步骤:(3) For each individual P i ,i=1,2,...,NP in the population P, multi-objective optimization operations such as non-uniform mutation, multi-objective function evaluation calculation, non-dominated sorting, etc. are performed, specifically including the following sub-steps:
(3.1)对Pi={Pi(j),j=1,2,3}中每个组元逐一执行多非均匀变异(Multi-non-uniform mutation,MNUM),同时保持其他组元不变,得到新的个体Pij,j=1,2,3;(3.1) Perform multi-non-uniform mutation (MNUM) on each component in P i ={P i (j),j=1,2,3} one by one, while keeping other components Change to get a new individual P ij , j=1,2,3;
其中r、r1是[0,1]范围内产生的随机数,t表示当前迭代次数,L(j)表示第j个优化变量的下限,U(j)表示第j个优化变量的上限,b为MNUM变异系数,Imax为用户设定的最大迭代次数;Where r and r 1 are random numbers generated within the range of [0,1], t represents the current iteration number, L(j) represents the lower limit of the jth optimization variable, U(j) represents the upper limit of the jth optimization variable, b is the coefficient of variation of MNUM, and I max is the maximum number of iterations set by the user;
(3.2)计算Pij对应的多目标函数值,包括等年值投资费用ACS(Pij)、能量过剩倍率Bexc(Pij)和负载失电率LPSP(Pij),具体计算过程参见风光蓄互补独立微电网多目标评价模型计算方法所描述步骤;(3.2) Calculate the multi-objective function value corresponding to P ij , including the equivalent annual investment cost ACS(P ij ), excess energy ratio B exc (P ij ) and load loss rate L PSP (P ij ). For the specific calculation process, see The steps described in the calculation method of the multi-objective evaluation model of the wind-storage-storage hybrid independent microgrid;
(3.3)对当前3个子个体Pij进行非支配排序,从而得到其支配排序数rij∈[0,2],j=1,2,3,将支配排序数为0的个体记录为Pi0,并将Pi0及对应的多目标函数值存档;(3.3) Perform non-dominated sorting on the current three sub-individuals P ij to obtain their dominant sorting number r ij ∈ [0,2], j=1,2,3, and record the individual whose dominant sorting number is 0 as P i0 , and archive P i0 and the corresponding multi-objective function values;
(4)将Pi0作为新的种群个体,从而产生新的种群PN={Pi0,i=1,2,…,NP};(4) Take P i0 as a new population individual, thereby generating a new population P N ={P i0 , i=1,2,...,NP};
(5)无条件接受P=PN;(5) Accept P=P N unconditionally;
(6)重复步骤3-5直到满足用户设定的最大迭代次数;(6) Repeat steps 3-5 until the maximum number of iterations set by the user is met;
(7)输出Pareto最优解以及对应的ACS、能量过剩倍率Bexc、负载失电率LPSP评价指标值,为用户提供风光蓄互补独立微电网优化配置方案。(7) Output the Pareto optimal solution and the corresponding ACS, energy excess rate B exc , and load power failure rate L PSP evaluation index values to provide users with an optimal configuration plan for wind-storage-storage complementary independent microgrids.
图3给出了步骤(3.2)中风光蓄互补独立微电网多目标评价模型计算方法具体流程图,高维多目标函数可根据实际需求设定,具有一定的灵活性且能达到不同的优化效果,一般选取系统等年值投资费用ACS、能量过剩倍率Bexc、负载缺电概率LPSP作为目标函数,即:Figure 3 shows the specific flow chart of the multi-objective evaluation model calculation method for wind-storage-storage hybrid independent microgrid in step (3.2). The high-dimensional multi-objective function can be set according to actual needs, which has certain flexibility and can achieve different optimization effects , generally select the annual value investment cost ACS of the system, the energy excess rate B exc , and the load power shortage probability L PSP as the objective function, namely:
Lmax为独立微电网系统能容忍的最大负载缺电概率值,Bmax为能容忍的最大能量过剩倍率值。(a)系统等年值投资费用ACS计算过程如下:L max is the maximum load power loss probability value that the independent microgrid system can tolerate, and B max is the maximum energy surplus rate that can be tolerated. (a) The calculation process of ACS equivalent annual value investment fee is as follows:
ACS(X)=(C11NWG+C12NPV+C13NBAT)+(C21NWG+C22NPV+C23NBAT)+C3NBAT (28)ACS(X)=(C 11 N WG +C 12 N PV +C 13 N BAT )+(C 21 N WG +C 22 N PV +C 23 N BAT )+C 3 N BAT (28)
式中:X为优化变量集合,X=(NWG,NPV,NBAT);C11、C12、C13分别为风机、光伏和蓄电池各组件安装成本年平均费用;C21、C22、C23分别为风机、光伏和蓄电池各单元年运行维护成本;C3为蓄电池年均重置成本。In the formula: X is the set of optimization variables, X=(N WG , N PV , N BAT ); C 11 , C 12 , and C 13 are the annual average installation costs of wind turbines, photovoltaics, and batteries; C 21 , C 22 , C 23 are the annual operation and maintenance costs of each unit of wind turbine, photovoltaic and battery respectively; C 3 is the average annual replacement cost of the battery.
风机、光伏和蓄电池各组件安装成本年平均费用与组件寿命周期年限相关,其关系表达式为:The annual average cost of installation cost of each component of wind turbine, photovoltaic and storage battery is related to the life cycle of the component, and the relationship expression is:
C1i=CPi.CRFi(h,Yproj) (29)C 1i =C Pi .CRF i (h,Y proj ) (29)
式中:CP为安装成本;Yproj为组件寿命年限;CRF为资金回收系数(capitalrecovery factor,CRF),其表达式为:In the formula: C P is the installation cost; Y proj is the life span of the component; CRF is the capital recovery factor (CRF), and its expression is:
其中,h为贴现率。Among them, h is the discount rate.
各组件第n年的运行维护费用C2i(n)计算如下:The operation and maintenance cost C 2i (n) of each component in the nth year is calculated as follows:
C2i(n)=C2i(1).(1+f)n (31)C 2i(n) = C 2i (1).(1+f) n (31)
其中C2i(1)为第1年的运行成本,f表示年度通胀率。Among them, C 2i (1) is the operating cost in the first year, and f represents the annual inflation rate.
在项目年限内,若系统组件达到其寿命终止年限,则需要对组件进行重置替换,组件的重置费用计算如下:During the project period, if the system components reach their end-of-life years, they need to be replaced and replaced. The replacement cost of the components is calculated as follows:
C3=Cr.SFE(h,Yr) (32)C 3 =C r .SFE(h,Y r ) (32)
式中:Cr为重置成本;Yr为组件重置寿命;SFE为补偿基金因子,按照式(33)进行计算:In the formula: C r is the replacement cost; Y r is the replacement life of the component; SFE is the compensation fund factor, which is calculated according to formula (33):
(b)能量过剩倍率Bexc为在所考虑的特定时期内(通常设置为1年)浪费的能量与系统负荷总需求能量的比值,具体计算如下:(b) The excess energy ratio B exc is the ratio of the wasted energy to the total energy demanded by the system load in the specific period considered (usually set to 1 year), and the specific calculation is as follows:
式中:Pe(t)系统过剩功率;Pl(t)系统总负荷功率;T为供电总时间段数,通常为T=8760;Δt为仿真步长,通常为Δt=1;In the formula: P e (t) excess power of the system; P l (t) total load power of the system; T is the total time period of power supply, usually T=8760; Δt is the simulation step size, usually Δt=1;
Pl(t)=PD(t)+PA(t)/en (35)P l (t) = P D (t) + P A (t) / e n (35)
其中,PD(t)表示总直流负荷,PA(t)表示总交流负荷,en表示逆变器效率。Among them, P D (t) represents the total DC load, PA ( t) represents the total AC load, and e n represents the efficiency of the inverter.
(c)以负载缺电概率LPSP作为可靠性评价指标,表示系统缺电时间与总供电时间的比值,计算如下:(c) Taking the load power-shortage probability L PSP as the reliability evaluation index, it represents the ratio of the system power-shortage time to the total power supply time, which is calculated as follows:
式中:Sloss(t)为系统缺电标记符,其值为1表示系统缺电(即在t时刻系统能提供的总功率小于系统负荷需求),其值为0表示系统能满足所有负荷需求。In the formula: S loss (t) is the system power shortage marker, and its value of 1 means that the system is short of power (that is, the total power that the system can provide at time t is less than the system load demand), and its value of 0 means that the system can meet all loads need.
步骤1和步骤3中所涉及的双馈异步风力发电机、光伏阵列输出功率数学模型和铅酸蓄电池充放电与寿命周期数学模型计算如下:The mathematical model of doubly-fed asynchronous wind generator, photovoltaic array output power and lead-acid battery charging and discharging and life cycle mathematical model involved in step 1 and step 3 are calculated as follows:
1)风力发电机输出功率模型1) Wind turbine output power model
当已知风速的分布之后,就可以通过风力发电机组的输出功率与风速间的特性曲线得到风机系统的平均输出功率:When the distribution of wind speed is known, the average output power of the fan system can be obtained through the characteristic curve between the output power of the wind turbine and the wind speed:
式中:Pr为额定输出功率;v为风力机轮毂高度处的风速,vr为额定风速,vin为切入风速;vout为切出的风速。风速具有高度的随机性,在此采用双参数威布尔(Weibull)模型来产生获得模拟的风速数据,其概率密度函数表达式为:In the formula: P r is the rated output power; v is the wind speed at the hub height of the wind turbine, v r is the rated wind speed, v in is the cut-in wind speed; v out is the cut-out wind speed. Wind speed has a high degree of randomness. Here, a two-parameter Weibull model is used to generate simulated wind speed data. The expression of its probability density function is:
式中:k和c为Weibull分布的2个参数,k称为形状参数,k>0,c是尺度参数,c>1。In the formula: k and c are two parameters of Weibull distribution, k is called the shape parameter, k>0, c is the scale parameter, c>1.
2)光伏阵列输出功率计算模型2) Calculation model of photovoltaic array output power
数量为NPV的光伏阵列输出功率模型PPV计算如下:The output power model P PV of the photovoltaic array whose quantity is N PV is calculated as follows:
其中,G、Gmax分别为在一定时间内的实际光照强度和最大光照强度;Pp(G)为单件光伏模块的输出功率,为光照强度概率密度函数,分别计算如下:Among them, G and G max are the actual light intensity and the maximum light intensity in a certain period of time respectively; P p (G) is the output power of a single photovoltaic module, is the light intensity probability density function, which is calculated as follows:
其中,PSTC表示标准测试条件下的最大测试功率,G为实际的光照强度;k为功率温度系数;Ta为环境温度,TNOC为组件额定工作温度。Among them, P STC represents the maximum test power under standard test conditions, G is the actual light intensity; k is the power temperature coefficient; T a is the ambient temperature, and T NOC is the rated operating temperature of the module.
其中,α、β为Beta分布的形状参数。Among them, α and β are the shape parameters of the Beta distribution.
3)蓄电池模型3) Battery model
荷电状态(SOC)、端电压以及寿命周期是蓄电池管理的几个重要参数,其计算模型如下:State of charge (SOC), terminal voltage and life cycle are several important parameters of battery management, and their calculation models are as follows:
蓄电池荷电状态SOC是反应蓄电池剩余电量占其总容量的比例的参数,前后两时刻间蓄电池SOC可表示为如下关系式:The SOC of the battery state of charge is a parameter that reflects the proportion of the remaining power of the battery to its total capacity. The SOC of the battery at two times before and after can be expressed as the following relationship:
SOC(t+1)=SOC(t)(1-δ(t))+IBAT(t).Δt.η(t)/CBAT (43)SOC(t+1)=SOC(t)(1-δ(t))+I BAT (t).Δt.η(t)/C BAT (43)
式中:IBAT(t)为t时刻充放电电流,充电时为正,放电是为负;PBAT(t)为蓄电池的充放电功率,充电为正,放电为负;VBAT(t)为蓄电池端电压;δ为自然放电率;Δt为前后两时刻的时间间隔;CBAT为蓄电池按时容量;η(t)为充放电效率,放电时其值为1,充电时与SOC和充电电流有关,计算模型如下:In the formula: I BAT (t) is the charging and discharging current at time t, which is positive when charging and negative when discharging; P BAT (t) is the charging and discharging power of the battery, which is positive when charging and negative when discharging; V BAT (t) is the battery terminal voltage; δ is the natural discharge rate; Δt is the time interval between two moments before and after; C BAT is the on-time capacity of the battery; Related, the calculation model is as follows:
蓄电池的端电压可由其开路电压和因充放电电流在其内阻上产生的内阻压降表示,计算公式如下:The terminal voltage of the battery can be expressed by its open circuit voltage and the internal resistance voltage drop on its internal resistance due to the charge and discharge current, and the calculation formula is as follows:
VBAT(t)=Eoc(t)+IBAT(t)RBAT(t) (46)V BAT (t) = E oc (t) + I BAT (t) R BAT (t) (46)
Eoc(t)=VF+b.log(SOC(t)) (47)Eoc(t)=VF+ b.log (SOC(t)) (47)
RBAT(t)=Relectrode(t)+Relectrlyte(t) (48)R BAT (t)=R electrode (t)+R electrlyte (t) (48)
Relectrode(t)=r1+r2.SOC(t) (49)R electrode (t)=r 1 +r 2 .SOC(t) (49)
Relectrolyte(t)=[r3+r4.SOC(t)]-1 (50)R electrolyte (t)=[r 3 +r 4 .SOC(t)] -1 (50)
式中:Eoc(t)为蓄电池的开路电压;IBAT(t)为蓄电池电流(其值大于0表示充电,其值小于0表示放电);RBAT(t)为蓄电池内阻,包括电解质电阻Relectrode(t)和电解液电阻Relectrolyte(t)两部分;b,r1,r2,r3,r4为经验系数在充电和放电模式下其值具有不同的值:In the formula: E oc (t) is the open circuit voltage of the battery; I BAT (t) is the battery current (a value greater than 0 indicates charging, and a value less than 0 indicates discharging); R BAT (t) is the internal resistance of the battery, including electrolyte The resistance R electrode (t) and the electrolyte resistance R electrolyte (t) are two parts; b, r 1 , r 2 , r 3 , r 4 are empirical coefficients with different values in charging and discharging modes:
蓄电池寿命损坏期TBAT计算如下:The battery life damage period T BAT is calculated as follows:
nS=T/Δt表示仿真总时段数目,SOC1,t、SOC2,t分别为第t个仿真时段开始和结束时的SOC数值,SBAT,t表示第t个仿真时段蓄电池实际的充放电状态,n S =T/Δt represents the total number of simulation periods, SOC 1,t and SOC 2,t are the SOC values at the beginning and end of the tth simulation period respectively, S BAT,t represents the actual charge of the battery in the tth simulation period discharge state,
DOD,t表示第t个仿真时段结束时检测到的蓄电池放电深度,DOD,t=1-SOC2,t。D OD,t represents the battery discharge depth detected at the end of the t-th simulation period, D OD,t =1−SOC 2,t .
蓄电池的重置周期YB计算如下:The reset period Y B of the battery is calculated as follows:
TBR=min{TBAT,TFL} (53)T BR =min{T BAT ,T FL } (53)
其中,TFL表示蓄电池生产厂家提供的浮充寿命参考值。Among them, T FL represents the float life reference value provided by the storage battery manufacturer.
在系统运行过程中,蓄电池受其荷电状态限制范围(SOCmin≤SOC≤SOCmax)与蓄电池本身技术限制的影响,其最大充放电功率计算如下:During the operation of the system, the battery is affected by the limited range of its state of charge (SOC min ≤ SOC ≤ SOC max ) and the technical limitations of the battery itself, and its maximum charge and discharge power is calculated as follows:
Pcm(t)=NBAT.max{0,min{(SOCmax-SOC(t)).CBAT/Δt,Icm}.VBAT(t)} (54)P cm (t)=N BAT .max{0,min{(SOC max -SOC(t)).C BAT /Δt,I cm }.V BAT (t)} (54)
Pdm(t)=NBAT.max{0,min{(SOC(t)-SOCmin).CBAT/Δt,Idm}.VBAT(t)} (55)P dm (t)=N BAT .max{0,min{(SOC(t)-SOC min ).C BAT /Δt,I dm }.V BAT (t)} (55)
式中:SOCmax,SOCmin分别为蓄电池荷电状态的上下限;CBAT为蓄电池容量;VBAT(t)为蓄电池端电压;Δt为单位仿真时间间隔;Pcm(t),Pdm(t)分别为在t个仿真时段内蓄电池的最大可充电电流和最大放电电流;Icm,Idm分别为蓄电池允许的最大充电电流和最大放电电流,单位时间内最大充放电电流为蓄电池额定安时容量的20%,即,In the formula: SOC max and SOC min are the upper and lower limits of the battery state of charge respectively; C BAT is the battery capacity; V BAT (t) is the battery terminal voltage; Δt is the unit simulation time interval; P cm (t), P dm ( t) are the maximum chargeable current and maximum discharge current of the battery in t simulation periods respectively; I cm , I dm are the maximum charge current and maximum discharge current allowed by the battery respectively, and the maximum charge and discharge current per unit time is the rated safety of the battery 20% of capacity, i.e.,
Icm=Idm=0.2CBAT/Δt (56)I cm =I dm =0.2C BAT /Δt (56)
采用本发明对温州地区150kW风光蓄互补独立微电网系统进行优化设计,结果表明:本发明可实现风光蓄互补独立微电网高维多目标优化配置效果,在满足相同供电可靠性指标的情况下的优化配置方案投资比传统单目标优化方法(如遗传算法、粒子群算法)和传统多目标优化方法(如NSGA-II算法)至少节省20%以上,并且本发明仅有MNUM变异系数和迭代优化次数两个参数需整定,无需复杂目标函数权重系数整定,优化方法也不需要种群交叉等操作环节,实施更为简单,整个方法的计算时间更短。Using the present invention to optimize the design of the 150kW wind-storage-storage complementary independent micro-grid system in Wenzhou area, the results show that: the present invention can realize the high-dimensional and multi-objective optimal configuration effect of the wind-storage-storage complementary independent micro-grid, under the condition of meeting the same power supply reliability index The optimal configuration scheme investment saves at least 20% more than traditional single-objective optimization methods (such as genetic algorithm, particle swarm algorithm) and traditional multi-objective optimization methods (such as NSGA-II algorithm), and the present invention only has MNUM variation coefficient and iteration optimization times The two parameters need to be adjusted, and there is no need to adjust the weight coefficient of the complex objective function. The optimization method does not require operations such as population crossover. The implementation is simpler, and the calculation time of the entire method is shorter.
综上所述,采用本发明可实现风光蓄互补独立微电网高维多目标优化配置效果,具有传统单目标优化方法和传统多目标优化方法所不具备的以下优点:为微电网设计规划者提供的优化配置方案更为合理,在满足相同供电可靠性指标的情况下的优化配置方案投资更少,优化方法实施简单,无需复杂目标函数权重系数整定,无需复杂的优化参数整定,且优化效率更高。To sum up, the present invention can realize the high-dimensional multi-objective optimal configuration effect of wind-storage-storage complementary independent microgrid, and has the following advantages that traditional single-objective optimization methods and traditional multi-objective optimization methods do not possess: provide microgrid design planners with The optimal configuration scheme is more reasonable, and the optimal configuration scheme under the condition of meeting the same power supply reliability index has less investment, the optimization method is simple to implement, no complex objective function weight coefficient adjustment is required, no complicated optimization parameter adjustment is required, and the optimization efficiency is higher. high.
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