CN116094000A - A hybrid energy storage system capacity and power configuration method and system - Google Patents
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Abstract
一种混合储能系统容量与功率配置方法及系统,属于混合储能系统控制技术领域。其特征在于:包括如下步骤:以混合储能系统综合成本最小化为目标,构建双层优化模型,上层优化模型用于求解混合储能系统的容量及功率配置问题,下层优化模型用于求解光伏‑混合储能系统的运行问题;采用深度确定性策略梯度算法求解下层优化模型,得到运行成本,基于所述运行成本,采用粒子群算法,求解上层优化模型,得到超级电容和电池的最优功率及容量配置方案。与基于典型日的优化运行方法相比,本发明充分考虑了光伏出力的不确定性,使混合储能容量及功率配置结果更符合实际需求。
A hybrid energy storage system capacity and power configuration method and system, belonging to the technical field of hybrid energy storage system control. It is characterized in that it includes the following steps: with the goal of minimizing the comprehensive cost of the hybrid energy storage system, a two-layer optimization model is constructed, the upper layer optimization model is used to solve the capacity and power configuration problems of the hybrid energy storage system, and the lower layer optimization model is used to solve the photovoltaic energy storage system. ‑The operation problem of the hybrid energy storage system; use the deep deterministic strategy gradient algorithm to solve the lower-level optimization model to obtain the operating cost, based on the operating cost, use the particle swarm algorithm to solve the upper-level optimization model to obtain the optimal power of the supercapacitor and battery and capacity configuration. Compared with the optimal operation method based on typical days, the present invention fully considers the uncertainty of photovoltaic output, so that the mixed energy storage capacity and power configuration results are more in line with actual needs.
Description
技术领域Technical Field
一种混合储能系统容量与功率配置方法及系统,属于混合储能系统控制技术领域。A hybrid energy storage system capacity and power configuration method and system, belonging to the hybrid energy storage system control technology field.
背景技术Background Art
本部分的陈述仅仅是提供了与本发明相关的背景技术信息,不必然构成在先技术。The statements in this section merely provide background information related to the present invention and do not necessarily constitute prior art.
随着石化能源价格不断上涨,光伏发电成为未来最有潜力替代煤电的新兴发电方式。光伏发电低碳环保、便于维护,但受太阳运动、大气环境等影响,光伏发电功率具有间歇性、波动性,严重影响了电网电能质量和供电可靠性,为此常需要为光伏配置储能设备。As the price of petrochemical energy continues to rise, photovoltaic power generation has become the most promising new power generation method to replace coal-fired power in the future. Photovoltaic power generation is low-carbon, environmentally friendly and easy to maintain, but affected by the movement of the sun and the atmospheric environment, photovoltaic power generation is intermittent and volatile, which seriously affects the power quality and power supply reliability of the power grid. Therefore, it is often necessary to configure energy storage equipment for photovoltaic power generation.
储能设备可以分为功率型储能和能量型储能,功率型储能具有功率密度高、响应速度快、循环寿命长等优点,但其能量密度较低。典型的功率型储能有飞轮储能、超导储能以及超级电容储能等。而能量型储能能量密度高,适合大量存储能量,但不适合短时间大功率充放电,主要包括氢储能、压缩空气储能等。混合储能系统同时配置多种储能设备,可以结合功率型储能与能量型储能的优势,灵活响应不同时间尺度的功率需求,在短时间内平抑因云团遮挡等原因导致的光伏功率波动,同时参与电网调度促进光伏的消纳,减少弃光。Energy storage equipment can be divided into power-type energy storage and energy-type energy storage. Power-type energy storage has the advantages of high power density, fast response speed, and long cycle life, but its energy density is relatively low. Typical power-type energy storage includes flywheel energy storage, superconducting energy storage, and supercapacitor energy storage. Energy-type energy storage has high energy density and is suitable for storing a large amount of energy, but is not suitable for short-term high-power charging and discharging. It mainly includes hydrogen energy storage and compressed air energy storage. The hybrid energy storage system is equipped with a variety of energy storage devices at the same time. It can combine the advantages of power-type energy storage and energy-type energy storage, flexibly respond to power demands on different time scales, and smooth out photovoltaic power fluctuations caused by cloud obstruction and other reasons in a short period of time. At the same time, it participates in grid dispatching to promote photovoltaic consumption and reduce abandoned light.
然而,目前储能设备的建设成本较高,为了提高光伏-储能系统的经济性,需要合理地选择储能设备并配置合适的容量。目前混合储能容量配置方法为平抑新能源功率波动,通常选取光伏运行典型日,数据时间尺度较小,通常为1分钟,采用小波包变换、希尔伯特-黄变换、变分模态分解等方法将光伏出力在频域进行分解,根据波动率等指标对频带进行划分,将光伏出力的高频部分分配给功率型储能,将低频部分分配给能量型储能,从而获得混合储能系统的最优配置,但上述方法通常不考虑负荷功率及分时电价,且混合储能系统的出力不是通过运行优化得到,在实际应用中缺乏经济性。还有混合储能配置方法更关注光-储系统的运行优化,这类方法通常将新能源功率数据的时间尺度设为15分钟或1小时,配置两种及以上不同响应速度的储能,通过运行优化减少弃风弃光及购电成本,提升系统的经济性,但由于时间尺度较大,该类方法难以考虑对新能源短期功率波动的平抑。However, the current construction cost of energy storage equipment is relatively high. In order to improve the economic efficiency of photovoltaic-energy storage systems, it is necessary to reasonably select energy storage equipment and configure appropriate capacity. The current hybrid energy storage capacity configuration method is to smooth out the fluctuations in new energy power. Usually, a typical photovoltaic operation day is selected. The data time scale is relatively small, usually 1 minute. Wavelet packet transform, Hilbert-Huang transform, variational mode decomposition and other methods are used to decompose photovoltaic output in the frequency domain. The frequency bands are divided according to indicators such as volatility. The high-frequency part of the photovoltaic output is allocated to power-type energy storage, and the low-frequency part is allocated to energy-type energy storage, so as to obtain the optimal configuration of the hybrid energy storage system. However, the above methods usually do not consider load power and time-of-use electricity prices, and the output of the hybrid energy storage system is not obtained through operation optimization, which lacks economy in practical applications. There are also hybrid energy storage configuration methods that focus more on the operational optimization of the photovoltaic-storage system. This type of method usually sets the time scale of renewable energy power data to 15 minutes or 1 hour, configures two or more energy storages with different response speeds, and reduces wind and solar power curtailment and electricity purchase costs through operational optimization, thereby improving the economy of the system. However, due to the large time scale, this type of method is difficult to consider the smoothing of short-term power fluctuations of renewable energy.
然而,上述方法存在如下缺陷:1)上述方法所得混合储能容量配置结果受光伏运行典型日的影响大,不同典型日下所得容量配置结果往往存在较大差异;2)上述方法或仅考虑对光伏短时波动进行平抑,或仅考虑混合储能在电网中的优化运行提升系统经济性,缺少综合考虑平抑光伏功率波动及光-储系统运行优化的混合储能系统配置方法;3)运行优化时间尺度较小时,传统算法求解难度大,收敛性差,难以解得混合储能系统运行的最优出力。However, the above methods have the following defects: 1) The hybrid energy storage capacity configuration results obtained by the above methods are greatly affected by the typical days of photovoltaic operation, and the capacity configuration results obtained on different typical days often have large differences; 2) The above methods only consider smoothing short-term photovoltaic fluctuations, or only consider the optimized operation of hybrid energy storage in the power grid to improve the economy of the system, and lack a hybrid energy storage system configuration method that comprehensively considers smoothing photovoltaic power fluctuations and optimizing the operation of the photovoltaic-storage system; 3) When the operation optimization time scale is small, the traditional algorithm is difficult to solve and has poor convergence, making it difficult to solve the optimal output of the hybrid energy storage system.
发明内容Summary of the invention
本发明要解决的技术问题是:克服现有技术的不足,提供一种通过合理配置超级电容储能和电池储能的功率和容量,提升光伏-混合储能系统的经济性,使混合储能在平抑光伏功率短期波动的同时对光伏-混合储能进行运行优化促进光伏消纳的混合储能系统容量与功率配置方法及系统。The technical problem to be solved by the present invention is: to overcome the shortcomings of the prior art and provide a method and system for configuring the capacity and power of a hybrid energy storage system by reasonably configuring the power and capacity of supercapacitor energy storage and battery energy storage, thereby improving the economy of a photovoltaic-hybrid energy storage system, enabling the hybrid energy storage to smooth short-term fluctuations in photovoltaic power while optimizing the operation of the photovoltaic-hybrid energy storage and promoting photovoltaic consumption.
本发明解决其技术问题所采用的技术方案是:该混合储能系统容量与功率配置方法,其特征在于:包括如下步骤:The technical solution adopted by the present invention to solve the technical problem is: the capacity and power configuration method of the hybrid energy storage system is characterized by comprising the following steps:
以混合储能系统综合成本最小化为目标,构建双层优化模型,上层优化模型用于求解混合储能系统的容量及功率配置问题,下层优化模型用于求解光伏-混合储能系统的运行问题;With the goal of minimizing the comprehensive cost of the hybrid energy storage system, a two-layer optimization model is constructed. The upper optimization model is used to solve the capacity and power configuration problems of the hybrid energy storage system, and the lower optimization model is used to solve the operation problems of the photovoltaic-hybrid energy storage system.
采用深度确定性策略梯度算法求解下层优化模型,得到运行成本,基于所述运行成本,采用粒子群算法,求解上层优化模型,得到超级电容和电池的最优功率及容量配置方案。A deep deterministic policy gradient algorithm is used to solve the lower-level optimization model to obtain the operating cost. Based on the operating cost, a particle swarm algorithm is used to solve the upper-level optimization model to obtain the optimal power and capacity configuration scheme of the supercapacitor and battery.
优选的,所述混合储能系统综合成本包括投资建设成本及运行成本,其中投资建设成本包括超级电容的功率及容量投资建设成本、电池的功率及容量投资建设成本,运行成本包括光伏-混合储能系统出力成本、购电成本、弃光成本、功率波动惩罚成本。Preferably, the comprehensive cost of the hybrid energy storage system includes investment and construction costs and operating costs, wherein the investment and construction costs include the power and capacity investment and construction costs of supercapacitors and the power and capacity investment and construction costs of batteries; the operating costs include the output cost of the photovoltaic-hybrid energy storage system, the electricity purchase cost, the abandoned light cost, and the power fluctuation penalty cost.
优选的,所述上层优化模型的约束条件包括超级电容储能配置功率及容量约束、电池储能配置功率及容量约束;Preferably, the constraints of the upper optimization model include supercapacitor energy storage configuration power and capacity constraints, battery energy storage configuration power and capacity constraints;
所述下层优化模型的约束条件包括功率平衡约束、电池储能充放电功率约束、电池储能充放电爬坡功率约束、电池储能电量约束、超级电容储能充放电功率约束、超级电容储能电量约束。The constraints of the lower-level optimization model include power balance constraints, battery energy storage charging and discharging power constraints, battery energy storage charging and discharging climbing power constraints, battery energy storage power constraints, supercapacitor energy storage charging and discharging power constraints, and supercapacitor energy storage power constraints.
优选的,采用深度确定性策略梯度算法求解下层优化模型的具体过程为:下层优化模型目标函数为混合储能系统年运行成本,以历史设定时间内光伏、负荷功率数据为输入,将优化问题转化为马尔科夫决策模型,并采用深度确定性策略梯度算法求解。Preferably, the specific process of using the deep deterministic policy gradient algorithm to solve the lower-level optimization model is as follows: the objective function of the lower-level optimization model is the annual operating cost of the hybrid energy storage system, and the photovoltaic and load power data within the historical set time are used as input. The optimization problem is converted into a Markov decision model and solved using the deep deterministic policy gradient algorithm.
优选的,所述马尔科夫决策模型的动作空间为当前超级电容及电池的充放电功率,状态空间为当前时刻光伏功率、负荷功率、超级电容荷电状态、电池荷电状态以及电价信息,奖励函数为下层优化模型目标函数转化得出,将目标函数最小化问题转化为累计奖励函数最大化问题。Preferably, the action space of the Markov decision model is the current charging and discharging power of the supercapacitor and battery, the state space is the photovoltaic power, load power, supercapacitor charge state, battery charge state and electricity price information at the current moment, and the reward function is obtained by transforming the objective function of the lower-level optimization model, and the objective function minimization problem is transformed into the cumulative reward function maximization problem.
优选的,采用深度确定性策略梯度算法求解马尔科夫决策模型,并构建四个全连接神经网络,四个全连接神经网络分别为Actor网络、Actor目标网络、Critic网络和Critic目标网络,由Actor网络计算当前动作空间,由环境反馈当前状态空间及奖励函数,计算累计奖励函数;Preferably, a deep deterministic policy gradient algorithm is used to solve the Markov decision model, and four fully connected neural networks are constructed. The four fully connected neural networks are Actor network, Actor target network, Critic network and Critic target network. The Actor network calculates the current action space, and the environment feeds back the current state space and reward function to calculate the cumulative reward function.
将当前时刻动作、状态、奖励函数及下一时刻状态存入经验回放池,从经验回放池中随机取样用于Actor网络与Critic网络的参数更新,利用软更新方式对Actor目标网络和Critic目标网络进行参数更新;通过不断训练得到最优混合储能充放电控制策略,从而计算得到运行成本。The current action, state, reward function and the state at the next moment are stored in the experience replay pool, and random sampling is used from the experience replay pool for parameter update of the Actor network and the Critic network. The parameters of the Actor target network and the Critic target network are updated using the soft update method. The optimal hybrid energy storage charging and discharging control strategy is obtained through continuous training, and the operating cost is calculated.
优选的,求解上层优化模型的过程包括如下步骤:Preferably, the process of solving the upper optimization model includes the following steps:
上层模型初始化粒子群参数,电池和超级电容的功率和容量作为每个粒子的位置参数;The upper model initializes the particle swarm parameters, and the power and capacity of the battery and supercapacitor are used as the position parameters of each particle;
根据粒子的位置参数调整下层约束,求解下层优化模型,初始化深度确定性策略梯度算法环境,训练混合储能充放电控制策略,进而计算年运行成本;Adjust the lower-level constraints according to the particle position parameters, solve the lower-level optimization model, initialize the deep deterministic policy gradient algorithm environment, train the hybrid energy storage charging and discharging control strategy, and then calculate the annual operating cost;
根据得到的年运行成本,计算每个粒子的适应度值并得到全局最优,若达到上层最大迭代次数则输出求得的最小总成本,全局最优粒子的位置参数即为混合储能系统容量与功率最优配置,否则更新每个粒子的速度和位置,根据更新后的粒子位置参数调整下层约束,重新求解下层模型。According to the obtained annual operating cost, the fitness value of each particle is calculated and the global optimum is obtained. If the maximum number of iterations of the upper layer is reached, the minimum total cost is output. The position parameters of the global optimal particle are the optimal configuration of the capacity and power of the hybrid energy storage system. Otherwise, the speed and position of each particle are updated, and the lower-level constraints are adjusted according to the updated particle position parameters, and the lower-level model is solved again.
一种混合储能系统容量与功率配置系统,其特征在于:包括:A hybrid energy storage system capacity and power configuration system, characterized by comprising:
建模模块,被配置为以混合储能系统综合成本最小化为目标,构建双层优化模型,上层优化模型用于求解混合储能系统的容量配置问题,下层优化模型用于求解光伏-混合储能系统的运行问题;The modeling module is configured to construct a two-layer optimization model with the goal of minimizing the comprehensive cost of the hybrid energy storage system. The upper optimization model is used to solve the capacity configuration problem of the hybrid energy storage system, and the lower optimization model is used to solve the operation problem of the photovoltaic-hybrid energy storage system;
求解模块,被配置为采用深度确定性策略梯度算法求解下层优化模型,得到运行成本,基于所述运行成本,采用粒子群算法,求解上层优化模型,得到超级电容和电池的最优功率及容量配置方案。The solution module is configured to use a deep deterministic policy gradient algorithm to solve the lower-level optimization model to obtain the operating cost, and based on the operating cost, use a particle swarm algorithm to solve the upper-level optimization model to obtain the optimal power and capacity configuration scheme of the supercapacitor and the battery.
一种计算机可读存储介质,其特征在于:其中存储有多条指令,所述指令适于由终端设备的处理器加载并执行上述方法中的步骤。A computer-readable storage medium, characterized in that: a plurality of instructions are stored therein, and the instructions are suitable for being loaded by a processor of a terminal device and executing the steps in the above method.
一种终端设备,其特征在于:包括处理器和计算机可读存储介质,处理器用于实现各指令;计算机可读存储介质用于存储多条指令,所述指令适于由处理器加载并执行上述方法中的步骤。A terminal device, characterized in that it includes a processor and a computer-readable storage medium, the processor is used to implement various instructions; the computer-readable storage medium is used to store multiple instructions, and the instructions are suitable for being loaded by the processor and executing the steps in the above method.
与现有技术相比,本发明所具有的有益效果是:Compared with the prior art, the present invention has the following beneficial effects:
与传统的混合储能功率及容量配置方法相比,本发明选用超级电容及电池组成混合储能系统,通过设置功率波动成本抑制光伏短时功率波动,同时引入分时电价以及弃光成本,兼顾光伏消纳与光伏-混合储能系统的经济性。相比既有方法,本发明同时考虑了光伏功率波动平抑以及光伏-混合储能系统的优化运行。Compared with the traditional hybrid energy storage power and capacity configuration method, the present invention uses supercapacitors and batteries to form a hybrid energy storage system, suppresses short-term photovoltaic power fluctuations by setting power fluctuation costs, and introduces time-of-use electricity prices and abandoned light costs, taking into account the economic efficiency of photovoltaic consumption and photovoltaic-hybrid energy storage systems. Compared with existing methods, the present invention simultaneously considers the smoothing of photovoltaic power fluctuations and the optimized operation of photovoltaic-hybrid energy storage systems.
本发明下层优化模型模拟光伏-混合储能系统的运行,由于运行优化时间尺度较小,模型构建复杂、求解困难,因此本发明采用深度确定性策略梯度算法,将光伏、负荷功率数据及分时电价作为算法输入,通过将优化问题转化为马尔科夫决策模型进行求解,克服了传统算法求解难度较大,收敛性差的问题。此外,深度确定性策略梯度算法输入数据集由一年的光伏分钟级出力数据构成,与基于典型日的优化运行方法相比,本发明充分考虑了光伏出力的不确定性,使混合储能容量及功率配置结果更符合实际需求。The lower-level optimization model of the present invention simulates the operation of the photovoltaic-hybrid energy storage system. Due to the small time scale of the operation optimization, the model construction is complex and difficult to solve. Therefore, the present invention adopts a deep deterministic policy gradient algorithm, takes photovoltaic, load power data and time-of-use electricity prices as algorithm inputs, and solves the optimization problem by converting it into a Markov decision model, thus overcoming the problems of traditional algorithms being difficult to solve and having poor convergence. In addition, the input data set of the deep deterministic policy gradient algorithm consists of one year of photovoltaic minute-level output data. Compared with the optimization operation method based on a typical day, the present invention fully considers the uncertainty of photovoltaic output, making the hybrid energy storage capacity and power configuration results more in line with actual needs.
附图说明BRIEF DESCRIPTION OF THE DRAWINGS
构成本发明的一部分的说明书附图用来提供对本发明的进一步理解,本发明的示意性实施例及其说明用于解释本发明,并不构成对本发明的不当限定。The accompanying drawings in the specification, which constitute a part of the present invention, are used to provide a further understanding of the present invention. The exemplary embodiments of the present invention and their descriptions are used to explain the present invention and do not constitute improper limitations on the present invention.
图1为本发明实例验证中马尔科夫决策模型示意图;FIG1 is a schematic diagram of a Markov decision model in an example verification of the present invention;
图2为本发明实例验证中深度确定性策略梯度算法原理示意图;FIG2 is a schematic diagram of the principle of a deep deterministic policy gradient algorithm in an example verification of the present invention;
图3为本发明实例验证中基于粒子群-深度确定性策略梯度算法的下层优化模型求解算法流程示意图;FIG3 is a schematic diagram of the algorithm flow of solving the lower layer optimization model based on the particle swarm-deep deterministic policy gradient algorithm in the example verification of the present invention;
图4为本发明实例验证中配置混合储能前后某一天光伏功率波动情况示意图;FIG4 is a schematic diagram of photovoltaic power fluctuations on a certain day before and after hybrid energy storage is configured in an example verification of the present invention;
图5为本发明实例验证中该日电池及超级电容的荷电状态示意图。FIG. 5 is a schematic diagram of the charge state of the battery and the supercapacitor in the example verification of the present invention.
具体实施方式DETAILED DESCRIPTION
图1~5是本发明的最佳实施例,下面结合附图1~5对本发明做进一步说明。1 to 5 are the best embodiments of the present invention, and the present invention will be further described below in conjunction with FIGS. 1 to 5 .
实施例1Example 1
考虑到储能设备的安装条件及环境需求,采用普及性较高的超级电容及电池组成混合储能系统,利用超级电容平抑短期光伏功率波动,利用电池参与系统运行优化提升系统经济性。Taking into account the installation conditions and environmental requirements of energy storage equipment, a hybrid energy storage system is composed of popular supercapacitors and batteries. Supercapacitors are used to smooth short-term photovoltaic power fluctuations, and batteries are used to participate in system operation optimization to improve system economy.
本发明技术方案以混合储能系统建设成本和运行成本总和最小为目标,提出了混合储能功率及容量配置双层优化模型。上层优化模型求解混合储能系统的容量配置问题,下层优化模型求解光伏-混合储能系统的运行问题。The technical solution of the present invention aims to minimize the sum of the construction cost and the operating cost of the hybrid energy storage system, and proposes a double-layer optimization model for the hybrid energy storage power and capacity configuration. The upper optimization model solves the capacity configuration problem of the hybrid energy storage system, and the lower optimization model solves the operation problem of the photovoltaic-hybrid energy storage system.
一种混合储能系统容量与功率配置方法,包括如下步骤:A method for configuring capacity and power of a hybrid energy storage system comprises the following steps:
以混合储能系统综合成本最小化为目标,构建双层优化模型,上层优化模型用于求解混合储能系统的容量及功率配置问题,下层优化模型用于求解光伏-混合储能系统的运行问题;With the goal of minimizing the comprehensive cost of the hybrid energy storage system, a two-layer optimization model is constructed. The upper optimization model is used to solve the capacity and power configuration problems of the hybrid energy storage system, and the lower optimization model is used to solve the operation problems of the photovoltaic-hybrid energy storage system.
采用深度确定性策略梯度算法求解下层优化模型,得到运行成本,基于所述运行成本,采用粒子群算法,求解上层优化模型,得到超级电容和电池的最优功率及容量配置方案。A deep deterministic policy gradient algorithm is used to solve the lower-level optimization model to obtain the operating cost. Based on the operating cost, a particle swarm algorithm is used to solve the upper-level optimization model to obtain the optimal power and capacity configuration scheme of the supercapacitor and battery.
上层优化模型目标函数:The upper optimization model objective function is:
上层优化模型以电池储能和超级电容储能的配置容量作为决策变量,以光伏-混合储能系统建设成本和运行成本总和最小为目标:The upper optimization model uses the configuration capacity of battery energy storage and supercapacitor energy storage as decision variables, and aims to minimize the sum of the construction cost and operating cost of the photovoltaic-hybrid energy storage system:
minCtotal=Cinvest+Cop; (1)minC total =C invest +C op ; (1)
式中,Ctotal为光伏-混合储能系统的总成本;Cinvest为混合储能系统的投资建设成本;Cop为光伏-混合储能系统的年运行成本,由下层优化模型给出。Where C total is the total cost of the photovoltaic-hybrid energy storage system; C invest is the investment and construction cost of the hybrid energy storage system; C op is the annual operating cost of the photovoltaic-hybrid energy storage system, which is given by the lower optimization model.
混合储能系统的投资建设成本表示为:The investment and construction cost of the hybrid energy storage system is expressed as:
Cinvest=Ccons,ba+Ccons,sc; (2)Cinvest=Ccons,ba+Ccons,sc; (2)
式中,r为折现率;nba和nsc分别表示电池储能及超级电容储能的规划年数;Pba和Psc分别表示电池储能及超级电容储能的额定功率;Sba和Ssc分别表示电池储能及超级电容储能的规划容量;cba1和cba2分别表示电池储能的单位功率及容量投资建设成本;csc1和csc2分别表示电池储能的单位功率及容量投资建设成本。Where r is the discount rate; n ba and n sc represent the planned years of battery energy storage and supercapacitor energy storage respectively; P ba and P sc represent the rated power of battery energy storage and supercapacitor energy storage respectively; S ba and S sc represent the planned capacity of battery energy storage and supercapacitor energy storage respectively; c ba1 and c ba2 represent the unit power and capacity investment and construction cost of battery energy storage respectively; c sc1 and c sc2 represent the unit power and capacity investment and construction cost of battery energy storage respectively.
上层优化模型具体包括如下约束:The upper-level optimization model specifically includes the following constraints:
储能配置功率约束表示为:The energy storage configuration power constraint is expressed as:
0≤Pba≤Pba,max; (5)0≤P ba ≤P ba,max ; (5)
0≤Psc≤Psc,max; (6)0≤P sc ≤P sc,max ; (6)
式中,Pba,max和Psc,max分别表示可配置的电池储能和超级电容储能功率上限。Where P ba,max and P sc,max represent the configurable upper limits of battery energy storage and supercapacitor energy storage power, respectively.
储能配置容量约束表示为:The energy storage configuration capacity constraint is expressed as:
0≤Sba≤Sba,max; (7)0≤S ba ≤S ba,max ; (7)
式中,Sba,max和Ssc,max分别表示可配置的电池储能和超级电容储能容量上限。Where S ba,max and S sc,max represent the upper limits of the configurable battery energy storage and supercapacitor energy storage capacity, respectively.
下层优化模型目标函数:The objective function of the lower optimization model is:
在上层优化模型的基础上,下层优化模型以系统年运行成本最小为目标,通过控制混合储能的充放电功率,实现降低系统运行成本、减少弃光、平抑并网点功率波动的目标。目标函数具体为:Based on the upper optimization model, the lower optimization model aims to minimize the annual operating cost of the system, and achieves the goals of reducing system operating costs, reducing abandoned light, and smoothing power fluctuations at the grid connection point by controlling the charging and discharging power of the hybrid energy storage. The specific objective function is:
minCop=Cop,pv,hess+Cbuy+Ccut,pv+Cpenalty (9)minC op =C op,pv,hess +C buy +C cut,pv +C penalty (9)
式中,Cop,pv,hess为光伏-混合储能系统出力成本,Cbuy为购电成本,Ccut,pv为弃光成本,Cpenalty为功率波动惩罚成本。下面对各成本进行详细描述。Where C op,pv,hess is the output cost of the photovoltaic-hybrid energy storage system, C buy is the electricity purchase cost, C cut,pv is the cost of abandoned light, and C penalty is the power fluctuation penalty cost. Each cost is described in detail below.
光伏-混合储能系统出力成本为:The output cost of the photovoltaic-hybrid energy storage system is:
式中,分别表示光伏、电池储能、超级电容储能单位出力成本; 分别表示光伏、电池储能、超级电容储能运行功率。In the formula, Respectively represent the unit output costs of photovoltaic, battery energy storage, and supercapacitor energy storage; Respectively represent the operating power of photovoltaic, battery energy storage, and supercapacitor energy storage.
购电成本为:The cost of purchasing electricity is:
式中,表示单位购电成本,表示上级电网供电功率。In the formula, represents the unit electricity purchase cost, Indicates the power supply of the upper power grid.
弃光成本为:The cost of abandoning light is:
式中,为单位弃光成本,由于本专利要求光伏发电就地消纳,不允许返送电网,因此上级电网供电功率若则表示该部分光伏发电功率无法被系统消纳,需要支付弃光成本。In the formula, is the unit cost of abandoned light. Since this patent requires that photovoltaic power be consumed locally and is not allowed to be fed back to the grid, the power supply power of the upper grid is like This means that this part of the photovoltaic power generation cannot be absorbed by the system and the cost of abandonment needs to be paid.
功率波动惩罚成本为:The power fluctuation penalty cost is:
式中,ω为功率波动惩罚系数;ΔPt表示Δt时间内并网点的功率波动量;ΔPlim表示功率波动最大限值,若|ΔPt|>ΔPlim,则需要支付功率波动惩罚成本。Wherein, ω is the power fluctuation penalty coefficient; ΔP t represents the power fluctuation amount of the grid connection point within the Δt time; ΔP lim represents the maximum limit of power fluctuation. If |ΔP t |>ΔP lim , the power fluctuation penalty cost needs to be paid.
下层优化模型约束具体包括如下约束:The lower-level optimization model constraints specifically include the following constraints:
功率平衡约束为:The power balance constraint is:
式中,为t时刻负载功率。In the formula, is the load power at time t.
电池储能充放电功率约束为:The battery energy storage charging and discharging power constraints are:
式中,表示电池储能充放电功率上限,由上层优化模型配置的电池储能额定功率决定。In the formula, Indicates the upper limit of battery energy storage charging and discharging power, which is determined by the rated power of the battery energy storage configured by the upper-level optimization model.
电池储能充放电爬坡功率约束为:The battery energy storage charging and discharging ramp power constraint is:
式中,表示电池储能最大充放电爬坡功率。In the formula, Indicates the maximum charging and discharging ramp power of battery energy storage.
电池储能电量约束为:The battery energy storage capacity constraint is:
式中,Eba,min和Eba,max分别表示电池储能允许存储电量的最小值和最大值,由上层优化模型配置的电池储能容量决定;Eba,ini和Eba,end分别表示电池储能初始时刻和结束时刻的电量。In the formula, E ba,min and E ba,max represent the minimum and maximum values of the amount of electricity allowed to be stored in the battery energy storage, respectively, which are determined by the battery energy storage capacity configured by the upper-level optimization model; E ba,ini and E ba,end represent the electricity at the initial and end times of the battery energy storage, respectively.
超级电容储能功率约束为:The supercapacitor energy storage power constraint is:
式中,表示超级电容储能充放电功率上限,由上层优化模型配置的超级电容储能额定功率决定。In the formula, Indicates the upper limit of supercapacitor energy storage charging and discharging power, which is determined by the supercapacitor energy storage rated power configured by the upper optimization model.
超级电容储能电量约束为:The supercapacitor energy storage capacity constraint is:
式中,Esc,min和Esc,max分别表示超级电容储能允许存储电量的最小值和最大值,由上层优化模型配置的超级电容储能容量决定;Esc,ini和Esc,end分别表示超级电容储能初始时刻和结束时刻的电量。Where E sc,min and E sc,max represent the minimum and maximum values of the amount of electricity allowed to be stored by the supercapacitor energy storage, respectively, which are determined by the supercapacitor energy storage capacity configured by the upper optimization model; E sc,ini and E sc,end represent the amount of electricity at the initial and end times of the supercapacitor energy storage, respectively.
基于粒子群-深度确定性策略梯度算法的模型求解方法包括如下步骤:The model solving method based on particle swarm-deep deterministic policy gradient algorithm includes the following steps:
粒子群算法为:The particle swarm algorithm is:
上层优化问题采用粒子群算法,将式(1)设为粒子群算法的适应度函数,运行成本由下层优化模型提供,将电池储能和超级电容储能的功率和容量设为粒子群的位置,通过粒子群算法求解混合储能系统的综合成本最小值。The particle swarm algorithm is used for the upper optimization problem. Formula (1) is set as the fitness function of the particle swarm algorithm. The operating cost is provided by the lower optimization model. The power and capacity of battery energy storage and supercapacitor energy storage are set as the position of the particle swarm. The particle swarm algorithm is used to solve the minimum comprehensive cost of the hybrid energy storage system.
马尔科夫决策模型为:The Markov decision model is:
为将下层优化问题转化为深度强化学习方法可以求解的问题,首先要构建马尔科夫决策模型。马尔科夫决策模型如图1所示。In order to transform the underlying optimization problem into a problem that can be solved by deep reinforcement learning methods, we first need to build a Markov decision model. The Markov decision model is shown in Figure 1.
其中,st表示t时刻环境中智能体观测到的状态,定义为:Among them, s t represents the state observed by the agent in the environment at time t, which is defined as:
其中,at表示t时刻智能体的动作,定义为:Among them, a t represents the action of the agent at time t, which is defined as:
其中,r(at|st)为环境在at作用下反馈的奖励值,定义为:Among them, r( at | st ) is the reward value fed back by the environment under the action of at , which is defined as:
式中,K为常数。通过奖励函数r(at|st),将下层求系统运行成本最小值问题转化为使奖励函数最大化问题。In the formula, K is a constant. Through the reward function r(a t |s t ), the problem of minimizing the operating cost of the system at the lower level is transformed into the problem of maximizing the reward function.
从状态st开始的一次探索过程所对应的累计奖励Rt可以表示为:The cumulative reward Rt corresponding to an exploration process starting from state st can be expressed as:
Rt=r(at|st)+γr(at+1|st+1)+……+γT-tr(aT|sT); (24)R t =r(a t |s t )+γr(a t+1 |s t+1 )+…+γ Tt r(a T |s T ); (24)
式中,γ为折扣系数。Where γ is the discount coefficient.
动作-价值函数Qπ(s,a)表示遵循策略π在状态st下执行动作at的一次探索过程所得到的累计奖励期望,具体为:The action-value function Qπ (s,a) represents the expected cumulative reward obtained by following the strategy π in an exploration process of performing action at in state st , specifically:
Qπ(s,a)=Eπ[Rt|st=s,at=a]; (25)Q π (s,a)=E π [R t |s t =s,a t =a]; (25)
深度确定性策略梯度算法为:The deep deterministic policy gradient algorithm is:
深度确定性策略梯度算法(deep deterministic policy gradient,DDPG)原理如图2所示。DDPG算法由四个全连接神经网络构成,分别为Actor网络μ(s|θμ)、Actor目标网络μ'(s|θμ')、Critic网络Q(s,a|θQ)、Critic目标网络Q'(s,a|θQ')。The principle of the deep deterministic policy gradient algorithm (DDPG) is shown in Figure 2. The DDPG algorithm consists of four fully connected neural networks, namely the Actor network μ(s|θ μ ), the Actor target network μ'(s|θ μ '), the Critic network Q(s,a|θ Q ), and the Critic target network Q'(s,a|θ Q ').
DDPG算法采用经验回放机制,将探索得到的样本(st,at,rt,st+1)存储在经验回放池中并不断更新,Actor网络和Critic网络通过从经验回放池中提取小批量样本进行训练并更新参数使奖励最大化,从而得到混合储能系统最优运行状态。The DDPG algorithm adopts the experience replay mechanism to store the explored samples (s t , a t , r t , st +1 ) in the experience replay pool and continuously update them. The Actor network and the Critic network extract small batches of samples from the experience replay pool for training and update parameters to maximize the reward, thereby obtaining the optimal operating state of the hybrid energy storage system.
Actor网络决定在状态st下智能体执行的动作at,具体为:The Actor network determines the action a t performed by the agent in state s t , specifically:
式中,θμ为Actor网络的参数,为随机噪声。Where θ μ is the parameter of the Actor network, is random noise.
其网络参数θμ更新方式具体为:The specific update method of its network parameter θ μ is:
式中,N为随机采样批数,Q(si,ai|θQ)为Critic网络的输出,αμ为Actor网络的学习率。Where N is the number of random sampling batches, Q(s i ,a i |θ Q ) is the output of the Critic network, and α μ is the learning rate of the Actor network.
Critic网络用于估计动作价值函数Q(si,ai|θQ),从而对Actor网络生成的策略进行评估,其参数θQ更新方式具体为:The Critic network is used to estimate the action value function Q(s i ,a i |θ Q ) to evaluate the strategy generated by the Actor network. The parameter θ Q is updated as follows:
yi=ri+γQ'(si+1,μ'(si+1|θμ')|θQ'); (29)y i =r i +γQ'(s i+1 ,μ'(s i+1 |θ μ ')|θ Q '); (29)
式中,μ'(si+1|θμ')为Actor目标网络的输出,Q'(si+1,μ'(si+1|θμ')|θQ')为Critic目标网络的输出,αQ为Critic网络的学习率。Where μ'(s i+1 |θ μ' ) is the output of the Actor target network, Q'(s i+1 ,μ'(s i+1 |θ μ' )|θ Q' ) is the output of the Critic target network, and α Q is the learning rate of the Critic network.
Actor目标网络和Critic目标网络通过软更新方式更新网络参数,具体为:The Actor target network and the Critic target network update network parameters through soft update, specifically:
θμ'←τθμ+(1-τ)θμ'; (32)θ μ' ←τθ μ +(1-τ)θ μ' ; (32)
θQ'←τθQ+(1-τ)θQ'; (33)θ Q' ←τθ Q +(1-τ)θ Q' ; (33)
式中,θμ'为Actor目标网络的参数,θQ'为Critic目标网络的参数,τ为软更新系数。Where θ μ' is the parameter of the Actor target network, θ Q' is the parameter of the Critic target network, and τ is the soft update coefficient.
基于粒子群-深度确定性策略梯度算法的模型求解流程如下:The model solving process based on the particle swarm-deep deterministic policy gradient algorithm is as follows:
基于粒子群-深度确定性策略梯度算法的模型求解算法流程如图3所示,包括以下步骤:The model solving algorithm flow based on the particle swarm-deep deterministic policy gradient algorithm is shown in Figure 3, which includes the following steps:
S1初始化粒子群参数,电池和超级电容的功率和容量作为每个粒子的位置参数;S1 initializes the particle swarm parameters, and the power and capacity of the battery and supercapacitor are used as the position parameters of each particle;
S2初始化DDPG环境,从数据集中加载光伏出力数据和负荷数据,初始化状态空间;S2 initializes the DDPG environment, loads PV output data and load data from the data set, and initializes the state space;
S3DDPG算法根据当前时刻状态空间st,由Actor网络计算得到当前时刻的动作at,即电池储能和超级电容储能的输入/输出功率;The S3DDPG algorithm calculates the current action a t based on the current state space s t , which is the input/output power of the battery energy storage and supercapacitor energy storage.
S4环境根据下一时刻数据进行更新,计算S3中动作的奖励rt,得到下一时刻的状态空间st+1;The S4 environment is updated according to the data at the next moment, and the reward r t of the action in S3 is calculated to obtain the state space s t+1 at the next moment;
S5将(st,at,rt,st+1)存入经验回放池,从经验回放池中随机取样用于训练DDPG,按照式(28)、(31)更新Actor网络和Critic网络的参数;S5 stores (s t ,a t ,r t ,s t+1 ) into the experience replay pool, randomly samples from the experience replay pool for training DDPG, and updates the parameters of the Actor network and the Critic network according to equations (28) and (31);
S6根据式(32)、(33)更新Actor目标网络和Critic目标网络的参数;S6 updates the parameters of the Actor target network and the Critic target network according to equations (32) and (33);
S7环境加载到设定时刻的光伏和负荷数据,则达到本次训练终止条件,计算累计奖励,跳转S8,否则跳转S3;If the S7 environment is loaded with the photovoltaic and load data at the set time, the termination condition of this training is met, the accumulated reward is calculated, and the process jumps to S8, otherwise it jumps to S3;
S8若达到最大训练次数,则结束本轮训练,采用训练得到的混合储能充放电控制策略计算年运行成本并跳转S9,否则跳转S2;If the maximum number of training times is reached in S8, the current round of training is terminated, and the annual operating cost is calculated using the hybrid energy storage charging and discharging control strategy obtained through training and the process jumps to S9; otherwise, the process jumps to S2;
S9根据DDPG计算得到的年运行成本,计算每个粒子的适应度值并得到全局最优,若达到最大迭代次数则输出PSO-DDPG算法求得的最小总成本,否则更新每个粒子的速度和位置,跳转S2。S9 calculates the fitness value of each particle based on the annual operating cost calculated by DDPG and obtains the global optimum. If the maximum number of iterations is reached, the minimum total cost obtained by the PSO-DDPG algorithm is output. Otherwise, the speed and position of each particle are updated and jump to S2.
在本实施例中,具体的算法分析如下:In this embodiment, the specific algorithm analysis is as follows:
算例介绍Case Study
本发明以某地光伏示范工程一年出力数据为例进行分析,验证所提方法的可行性与有效性。该光伏示范工程装机容量为1MW,数据采样时间间隔为1分钟,将每日6:00~18:00作为混合储能系统的1个充放电周期。本发明的混合储能配置策略中参数设置如表1、2、3所示。The present invention uses the output data of a photovoltaic demonstration project in a certain place for one year as an example to analyze and verify the feasibility and effectiveness of the proposed method. The installed capacity of the photovoltaic demonstration project is 1MW, the data sampling time interval is 1 minute, and 6:00-18:00 every day is regarded as a charge and discharge cycle of the hybrid energy storage system. The parameter settings in the hybrid energy storage configuration strategy of the present invention are shown in Tables 1, 2, and 3.
表1电池与超级电容参数Table 1 Battery and supercapacitor parameters
表2分时电价Table 2 Time-of-use electricity prices
表3DDPG算法超参数Table 3 DDPG algorithm hyperparameters
不同储能配置策略对比Comparison of different energy storage configuration strategies
为验证配置混合储能的必要性,对比以下四种储能配置方案,分别为:不配置储能,仅配置电池储能,仅配置超级电容储能,以及本发明所提混合储能配置策略。不同储能配置方案所得结果如表4所示。In order to verify the necessity of configuring hybrid energy storage, the following four energy storage configuration schemes are compared: no energy storage, only battery energy storage, only supercapacitor energy storage, and the hybrid energy storage configuration strategy proposed by the present invention. The results obtained from different energy storage configuration schemes are shown in Table 4.
表4不同储能配置策略对比Table 4 Comparison of different energy storage configuration strategies
由表4可见,配置混合储能后折算到一年的总成本最低。尽管混合储能的安装成本最高,但是配置混合储能后显著降低了功率波动惩罚成本及弃光成本。这是由于超级电容通过快速充放电平抑功率波动,降低了功率波动惩罚成本。此外,电池参与运行调度,在光伏功率大于负荷时将多余电能进行存储,降低了弃光成本。在光伏出力较低而电价较高时,电池释放电能满足负荷需求,进一步降低了购电成本。As can be seen from Table 4, the total cost converted to one year after configuring hybrid energy storage is the lowest. Although the installation cost of hybrid energy storage is the highest, the configuration of hybrid energy storage significantly reduces the power fluctuation penalty cost and the cost of abandoning light. This is because supercapacitors suppress power fluctuations through rapid charging and discharging, reducing the power fluctuation penalty cost. In addition, the battery participates in operation scheduling, and stores excess electricity when the photovoltaic power is greater than the load, reducing the cost of abandoning light. When the photovoltaic output is low and the electricity price is high, the battery releases electricity to meet the load demand, further reducing the cost of purchasing electricity.
未配置储能时,由于光伏发电受云团遮挡等影响功率波动大,系统的功率波动惩罚成本高,同时由于没有储能参与新能源消纳,当光伏出力高于负荷时增加了弃光惩罚成本,当光伏出力低于负荷时仅能通过购电满足负荷需求,又提高了购电成本。仅配置电池时,受电池爬坡功率约束影响,电池对光伏功率波动的调节比较有限,因此惩罚成本较高。仅配置超级电容时,由于超级电容单位容量成本高昂,超级电容难以参与跨时调度,因此弃光成本和购电成本较高。When no energy storage is configured, the power fluctuation of photovoltaic power generation is large due to the influence of cloud obstruction, and the power fluctuation penalty cost of the system is high. At the same time, since there is no energy storage to participate in the consumption of new energy, when the photovoltaic output is higher than the load, the penalty cost of abandoning light increases. When the photovoltaic output is lower than the load, the load demand can only be met by purchasing electricity, which increases the cost of purchasing electricity. When only batteries are configured, the battery's adjustment of photovoltaic power fluctuations is relatively limited due to the battery's climbing power constraint, so the penalty cost is high. When only supercapacitors are configured, due to the high cost per unit capacity of supercapacitors, supercapacitors are difficult to participate in cross-time scheduling, so the cost of abandoning light and the cost of purchasing electricity are high.
通过四种配置策略对比可见,混合储能系统可以结合功率型储能和能量型储能两者优点,在平抑新能源发电功率波动与跨时调度等方面具有明显优势。By comparing the four configuration strategies, it can be seen that the hybrid energy storage system can combine the advantages of both power-type energy storage and energy-type energy storage, and has obvious advantages in smoothing the power fluctuations of renewable energy power generation and cross-time scheduling.
系统运行优化结果分析:Analysis of system operation optimization results:
以某一日的光伏出力曲线为例,图4展示了配置混合储能前后光伏功率波动情况,由图可见,配置混合储能后光伏功率波动得到了显著改善。未配置储能时并网点功率波动大且频繁,通过超级电容快速充放电平抑了高频及瞬时幅值较大的功率波动,同时电池储能也参与了一部分低频功率波动的平抑。图5展示了该日电池及超级电容的荷电状态,超级电容充放电状态转换频繁,而电池储能充放电状态转换少,这有利于延长电池储能的使用寿命,降低混合储能的运行维护成本。同时,电池储能在正午光伏出力高于负荷时吸收电能,并在电价较高时释放储存的电能,降低购电成本,提升光伏-混合储能系统的经济性。Taking the photovoltaic output curve of a certain day as an example, Figure 4 shows the photovoltaic power fluctuation before and after the configuration of hybrid energy storage. It can be seen from the figure that the photovoltaic power fluctuation has been significantly improved after the configuration of hybrid energy storage. When energy storage is not configured, the power fluctuation of the grid-connected point is large and frequent. The high-frequency and instantaneous power fluctuation with large amplitude is suppressed by the rapid charging and discharging of supercapacitors. At the same time, battery energy storage also participates in the suppression of some low-frequency power fluctuations. Figure 5 shows the charge state of the battery and supercapacitor on that day. The supercapacitor has frequent charge and discharge state transitions, while the battery energy storage has fewer charge and discharge state transitions, which is conducive to extending the service life of battery energy storage and reducing the operation and maintenance costs of hybrid energy storage. At the same time, battery energy storage absorbs electricity when the photovoltaic output is higher than the load at noon, and releases the stored electricity when the electricity price is high, reducing the cost of purchasing electricity and improving the economy of the photovoltaic-hybrid energy storage system.
以上所述,仅是本发明的较佳实施例而已,并非是对本发明作其它形式的限制,任何熟悉本专业的技术人员可能利用上述揭示的技术内容加以变更或改型为等同变化的等效实施例。但是凡是未脱离本发明技术方案内容,依据本发明的技术实质对以上实施例所作的任何简单修改、等同变化与改型,仍属于本发明技术方案的保护范围。The above is only a preferred embodiment of the present invention, and does not limit the present invention in other forms. Any technician familiar with the profession may use the above disclosed technical content to change or modify it into an equivalent embodiment with equivalent changes. However, any simple modification, equivalent change and modification made to the above embodiment according to the technical essence of the present invention without departing from the technical solution of the present invention still belongs to the protection scope of the technical solution of the present invention.
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| CN117175639A (en) * | 2023-09-08 | 2023-12-05 | 国网浙江省电力有限公司绍兴供电公司 | Distribution automation method and system coordinated with energy storage unit |
| CN117394402A (en) * | 2023-12-05 | 2024-01-12 | 铭沣工业自动化(上海)有限公司 | New energy storage system and energy storage method |
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| CN117175639A (en) * | 2023-09-08 | 2023-12-05 | 国网浙江省电力有限公司绍兴供电公司 | Distribution automation method and system coordinated with energy storage unit |
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| CN117394402A (en) * | 2023-12-05 | 2024-01-12 | 铭沣工业自动化(上海)有限公司 | New energy storage system and energy storage method |
| CN118983841A (en) * | 2024-07-12 | 2024-11-19 | 中国华电集团有限公司青海分公司 | A double-layer capacity optimization configuration method for a lithium-liquid flow battery hybrid energy storage system |
| CN118589541A (en) * | 2024-08-05 | 2024-09-03 | 浙江大学 | A two-layer optimization configuration method for a thermal-storage combined frequency regulation hybrid energy storage system |
| CN118589541B (en) * | 2024-08-05 | 2024-10-29 | 浙江大学 | A two-layer optimization configuration method for a thermal-storage combined frequency regulation hybrid energy storage system |
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