CN115764849A - A hybrid energy storage capacity optimization configuration method and its configuration system - Google Patents
A hybrid energy storage capacity optimization configuration method and its configuration system Download PDFInfo
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Abstract
Description
技术领域technical field
本发明涉及电力技术领域。The invention relates to the field of electric power technology.
背景技术Background technique
近年来能源危机和环境问题日益严重,面对传统不可再生能源的日益短缺,可再生新能源应运而生,其中风能和太阳能因资源分布范围广、污染小等优势而发展应用前景好得到多个国家的大力推广。其中风光互补发电系统是可再生能源发电的一种重要方式,但因其天气和气候原因会使风光互补发电系统的输出功率波动且不确定。In recent years, the energy crisis and environmental problems have become increasingly serious. Faced with the increasing shortage of traditional non-renewable energy sources, renewable new energy sources have emerged. Among them, wind energy and solar energy have good development and application prospects due to their wide distribution of resources and low pollution. national promotion. Among them, the wind-solar hybrid power generation system is an important way of renewable energy power generation, but due to weather and climate reasons, the output power of the wind-solar hybrid power generation system fluctuates and is uncertain.
储能装置的引入,可以有效平缓源荷不确定性带来的不平衡功率的随机波动,具有两种不同特性的储能的联合使用更加有效应对功率波动中的高低频分量。因此研究风光互补系统中的容量优化配置对于降低系统的经济成本和提高供电可靠性具有重大意义。The introduction of energy storage devices can effectively smooth the random fluctuations of unbalanced power caused by the uncertainty of source load, and the joint use of two types of energy storage with different characteristics can more effectively deal with the high and low frequency components in power fluctuations. Therefore, it is of great significance to study the capacity optimization configuration in the wind-solar hybrid system to reduce the economic cost of the system and improve the reliability of power supply.
目前,风光发电系统的容量优化配置研究方法主要有单目标优化和多目标优化两类,其中单目标优化一般以经济成本最低为目标,以系统供电可靠性等为约束条件运用相关智能优化算法来求解最优解;多目标优化一般从系统成本、负荷缺电率、能量浪费率等多个角度考虑,并结合约束条件进行多目标求解来获得储能装置的合理配置。智能优化算法的使用对电力系统规划带来了巨大的便利,但同时也存在着智能算法求解模型的优化能力能否最优的问题。At present, the capacity optimization configuration research methods of wind and solar power generation systems mainly include single-objective optimization and multi-objective optimization. Solve the optimal solution; multi-objective optimization generally considers system cost, load shortage rate, energy waste rate, etc., and combines constraints to perform multi-objective solution to obtain a reasonable configuration of energy storage devices. The use of intelligent optimization algorithms has brought great convenience to power system planning, but at the same time there is also the question of whether the optimization ability of intelligent algorithms to solve models can be optimal.
针对传统的粒子群算法易“早熟”和算法收敛速度较慢等缺点,提出改进粒子群算法对以储能费用最小为目标,负荷缺电率等为约束条件的风光发电系统模型进行求解。针对风光发电系统,基于混合储能能量分配策略,提出采用自适应布谷鸟算法进行目标函数优化求解。针对风光发电系统以系统成本、负荷缺电率和能量浪费率3个目标采用改进的遗传算法进行求解。Aiming at the shortcomings of the traditional particle swarm optimization algorithm, such as easy "premature" and slow convergence speed, an improved particle swarm optimization algorithm is proposed to solve the wind and solar power generation system model with the minimum energy storage cost as the goal and the load shortage rate as the constraint. For the wind power generation system, based on the hybrid energy storage energy distribution strategy, an adaptive cuckoo algorithm is proposed to solve the objective function optimization. The improved genetic algorithm is used to solve the wind and wind power generation system with three objectives: system cost, load shortage rate and energy waste rate.
传统的智能优化算法一般存在着搜索能力不足导致只能得到次优解而不是最优解,且算法的实现与多个参数有关,参数的选择将会影响算法寻优的性能等问题。Traditional intelligent optimization algorithms generally have problems such as insufficient search ability, which leads to suboptimal solutions instead of optimal solutions, and the realization of the algorithm is related to multiple parameters, and the selection of parameters will affect the performance of the algorithm.
发明内容Contents of the invention
本发明所要解决的技术问题是实现一种更加合理、可靠的混合储能容量优化配置方法。The technical problem to be solved by the present invention is to realize a more reasonable and reliable hybrid energy storage capacity optimization configuration method.
为了实现上述目的,本发明采用的技术方案为:一种混合储能容量优化配置方法,风能发电系统、太阳能发电系统为直流母线供电,获取直流母线上供电参数,超级电容系统提供负载波动功率所需的高频分量,抑制负载突变对母线造成的冲击,来响应供给功率缺额ΔE中频繁波动的高频分量部分,电池系统以额定功率进行充放电,供给功率缺额ΔE中频繁波动的高频分量以外的基本部分。In order to achieve the above purpose, the technical solution adopted by the present invention is: a hybrid energy storage capacity optimization configuration method, the wind power generation system and the solar power generation system supply power to the DC bus, obtain the power supply parameters on the DC bus, and the supercapacitor system provides the load fluctuation power. The high-frequency components required to suppress the impact of sudden load changes on the busbar are to respond to the high-frequency components that frequently fluctuate in the supply power gap ΔE. The battery system is charged and discharged at rated power, and the high-frequency components that frequently fluctuate in the supply power gap ΔE other basic parts.
配置步骤:Configuration steps:
1)初始化模型,输入风能发电系统、太阳能发电系统和负荷全年运行数据;1) Initialize the model and input the annual operation data of wind power generation system, solar power generation system and load;
2)初始化算法参数和种群:设置北方苍鹰种群规模为200,最大迭代次数为400,并令i=0,N=0;2) Initialize algorithm parameters and population: set the northern goshawk population size to 200, the maximum number of iterations to 400, and set i=0, N=0;
3)确立目标函数以及约束条件并进行计算;3) Establish the objective function and constraints and perform calculations;
4)北方苍鹰选择、攻击、追捕猎物,不断更新位置信息并保存目前最优解与适应度值,计算负荷缺电率;4) The northern goshawk selects, attacks, and hunts down prey, constantly updates the location information and saves the current optimal solution and fitness value, and calculates the load shortage rate;
5)判断是否满足终止条件,若不满足继续循环更新,若满足则输出最优解,结束寻优过程。5) Judging whether the termination condition is satisfied, if not satisfied, continue to cyclically update, if satisfied, output the optimal solution, and end the optimization process.
所述风能发电系统和太阳能发电系统的负荷缺电率为负荷缺电量ELPS与负荷总需求量EL之间的比值,表达式:The load power shortage rate of the wind power generation system and the solar power generation system is the ratio between the load power shortage E LPS and the total load demand E L , the expression:
式中,Ew(k)、Es(k)和EL(k)分别为k时刻的风能、太阳能和负荷的电量。In the formula, E w (k), E s (k) and E L (k) are the wind energy, solar energy and load power at time k, respectively.
当风能发电系统和太阳能发电系统发电的能量满足负荷需求ΔE>0时,缺电量ELPS=0,其中ΔE=(Ew(k)+Es(k))ηc-EL(k),对混合储能系统进行充电;When the energy generated by the wind power generation system and the solar power generation system meets the load demand ΔE>0, the power shortage E LPS =0, where ΔE=(E w (k)+E s (k))η c -E L (k) , to charge the hybrid energy storage system;
当风能发电系统和太阳能发电系统发电量不能满足符合需求ΔE<0时,混合储能系统放电补充电源与负荷的缺额能量,此时令ΔE=-ΔE,则When the power generation of the wind power generation system and the solar power generation system cannot meet the demand ΔE<0, the hybrid energy storage system discharges to supplement the shortfall energy of the power supply and load. At this time, ΔE=-ΔE, then
Elps=EL(k)-(Ew(k)+Es(k))ηc E lps =E L (k)-(E w (k)+E s (k))η c
式中,ηc为逆变器的功率转换效率。In the formula, η c is the power conversion efficiency of the inverter.
所述电池系统由Nb个蓄电池组成的蓄电池组,额定电压为Ub(V),额定电容为Cb(Ah),额定储能总量为Ebn(MWh),额定输出功率为Pbn,The battery system is a battery pack composed of N b storage batteries, the rated voltage is U b (V), the rated capacitance is C b (Ah), the rated total energy storage is E bn (MWh), and the rated output power is P bn ,
Ebn=NbCbUb/106 E bn =N b C b U b /10 6
Pbn=NbCbUb/107 P bn = N b C b U b /10 7
所述电池系统最小剩余储能量Ebmin与最大放电深度DOD的相关表达式:The relative expression of the minimum remaining storage energy E bmin of the battery system and the maximum discharge depth DOD:
Ebmin=NbCbUb(1-DOD)/106。E bmin =N b C b U b (1-DOD)/10 6 .
所述超级电容系统的端电压为Uc,电容值为Cc,所述超级电容系统工作过程中端电压保持在Ucmin~Ucmax;The terminal voltage of the supercapacitor system is U c , the capacitance value is C c , and the terminal voltage of the supercapacitor system is kept at U cmin ~ U cmax during the working process;
所述超级电容系统的最大储能量Ecmax:The maximum storage energy E cmax of the supercapacitor system:
所述超级电容系统的最小储能量Ecmin:The minimum storage energy E cmin of the supercapacitor system:
所述负荷缺电率控制在fLPSP≤fLPSPmax The load power shortage rate is controlled at f LPSP ≤ f LPSPmax
其中fLPSPmax为系统负荷缺电率允许的最大缺电率;Where f LPSPmax is the maximum power shortage rate allowed by the system load power shortage rate;
所述电池系统和超级电容器系统的储量约束:Reserve constraints of the battery system and supercapacitor system:
Ebmin<Eb(k)<Ebn E b min < E b (k) < E bn
Ecmin<Ec(k)<Ecmax E cmin < E c (k) < E cmax
其中ΔE包括低频波动基本部分和高频波动部分;Among them, ΔE includes the basic part of low-frequency fluctuation and the part of high-frequency fluctuation;
所述电池系统满足Eb(k)≤μΔE,其中μ代表比例系数。The battery system satisfies E b (k)≤μΔE, where μ represents a proportionality coefficient.
一种混合储能容量优化配置系统,系统的供电端通过直流转换器连接直流母线,直流负载通过DC/DC转换器连接直流母线,交流负载通过DC/AC转换器连接直流母线,系统执行所述混合储能容量优化配置方法A hybrid energy storage capacity optimization configuration system. The power supply end of the system is connected to the DC bus through a DC converter, the DC load is connected to the DC bus through a DC/DC converter, and the AC load is connected to the DC bus through a DC/AC converter. The system executes the described Hybrid energy storage capacity optimization configuration method
所述供电端包括风能发电系统、太阳能发电系统、电池系统、超级电容系统中的部分或全部,每个所述直流转换器的控制端均通过信号线连接配置系统的控制设备,由控制设备调节每个供电端的输入、输出、以及输入输出功率。The power supply end includes part or all of the wind power generation system, solar power generation system, battery system, and supercapacitor system. The control end of each DC converter is connected to the control device of the configuration system through a signal line, and is adjusted by the control device. The input, output, and input-output power of each power supply.
本发明利用北方苍鹰算法求解具有一定的竞争力和优越性。所述方法,对于新能源风光发电系统中混合储能装置容量优化配置及系统经济效益有较高的参考价值。The present invention uses the northern goshawk algorithm to solve the problem and has certain competitiveness and superiority. The method has a high reference value for the optimal configuration of the capacity of the hybrid energy storage device in the new energy wind power generation system and the economic benefits of the system.
附图说明Description of drawings
下面对本发明说明书中每幅附图表达的内容作简要说明:The following is a brief description of the content expressed by each piece of accompanying drawing in the description of the present invention:
图1为混合储能容量优化配置系统框图。Figure 1 is a block diagram of the hybrid energy storage capacity optimization configuration system.
图2为风光负荷各月份电量;Figure 2 shows the monthly electricity consumption of wind and solar loads;
图3为四种算法优化过程曲线;Fig. 3 is four kinds of algorithm optimization process curves;
图4为四种算法最优解对比曲线。Figure 4 shows the comparison curves of the optimal solutions of the four algorithms.
具体实施方式Detailed ways
下面对照附图,通过对实施例的描述,本发明的具体实施方式如所涉及的各构件的形状、构造、各部分之间的相互位置及连接关系、各部分的作用及工作原理、制造工艺及操作使用方法等,作进一步详细的说明,以帮助本领域技术人员对本发明的发明构思、技术方案有更完整、准确和深入的理解。Referring to the accompanying drawings, through the description of the embodiments, the specific embodiments of the present invention include the shape, structure, mutual position and connection relationship of each part, the function and working principle of each part, and the manufacturing process of the various components involved. And the method of operation and use, etc., are described in further detail to help those skilled in the art have a more complete, accurate and in-depth understanding of the inventive concepts and technical solutions of the present invention.
2021年Mohammad Dehghani等人提出了一种模拟北方苍鹰捕猎过程行为的新颖的群智能优化算法——北方苍鹰算法。该算法有收敛速度较快、稳定性好、计算量小,并且需要调整的参数少等优点,现已有一些文献将其应用于工程领域。本发明基于北方苍鹰算法的混合储能容量优化配置,以全生命周期费用最小为目标、系统负荷缺电率和储能系统的能量约束等为约束条件运用北方苍鹰算法进行求解,可以极大的优化混合储能容量的配置。In 2021, Mohammad Dehghani et al. proposed a novel swarm intelligence optimization algorithm that simulates the hunting process behavior of the northern goshawk - the northern goshawk algorithm. The algorithm has the advantages of fast convergence speed, good stability, small amount of calculation, and few parameters to be adjusted, etc., and some literatures have applied it to the engineering field. The present invention is based on the optimal configuration of hybrid energy storage capacity based on the northern goshawk algorithm, and uses the northern goshawk algorithm to solve the problem with the goal of minimizing the cost of the entire life cycle, the system load shortage rate and the energy constraints of the energy storage system. Large configuration of optimized hybrid energy storage capacity.
如图1所示,混合储能容量优化配置系统包括风能发电系统、太阳能发电系统、电池系统、超级电容系统、变换器以及负载等结构组成,其中风能发电系统和太阳能发电系统为负载供电,当供电能量不足时,储能装置储存电量为系统供电,当供电满足符合需求且有盈余时,储能装置储存电量来提高供电可靠性,供电端即储能装置用于储存电量,包括电池系统和超级电容系统,风能发电系统、太阳能发电系统、电池系统、超级电容系统,每个供电端配有一个独立的直流转换器,风能发电系统、太阳能发电系统、电池系统、超级电容系统均通过直流转换器连接直流母线,直流负载通过DC/DC转换器连接直流母线,交流负载通过DC/AC转换器连接直流母线。As shown in Figure 1, the hybrid energy storage capacity optimization configuration system consists of a wind power generation system, a solar power generation system, a battery system, a supercapacitor system, a converter, and a load. The wind power generation system and the solar power generation system supply power to the load. When the power supply energy is insufficient, the energy storage device stores electricity to supply power to the system. When the power supply meets the demand and there is a surplus, the energy storage device stores electricity to improve the reliability of the power supply. The power supply end is the energy storage device used to store electricity, including the battery system and Supercapacitor system, wind power generation system, solar power generation system, battery system, supercapacitor system, each power supply end is equipped with an independent DC converter, wind power generation system, solar power generation system, battery system, supercapacitor system are all through DC conversion The inverter is connected to the DC bus, the DC load is connected to the DC bus through a DC/DC converter, and the AC load is connected to the DC bus through a DC/AC converter.
每个直流转换器均具有控制输入、输出通断,以及调节输入功率和输出功率的功能,因此每个直流转换器的控制端均通过信号线连接控制设备,由控制设备对每个直流转换器进行调节控制,从而控制每个供电端的工作状态和工作效率,具体控制方法采用基于北方苍鹰算法的混合储能容量优化配置方法。该方法针对风光能源发电等不确定性因素带来的功率波动会对电网的电能质量产生不良影响,且为了提高系统的经济性,实现了风光互补发电系统混合储能的容量优化配置方法,首先,以全生命周期费用最小为目标函数,负荷缺电率和储能能量约束等为约束条件建立模型;然后,通过北方苍鹰智能优化算法对模型进行求解。该方法通过MATLAB算例仿真,实验结果表明,使用北方苍鹰算法求解的容量配置方案不仅降低了系统成本,提高了收敛速度,并且缩小了最优值的寻优波动范围,使寻优稳定性提高,从而证明了算法的正确性。此外,该方法通过与粒子群算法、鲸鱼优化算法和麻雀搜索算法三种优化算法的优化结果进行对比分析,也能够验证该算法求解模型的正确性。Each DC converter has the functions of controlling input, output on-off, and adjusting input power and output power. Therefore, the control terminal of each DC converter is connected to the control device through a signal line, and the control device controls each DC converter. Adjustment control is carried out to control the working status and working efficiency of each power supply terminal. The specific control method adopts the optimal configuration method of hybrid energy storage capacity based on the Northern Goshawk algorithm. This method aims at the power fluctuation caused by uncertain factors such as wind and wind power generation will have a negative impact on the power quality of the power grid, and in order to improve the economy of the system, the capacity optimization configuration method of hybrid energy storage in the wind and wind hybrid power generation system is realized. First, , with the minimum cost of the whole life cycle as the objective function, and the load shortage rate and energy storage energy constraints as the constraints to establish a model; then, the model is solved by the North Goshawk intelligent optimization algorithm. The method is simulated by a MATLAB example. The experimental results show that the capacity allocation scheme solved by the North Goshawk algorithm not only reduces the system cost, improves the convergence speed, but also narrows the optimization fluctuation range of the optimal value, making the optimization stability improved, thus proving the correctness of the algorithm. In addition, the method can also verify the correctness of the algorithm to solve the model by comparing and analyzing the optimization results of the three optimization algorithms: particle swarm optimization algorithm, whale optimization algorithm and sparrow search algorithm.
太阳能发电系统(蓄电池装置)模型,Solar power generation system (battery device) model,
假定单个蓄电池的额定电压为Ub(V),额定电容为Cb(Ah),则由Nb个蓄电池组成的蓄电池组的额定储能总量Ebn(MWh)和蓄电池组的额定输出功率如式(1)。且为了延长蓄电池的使用寿命,通常采用额定功率进行充放电。Assuming that the rated voltage of a single storage battery is U b (V) and the rated capacitance is C b (Ah), then the rated energy storage E bn (MWh) of the battery pack composed of N b batteries and the rated output power of the battery pack Such as formula (1). And in order to prolong the service life of the battery, the rated power is usually used for charging and discharging.
Ebn=NbCbUb/106 E bn =N b C b U b /10 6
Pbn=NbCbUb/107 (1)P bn =N b C b U b /10 7 (1)
蓄电池的最小剩余储能量与最大放电深度DOD相关,相关表达式用式(2)表示:The minimum remaining storage energy of the battery is related to the maximum discharge depth DOD, and the related expression is expressed by formula (2):
Ebmin=NbCbUb(1-DOD)/106 (2)E bmin =N b C b U b (1-DOD)/10 6 (2)
超级电容系统模型Supercapacitor System Model
假定单个超级电容器的端电压为Uc,电容值为Cc。但在实际运行情况中,超级电容器的端电压保持在一个电压范围内,记为Ucmin~Ucmax,则实际超级电容器的最大储能量Ecmax为:Assume that the terminal voltage of a single supercapacitor is U c , and the capacitance value is C c . However, in the actual operation situation, the terminal voltage of the supercapacitor is kept within a voltage range, which is recorded as U cmin ~ U cmax , then the maximum storage energy E cmax of the actual supercapacitor is:
超级电容器的最小储能量Ecmin为:The minimum storage energy E cmin of the supercapacitor is:
负荷缺电率的计算流程包括能量分配策略和负荷缺电率的计算流程;The calculation process of the load shortage rate includes the calculation process of the energy allocation strategy and the load shortage rate;
负荷缺电率作为风光互补发电系统的重要运行指标,反映了系统的稳定运行状况,并将负荷缺电率定义为负荷缺电量ELPS与负荷总需求量EL之间的比值,表达式如(5):As an important operating index of the wind-solar hybrid power generation system, the load power shortage rate reflects the stable operation status of the system, and the load power shortage rate is defined as the ratio between the load power shortage E LPS and the total load demand E L , the expression is as follows (5):
式中,Ew(k)、Es(k)和EL(k)分别为k时刻的风能、太阳能和负荷的电量。In the formula, E w (k), E s (k) and E L (k) are the wind energy, solar energy and load power at time k, respectively.
负荷缺电率的计算流程,当风光互补发电的能量满足负荷需求ΔE>0时,缺电量ELPS=0,其中ΔE=(Ew(k)+Es(k))ηc-EL(k),对混合储能系统进行充电;当风光互补发电量不能满足符合需求ΔE<0时,混合储能系统放电补充电源与负荷的缺额能量,此时令ΔE=-ΔE,即:Calculation process of load power shortage rate, when the energy of wind-solar hybrid power generation meets the load demand ΔE>0, the power shortage E LPS =0, where ΔE=(E w (k)+E s (k))η c -E L (k), charge the hybrid energy storage system; when the wind-solar hybrid power generation cannot meet the demand ΔE<0, the hybrid energy storage system discharges to supplement the shortfall energy of the power supply and load, at this time, ΔE=-ΔE, namely:
Elps=EL(k)-(Ew(k)+Es(k))ηc (6)E lps =E L (k)-(E w (k)+E s (k))η c (6)
式中,ηc为逆变器的功率转换效率,例如取值为0.95。In the formula, η c is the power conversion efficiency of the inverter, for example, the value is 0.95.
混合储能系统优化模型Hybrid energy storage system optimization model
目标函数:全生命周期费用(LCC)指在设备的生命周期内,考虑到设备制造成本、安装、使用、维护、废弃处理等过程中的全部费用之和,由设备的购买年成本C1、运行成本Co、维护成本CM以及处理费用CD构成,即:Objective function: Life cycle cost (LCC) refers to the sum of all expenses in the process of equipment manufacturing cost, installation, use, maintenance, disposal, etc. within the life cycle of the equipment, calculated by the annual cost of equipment purchase C 1 , Operating cost C o , maintenance cost C M and processing cost C D are composed, namely:
LCC=C1+CO+CM+CD (7)LCC=C 1 +C O +C M +C D (7)
以全生命周期成本最小为目标函数,如式(8)所示:The objective function is to minimize the cost of the whole life cycle, as shown in formula (8):
minC=C1+CO+CM+CD minC=C 1 +C O +C M +C D
=(1+fob+fmb+fdb)NbPb+(1+foc+fmc+fdc)NcPc (8)=(1+f ob +f mb +f db )N b P b +(1+f oc +f mc +f dc )N c P c (8)
式中,Nb、Nc分别为蓄电池、超级电容器的个数;Pb、Pc分别为蓄电池、超级电容器的购买单价;fob、foc分别为蓄电池和超级电容器的运行系数;fmb、fmc分别为蓄电池和超级电容器的维护系数,超级电容一般免维护,所以其fmc=0;fdb、fdc分别为蓄电池和超级电容器的处理系数。In the formula, N b , N c are the number of batteries and supercapacitors respectively; P b , P c are the purchase unit prices of batteries and supercapacitors respectively; f ob , f oc are the operating coefficients of batteries and supercapacitors respectively; f mb , f mc are maintenance coefficients of storage battery and supercapacitor, and supercapacitors are generally maintenance-free, so f mc = 0; fdb , fdc are treatment coefficients of storage battery and supercapacitor, respectively.
约束条件包括:Constraints include:
(1)供电可靠性(1) Power supply reliability
系统供电可靠性通常由负荷缺电率来表征,负荷缺电率应保持在一定范围之内,即:The power supply reliability of the system is usually characterized by the load shortage rate, which should be kept within a certain range, namely:
fLPSP≤fLPSPmax (9)f LPSP ≤f LPSPmax (9)
式中,fLPSPmax为系统负荷缺电率允许的最大缺电率,例如取值为0.05。In the formula, f LPSPmax is the maximum power shortage rate allowed by the system load power shortage rate, for example, the value is 0.05.
(2)储能系统的储量约束(2) Reserve constraints of the energy storage system
Ebmin<Eb(k)<Ebn E b min < E b (k) < E bn
Ecmin<Ec(k)<Ecmax (10)E cmin < E c (k) < E cmax (10)
(3)ΔE主要由低频波动基本部分和高频波动部分,蓄电池主要承担低频伯波动基本部分,需满足式(11):(3) ΔE is mainly composed of the basic part of low-frequency fluctuations and the part of high-frequency fluctuations, and the battery is mainly responsible for the basic part of low-frequency fluctuations, which must satisfy formula (11):
Eb(k)≤μΔE (11)E b (k)≤μΔE (11)
式中,μ代表比例系数,例如取值为0.7。In the formula, μ represents a proportionality coefficient, for example, the value is 0.7.
北方苍鹰优化算法(Northern Goshawk Optimization,GO)模拟了北方苍鹰在捕食过程中的行为,捕猎过程分为两个阶段:猎物识别与攻击(勘察阶段)以及追逐与逃生(开发阶段)。The northern goshawk optimization algorithm (Northern Goshawk Optimization, GO) simulates the behavior of the northern goshawk in the predation process. The predation process is divided into two stages: prey identification and attack (reconnaissance stage) and chase and escape (development stage).
猎物识别与攻击(勘察阶段)Prey identification and attack (reconnaissance stage)
北方苍鹰在捕猎的第一节阶段,随机选择一个猎物,然后迅速攻击它。此阶段北方苍鹰的行为数学表达式如式(12)~(14):During the first session of the hunt, the northern goshawk randomly selects a prey item and quickly attacks it. The behavioral mathematical expressions of the northern goshawk at this stage are as follows (12)-(14):
Pi=Xk,i=1,2,…,N;k=1,2,…i-1,…N (12)P i =X k , i=1,2,...,N; k=1,2,...i-1,...N (12)
式中,Pi是第i只北方苍鹰选择的猎物的位置;Fpi是第i个北方苍鹰的猎物的位置的目标函数值;k是属于[1,N]N=200数;是第i个北方苍鹰的新位置;是第i个北方苍鹰的第j维的新位置;Fi new,p1是与之对应的目标函数值;r是[0,1]范围内的随机数;I为1或2的随机整数。In the formula, P i is the position of the prey selected by the i-th northern goshawk; F pi is the objective function value of the position of the i-th northern goshawk's prey; k is a number belonging to [1,N]N=200; is the new position of the i-th northern goshawk; is the new position of the i-th northern goshawk in the j-th dimension; F i new, p1 is the corresponding objective function value; r is a random number in the range of [0,1]; I is a random integer of 1 or 2 .
追逐与逃生(开发阶段)Chase and Escape (in development)
在北方苍鹰攻击猎物后,猎物会试图逃跑。因此,在追逐猎物的过程中,北方苍鹰速度极快,可以在任何情况下捕获猎物。这个行为的模拟提高了算法对搜索空间的局部搜索能力。假设狩猎活动接近于一个半径为R的攻击位置。第二阶段的数学表达式如式(15)~(17):After the northern goshawk attacks the prey, the prey will try to escape. Therefore, in the process of chasing prey, the northern goshawk is extremely fast and can catch prey under any circumstances. The simulation of this behavior improves the local search ability of the algorithm for the search space. Suppose the hunting activity is close to an attack location with radius R. The mathematical expression of the second stage is as formula (15)~(17):
式中,t是当前的迭代次数;T=400代次数;是在第二个狩猎阶段的第i个北方苍鹰的新位置;是是第二个狩猎阶段的i个北方苍鹰的第j维的新位置;Fi new,p2是新状态下对应的目标函数值。In the formula, t is the current number of iterations; T=400 generations; is the new position of the i-th northern goshawk in the second hunting phase; F i new, p2 is the corresponding objective function value in the new state.
储能系统的容量优化配置流程如下:The capacity optimization configuration process of the energy storage system is as follows:
一:初始化模型,将风光、太阳能和负荷全年运行数据输入;1: Initialize the model and input the annual operation data of wind, solar and load;
二:初始化算法参数和种群,设置北方苍鹰种群规模为200,最大迭代次数为400,并令i=0,N=0;Two: Initialize the algorithm parameters and population, set the northern goshawk population size to 200, the maximum number of iterations to 400, and set i=0, N=0;
三:确立目标函数以及约束条件并进行计算;Three: Establish the objective function and constraints and perform calculations;
四:北方苍鹰选择、攻击、追捕猎物,不断更新位置信息并保存目前最优解与适应度值,计算负荷缺电率;Four: The northern goshawk selects, attacks, and hunts down prey, constantly updates location information and saves the current optimal solution and fitness value, and calculates the load shortage rate;
五:判断是否满足终止条件,若不满足继续循环更新,若满足则输出最优解,结束寻优过程。Five: Judging whether the termination condition is satisfied, if not satisfied, continue to update circularly, if satisfied, output the optimal solution, and end the optimization process.
参数设置时,以某风光互补发电系统的全年运行数据进行案例分析。图2是风光互补系统全年运行的风电、光伏发电量以及负荷消耗量。逆变器效率ηc为0.95,负荷缺电率最大值fLPSPmax为0.05。算例分析中蓄电池和超级电容器设置的参数如表1所示。When setting parameters, a case analysis is carried out with the annual operation data of a wind-solar hybrid power generation system. Figure 2 shows the annual wind power, photovoltaic power generation and load consumption of the wind and solar hybrid system. Inverter efficiency η c is 0.95, and the maximum value of load power shortage rate f LPSPmax is 0.05. The parameters set in the battery and supercapacitor in the example analysis are shown in Table 1.
表1混合储能系统参数:Table 1 Hybrid energy storage system parameters:
算例仿真结果对比与分析采用北方苍鹰算法,在matlab中进行实验。设置种群数量为200,最大迭代次数为400。并依据文章选择的模型分别将北方苍鹰算法求解的结果与经典粒子群算法、鲸鱼优化算法和麻雀算法进行对比分析。通过最优本经济(适应度函数值)、算法效率和寻优结果稳定性三个方面对实验结果进行评估。The comparison and analysis of the simulation results of the calculation example adopts the northern goshawk algorithm, and the experiment is carried out in matlab. Set the population size to 200 and the maximum number of iterations to 400. And according to the model selected in the article, the results of the northern goshawk algorithm are compared with the classical particle swarm optimization algorithm, whale optimization algorithm and sparrow algorithm. The experimental results are evaluated from three aspects: optimal cost economy (fitness function value), algorithm efficiency and stability of optimization results.
表2为进行十次仿真实验记录下的四种不同算法求解本发明模型的最优结果(以目标函数最小为优进行比较)。比较四种算法的目标函数即最优成本经济可以看出,粒子群算法求解的最优经济成本是四种算法中求得的最高经济成本为159826元,麻雀算法和北方苍鹰算法求解的最优经济成本为四种算法中求得的最低经济成本为156645元,最低成本与最高成本相差3181元,且四种算法的负荷缺电率均小于最大负荷缺电率fLPSPmax(0.5)之下,供电可靠性也得到保证。Table 2 shows the optimal results of solving the model of the present invention by four different algorithms recorded in ten simulation experiments (compared with the minimum objective function). Comparing the objective functions of the four algorithms, that is, the optimal cost economy, it can be seen that the optimal economic cost obtained by the particle swarm optimization algorithm is the highest economic cost obtained by the four algorithms, which is 159826 yuan, and the most obtained by the sparrow algorithm and the northern goshawk algorithm. The optimal economic cost is that the minimum economic cost obtained by the four algorithms is 156645 yuan, the difference between the minimum cost and the maximum cost is 3181 yuan, and the load power shortage rate of the four algorithms is less than the maximum load power shortage rate f LPSPmax (0.5) , Power supply reliability is also guaranteed.
表2四种算法优化结果:Table 2 Four kinds of algorithm optimization results:
图3为四种算法优化过程迭代曲线,迭代次数均设置为400。从图中可以看出,北方苍鹰算法和麻雀算法求解的最优经济成本相同,但北方苍鹰算法最优解迭代次数稳定在20次左右,麻雀算法最优解迭代次数稳定在40次左右,相比之下,北方苍鹰算法收敛速度更快。Figure 3 is the iterative curves of the optimization process of the four algorithms, and the number of iterations is set to 400. It can be seen from the figure that the optimal economic cost of the northern goshawk algorithm and the sparrow algorithm are the same, but the optimal solution iteration times of the northern goshawk algorithm is stable at about 20 times, and the optimal solution iteration times of the sparrow algorithm is stable at about 40 times , in contrast, the Northern Goshawk algorithm converges faster.
图4为四种算法10次寻优结果对比图。结果显示,粒子群算法求解最优值获得的结果波动范围最大且求解的最优值均高于其他最优值,北方苍鹰求解的最小的最优值与麻雀算法求解的最小的最优值相同,但北方苍鹰求解最优获得结果一直稳定在156645,相比之下,北方苍鹰算法求解最优值的过程比麻雀算法波动幅度更小,这意味着求解过程更加稳定,可靠性也更高。另外从优化曲线可以看出,经典粒子群算法和鲸鱼优化算法更加迅速得到最优解但最优值并不理想,这也证实了两个算法容易过早收敛并陷入局部最优解当中。Figure 4 is a comparison chart of the 10 optimization results of the four algorithms. The results show that the results obtained by the particle swarm algorithm to solve the optimal value have the largest fluctuation range and the solved optimal value is higher than other optimal values, the smallest optimal value solved by the northern goshawk and the smallest optimal value solved by the sparrow algorithm The same, but the northern goshawk solves the optimal value and obtains a stable result of 156645. In contrast, the northern goshawk algorithm solves the optimal value with less fluctuation than the sparrow algorithm, which means that the solution process is more stable and reliable. higher. In addition, it can be seen from the optimization curve that the classical particle swarm optimization algorithm and the whale optimization algorithm obtain the optimal solution more quickly but the optimal value is not ideal, which also confirms that the two algorithms tend to converge prematurely and fall into the local optimal solution.
本发明以系统全周期费用最小为目标,考虑到混合储能装置的特性进行能量分配,以系统负荷缺电率等运行指标为约束条件,对混合储能装置进行容量优化配置。并且通过实验仿真结果,也表明本发明所用的北方苍鹰算法所解的最优值与麻雀算法求解最优,相比于经典粒子群算法系统生命全周期费用减小了1.99%;采用的北方苍鹰算法具有更好的寻优能力,求解最优值过程只需迭代二十次左右,且采用北方苍鹰算法求解模型的最优解一直保持不变,相比其他算法寻优结果更为稳定。因此利用北方苍鹰算法求解具有一定的竞争力和优越性。The invention aims at the minimum cost of the system in the whole cycle, considers the characteristics of the hybrid energy storage device for energy distribution, and takes the system load power shortage rate and other operating indicators as constraints to optimize the capacity of the hybrid energy storage device. And through the experimental simulation results, it also shows that the optimal value solved by the northern goshawk algorithm used in the present invention is the best solution by the sparrow algorithm, and compared with the classic particle swarm optimization algorithm, the system life cycle cost is reduced by 1.99%; The goshawk algorithm has better optimization ability, and the process of solving the optimal value only needs to iterate about 20 times, and the optimal solution of the model using the northern goshawk algorithm remains unchanged, which is better than other algorithms. Stablize. Therefore, using the northern goshawk algorithm to solve the problem has certain competitiveness and advantages.
上面结合附图对本发明进行了示例性描述,显然本发明具体实现并不受上述方式的限制,只要采用了本发明的方法构思和技术方案进行的各种非实质性的改进,或未经改进将本发明的构思和技术方案直接应用于其它场合的,均在本发明的保护范围之内。The present invention has been exemplarily described above in conjunction with the accompanying drawings. Obviously, the specific implementation of the present invention is not limited by the above methods, as long as various insubstantial improvements are adopted in the method concept and technical solutions of the present invention, or there is no improvement Directly applying the conception and technical solutions of the present invention to other occasions falls within the protection scope of the present invention.
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