CN114844119A - Energy storage power generation installation and capacity optimal configuration method and system - Google Patents
Energy storage power generation installation and capacity optimal configuration method and system Download PDFInfo
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- H—ELECTRICITY
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- H—ELECTRICITY
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Abstract
一种储能发电装机和容量优化配置方法及系统,包括:将获取的电力系统参数和新能源全年理论功率序列输入预先构建的新能源时序生产模拟优化模型,计算得到新能源全年弃电序列;基于新能源全年弃电序列和新能源全年理论功率序列计算得到弃电消纳最低比例系数;将弃电消纳最低比例系数和新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求;其中,所述储能发电装机和容量优化模型是在满足新能源利用率时储能发电装机和容量经济成本最小为目标函数,以及设置的约束条件构建而成。充分考虑新能源出力的随机波动性,避免一次性同时优化新能源出力、储能发电装机和容量等带来的模型求解难题。
An energy storage power generation installed capacity and capacity optimization configuration method and system, comprising: inputting the acquired power system parameters and the annual theoretical power sequence of new energy into a pre-built new energy sequential production simulation optimization model, and calculating the annual curtailment of new energy Sequence; based on the annual power abandonment sequence of new energy and the annual theoretical power sequence of new energy, the minimum proportional coefficient of power abandonment consumption is calculated; the minimum proportional coefficient of power abandonment consumption and the annual power abandonment sequence of new energy are brought into the pre-built energy storage system The power generation installed capacity and capacity optimization model is used to obtain the energy storage power generation installed capacity and capacity requirements that meet the new energy utilization rate; wherein, the energy storage power generation installed capacity and capacity optimization model is the energy storage power generation installed capacity and capacity economic cost when the new energy utilization rate is met The minimum is constructed from the objective function and the set constraints. The random fluctuation of new energy output is fully considered, and the model solving problems caused by the one-time optimization of new energy output, installed capacity and capacity of energy storage and power generation are avoided.
Description
技术领域technical field
本发明涉及新能源与储能发电技术领域,具体涉及一种储能发电装机和容量优化配置方法及系统。The invention relates to the technical field of new energy and energy storage power generation, in particular to a method and system for the optimal configuration of installed capacity and capacity of energy storage power generation.
背景技术Background technique
高比例新能源接入电网后,增加了电网调峰、调频的压力。新能源的大规模并网运行,使供需双侧都呈现随机波动的特性,常规电源的出力不仅要跟随负荷变化,还要平衡新能源的出力波动,既加大了常规电源的调节压力,也增加了电网的平衡难度。电化学储能可以平抑新能源出力的随机性与波动性,即在发生新能源弃电时段,储能进行充电,在新能源未发生弃电时段,储能进行放电。通过配置电化学储能是解决新能源消纳问题的重要技术手段之一。After a high proportion of new energy sources are connected to the power grid, the pressure on peak regulation and frequency regulation of the power grid is increased. The large-scale grid-connected operation of new energy sources presents random fluctuations on both sides of supply and demand. The output of conventional power sources must not only follow the load changes, but also balance the output fluctuations of new energy sources, which not only increases the regulation pressure of conventional power sources, but also Increases the difficulty of balancing the power grid. Electrochemical energy storage can stabilize the randomness and volatility of new energy output, that is, when the new energy is abandoned, the energy storage is charged, and when the new energy is not abandoned, the energy storage is discharged. Configuring electrochemical energy storage is one of the important technical means to solve the problem of new energy consumption.
目前,电化学储能的投资成本仍然相对较高,配置电化学储能时需要兼顾经济性与新能源消纳两方面因素,在保证新能源利用率的前提下实现储能规模的合理优化配置。储能优化配置需要确定储能发电装机和储能容量两个要素,储能发电装机即储能逆变器额定功率值,代表了各时段下储能的最大充电和放电功率;储能容量代表其储存电量的最大值。储能发电装机和容量对消纳新能源弃电均有影响,如:当新能源弃电功率较大时,若储能发电装机不足,会使得部分弃电功率无法消纳;当出现长时间弃电时,若储能容量较小,会使得储能过早充满电后无法再消纳弃电。但过大的发电装机和容量又会增加储能投资的成本,因此,需要在满足新能源利用率要求下,在储能发电装机和容量之间找到平衡,得到最经济的储能配置方案。At present, the investment cost of electrochemical energy storage is still relatively high. When configuring electrochemical energy storage, it is necessary to take into account the two factors of economy and new energy consumption, and to achieve a reasonable and optimal configuration of energy storage scale on the premise of ensuring the utilization rate of new energy. . The optimal configuration of energy storage needs to determine two elements: the installed capacity of energy storage power generation and the energy storage capacity. The installed capacity of energy storage power generation is the rated power value of the energy storage inverter, which represents the maximum charging and discharging power of the energy storage in each period; the energy storage capacity represents The maximum amount of power it can store. The installed capacity and capacity of energy storage power generation have an impact on the consumption of new energy and abandoned electricity. For example, when the new energy abandoned electricity power is large, if the installed energy storage generation capacity is insufficient, part of the abandoned electricity cannot be absorbed; If the energy storage capacity is small, the energy storage will be unable to absorb the abandoned electricity after it is fully charged prematurely. However, excessive installed power generation capacity and capacity will increase the cost of energy storage investment. Therefore, it is necessary to find a balance between the installed capacity and capacity of energy storage power generation while meeting the requirements of new energy utilization to obtain the most economical energy storage configuration scheme.
时序生产模拟技术是规划问题中常用的技术方法,通过全年8760h逐时间断面的运行优化模拟,能够充分考虑新能源出力的随机波动性、系统电力电量平衡和电源调节作用。然而,针对省级等大规模电网,电源机组数量众多、电网结构复杂,在采用全年8760h时序生产模拟方法优化配置储能时,需要兼顾系统运行、常规电源机组组合、储能充放电状态和新能源消纳等多方面因素,模型直接求解难度极大。Time-series production simulation technology is a commonly used technical method in planning problems. Through the operation optimization simulation of 8760h of the whole year, the random fluctuation of new energy output, system power balance and power supply regulation can be fully considered. However, for large-scale power grids such as the provincial level, there are a large number of power units and a complex grid structure. When using the annual 8760h sequential production simulation method to optimize the allocation of energy storage, it is necessary to take into account the system operation, the combination of conventional power units, the state of energy storage charging and discharging, and Due to various factors such as new energy consumption, it is extremely difficult to directly solve the model.
针对该问题,已有方法通常采用以下方式进行解决:一是,仅以新能源在各季节或各月典型日出力为输入,这样由于所考虑的时间范围大大缩减,简化了问题的求解难度,但新能源典型日出力曲线难以完全反映新能源出力的随机波动性,会影响储能规划结果的科学性。二是,给定若干储能配置方案,针对每个配置方案进行全年时序生产模拟计算其对应的新能源利用率情况,然后对比各场景结果进行择优选取。但由于储能发电装机和容量均为可配置参量,可能的储能配置方案有无穷多种,由于无法穷尽所有的可能方案,该方法无法得到最优配置结果。此外,储能配置需要同时实现发电装机和容量的优化,部分方法采用给定储能时长的方式来优化储能容量,虽然简化了问题,但由于储能容量和发电装机之间比值保持固定,也极大限制了储能配置方案的灵活性,造成结果不准确。To solve this problem, the existing methods usually use the following methods to solve it: First, only the input of new energy in each season or the typical day of each month, which greatly reduces the time range considered, which simplifies the difficulty of solving the problem. However, the typical daily output curve of new energy cannot fully reflect the random fluctuation of new energy output, which will affect the scientificity of energy storage planning results. Second, given a number of energy storage configuration schemes, the annual sequential production simulation is carried out for each configuration scheme to calculate its corresponding new energy utilization rate, and then the results of each scenario are compared to make an optimal selection. However, since the installed capacity and capacity of energy storage and power generation are configurable parameters, there are infinitely many possible energy storage configuration schemes. Since all possible schemes cannot be exhausted, this method cannot obtain the optimal configuration result. In addition, the energy storage configuration needs to optimize the installed power generation capacity and capacity at the same time. Some methods use a given energy storage duration to optimize the energy storage capacity. Although the problem is simplified, the ratio between the energy storage capacity and the installed power generation capacity remains fixed. It also greatly limits the flexibility of the energy storage configuration scheme, resulting in inaccurate results.
发明内容SUMMARY OF THE INVENTION
为了解决现有技术中,未充分考虑新能源出力随机波动性,以及难以一次性获得储能最优的发电装机和容量的问题,本发明提出了一种储能发电装机和容量优化配置方法,包括:In order to solve the problems in the prior art that the random fluctuation of new energy output is not fully considered, and it is difficult to obtain the optimal power generation capacity and capacity of energy storage at one time, the present invention proposes an energy storage power generation installation and capacity optimization configuration method, include:
将获取的电力系统参数和新能源全年理论功率序列输入预先构建的不包含储能的新能源时序生产模拟优化模型,计算得到新能源全年弃电序列;Input the obtained power system parameters and the annual theoretical power sequence of new energy into the pre-built new energy sequential production simulation optimization model that does not include energy storage, and calculate the annual power abandonment sequence of new energy;
基于所述新能源全年弃电序列和所述新能源全年理论功率序列计算得到弃电消纳最低比例系数;Based on the annual power abandonment sequence of the new energy source and the annual theoretical power sequence of the new energy source, the minimum proportional coefficient of power abandonment consumption is obtained;
将所述弃电消纳最低比例系数和所述新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求;Bringing the minimum proportional coefficient of abandoned electricity consumption and the new energy annual abandonment sequence into a pre-built energy storage power generation installed capacity and capacity optimization model to obtain the energy storage power generation installed capacity and capacity requirements that meet the utilization rate of new energy;
其中,所述新能源时序生产模拟优化模型是以全网新能源消纳量最大为优化目标,以电网功率平衡、系统备用需求、各类电源运行和断面传输安全为约束条件构建的;Among them, the new energy sequential production simulation optimization model is constructed with the optimization goal of maximizing the consumption of new energy in the whole network, and the constraints of grid power balance, system backup demand, operation of various power sources and cross-section transmission safety;
所述储能发电装机和容量优化模型是在满足新能源利用率时储能发电装机和容量经济成本最小为目标函数,以及为所述目标函数设置的约束条件构建而成。The energy storage power generation installed capacity and capacity optimization model is constructed by taking the minimum economic cost of the energy storage power generation installed capacity and capacity as the objective function and the constraints set for the objective function when the new energy utilization rate is satisfied.
优选的,所述储能发电装机和容量优化模型的构建,包括:Preferably, the construction of the energy storage power generation installed capacity and capacity optimization model includes:
以储能发电装机和容量经济成本最小为目标函数,为目标函数设置储能容量约束、储能系统充放电功率约束、储能荷电状态约束、储能时长约束和弃电消纳量约束;Taking the minimum installed capacity of energy storage power generation and capacity economic cost as the objective function, set energy storage capacity constraints, energy storage system charge and discharge power constraints, energy storage state of charge constraints, energy storage duration constraints and power abandonment consumption constraints for the objective function;
由所述目标函数和所述储能容量约束、储能系统充放电功率约束、储能荷电状态约束、储能时长约束、弃电消纳量约束构建储能发电装机和容量优化模型。Based on the objective function and the energy storage capacity constraints, energy storage system charge and discharge power constraints, energy storage state of charge constraints, energy storage duration constraints, and power abandonment consumption constraints, an energy storage power generation installed capacity and capacity optimization model is constructed.
优选的,所述将所述弃电消纳最低比例系数和所述新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求,包括:Preferably, the minimum proportional coefficient of power abandonment and consumption and the annual power abandonment sequence of new energy sources are brought into a pre-built energy storage power generation installed capacity and capacity optimization model to obtain an energy storage power generation installed capacity and a capacity optimization model that satisfies the utilization rate of new energy. Capacity requirements, including:
将所述新能源全年弃电序列输入到所述储能发电装机和容量优化模型,利用数学规划求解器进行求解,得到最优储能发电装机和容量。Inputting the new energy year-round power abandonment sequence into the energy storage power generation installed capacity and capacity optimization model, and using a mathematical programming solver to solve the problem to obtain the optimal energy storage power generation installed capacity and capacity.
优选的,所述新能源全年弃电序列按下式计算:Preferably, the annual power abandonment sequence of the new energy source is calculated as follows:
Pc={Pc(t),t=1,2,…,T}P c ={P c (t),t=1,2,...,T}
式中,Pc为新能源全年弃电序列,Pc(t)为t时段的新能源弃电功率,t为时段,T为全年所有时段数量。In the formula, P c is the annual curtailment sequence of new energy sources, P c (t) is the curtailment power of new energy sources in the t period, t is the period, and T is the number of all periods of the year.
优选的,所述弃电消纳最低比例系数按下式计算:Preferably, the minimum proportional coefficient of the waste electricity consumption is calculated as follows:
式中,α为弃电消纳最低比例系数,r为新能源利用率,P0(t)为理论功率序列,Pc(t)为新能源弃电序列,T为全年所有时段数量。In the formula, α is the minimum proportional coefficient of power abandonment consumption, r is the utilization rate of new energy, P 0 (t) is the theoretical power sequence, P c (t) is the power abandonment sequence of new energy, and T is the number of all periods of the year.
优选的,所述储能发电装机和容量优化模型的目标函数按下式计算:Preferably, the objective function of the energy storage power generation installed capacity and capacity optimization model is calculated as follows:
min c1Emax+c2Pmax min c 1 E max +c 2 P max
式中,c1为单位储能容量成本,Emax为储能容量,c2为单位储能发电装机成本,Pmax为储能发电装机。In the formula, c 1 is the unit energy storage capacity cost, E max is the energy storage capacity, c 2 is the unit energy storage power generation installed cost, and P max is the energy storage power generation installed capacity.
优选的,所述弃电消纳量约束按下式计算:Preferably, the constraint on the amount of waste electricity consumption is calculated as follows:
式中,Pch(t)为储能在t时刻的充电功率,α为弃电消纳最低比例系数,Pc(t)为新能源弃电序列,T为全年所有时段数量。In the formula, P ch (t) is the charging power of the energy storage at time t, α is the minimum proportional coefficient of power abandonment consumption, P c (t) is the new energy power abandonment sequence, and T is the number of all periods of the year.
基于同一发明构思,本发明还提出了一种储能发电装机和容量优化配置系统,包括:Based on the same inventive concept, the present invention also proposes an energy storage power generation installed capacity and capacity optimization configuration system, including:
计算序列模块,用于将获取的电力系统参数和新能源全年理论功率序列输入预先构建的不包含储能的新能源时序生产模拟优化模型,计算得到新能源全年弃电序列;The calculation sequence module is used to input the acquired power system parameters and the annual theoretical power sequence of new energy into the pre-built new energy sequential production simulation optimization model that does not include energy storage, and calculate the annual power abandonment sequence of new energy;
计算系数模块,用于基于所述新能源全年弃电序列和所述新能源全年理论功率序列计算得到弃电消纳最低比例系数;A calculation coefficient module, used to calculate and obtain the minimum proportional coefficient of power abandonment and consumption based on the annual power abandonment sequence of the new energy source and the annual theoretical power sequence of the new energy source;
模型求解模块,用于将所述弃电消纳最低比例系数和所述新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求;The model solving module is used to bring the minimum proportional coefficient of power abandonment consumption and the annual power abandonment sequence of new energy into a pre-built energy storage power generation installed capacity and capacity optimization model, so as to obtain the energy storage power generation installed capacity that meets the utilization rate of new energy. and capacity requirements;
其中,所述新能源时序生产模拟优化模型是以全网新能源消纳量最大为优化目标,以电网功率平衡、系统备用需求、各类电源运行和断面传输安全为约束条件构建的;Among them, the new energy sequential production simulation optimization model is constructed with the optimization goal of maximizing the consumption of new energy in the whole network, and the constraints of grid power balance, system backup demand, operation of various power sources and cross-section transmission safety;
所述储能发电装机和容量优化模型是在满足新能源利用率时储能发电装机和容量经济成本最小为目标函数,以及为所述目标函数设置的约束条件构建而成。The energy storage power generation installed capacity and capacity optimization model is constructed by taking the minimum economic cost of the energy storage power generation installed capacity and capacity as the objective function and the constraints set for the objective function when the new energy utilization rate is satisfied.
优选的,所述模型求解模块具体用于:Preferably, the model solving module is specifically used for:
将所述新能源全年弃电序列输入到所述储能发电装机和容量优化模型,利用数学规划求解器进行求解,得到最优储能发电装机和容量。Inputting the new energy year-round power abandonment sequence into the energy storage power generation installed capacity and capacity optimization model, and using a mathematical programming solver to solve the problem to obtain the optimal energy storage power generation installed capacity and capacity.
优选的,所述计算系数模块通过下式计算弃电消纳最低比例系数:Preferably, the calculation coefficient module calculates the minimum proportional coefficient of power abandonment consumption by the following formula:
式中,α为弃电消纳最低比例系数,r为新能源利用率,P0(t)为理论功率序列,Pc(t)为新能源弃电序列,T为全年所有时段数量。In the formula, α is the minimum proportional coefficient of power abandonment consumption, r is the utilization rate of new energy, P 0 (t) is the theoretical power sequence, P c (t) is the power abandonment sequence of new energy, and T is the number of all periods of the year.
与现有技术相比,本发明的有益效果为:Compared with the prior art, the beneficial effects of the present invention are:
一种储能发电装机和容量优化配置方法及系统,包括:将获取的电力系统参数和新能源全年理论功率序列输入预先构建的不包含储能的新能源时序生产模拟优化模型,计算得到新能源全年弃电序列;基于所述新能源全年弃电序列和所述新能源全年理论功率序列计算得到弃电消纳最低比例系数;将所述弃电消纳最低比例系数和所述新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求;其中,所述新能源时序生产模拟优化模型是以全网新能源消纳量最大为优化目标,以电网功率平衡、系统备用需求、各类电源运行和断面传输安全为约束条件构建的;所述储能发电装机和容量优化模型是在满足新能源利用率时储能发电装机和容量经济成本最小为目标函数,以及为所述目标函数设置的约束条件构建而成;本发明通过分步计算既考虑了新能源出力的随机波动性,又兼顾了储能投资经济性、新能源消纳、火电机组组合优化,以及模型计算效率等多方面因素,可直接得到储能的最优发电装机和容量。An energy storage power generation installed capacity and capacity optimization configuration method and system, comprising: inputting the acquired power system parameters and the annual theoretical power sequence of new energy into a pre-built new energy time series production simulation optimization model that does not include energy storage, and calculating a new energy The annual power abandonment sequence of energy sources; based on the annual power abandonment sequence of new energy sources and the annual theoretical power sequence of new energy sources, the minimum proportional coefficient of power abandonment consumption is calculated; the minimum proportional coefficient of power abandonment consumption and the The new energy annual power abandonment sequence is brought into the pre-built energy storage power generation installed capacity and capacity optimization model to obtain the energy storage power generation installed capacity and capacity requirements to meet the new energy utilization rate; wherein, the new energy time series production simulation optimization model is based on the whole network. The optimization goal is to maximize the consumption of new energy, and it is constructed with the constraints of grid power balance, system backup demand, various power supply operations and cross-section transmission safety; the energy storage power generation installed capacity and capacity optimization model is to meet the new energy utilization rate. It is constructed by taking the minimum installed capacity and economic cost of energy storage and capacity as the objective function and the constraints set for the objective function; the present invention not only considers the random fluctuation of the output of new energy, but also takes into account the energy storage through step-by-step calculation. Factors such as investment economy, new energy consumption, optimization of thermal power unit combination, and model calculation efficiency can directly obtain the optimal power generation capacity and capacity of energy storage.
附图说明Description of drawings
图1为本发明一种储能发电装机和容量优化配置方法流程图;Fig. 1 is a flow chart of an energy storage power generation installed capacity and capacity optimization configuration method of the present invention;
图2为本发明促进新能源消纳的储能功率与容量优化方法流程图;Fig. 2 is the flow chart of the energy storage power and capacity optimization method for promoting new energy consumption according to the present invention;
图3为本发明新能源8760h的弃电序列图;Fig. 3 is the power abandonment sequence diagram of the new energy 8760h of the present invention;
图4为本发明的连续2日内储能配置前后的新能源弃电功率和储能充放电功率图。FIG. 4 is a diagram of the new energy abandoned power and the energy storage charging and discharging power before and after the energy storage configuration in the present invention for 2 consecutive days.
具体实施方式Detailed ways
为了实现促进新能源消纳的同时,实现电化学储能额定容量与额定功率最优,本发明通过两步优化,首先不考虑储能接入,通过建立新能源时序生产模拟优化模型,计算新能源弃电序列;然后,基于新能源弃电序列,结合新能源利用率目标,计算弃电序列中需要利用储能回收消纳的电量规模设置;最后,建立基于新能源弃电的储能发电装机和容量优化模型,通过求解该模型得到最小经济成本下的储能发电装机和容量规模。为了更好地理解本发明,下面结合说明书附图和实例对本发明的内容做进一步的说明。In order to realize the optimization of the rated capacity and rated power of electrochemical energy storage while promoting the consumption of new energy, the present invention adopts two-step optimization, firstly without considering the connection of energy storage, and by establishing a new energy sequential production simulation optimization model to calculate the new energy energy curtailment sequence; then, based on the new energy curtailment sequence, combined with the new energy utilization rate target, calculate the power scale setting that needs to be recycled and consumed by energy storage in the curtailed power sequence; finally, establish an energy storage power generation based on new energy curtailment Installed capacity and capacity optimization model, by solving the model, the installed capacity and capacity scale of energy storage power generation under the minimum economic cost can be obtained. In order to better understand the present invention, the content of the present invention will be further described below with reference to the accompanying drawings and examples.
实施例1:Example 1:
一种储能发电装机和容量优化配置方法,其实现过程如图1所示,包括:An energy storage power generation installed capacity and capacity optimization configuration method, the realization process of which is shown in Figure 1, including:
步骤1,将获取的电力系统参数和新能源全年理论功率序列输入预先构建的不包含储能的新能源时序生产模拟优化模型,计算得到新能源全年弃电序列;Step 1: Input the acquired power system parameters and the annual theoretical power sequence of new energy into a pre-built new energy sequential production simulation optimization model that does not include energy storage, and calculate the annual curtailment sequence of new energy;
步骤2,基于所述新能源全年弃电序列和所述新能源全年理论功率序列计算得到弃电消纳最低比例系数;Step 2, based on the annual power abandonment sequence of the new energy source and the annual theoretical power sequence of the new energy source, calculate and obtain the minimum proportional coefficient of power abandonment consumption;
步骤3,将所述弃电消纳最低比例系数和所述新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求;Step 3: Bring the minimum proportional coefficient of power abandonment and consumption and the new energy annual power abandonment sequence into a pre-built energy storage power generation installed capacity and capacity optimization model to obtain the energy storage power generation installed capacity and capacity requirements that meet the new energy utilization rate. ;
其中,所述新能源时序生产模拟优化模型是以全网新能源消纳量最大为优化目标,以电网功率平衡、系统备用需求、各类电源运行和断面传输安全为约束条件构建的;Among them, the new energy sequential production simulation optimization model is constructed with the optimization goal of maximizing the consumption of new energy in the whole network, and the constraints of grid power balance, system backup demand, operation of various power sources and cross-section transmission safety;
所述储能发电装机和容量优化模型是在满足新能源利用率时储能发电装机和容量经济成本最小为目标函数,以及为所述目标函数设置的约束条件构建而成。The energy storage power generation installed capacity and capacity optimization model is constructed by taking the minimum economic cost of the energy storage power generation installed capacity and capacity as the objective function and the constraints set for the objective function when the new energy utilization rate is satisfied.
下面对本发明的一种储能发电装机和容量优化配置方法,结合图2进行详细介绍。A method of the present invention for an energy storage power generation installed capacity and a capacity optimization configuration method will be described in detail below with reference to FIG. 2 .
步骤1中的,将获取的电力系统参数和新能源全年理论功率序列输入预先构建的不包含储能的新能源时序生产模拟优化模型,计算得到新能源全年弃电序列,具体包括:In step 1, the obtained power system parameters and the annual theoretical power sequence of new energy are input into the pre-built new energy sequential production simulation optimization model that does not include energy storage, and the annual power abandonment sequence of new energy is calculated, including:
根据给定场景下的电力系统参数,进行不包含电化学储能的新能源时序生产模拟。建立不包含储能的新能源时序生产模拟优化模型,模型以全网新能源消纳量最大为优化目标,考虑电网功率平衡约束、系统备用需求约束、各类电源运行约束、断面传输安全约束等。According to the power system parameters in a given scenario, a new energy sequential production simulation without electrochemical energy storage is carried out. Establish a new energy sequential production simulation optimization model that does not include energy storage. The model takes the maximum new energy consumption of the entire network as the optimization goal, and considers the power balance constraints of the grid, system reserve demand constraints, various power supply operation constraints, and cross-section transmission safety constraints, etc. .
以新能源全年理论功率序列P0={P0(t),t=1,2,…,T}、用电负荷、电网及电源参数等为输入,通过全年时序生产模拟优化计算,获取新能源弃电序列Pc=Pc(t),t=1,2,…,T},其中Pc(t)为t时段的新能源弃电功率,T为全年所有时段数量,Pc表示新能源全年弃电序列集合。全年时序生产模拟优化计算可采用已有的逐周计算等方式,提高求解效率。Taking the annual theoretical power sequence of new energy P 0 ={P 0 (t),t=1,2,…,T}, electricity load, power grid and power supply parameters as input, through the annual sequential production simulation optimization calculation, Obtain the new energy power abandonment sequence P c =P c (t), t = 1,2,...,T}, where P c (t) is the new energy power abandonment power in the t period, T is the number of all periods of the year, P c represents the collection of new energy curtailment series throughout the year. The simulation optimization calculation of the annual time series production can adopt the existing weekly calculation methods to improve the solution efficiency.
步骤2中的,基于所述新能源全年弃电序列和所述新能源全年理论功率序列计算得到弃电消纳最低比例系数,具体包括:In step 2, based on the annual power abandonment sequence of the new energy source and the annual theoretical power sequence of the new energy source, the minimum proportional coefficient of power abandonment consumption is calculated and obtained, specifically including:
基于新能源弃电序列Pc,获取储能在各时段下的充放电状态序列x={x(t),t=1,2,…,T},t时刻的充放电状态x(t)等于t时刻弃电功率的Pc(t)的符号函数,如下:Based on the new energy power abandonment sequence P c , obtain the charge and discharge state sequence x={x(t), t=1, 2, . The sign function of P c (t) equal to the power discarded at time t is as follows:
x(t)=sgn(Pc(t))x(t)=sgn(P c (t))
其中,符号函数为:where the symbolic function is:
充放电状态的意义为,当系统存在新能源弃电时(Pc(t)>0),储能充放电状态置为1,表示可以进行充电;当系统无新能源弃电时(Pc(t)=0),储能充放电状态为0,表示储能可以进行放电。The meaning of the charge-discharge status is that when the system has new energy abandoned (P c (t)>0), the energy storage charge and discharge status is set to 1, indicating that charging can be performed; when the system has no new energy abandoned (P c (t)>0) (t)=0), the charging and discharging state of the energy storage is 0, indicating that the energy storage can be discharged.
基于新能源弃电序列Pc和理论功率序列P0,计算为满足新能源利用率目前r的情况下,需要在新能源弃电电量中消纳的最低比例系数α:Based on the new energy power abandonment sequence P c and the theoretical power sequence P 0 , calculate the minimum proportional coefficient α that needs to be absorbed in the new energy power abandonment power in order to meet the current r of the new energy utilization rate:
步骤3中的,将所述弃电消纳最低比例系数和所述新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求,具体包括:In step 3, the minimum proportional coefficient of power abandonment consumption and the annual power abandonment sequence of new energy sources are brought into a pre-built energy storage power generation installed capacity and capacity optimization model to obtain an energy storage power generation installed capacity and a capacity optimization model that satisfies the utilization rate of new energy. Capacity requirements, including:
基于新能源全年弃电序列和弃电消纳最低比例系数,建立储能发电装机和容量优化模型,计算满足新能源利用率情况下储能最经济的发电装机和容量需求。Based on the annual abandonment sequence of new energy and the minimum proportional coefficient of abandoned electricity consumption, an installed capacity and capacity optimization model of energy storage is established to calculate the most economical installed capacity and capacity demand of energy storage under the condition of new energy utilization.
储能发电装机和容量优化模型目标函数为:The objective function of the energy storage power generation installed capacity and capacity optimization model is:
min c1Emax+c2Pmax min c 1 E max +c 2 P max
式中:Emax表示储能容量,为优化变量;Pmax表示储能发电装机,为优化变量;c1表示单位储能容量成本,c2表示单位储能发电装机成本。In the formula: E max represents the energy storage capacity, which is an optimization variable; P max represents the installed capacity of energy storage power generation, which is an optimization variable; c 1 represents the unit energy storage capacity cost, and c 2 represents the unit energy storage power generation installed cost.
约束条件包括:Constraints include:
(1)储能容量约束:(1) Energy storage capacity constraints:
0≤E(t)≤Emax 0≤E(t)≤E max
E(t)为储能在t时刻的储电量,为优化变量。该约束表示t时刻的储能的储电量E(t)不能大于储能容量Emax。E(t) is the stored power of the energy storage at time t, which is an optimization variable. This constraint means that the stored electricity E(t) of the energy storage at time t cannot be greater than the energy storage capacity E max .
(2)储能系统充放电功率约束:(2) Charge and discharge power constraints of the energy storage system:
Pch(t)表示储能在t时刻的充电功率,为优化变量;Pdc(t)表示储能在t时刻的放电功率,为优化变量。该约束表示t时刻的充电功率Pch(t)与放电功率Pdc(t)不超过其发电装机Pmax,并且由充放电状态x(t)决定,并且充电和放电功率不会同时为正。由步骤2可知,储能t时刻的充放电状态x(t)已提前确定,为已知量。当x(t)等于1时,充电功率Pch(t)在0到Pmax间取值,即可以进行充电,而放电功率Pdc(t)被约束为0;相反,当x(t)等于0时,放电功率Pdc(t)在0到Pmax间取值,充电功率Pch(t)被约束为0。P ch (t) represents the charging power of the energy storage at time t, which is an optimization variable; P dc (t) represents the discharging power of the energy storage at time t, which is an optimization variable. This constraint means that the charging power P ch (t) and the discharging power P dc (t) at time t do not exceed their installed power generation capacity P max , and are determined by the charging and discharging state x(t), and the charging and discharging power will not be positive at the same time . It can be seen from step 2 that the charge-discharge state x(t) at the time of energy storage t has been determined in advance and is a known quantity. When x(t) is equal to 1, the charging power P ch (t) takes a value between 0 and P max , that is, charging can be performed, while the discharging power P dc (t) is constrained to be 0; on the contrary, when x(t) When equal to 0, the discharge power P dc (t) takes a value between 0 and P max , and the charging power P ch (t) is constrained to be zero.
(3)储能荷电状态约束:(3) Energy storage state of charge constraints:
该约束描述了储能相邻时刻储电量与充电和放电功率之间的关系。即:E(t)表示t时刻储能的储电量,为优化变量;E(t-1)表示t-1时刻储能的储电量,为优化变量;η表示储能的充放电效率。This constraint describes the relationship between energy storage and charging and discharging power at adjacent times of energy storage. That is: E(t) represents the energy storage of energy storage at time t, which is an optimization variable; E(t-1) represents the energy storage of energy storage at time t-1, which is an optimization variable; η represents the charging and discharging efficiency of energy storage.
(4)储能时长约束:(4) Constraints on the duration of energy storage:
nPmax≤Emax nP max ≤E max
该约束表示储能的时长要大于给定的最小储能时长,n表示储能的最小时长。This constraint means that the duration of energy storage is greater than the given minimum duration of energy storage, and n represents the minimum duration of energy storage.
(5)弃电消纳量约束:(5) Constraints on the consumption of waste electricity:
该约束表示储能全年的储电量应大于新能源弃电量消纳的最低比例。This constraint means that the annual storage capacity of energy storage should be greater than the minimum proportion of new energy waste power consumption.
由于储能的充放电状态已提前确定,因此上述的储能发电装机和容量优化模型为线性规划模型,并且不包含整数变量。Since the charging and discharging state of energy storage has been determined in advance, the above-mentioned energy storage power generation installed capacity and capacity optimization model is a linear programming model and does not contain integer variables.
调用数学规划求解器,求解储能发电装机和容量优化模型,获取储能的最优发电装机和容量。Call the mathematical programming solver to solve the energy storage power generation installed capacity and capacity optimization model, and obtain the optimal power generation installed capacity and capacity of the energy storage.
基于某省级电网开展储能优化配置计算。首先,通过建立全年8760h时序生产模拟优化模型,在不考虑储能接入情况下,通过优化计算获得全省新能源8760h的弃电序列,弃电序列如附图3所示。经统计,在不配置储能的情况下,全省新能源消纳量为407.6亿千瓦时,弃电量为52.1亿千瓦时,新能源利用率为88.7%。设置配置储能后新能源利用率目标为95%,通过计算可知为满足新能源利用率95%的目标,至少需要再消纳29.1亿千瓦时的弃电量,新能源弃电电量中消纳的最低比例系数为0.559。Based on a provincial power grid, the optimal configuration calculation of energy storage is carried out. First, by establishing a simulation optimization model of the annual 8760h time series production, without considering the access of energy storage, the 8760h power abandonment sequence of the province's new energy sources is obtained through optimization calculation. The power abandonment sequence is shown in Figure 3. According to statistics, without energy storage, the province's new energy consumption is 40.76 billion kWh, and the abandoned electricity is 5.21 billion kWh, and the new energy utilization rate is 88.7%. The new energy utilization target after the configuration of energy storage is set to 95%. According to the calculation, in order to meet the new energy utilization target of 95%, at least another 2.91 billion kWh of abandoned electricity needs to be consumed. The minimum scale factor is 0.559.
设置储能发电装机成本为500元/千瓦、容量成本为2000元/千瓦时、充电和放电效率均为95%,基于新能源全年8760h的弃电序列,建立储能发电装机和容量优化模型,通过优化求解,得到储能的最优发电装机为2924MW,最优容量为11221MWh,经折算储能时长为3.8h。附图4展示了连续2日内配置储能前后的新能源弃电功率、储能充放电功率,可以发现储能在发生新能源弃电时段进行充电,在未发生弃电时段进行放电,实现了新能源弃电的消纳。经统计,不配置储能时的生产模拟计算时间为8.7分钟,储能发电装机和容量优化模型的计算时间为0.75分钟,总时长能够满足工程实用性需求。The installed cost of energy storage power generation is set at 500 yuan/kW, the capacity cost is set at 2000 yuan/kWh, and the charging and discharging efficiencies are both 95%. Based on the 8,760-h power abandonment sequence of new energy throughout the year, an energy storage power generation installed capacity and capacity optimization model is established. , through the optimization solution, the optimal power generation installed capacity of energy storage is 2924MW, the optimal capacity is 11221MWh, and the converted energy storage time is 3.8h. Figure 4 shows the new energy abandoned power and energy storage charging and discharging power before and after the configuration of energy storage for 2 consecutive days. It can be found that the energy storage is charged during the period of new energy abandonment, and discharged during the period when no abandonment occurs. Consumption of energy waste electricity. According to statistics, the calculation time of production simulation without energy storage is 8.7 minutes, and the calculation time of energy storage power generation installed capacity and capacity optimization model is 0.75 minutes, and the total time can meet the needs of engineering practicability.
实施例2:Example 2:
一种储能发电装机和容量优化配置系统,包括:An energy storage power generation installed capacity and capacity optimization configuration system, comprising:
计算序列模块,用于将获取的电力系统参数和新能源全年理论功率序列输入预先构建的不包含储能的新能源时序生产模拟优化模型,计算得到新能源全年弃电序列;The calculation sequence module is used to input the acquired power system parameters and the annual theoretical power sequence of new energy into the pre-built new energy sequential production simulation optimization model that does not include energy storage, and calculate the annual power abandonment sequence of new energy;
计算系数模块,用于基于所述新能源全年弃电序列和所述新能源全年理论功率序列计算得到弃电消纳最低比例系数;A calculation coefficient module, used to calculate and obtain the minimum proportional coefficient of power abandonment and consumption based on the annual power abandonment sequence of the new energy source and the annual theoretical power sequence of the new energy source;
模型求解模块,用于将所述弃电消纳最低比例系数和所述新能源全年弃电序列带入预先构建储能发电装机和容量优化模型,得到满足新能源利用率的储能发电装机和容量需求;The model solving module is used to bring the minimum proportional coefficient of power abandonment consumption and the annual power abandonment sequence of new energy into a pre-built energy storage power generation installed capacity and capacity optimization model, so as to obtain the energy storage power generation installed capacity that meets the utilization rate of new energy. and capacity requirements;
其中,所述新能源时序生产模拟优化模型是以全网新能源消纳量最大为优化目标,以电网功率平衡、系统备用需求、各类电源运行和断面传输安全为约束条件构建的;Among them, the new energy sequential production simulation optimization model is constructed with the optimization goal of maximizing the consumption of new energy in the whole network, and the constraints of grid power balance, system backup demand, operation of various power sources and cross-section transmission safety;
所述储能发电装机和容量优化模型是在满足新能源利用率时储能发电装机和容量经济成本最小为目标函数,以及为所述目标函数设置的约束条件构建而成。The energy storage power generation installed capacity and capacity optimization model is constructed by taking the minimum economic cost of the energy storage power generation installed capacity and capacity as the objective function and the constraints set for the objective function when the new energy utilization rate is satisfied.
计算序列模块,具体用于:Computational sequence module, specifically for:
根据给定场景下的电力系统参数,进行不包含电化学储能的新能源时序生产模拟。建立不包含储能的新能源时序生产模拟优化模型,模型以全网新能源消纳量最大为优化目标,考虑电网功率平衡约束、系统备用需求约束、各类电源运行约束、断面传输安全约束等。According to the power system parameters in a given scenario, a new energy sequential production simulation without electrochemical energy storage is carried out. Establish a new energy sequential production simulation optimization model that does not include energy storage. The model takes the maximum new energy consumption of the entire network as the optimization goal, and considers the power balance constraints of the grid, system reserve demand constraints, various power supply operation constraints, and cross-section transmission safety constraints, etc. .
以新能源全年理论功率序列P0={P0(t),t=1,2,…,T}、用电负荷、电网及电源参数等为输入,通过全年时序生产模拟优化计算,获取新能源弃电序列Pc=Pc(t),t=1,2,…,T},其中Pc(t)为t时段的新能源弃电功率,T为全年所有时段数量,Pc表示新能源全年弃电序列集合。全年时序生产模拟优化计算可采用已有的逐周计算等方式,提高求解效率。Taking the annual theoretical power sequence of new energy P 0 ={P 0 (t),t=1,2,…,T}, electricity load, power grid and power supply parameters as input, through the annual sequential production simulation optimization calculation, Obtain the new energy power abandonment sequence P c =P c (t), t = 1,2,...,T}, where P c (t) is the new energy power abandonment power in the t period, T is the number of all periods of the year, P c represents the collection of new energy curtailment series throughout the year. The simulation optimization calculation of the annual time series production can adopt the existing weekly calculation methods to improve the solution efficiency.
计算系数模块,据图用于:The calculation coefficient module, according to the figure, is used for:
基于新能源弃电序列Pc,获取储能在各时段下的充放电状态序列x={x(t),t=1,2,…,T},t时刻的充放电状态x(t)等于t时刻弃电功率的Pc(t)的符号函数,如下:Based on the new energy power abandonment sequence P c , obtain the charge and discharge state sequence x={x(t), t=1, 2, . The sign function of P c (t) equal to the power discarded at time t is as follows:
x(t)=sgn(Pc(t))x(t)=sgn(P c (t))
其中,符号函数为:where the symbolic function is:
充放电状态的意义为,当系统存在新能源弃电时(Pc(t)>0),储能充放电状态置为1,表示可以进行充电;当系统无新能源弃电时(Pc(t)=0),储能充放电状态为0,表示储能可以进行放电。The meaning of the charge-discharge status is that when the system has new energy abandoned (P c (t)>0), the energy storage charge and discharge status is set to 1, indicating that charging can be performed; when the system has no new energy abandoned (P c (t)>0) (t)=0), the charging and discharging state of the energy storage is 0, indicating that the energy storage can be discharged.
基于新能源弃电序列Pc和理论功率序列P0,计算为满足新能源利用率目前r的情况下,需要在新能源弃电电量中消纳的最低比例系数α:Based on the new energy power abandonment sequence P c and the theoretical power sequence P 0 , calculate the minimum proportional coefficient α that needs to be absorbed in the new energy power abandonment power in order to meet the current r of the new energy utilization rate:
模型求解模块,具体用于:Model solver module, specifically for:
基于新能源全年弃电序列和弃电消纳最低比例系数,建立储能发电装机和容量优化模型,计算满足新能源利用率情况下储能最经济的发电装机和容量需求。Based on the annual abandonment sequence of new energy and the minimum proportional coefficient of abandoned electricity consumption, an installed capacity and capacity optimization model of energy storage is established to calculate the most economical installed capacity and capacity demand of energy storage under the condition of new energy utilization.
储能发电装机和容量优化模型目标函数为:The objective function of the energy storage power generation installed capacity and capacity optimization model is:
min c1Emax+c2Pmax min c 1 E max +c 2 P max
式中:Emax表示储能容量,为优化变量;Pmax表示储能发电装机,为优化变量;c1表示单位储能容量成本,c2表示单位储能发电装机成本。In the formula: E max represents the energy storage capacity, which is an optimization variable; P max represents the installed capacity of energy storage power generation, which is an optimization variable; c 1 represents the unit energy storage capacity cost, and c 2 represents the unit energy storage power generation installed cost.
约束条件包括:Constraints include:
(1)储能容量约束:(1) Energy storage capacity constraints:
0≤E(t)≤Emax 0≤E(t)≤E max
E(t)为储能在t时刻的储电量,为优化变量。该约束表示t时刻的储能的储电量E(t)不能大于储能容量Emax。E(t) is the stored power of the energy storage at time t, which is an optimization variable. This constraint means that the stored electricity E(t) of the energy storage at time t cannot be greater than the energy storage capacity E max .
(2)储能系统充放电功率约束:(2) Charge and discharge power constraints of the energy storage system:
Pch(t)表示储能在t时刻的充电功率,为优化变量;Pdc(t)表示储能在t时刻的放电功率,为优化变量。该约束表示t时刻的充电功率Pch(t)与放电功率Pdc(t)不超过其发电装机Pmax,并且由充放电状态x(t)决定,并且充电和放电功率不会同时为正。由步骤2可知,储能t时刻的充放电状态x(t)已提前确定,为已知量。当x(t)等于1时,充电功率Pch(t)在0到Pmax间取值,即可以进行充电,而放电功率Pdc(t)被约束为0;相反,当x(t)等于0时,放电功率Pdc(t)在0到Pmax间取值,充电功率Pch(t)被约束为0。P ch (t) represents the charging power of the energy storage at time t, which is an optimization variable; P dc (t) represents the discharging power of the energy storage at time t, which is an optimization variable. This constraint means that the charging power P ch (t) and the discharging power P dc (t) at time t do not exceed their installed power generation capacity P max , and are determined by the charging and discharging state x(t), and the charging and discharging power will not be positive at the same time . It can be seen from step 2 that the charge-discharge state x(t) at the time of energy storage t has been determined in advance and is a known quantity. When x(t) is equal to 1, the charging power P ch (t) takes a value between 0 and P max , that is, charging can be performed, while the discharging power P dc (t) is constrained to be 0; on the contrary, when x(t) When equal to 0, the discharge power P dc (t) takes a value between 0 and P max , and the charging power P ch (t) is constrained to be zero.
(3)储能荷电状态约束:(3) Energy storage state of charge constraints:
该约束描述了储能相邻时刻储电量与充电和放电功率之间的关系。即:E(t)表示t时刻储能的储电量,为优化变量;E(t-1)表示t-1时刻储能的储电量,为优化变量;η表示储能的充放电效率。This constraint describes the relationship between energy storage and charging and discharging power at adjacent times of energy storage. That is: E(t) represents the energy storage of energy storage at time t, which is an optimization variable; E(t-1) represents the energy storage of energy storage at time t-1, which is an optimization variable; η represents the charging and discharging efficiency of energy storage.
(4)储能时长约束:(4) Constraints on the duration of energy storage:
nPmax≤Emax nP max ≤E max
该约束表示储能的时长要大于给定的最小储能时长,n表示储能的最小时长。This constraint indicates that the duration of energy storage is greater than the given minimum duration of energy storage, and n represents the minimum duration of energy storage.
(5)弃电消纳量约束:(5) Constraints on the consumption of waste electricity:
该约束表示储能全年的储电量应大于新能源弃电量消纳的最低比例。This constraint means that the annual storage capacity of energy storage should be greater than the minimum proportion of new energy waste power consumption.
由于储能的充放电状态已提前确定,因此上述的储能发电装机和容量优化模型为线性规划模型,并且不包含整数变量。Since the charging and discharging state of energy storage has been determined in advance, the above-mentioned energy storage power generation installed capacity and capacity optimization model is a linear programming model and does not contain integer variables.
调用数学规划求解器,求解储能发电装机和容量优化模型,获取储能的最优发电装机和容量。Call the mathematical programming solver to solve the energy storage power generation installed capacity and capacity optimization model, and obtain the optimal power generation installed capacity and capacity of the energy storage.
本领域内的技术人员应明白,本发明的实施例可提供为方法、系统、或计算机程序产品。因此,本发明可采用完全硬件实施例、完全软件实施例、或结合软件和硬件方面的实施例的形式。而且,本发明可采用在一个或多个其中包含有计算机可用程序代码的计算机可用存储介质(包括但不限于磁盘存储器、CD-ROM、光学存储器等)上实施的计算机程序产品的形式。As will be appreciated by one skilled in the art, embodiments of the present invention may be provided as a method, system, or computer program product. Accordingly, the present invention may take the form of an entirely hardware embodiment, an entirely software embodiment, or an embodiment combining software and hardware aspects. Furthermore, the present invention may take the form of a computer program product embodied on one or more computer-usable storage media (including, but not limited to, disk storage, CD-ROM, optical storage, etc.) having computer-usable program code embodied therein.
本发明是参照根据本发明实施例的方法、设备(系统)、和计算机程序产品的流程图和/或方框图来描述的。应理解可由计算机程序指令实现流程图和/或方框图中的每一流程和/或方框、以及流程图和/或方框图中的流程和/或方框的结合。可提供这些计算机程序指令到通用计算机、专用计算机、嵌入式处理机或其他可编程数据处理设备的处理器以产生一个机器,使得通过计算机或其他可编程数据处理设备的处理器执行的指令产生用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的装置。The present invention is described with reference to flowchart illustrations and/or block diagrams of methods, apparatus (systems), and computer program products according to embodiments of the invention. It will be understood that each process and/or block in the flowchart illustrations and/or block diagrams, and combinations of processes and/or blocks in the flowchart illustrations and/or block diagrams, can be implemented by computer program instructions. These computer program instructions may be provided to the processor of a general purpose computer, special purpose computer, embedded processor or other programmable data processing device to produce a machine such that the instructions executed by the processor of the computer or other programmable data processing device produce Means for implementing the functions specified in a flow or flow of a flowchart and/or a block or blocks of a block diagram.
这些计算机程序指令也可存储在能引导计算机或其他可编程数据处理设备以特定方式工作的计算机可读存储器中,使得存储在该计算机可读存储器中的指令产生包括指令装置的制造品,该指令装置实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能。These computer program instructions may also be stored in a computer-readable memory capable of directing a computer or other programmable data processing apparatus to function in a particular manner, such that the instructions stored in the computer-readable memory result in an article of manufacture comprising instruction means, the instructions The apparatus implements the functions specified in the flow or flow of the flowcharts and/or the block or blocks of the block diagrams.
这些计算机程序指令也可装载到计算机或其他可编程数据处理设备上,使得在计算机或其他可编程设备上执行一系列操作步骤以产生计算机实现的处理,从而在计算机或其他可编程设备上执行的指令提供用于实现在流程图一个流程或多个流程和/或方框图一个方框或多个方框中指定的功能的步骤。These computer program instructions can also be loaded on a computer or other programmable data processing device to cause a series of operational steps to be performed on the computer or other programmable device to produce a computer-implemented process such that The instructions provide steps for implementing the functions specified in the flow or blocks of the flowcharts and/or the block or blocks of the block diagrams.
以上仅为本发明的实施例而已,并不用于限制本发明,凡在本发明的精神和原则之内,所做的任何修改、等同替换、改进等,均包含在发明待批的本发明的权利要求范围之内。The above are only embodiments of the present invention, and are not intended to limit the present invention. Any modifications, equivalent replacements, improvements, etc. made within the spirit and principles of the present invention are included in the invention pending approval. within the scope of the claims.
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