CN111626587B - A comprehensive energy system topology optimization method considering energy flow delay characteristics - Google Patents
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Abstract
本发明涉及一种计及能流延迟特性的综合能源系统拓扑优化方法,本优化方法包括如下步骤:步骤S1,建立包括蒸汽、热水输送网络,冷冻水、冷空气输送网络以及压缩空气输运网络在内的综合能源系统网络机理模型;步骤S2,计算各能流输运网络末端工质温度、流量等关键参数随源端波动的响应特性;步骤S3,建立多种能流最低综合延迟的目标函数,其中,各能流延迟的权重系数由模糊层次分析法获得;步骤S4:构建供需工况组合集,设定多种能流供需匹配约束与综合能源系统网络节点空间分布约束;步骤S5,采用粒子群优化算法求解上述步骤的目标函数与约束条件构成的优化问题,得到综合能源系统最优拓扑规划方案。
The invention relates to a comprehensive energy system topology optimization method that takes into account the energy flow delay characteristics. The optimization method includes the following steps: Step S1, establishing a transportation network including steam, hot water, chilled water, cold air and compressed air transportation. The network mechanism model of the integrated energy system including the network; Step S2, calculate the response characteristics of key parameters such as temperature and flow rate of the working fluid at the end of each energy flow transport network with the fluctuation of the source end; Step S3, establish the lowest comprehensive delay of various energy flows. Objective function, wherein the weight coefficient of each energy flow delay is obtained by the fuzzy analytic hierarchy process; Step S4: construct a combination set of supply and demand conditions, set a variety of energy flow supply and demand matching constraints and comprehensive energy system network node spatial distribution constraints; Step S5 , using the particle swarm optimization algorithm to solve the optimization problem composed of the objective function and the constraints of the above steps, and obtain the optimal topology planning scheme of the integrated energy system.
Description
技术领域technical field
本发明涉及综合能源系统优化方法,属于综合能源系统领域,具体涵盖一种计及能流延迟特性的综合能源系统拓扑优化方法。The invention relates to a comprehensive energy system optimization method, belongs to the field of comprehensive energy systems, and specifically covers a comprehensive energy system topology optimization method that takes into account energy flow delay characteristics.
技术背景technical background
当前,我国能源消费不断增长,2017年一次能源生产总量已达35.85亿吨标准煤。如何从区域能源的角度出发,解决区域内多元化用能需求问题、解决区域能源效率提升问题、促进区域能源可持续发展,是能源领域的研究焦点。在能源转型的政策引导和信息物理融合的技术驱动下,针对上述问题的综合能源系统概念随即产生。综合能源系统是指一定区域内利用先进的物理信息技术和创新管理模式,整合区域内电能、热能、冷能、压缩空气等多种能源,实现各能源子系统之间的协调规划、协同管理、交互响应和互补互济的新型一体化能源系统。At present, my country's energy consumption continues to grow, and the total primary energy production in 2017 reached 3.585 billion tons of standard coal. From the perspective of regional energy, how to solve the problem of diversified energy demand in the region, solve the problem of improving regional energy efficiency, and promote the sustainable development of regional energy is the focus of research in the energy field. Driven by the policy guidance of energy transition and the technological drive of cyber-physical integration, the concept of comprehensive energy system for the above problems was born. Integrated energy system refers to the use of advanced physical information technology and innovative management models in a certain area to integrate various energy sources such as electric energy, heat energy, cold energy, compressed air, etc. in a certain area to achieve coordinated planning, collaborative management, and A new integrated energy system that responds and complements each other.
现有对综合能源系统的研究聚焦于系统优化规划和优化调度策略方向。而随着城镇化进程的不断深入,城市空间布局、能源结构不断重构,新型综合能源系统的规划得到越来越多学者的关注。但综合能源系统规划评价手段较为单一,以经济性和排放特性为主导,而鲜有方法考虑不同能流的延迟特性。以蒸汽能流为例:蒸汽管网工质流动过程在蒸汽参数波动、可压缩性、状态变化、摩擦和传热等多种因素的作用下,其复杂瞬变特性导致源端和用户端蒸汽温度与流量的响应速度缓慢。Existing research on integrated energy systems focuses on the direction of system optimization planning and optimal dispatching strategies. With the continuous deepening of the urbanization process, the urban spatial layout and energy structure are constantly being reconstructed, and the planning of a new comprehensive energy system has attracted more and more scholars' attention. However, the evaluation methods of integrated energy system planning are relatively simple, dominated by economic and emission characteristics, and few methods consider the delay characteristics of different energy flows. Taking steam energy flow as an example: under the action of various factors such as steam parameter fluctuation, compressibility, state change, friction and heat transfer, the complex transient characteristics of the working fluid flow in the steam pipe network cause the steam at the source and user ends. Temperature and flow response is slow.
考虑到冷、热、压缩空气等多种能流的不同延迟响应特性,如何从机理角度出发,建立综合能源系统各能流的模型,并基于该模型建立综合能源系统节点网络拓扑优化方法是实现区域资源禀赋高效利用的关键技术问题。Considering the different delay response characteristics of various energy flows such as cold, heat, compressed air, etc., how to establish a model of each energy flow in an integrated energy system from the perspective of mechanism, and establish a node network topology optimization method for an integrated energy system based on the model is to achieve. Key technical issues for efficient utilization of regional resource endowments.
发明内容SUMMARY OF THE INVENTION
本发明的目的是提供一种计及能流延迟特性的综合能源系统拓扑优化方法,以基于机理的综合能源系统模型和基于粒子群算法的优化手段,对综合能源系统内源侧和用户侧组成的节点拓扑网络规划方案进行寻优,以较低的人工成本获得满足最低延迟要求的综合能源系统规划策略。The purpose of the present invention is to provide a comprehensive energy system topology optimization method that takes into account the energy flow delay characteristics, and uses the mechanism-based comprehensive energy system model and the optimization method based on the particle swarm algorithm to form the internal source side and the user side of the comprehensive energy system. The node topology network planning scheme is optimized, and a comprehensive energy system planning strategy that meets the minimum delay requirement is obtained at a lower labor cost.
为解决技术问题,本发明采用以下技术方案实现:In order to solve the technical problem, the present invention adopts the following technical solutions to realize:
一种计及能流延迟特性的综合能源系统拓扑优化方法,包括如下步骤:A comprehensive energy system topology optimization method considering energy flow delay characteristics, comprising the following steps:
步骤S1,建立包括蒸汽、热水输送网络,冷冻水、冷空气输送网络以及压缩空气输运网络在内的综合能源系统网络机理模型。不同能流传输模型构建方法有一定差异,冷空气及压缩空气输运网络仅需建立水力模型,而蒸汽、热水、冷冻水输送网络除水力模型外,还需建立热力模型。以下分步骤介绍通用性水力模型和热力模型的构建:Step S1, establishing a network mechanism model of a comprehensive energy system including a steam, hot water transportation network, a chilled water, cold air transportation network and a compressed air transportation network. There are certain differences in the construction methods of different energy flow transmission models. Cold air and compressed air transportation networks only need to establish hydraulic models, while steam, hot water, and chilled water transportation networks need to establish thermal models in addition to hydraulic models. The following steps describe the construction of general hydraulic and thermal models:
步骤S110,水力模型要求工质在综合能源网络中流动应满足网络基本定理:各管道的流量在各节点处应满足流量连续性方程,即节点处流入流量等于流出流量。在一个输运闭合回路中,工质在各管道中流动的压头损失之和为0,即Step S110, the hydraulic model requires that the flow of the working fluid in the integrated energy network should satisfy the fundamental theorem of the network: the flow of each pipeline should satisfy the flow continuity equation at each node, that is, the inflow flow at the node is equal to the outflow flow. In a closed transport loop, the sum of the head losses of the working fluid flowing in each pipeline is 0, that is,
式中,As为综合能源系统网络的节点-支路关联矩阵;mt为各管道流量;mq,t为各节点流出流量;Bh为综合能源系统网络的回路-支路关联矩阵;hf,t为压头损失向量,其计算方法为In the formula, A s is the node-branch correlation matrix of the integrated energy system network; m t is the flow of each pipeline; m q,t is the outflow flow of each node; B h is the loop-branch correlation matrix of the integrated energy system network; h f,t is the head loss vector, and its calculation method is
hf,t=Kmt|mt| (2)h f,t = Km t |m t | (2)
式中,K为管道的阻力系数矩阵。In the formula, K is the resistance coefficient matrix of the pipeline.
步骤S120,热力模型可由以下三式表示:即式(3)节点热功率φt表达式、式(4)管道末端温度Tend,t和始端温度Tstart,t关系式,以及式(5)工质在节点处混合前后的温度关系表达式。In step S120, the thermal model can be represented by the following three equations: that is, equation (3) the expression of node thermal power φ t , equation (4) the relationship between the pipe end temperature T end, t and the starting end temperature T start, t , and the equation (5) The temperature relationship expression of the working fluid before and after mixing at the node.
φt=Cpmq,t(Ts,t-To,t) (3)φ t =C p m q,t (T s,t -T o,t ) (3)
(∑mout,t)Tout,t=∑min,tTin,t (5)(∑m out,t )T out,t =∑m in,t T in,t (5)
式中,供热温度Ts,t表示工质注入负荷节点前的温度;输出温度To,t表示工质流出负荷节点时的温度;Cp为工质比热容;mq,t为节点处工质质量流量;ma,t为管道内工质平均质量流量;Ta,t为环境温度;λ为管道的热传导系数;L为管道长度;mout,t、Tout,t和min,t、Tin,t分别为流出和流入管道中工质的质量流量和温度。In the formula, the heating temperature T s,t is the temperature before the working medium is injected into the load node; the output temperature T o,t is the temperature when the working medium flows out of the load node; C p is the specific heat capacity of the working medium; m q,t is the temperature at the node Mass flow of working medium; m a,t is the average mass flow of working medium in the pipeline; T a, t is the ambient temperature; λ is the thermal conductivity of the pipeline; L is the length of the pipeline; m out,t , T out,t and min in , t and T in, t are the mass flow and temperature of the working medium flowing out and flowing into the pipeline, respectively.
步骤S2,计算各能流输运网络末端工质温度和流量关键参数随源端波动的响应特性,具体流程如下:Step S2, calculating the response characteristics of the key parameters of the temperature and flow rate of the working medium at the end of each energy flow transport network with the fluctuation of the source end. The specific process is as follows:
步骤S210,针对蒸汽、热水和冷冻水的输送网络,因其均包括流量、温度响应延迟,故采用如下步骤:In step S210, for the transmission network of steam, hot water and chilled water, since all of them include delays in flow and temperature response, the following steps are adopted:
步骤S211,将源侧与用户侧处的工质温度、流量参数输入综合能源系统网络机理模型,并对能流传输网络的保温层、管道厚度等影响因素作相应的转换,从而获得综合能源系统网络内各处的温度、压力和流量分布。Step S211, input the temperature and flow parameters of the working fluid at the source side and the user side into the network mechanism model of the integrated energy system, and perform corresponding transformations on the influence factors such as the thermal insulation layer and the thickness of the pipeline of the energy flow transmission network, so as to obtain the integrated energy system. Temperature, pressure and flow distribution throughout the network.
步骤S212,保持源侧工质参数不变,令能流网络中工质的质量流量阶跃式增大,待工质参数接近稳定(波动幅度不超过5%)后,又以阶跃的方式减小到原来流量水平,计算用户侧工质完成响应的时间,从而获得该工况下的流量响应特性。Step S212, keeping the source-side working medium parameters unchanged, so that the mass flow rate of the working medium in the energy flow network is increased in a stepwise manner. Reduce to the original flow level, calculate the time for the user side working medium to complete the response, so as to obtain the flow response characteristics under this working condition.
步骤S213,保持源侧工质压力与流量不变,令源侧工质温度阶跃式增大,待工质参数接近稳定(波动幅度不超过5%)后,又以阶跃的方式减小到原来供温水平,计算用户侧工质完成响应的时间,从而获得该工况下的温度响应特性。Step S213, keeping the pressure and flow rate of the source side working medium unchanged, so that the source side working medium temperature is increased in a stepwise manner. To the original temperature supply level, calculate the time for the user-side working fluid to complete the response, so as to obtain the temperature response characteristics under this working condition.
步骤S220,针对冷空气及压缩空气输送网络,因其仅有流量响应延迟,故采用如下步骤:In step S220, for the cold air and compressed air transportation network, since there is only a delay in the flow response, the following steps are adopted:
步骤S221,在综合能源系统网络机理模型中输入所需要计算的工况下源侧与用户侧的工质流量,获得能源网络各处压力和流量分布。Step S221 , input the working fluid flow between the source side and the user side under the required calculation conditions in the network mechanism model of the integrated energy system, and obtain the pressure and flow distributions of various parts of the energy network.
步骤S222,在源侧其它参数不变的条件下,令源侧工质流量阶跃式增大,待工质参数接近稳定(波动幅度不超过5%)后,又以阶跃的方式减小到原来水平,计算用户侧工质完成响应的时间。Step S222, under the condition that other parameters on the source side remain unchanged, the flow rate of the source side working medium is increased in a stepwise manner, and after the working medium parameter is close to stable (the fluctuation amplitude does not exceed 5%), it is reduced in a stepwise manner To the original level, calculate the time for the working fluid on the user side to complete the response.
步骤S3,建立多种能流最低综合延迟的目标函数,其中,各能流延迟的权重系数由模糊层次分析法获得。具体流程包括:Step S3, establishing a variety of objective functions of the lowest comprehensive delay of the power flow, wherein the weight coefficient of each power flow delay is obtained by the fuzzy analytic hierarchy process. The specific process includes:
步骤S310,将综合能源系统拓扑网络各节点用户各能流的标准化延迟响应时间之和作为目标函数:In step S310, the sum of the normalized delay response times of each energy flow of each node user of the integrated energy system topology network is used as the objective function:
式中,L、M、N分别表示用户节点数量、能流类别和响应种类;Dijk为第i个用户第j种能流的第k种响应的完成时间;Djkmax、Djkmin分别为所有用户中第j种能流的第k种响应的最大和最小完成时间;wj为不同能流延迟响应所占目标函数的权重,该权重的确定方法包括如下步骤:In the formula, L, M, and N represent the number of user nodes, energy flow category and response type, respectively; D ijk is the completion time of the k-th response of the j-th energy flow of the i-th user; D jkmax and D jkmin are all The maximum and minimum completion time of the kth response of the jth energy flow in the user; w j is the weight of the objective function occupied by the response of different energy flow delays, and the method for determining the weight includes the following steps:
步骤S311,对各能流的重要性进行两两比较,构建模糊互补判断矩阵A:Step S311, compare the importance of each energy flow pairwise, and construct a fuzzy complementary judgment matrix A:
0≤apq≤1,apq+aqp=1;apq为p能流相对于q能流的重要性,aqp为q能流相对于p能流的重要性,二者取值均精确到十分位。 0≤a pq ≤1, a pq +a qp =1; a pq is the importance of p energy flow relative to q energy flow, a qp is the importance of q energy flow relative to p energy flow, both values are Accurate to tenths.
步骤S312,判断模糊互补判断矩阵A是否具有互补一致性,即对矩阵A中的元素若有:Step S312, determine whether the fuzzy complementary judgment matrix A has complementary consistency, that is, the elements in the matrix A are If any:
aprarqaqp=apqaqrarp (8)a pr a rq a qp = a pq a qr a rp (8)
则矩阵A具有互补一致性。若模糊互补判断矩阵A不满足一致性,但有:Then matrix A has complementary consistency. If the fuzzy complementary judgment matrix A does not satisfy the consistency, but has:
则称A具有满意一致性,其中spq为判断矩阵的容许偏差。Then A is said to have satisfactory consistency, where spq is the allowable deviation of the judgment matrix.
步骤S313,为了寻找满足容许偏差的判断矩阵元素的最小偏差,假设判断矩阵元素的误差为s’pq,那么其组成的矩阵E称为判断矩阵A的误差矩阵。Step S313 , in order to find the minimum deviation of the judgment matrix elements that satisfies the allowable deviation, assuming that the error of the judgment matrix elements is s' pq , the matrix E composed of them is called the error matrix of the judgment matrix A.
式中,s’pq可以视为均值为0的随机变量;wp、wq为不同能流延迟响应所占目标函数的权重。In the formula, s' pq can be regarded as a random variable with a mean value of 0; w p and w q are the weights of the objective function occupied by different energy flow delay responses.
定义误差最优目标函数:Define the error optimal objective function:
s.t.wp>0,且p,q=1,2,...,Y。stw p > 0, and p,q=1,2,...,Y.
求解式(11)的优化问题获得权重w,再根据式(7)反推具有互补一致性的判断矩阵A*。通过对矩阵A和A*的元素差异进行统计假设检验的方法来进行一致性检验。Solve the optimization problem of Equation (11) to obtain the weight w, and then inversely deduce the judgment matrix A * with complementary consistency according to Equation (7). Consistency tests are performed by means of statistical hypothesis testing of the element-wise differences of matrices A and A * .
步骤S4,构建供需工况组合集,设定多种能流供需匹配约束与综合能源系统网络节点空间分布约束。具体流程包括:In step S4, a combination set of supply and demand conditions is constructed, and a variety of energy flow supply and demand matching constraints and spatial distribution constraints of integrated energy system network nodes are set. The specific process includes:
步骤S410,获取综合能源供应商数据库中年度运行数据,构建供需工况组合集,假设优化周期内有S个能流供需工况,每个工况包含T个时刻的能流供需数据,即可通过S×T阶矩阵表示周期内能流供应过程的全部数据。采用k-means聚类算法,以日为单位作为聚类基本单元,对周期内各能流供需历史数据进行聚类划分,进而得到一组全年典型供需工况集。Step S410, obtain the annual operation data in the comprehensive energy supplier database, and construct a combination set of supply and demand conditions. It is assumed that there are S energy flow supply and demand conditions in the optimization period, and each operation condition includes the energy flow supply and demand data at T times. All data of the energy flow supply process in the cycle is represented by an S×T order matrix. Using the k-means clustering algorithm, the unit of day is used as the basic unit of clustering, and the historical data of supply and demand of each energy flow in the cycle is clustered and divided, and then a set of typical supply and demand conditions for the whole year is obtained.
步骤S420,建立多种能流供需匹配约束,该约束即为:将全年典型供需工况集中的运行数据应用于现有综合能源系统拓扑设计条件下的综合能源系统网络机理模型与多种能流最低综合延迟的目标函数后,判断是否可以得到全网温度、流量及其延迟性的有效解。Step S420, establishing a variety of energy flow supply and demand matching constraints, the constraint is: applying the operation data collected in the annual typical supply and demand conditions to the integrated energy system network mechanism model and the multiple energy system network mechanism model under the existing integrated energy system topology design conditions. After the objective function of the lowest comprehensive delay of the flow is obtained, it is judged whether an effective solution of the temperature, flow and delay of the whole network can be obtained.
步骤S430,建立综合能源系统网络节点空间分布约束,即确定综合能源系统拓扑结构在空间层面的可行域,具体方法为:Step S430, establishing the spatial distribution constraints of the network nodes of the integrated energy system, that is, determining the feasible region of the topology structure of the integrated energy system at the spatial level, and the specific method is as follows:
采用枚举算法确定沿公路建设的各能流输送干线;Use enumeration algorithm to determine each energy flow transmission trunk line constructed along the highway;
选取用户节点与能流输送干线最短距离处建立能流输送支线,从而形成综合能源系统源-荷网络拓扑的可行域。Select the shortest distance between the user node and the energy flow transmission trunk line to establish the energy flow transmission branch line, thus forming the feasible region of the source-load network topology of the integrated energy system.
步骤S5,采用粒子群优化算法求解上述步骤S3的目标函数与步骤S4的约束条件构成的优化问题。求解过程包含以下子步骤:In step S5, the particle swarm optimization algorithm is used to solve the optimization problem formed by the objective function of step S3 and the constraints of step S4. The solution process consists of the following sub-steps:
步骤S510,确定初始规划方案个数,将可行域内连接方案组合成d维粒子,将加速因子,最大迭代次数,粒子最大速度参数初始化。Step S510: Determine the number of initial planning schemes, combine the connection schemes in the feasible domain into d-dimensional particles, and initialize the acceleration factor, the maximum number of iterations, and the maximum particle velocity parameters.
步骤S520,将多种能流拓扑网络连接方案的速度向量和位置信息初始化,使当前方案的位置为每个方案的个体历史全局最优位置。同时计算所有连接规划方案的最优位置;Step S520: Initialize the velocity vectors and position information of various energy flow topology network connection schemes, so that the position of the current scheme is the individual historical global optimal position of each scheme. Calculate the optimal position of all connection planning schemes at the same time;
步骤S530,粒子在搜索空间内飞行。定义适应度函数,将本次全局最优位置与历史全局最优比较,利用更新公式,更新能流拓扑网络调度方案粒子的速度和位置Step S530, the particles fly in the search space. Define the fitness function, compare the current global optimal position with the historical global optimal position, and use the update formula to update the velocity and position of the particles in the energy flow topology network scheduling scheme
vij(t+1)=vij(t)+c1r1(pbestij(t)-xij(t))+c2r2(gbestj(t)-xij(t)) (12)v ij (t+1)=v ij (t)+c 1 r 1 (pbest ij (t)-x ij (t))+c 2 r 2 (gbest j (t)-x ij (t)) ( 12)
xij(t+1)=xij(t)+vij(t+1) (13)x ij (t+1)=x ij (t)+v ij (t+1) (13)
其中,i表示第i个粒子;j表示粒子的第j维;vij(t)表示粒子i在进化到t代时的第j维飞行速度分量;xij(t)表示粒子i在进化到t代时的第j维位置分量;pbestij(t)表示粒子i在进化到t代时的第j维个体最优位置pbesti分量;gbestj(t)表示进化到t代时整个粒子群的最优位置gbest的第j维分量;c1,c2为称学习因子,前者为每个粒子的个体学习因子,后者为每个粒子的社会学习因子;r1,r2为[0,1]内的随机数。Among them, i represents the ith particle; j represents the jth dimension of the particle; v ij (t) represents the jth dimension flight velocity component of particle i when it evolves to the t generation; x ij (t) represents the particle i evolves to the t generation. The jth dimension position component in t generation; pbest ij (t) represents the jth dimension individual optimal position pbest i component of particle i when it evolves to t generation; gbest j (t) represents the entire particle swarm when it evolves to t generation The j-th dimension component of the optimal position gbest; c 1 , c 2 are called learning factors, the former is the individual learning factor of each particle, the latter is the social learning factor of each particle; r 1 , r 2 are [0 ,1] is a random number.
步骤S540,计算各连接方案的位置的目标函数值,利用更新公式更新各连接方案的个体历史最优位置与所有调度方案的最优位置。In step S540, the objective function value of the position of each connection scheme is calculated, and the individual historical optimal position of each connection scheme and the optimal position of all scheduling schemes are updated by using the update formula.
步骤S550,当达到设定最大迭代次数时,计算停止,输出结果。否则返回步骤S530继续搜索。Step S550, when the set maximum number of iterations is reached, the calculation is stopped and the result is output. Otherwise, return to step S530 to continue searching.
根据本发明方法还可得到一种计及能流延迟特性的综合能源系统的拓扑优化系统,该系统包括综合能源系统机理模型计算模块;多种能流综合最低延迟时间计算模块;以系统最低延迟为目标的综合能源系统拓扑优化规划模块;According to the method of the present invention, a topology optimization system for an integrated energy system that takes into account the energy flow delay characteristics can also be obtained. The system includes a comprehensive energy system mechanism model calculation module; multiple energy flow integrated minimum delay time calculation modules; Topology optimization planning module for the target integrated energy system;
所述的综合能源系统机理模型计算模块为多种能流综合最低延迟时间计算模块提供计算模型支撑,所述的多种能流综合最低延迟时间计算模块为以系统最低延迟为目标的综合能源系统拓扑优化规划模块提供延迟数据支撑。The integrated energy system mechanism model calculation module provides calculation model support for the multiple energy flow integrated minimum delay time calculation module, and the multiple energy flow integrated minimum delay time calculation module is an integrated energy system aiming at the lowest delay of the system. The topology optimization planning module provides delay data support.
与现有技术相比,本发明的有益效果在于:Compared with the prior art, the beneficial effects of the present invention are:
本发明创新性地考虑不同能流的不同延迟特性,建立了综合能源系统网络机理模型与延迟性计算方法。此外,本发明考虑了权重法的工程易用性,采用了定性与定量相结合的模糊层次分析法确定了各能流延迟性权重系数。本发明提出依托综合能源系统网络机理模型和延迟性计算模型的综合能源系统拓扑规划寻优方法,该方法以综合能源系统拓扑网络最低延迟为目标函数,从系统最低延迟的角度解决综合能源系统规划问题。The invention innovatively considers different delay characteristics of different energy flows, and establishes a network mechanism model and a delay calculation method of an integrated energy system. In addition, the present invention takes the engineering ease of use of the weighting method into consideration, and adopts the fuzzy analytic hierarchy process combining qualitative and quantitative methods to determine the weight coefficients of each energy flow delay. The invention proposes a method for optimizing the topology planning of the integrated energy system based on the network mechanism model of the integrated energy system and the delay calculation model. question.
附图说明Description of drawings
图1,粒子群优化算法求解步骤图;Figure 1, the solution steps of particle swarm optimization algorithm;
图2,本发明方法的主要实施步骤。Figure 2, the main implementation steps of the method of the present invention.
具体实施方式Detailed ways
现在结合附图对本发明作进一步详细的说明。The present invention will now be described in further detail with reference to the accompanying drawings.
如图2为本发明方法的主要实施步骤。Figure 2 is the main implementation steps of the method of the present invention.
一种计及能流延迟特性的综合能源系统拓扑优化方法,包括如下步骤:A comprehensive energy system topology optimization method considering energy flow delay characteristics, comprising the following steps:
步骤(1):建立的综合能源系统输运网络机理模型;Step (1): the established comprehensive energy system transportation network mechanism model;
步骤(2):计算各能流输运网络末端工质温度和流量关键参数随源端波动的响应特性;Step (2): Calculate the response characteristics of the key parameters of the temperature and flow rate of the working fluid at the end of each energy flow transport network fluctuating with the source end;
步骤(3):建立基于模糊层次分析法的多种能流最低综合延迟的目标函数;Step (3): establish the objective function of the lowest comprehensive delay of various energy flows based on the fuzzy analytic hierarchy process;
步骤(4):构建供需工况组合集,设定多种能流供需匹配约束与综合能源系统网络节点空间分布约束;Step (4): construct a combination set of supply and demand conditions, set a variety of energy flow supply and demand matching constraints and comprehensive energy system network node spatial distribution constraints;
步骤(5):采用粒子群优化算法求解延迟性最低的综合能源系统拓扑优化问题(如图1),即可得出综合能源系统最优拓扑规划方案。Step (5): Use the particle swarm optimization algorithm to solve the topology optimization problem of the integrated energy system with the lowest delay (as shown in Figure 1), and then the optimal topology planning scheme of the integrated energy system can be obtained.
本发明中,所述步骤(1)是通过下述方式实现的:In the present invention, described step (1) is realized in the following way:
a.建立包括蒸汽、热水输送网络,冷冻水、冷空气输送网络以及压缩空气输运网络在内的综合能源系统网络机理模型。冷空气及压缩空气输运网络仅需建立水力模型,而蒸汽、热水、冷冻水输送网络除水力模型外,还需建立热力模型。以下分步骤介绍通用性水力模型和热力模型的构建:a. Establish a comprehensive energy system network mechanism model including steam, hot water transportation network, chilled water, cold air transportation network and compressed air transportation network. The cold air and compressed air transportation network only needs to establish a hydraulic model, while the steam, hot water, and chilled water transportation network needs to establish a thermal model in addition to the hydraulic model. The following steps describe the construction of general hydraulic and thermal models:
b.建立综合能源系统水力模型。水力模型要求工质在综合能源网络中流动应满足网络基本定理:各管道的流量在各节点处应满足流量连续性方程,即节点处流入流量等于流出流量。在一个输运闭合回路中,工质在各管道中流动的压头损失之和为0,即b. Establish a hydraulic model of an integrated energy system. The hydraulic model requires that the flow of working fluid in the comprehensive energy network should satisfy the basic theorem of the network: the flow of each pipeline should satisfy the flow continuity equation at each node, that is, the inflow flow at the node is equal to the outflow flow. In a closed transport loop, the sum of the head losses of the working fluid flowing in each pipeline is 0, that is,
式中,As为综合能源系统网络的节点-支路关联矩阵;mt为各管道流量;mq,t为各节点流出流量;Bh为综合能源系统网络的回路-支路关联矩阵;hf,t为压头损失向量,其计算方法为In the formula, A s is the node-branch correlation matrix of the integrated energy system network; m t is the flow of each pipeline; m q,t is the outflow flow of each node; B h is the loop-branch correlation matrix of the integrated energy system network; h f,t is the head loss vector, and its calculation method is
hf,t=Kmt|mt| (2)h f,t = Km t |m t | (2)
式中,K为管道的阻力系数矩阵。In the formula, K is the resistance coefficient matrix of the pipeline.
c.建立综合能源系统热力模型。热力模型可由以下三式表示:即式(3)节点热功率φt表达式、式(4)管道末端温度Tend,t和始端温度Tstart,t关系式,以及式(5)工质在节点处混合前后的温度关系表达式。c. Establish a comprehensive energy system thermal model. The thermal model can be represented by the following three equations: namely, equation (3) the expression of thermal power φ t at the node, equation (4) the relationship between the pipe end temperature T end, t and the starting temperature T start, t , and the equation (5) the working fluid in An expression of the temperature relationship before and after mixing at the node.
φt=Cpmq,t(Ts,t-To,t) (3)φ t =C p m q,t (T s,t -T o,t ) (3)
(∑mout,t)Tout,t=∑min,tTin,t (5)(∑m out,t )T out,t =∑m in,t T in,t (5)
式中,供热温度Ts,t表示工质注入负荷节点前的温度;输出温度To,t表示工质流出负荷节点时的温度;Cp为工质比热容;mq,t为节点处工质质量流量;ma,t为管道内工质平均质量流量;Ta,t为环境温度;λ为管道的热传导系数;L为管道长度;mout,t、Tout,t和min,t、Tin,t分别为流出和流入管道中工质的质量流量和温度。In the formula, the heating temperature T s,t is the temperature before the working medium is injected into the load node; the output temperature T o,t is the temperature when the working medium flows out of the load node; C p is the specific heat capacity of the working medium; m q,t is the temperature at the node Mass flow of working medium; m a,t is the average mass flow of working medium in the pipeline; T a, t is the ambient temperature; λ is the thermal conductivity of the pipeline; L is the length of the pipeline; m out,t , T out,t and min in , t and T in, t are the mass flow and temperature of the working medium flowing out and flowing into the pipeline, respectively.
本发明中,所述步骤(2)是通过下述方式实现的:In the present invention, described step (2) is realized in the following way:
a.针对蒸汽、热水和冷冻水的输送网络,因其均包括流量、温度响应延迟,故采用如下步骤:a. For the transmission network of steam, hot water and chilled water, because all of them include flow and temperature response delay, the following steps are adopted:
将源侧与用户侧处的工质温度和流量参数输入综合能源系统网络机理模型,并对能流传输网络的保温层、管道厚度影响因素作相应的转换,从而获得综合能源系统网络内各处的温度、压力和流量分布。Input the temperature and flow parameters of the working fluid at the source side and the user side into the network mechanism model of the integrated energy system, and convert the influence factors of the thermal insulation layer and the thickness of the pipeline in the energy flow transmission network accordingly, so as to obtain the various parts of the integrated energy system network. temperature, pressure and flow distribution.
保持源侧工质参数不变,令能流网络中工质的质量流量阶跃式增大,待工质参数波动幅度不超过5%后,又以阶跃的方式减小到原来流量水平,计算用户侧工质完成响应的时间,从而获得该工况下的流量响应特性。Keep the source-side working medium parameters unchanged, so that the mass flow rate of the working medium in the energy flow network increases in steps. Calculate the time for the working fluid on the user side to complete the response, so as to obtain the flow response characteristics under this working condition.
保持源侧工质压力与流量不变,令源侧工质温度阶跃式增大,待工质参数波动幅度不超过5%后,又以阶跃的方式减小到原来供温水平,计算用户侧工质完成响应的时间,从而获得该工况下的温度响应特性。Keep the source-side working fluid pressure and flow unchanged, so that the source-side working fluid temperature increases in a stepwise manner. After the fluctuation range of the working fluid parameters does not exceed 5%, it is reduced to the original supply temperature level in a stepwise manner. Calculate The time for the working fluid on the user side to complete the response, so as to obtain the temperature response characteristics under this working condition.
b.针对冷空气及压缩空气输送网络,因其仅有流量响应延迟,故采用如下步骤:b. For the cold air and compressed air delivery network, because there is only a delay in the flow response, the following steps are adopted:
在综合能源系统网络机理模型中输入所需要计算的工况下源侧与用户侧的工质流量,获得能源网络各处压力和流量分布。Input the working fluid flow between the source side and the user side under the required calculation conditions in the network mechanism model of the integrated energy system, and obtain the pressure and flow distribution of the energy network.
在源侧其它参数不变的条件下,令源侧工质流量阶跃式增大,待工质参数波动幅度不超过5%后,又以阶跃的方式减小到原来水平,计算用户侧工质完成响应的时间。Under the condition that other parameters on the source side remain unchanged, the flow rate of the source side working medium is increased in a stepwise manner. After the fluctuation range of the working medium parameter does not exceed 5%, it is reduced to the original level in a stepwise manner. Calculate the user side The time for the working fluid to complete the response.
本发明中,所述步骤(3)是通过下述方式实现的:In the present invention, described step (3) is realized in the following way:
a.将综合能源系统拓扑网络各节点用户各能流的标准化延迟响应时间之和作为目标函数:a. Take the sum of the normalized delay response time of each energy flow of each node user of the integrated energy system topology network as the objective function:
式中,L、M、N分别表示用户节点数量、能流类别和响应种类;Dijk为第i个用户第j种能流的第k种响应的完成时间;Djkmax、Djkmin分别为所有用户中第j种能流的第k种响应的最大和最小完成时间;wj为不同能流延迟响应所占目标函数的权重,该权重的确定方法包括如下步骤:In the formula, L, M, and N represent the number of user nodes, energy flow category and response type, respectively; D ijk is the completion time of the k-th response of the j-th energy flow of the i-th user; D jkmax and D jkmin are all The maximum and minimum completion time of the kth response of the jth energy flow in the user; w j is the weight of the objective function occupied by the response of different energy flow delays, and the method for determining the weight includes the following steps:
b.对各能流的重要性进行两两比较,构建模糊互补判断矩阵A:b. Compare the importance of each energy flow pairwise, and construct a fuzzy complementary judgment matrix A:
0≤apq≤1,apq+aqp=1;apq为p能流相对于q能流的重要性,aqp为q能流相对于p能流的重要性,二者取值均精确到十分位。 0≤a pq ≤1, a pq +a qp =1; a pq is the importance of p energy flow relative to q energy flow, a qp is the importance of q energy flow relative to p energy flow, both values are Accurate to tenths.
判断模糊互补判断矩阵A是否具有互补一致性,即对矩阵A中的元素若有:Judging whether the fuzzy complementary judgment matrix A has complementary consistency, that is, for the elements in matrix A If any:
aprarqaqp=apqaqrarp (8)a pr a rq a qp = a pq a qr a rp (8)
则矩阵A具有互补一致性。若模糊互补判断矩阵A不满足一致性,但有:Then matrix A has complementary consistency. If the fuzzy complementary judgment matrix A does not satisfy the consistency, but has:
则称A具有满意一致性,其中spq为判断矩阵的容许偏差。Then A is said to have satisfactory consistency, where spq is the allowable deviation of the judgment matrix.
c.为了寻找满足容许偏差的判断矩阵元素的最小偏差,假设判断矩阵元素的误差为s’pq,那么其组成的矩阵E称为判断矩阵A的误差矩阵。c. In order to find the minimum deviation of the elements of the judgment matrix that satisfies the allowable deviation, assuming that the error of the elements of the judgment matrix is s' pq , the matrix E composed of them is called the error matrix of the judgment matrix A.
式中,s’pq可以视为均值为0的随机变量;wp、wq为不同能流延迟响应所占目标函数的权重。In the formula, s' pq can be regarded as a random variable with a mean value of 0; w p and w q are the weights of the objective function occupied by different energy flow delay responses.
定义误差最优目标函数:Define the error optimal objective function:
s.t.wp>0,且p,q=1,2,...,Y。stw p > 0, and p,q=1,2,...,Y.
求解式(11)的优化问题获得权重w,再根据式(7)反推具有互补一致性的判断矩阵A*。通过对矩阵A和A*的元素差异进行统计假设检验的方法来进行一致性检验。Solve the optimization problem of Equation (11) to obtain the weight w, and then inversely deduce the judgment matrix A * with complementary consistency according to Equation (7). Consistency tests are performed by means of statistical hypothesis testing of the element-wise differences of matrices A and A * .
本发明中,所述步骤(4)是通过下述方式实现的:In the present invention, described step (4) is realized in the following way:
a.获取综合能源供应商数据库中年度运行数据,构建供需工况组合集,以蒸汽能流为例,假设优化周期内有S各蒸汽供需工况,每个工况包含T个时刻的蒸汽供需数据,即可通过S×T阶矩阵表示周期内蒸汽供应过程的全部数据。采用k-means聚类算法,以日为单位作为聚类基本单元,对周期内各能流供需历史数据进行聚类划分,进而得到一组全年典型供需工况集。a. Obtain the annual operation data in the comprehensive energy supplier database, and construct a combination set of supply and demand conditions. Taking steam energy flow as an example, it is assumed that there are S steam supply and demand conditions in the optimization period, and each condition includes the steam supply and demand at T times. Data, that is, all data of the steam supply process in the cycle can be represented by an S×T order matrix. Using the k-means clustering algorithm, the unit of day is used as the basic unit of clustering, and the historical data of supply and demand of each energy flow in the cycle is clustered and divided, and then a set of typical supply and demand conditions for the whole year is obtained.
b.建立多种能流供需匹配约束,该约束即为:将全年典型供需工况集中的运行数据应用于现有综合能源系统拓扑设计条件下的综合能源系统网络机理模型与多种能流最低综合延迟的目标函数后,判断是否可以得到全网温度、流量及其延迟性的有效解。b. Establish a variety of energy flow supply and demand matching constraints, which is: applying the operating data collected under typical supply and demand conditions throughout the year to the integrated energy system network mechanism model and multiple energy flows under the existing integrated energy system topology design conditions After the objective function of the lowest comprehensive delay is determined, it is judged whether an effective solution for the temperature, traffic and delay of the whole network can be obtained.
c.建立综合能源系统网络节点空间分布约束,即确定综合能源系统拓扑结构在空间层面的可行域。具体方法为采用枚举算法确定沿公路建设的各能流输送干线,随之选取用户节点与能流输送干线最短距离处建立能流输送支线,从而形成综合能源系统源-荷网络拓扑结构在空间层面的可行域。c. Establish the spatial distribution constraints of the integrated energy system network nodes, that is, determine the feasible region of the integrated energy system topology structure at the spatial level. The specific method is to use the enumeration algorithm to determine each energy flow transmission trunk line constructed along the highway, and then select the shortest distance between the user node and the energy flow transmission trunk line to establish the energy flow transmission branch line, so as to form the source-load network topology structure of the integrated energy system in space. level feasible domain.
本发明中,所述步骤(5)是通过下述方式实现的:In the present invention, described step (5) is realized in the following way:
a.确定初始规划方案个数,将可行域内连接方案组合成d维粒子,将加速因子,最大迭代次数,粒子最大速度参数初始化。a. Determine the number of initial planning schemes, combine the connection schemes in the feasible domain into d-dimensional particles, and initialize the acceleration factor, the maximum number of iterations, and the maximum particle velocity parameters.
b.将多种能流拓扑网络连接方案的速度向量和位置信息初始化,使当前方案的位置为每个方案的个体历史全局最优位置。同时计算所有连接规划方案的最优位置;b. Initialize the velocity vector and position information of various energy flow topology network connection schemes, so that the position of the current scheme is the individual historical global optimal position of each scheme. Calculate the optimal position of all connection planning schemes at the same time;
c.粒子在搜索空间内飞行。定义适应度函数,将本次全局最优位置与历史全局最优比较,利用更新公式,更新能流拓扑网络调度方案粒子的速度和位置c. Particles fly within the search space. Define the fitness function, compare the current global optimal position with the historical global optimal position, and use the update formula to update the velocity and position of the particles in the energy flow topology network scheduling scheme
vij(t+1)=vij(t)+c1r1(pbestij(t)-xij(t))+c2r2(gbestj(t)-xij(t)) (12)v ij (t+1)=v ij (t)+c 1 r 1 (pbest ij (t)-x ij (t))+c 2 r 2 (gbest j (t)-x ij (t)) ( 12)
xij(t+1)=xij(t)+vij(t+1) (13)x ij (t+1)=x ij (t)+v ij (t+1) (13)
其中,i表示第i个粒子;j表示粒子的第j维;vij(t)表示粒子i在进化到t代时的第j维飞行速度分量;xij(t)表示粒子i在进化到t代时的第j维位置分量;pbestij(t)表示粒子i在进化到t代时的第j维个体最优位置pbesti分量;gbestj(t)表示进化到t代时整个粒子群的最优位置gbest的第j维分量;c1,c2为学习因子,前者为每个粒子的个体学习因子,后者为每个粒子的社会学习因子;r1,r2为[0,1]内的随机数。Among them, i represents the ith particle; j represents the jth dimension of the particle; v ij (t) represents the jth dimension flight velocity component of particle i when it evolves to the t generation; x ij (t) represents the particle i evolves to the t generation. The jth dimension position component in t generation; pbest ij (t) represents the jth dimension individual optimal position pbest i component of particle i when it evolves to t generation; gbest j (t) represents the entire particle swarm when it evolves to t generation The jth dimension component of the optimal position gbest; c 1 , c 2 are learning factors, the former is the individual learning factor of each particle, the latter is the social learning factor of each particle; r 1 , r 2 are [0, 1] random number within.
d.计算各连接方案的位置的目标函数值,利用更新公式更新各连接方案的个体历史最优位置与所有调度方案的最优位置。d. Calculate the objective function value of the position of each connection scheme, and use the update formula to update the individual historical optimal position of each connection scheme and the optimal position of all scheduling schemes.
e.当达到设定最大迭代次数时,计算停止,输出结果。否则返回步骤c继续搜索。e. When the set maximum number of iterations is reached, the calculation stops and the result is output. Otherwise, return to step c to continue searching.
基于本发明方法的一种计及能流延迟特性的综合能源系统的拓扑优化系统,该系统包括综合能源系统机理模型计算模块;多种能流综合最低延迟时间计算模块;以系统最低延迟为目标的综合能源系统拓扑优化规划模块;Based on the method of the present invention, a topology optimization system for an integrated energy system that takes into account the energy flow delay characteristics, the system includes a comprehensive energy system mechanism model calculation module; a variety of energy flow integrated minimum delay time calculation modules; The integrated energy system topology optimization planning module;
所述的综合能源系统机理模型计算模块为多种能流综合最低延迟时间计算模块提供计算模型支撑,所述的多种能流综合最低延迟时间计算模块为以系统最低延迟为目标的综合能源系统拓扑优化规划模块提供延迟数据支撑。The integrated energy system mechanism model calculation module provides calculation model support for the multiple energy flow integrated minimum delay time calculation module, and the multiple energy flow integrated minimum delay time calculation module is an integrated energy system aiming at the lowest delay of the system. The topology optimization planning module provides delay data support.
凡在本发明的精神和原则之内,所作的任何修改、等同替换、改进等,均应包含在本发明的保护范围之内。Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present invention shall be included within the protection scope of the present invention.
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