【电力系统】考虑可再生能源消纳的电热综合能源系统日前经济调度模型附Matlab代码
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🔥 内容介绍
一、引言
随着全球对环境保护和可持续能源发展的重视，可再生能源在能源体系中的占比逐渐增加。然而，可再生能源具有间歇性和波动性，给电力系统的稳定运行带来挑战。电热综合能源系统通过整合电力和热力系统，实现能源的协同优化利用，为可再生能源的有效消纳提供了途径。建立考虑可再生能源消纳的电热综合能源系统日前经济调度模型，对于提高能源利用效率、降低运行成本、促进可再生能源的大规模接入具有重要意义。
二、系统组成与运行原理
（一）电力子系统
发电单元：包括传统火力发电机组（如燃煤、燃气机组）、可再生能源发电机组（如风力发电机组、太阳能光伏发电机组）以及储能装置（如电池储能系统）。传统火力发电机组能够提供稳定的电力输出，但会产生一定的环境污染物；可再生能源发电机组依靠自然能源发电，具有清洁、可持续的特点，但受天气等自然因素影响较大；储能装置可以在电力过剩时储存电能，在电力短缺时释放电能，起到调节电力供需平衡的作用。
负荷：电力负荷涵盖工业、商业和居民用电等各类用户。不同类型的负荷在不同时段具有不同的用电特性，例如工业负荷在工作日的白天通常较高，而居民负荷在晚上的用电需求更为集中。
（二）热力子系统
供热单元：主要有燃气锅炉、热电联产机组（CHP）等。燃气锅炉通过燃烧天然气产生热量，为热力系统提供热源；热电联产机组则在发电的同时利用发电过程中的余热进行供热，实现能源的梯级利用，提高能源利用效率。
热负荷：包括工业用热、居民供暖等。热负荷同样具有时段性和季节性特点，例如在冬季，居民供暖需求会大幅增加。
（三）耦合元件
热电联产机组（CHP）：作为电力和热力系统的关键耦合元件，CHP 机组的发电和供热存在一定的耦合关系。通常，CHP 机组的发电功率和供热功率可以通过调节抽汽量等方式进行调整，但两者之间存在一定的限制，以确保机组的安全稳定运行。
电转热装置（P2H）：如电锅炉、热泵等，可将电能转化为热能。当电力系统出现过剩电能且热力系统有供热需求时，P2H 装置能够消耗多余电能并提供热能，促进可再生能源的消纳。
三、日前经济调度模型建立
（一）目标函数
系统运行成本最小化：目标函数旨在最小化电热综合能源系统的日前运行成本，包括传统火力发电机组的燃料成本、可再生能源发电机组的运维成本、储能装置的充放电成本以及燃气锅炉的天然气消耗成本等。
⛳️ 运行结果
📣 部分代码
function out = yalmiptest(prefered_solver,auto)%YALMIPTEST Runs a number of test problems.%% YALMIPTEST is recommended when a new solver or a new version% of YALMIP installed.%% EXAMPLES% YALMIPTEST % Without argument, default solver used% YALMIPTEST('solver tag') % Test with specified solver% YALMIPTEST(options) % Test with specific options structure from%% See also SDPSETTINGSif ~exist('sedumi2pen.m')disp('Add /yalmip/extras etc to your path first...')disp('Read the <a href="https://yalmip.github.io/tutorial/installation/">Installation notes</a>.')returnendif ~exist('callsedumi.m')disp('Still missing paths...Just do an addpath(genpath(''yalmiprootdirectory''));')disp('Read the <a href="https://yalmip.github.io/tutorial/installation/">Installation notes</a>.')returnend% SDPT3 has a function called constraint.m which causes issuesdetected = which('constraint.m');if isa(detected,'cell')if length(detected)>0if isempty(strfind(detected{1},'extras\@constraint'))clcdisp('You seem to have some other toolbox with a function called constraint.m');disp('Delete that toolbox, or delete the function/class, or change path so that YALMIP is on top.');disp(detected{1})endreturnendenddetected = which('yalmip.m','-all');% Will not work in Octave as Octave only reports first item found?if isa(detected,'cell')if length(detected)>1clcdisp('You seem to have multiple installations of YALMIP in your path.')disp('Please correct this...');disp(detected)returnendend% Pagination really doesn't work well with solversmore offif exist('OCTAVE_VERSION', 'builtin')OctaveRunning = 1;elseOctaveRunning = 0;enddonttest = 0;if (nargin==1) && isa(prefered_solver,'char') && strcmp(prefered_solver,'test')donttest = 0;prefered_solver = '';elsedonttest = 1;endif nargin==0prefered_solver = '';elseif ~(isa(prefered_solver,'struct') | isa(prefered_solver,'char'))error('Argument should be a solver tag, or a sdpsettings structure');endif isa(prefered_solver,'char')donttest = 1;endendif ~(exist('callsedumi')==2)clcdisp('The directory yalmip/solvers is not in your path.')disp('These must be in path:')disp(' yalmip/');disp(' yalmip/extras');disp(' yalmip/operators');disp(' yalmip/modules');disp(' yalmip/solvers');disp('See <a href="https://yalmip.github.io/tutorial/installation/">installation guide</a>')returnendfoundstring = {'not found','found','internal'};teststring = {'-failed','+passed'};if ~donttestheader = {'Solver','Version','Status','Unit test'};elseheader = {'Solver','Version','Status'};end[solvers,found] = getavailablesolvers(0);j = 1;status = ones(length(solvers),1);s = {solvers.tag};for i = 1:length(solvers)if solvers(i).showsame = find(strcmpi(solvers(i).tag,s));% Find all instances of same solver different versionsfor k = setdiff(same,i)% No reason to show for all versionssolvers(k).show = 0;enddata{j,1} = upper(solvers(i).tag);found_versions = same(find(found(same)));if ~isempty(found_versions)idx = min(found_versions);version = solvers(idx).version;if ~any(strcmpi(version,{'geometric','standard'}))data{j,2} = [solvers(idx).version ' ' solvers(idx).subversion];endelseidx = i;endstatus(j) = found(idx)+1+solvers(idx).builtin;data{j,3} = foundstring{found(idx)+1+solvers(idx).builtin};j = j+1;endendif isa(prefered_solver,'char')ops = sdpsettings('Solver',prefered_solver);elseops = prefered_solver;endops.saveyalmipmodel = 1;if ~((nargin==2) & (ops.verbose==0))[sortedName,loc] = sort({data{:,1}});loc = [loc(find(status(loc)==3)) loc(find(status(loc)==2)) loc(find(status(loc)==1))];dataSorted = reshape({data{loc,:}},[],3);yalmiptable({'Searching for installed solvers'},header,dataSorted);disp(' ')endif nargin<2disp('Press any key to continue test')pauseendi=1;test{i}.fcn = 'test_core';test{i}.desc = 'Core functionalities';i = i+1;test{i}.fcn = 'test_linear_programming';test{i}.desc = 'Linear programming (LP)';i = i+1;test{i}.fcn = 'test_quadratic_programming';test{i}.desc = 'Quadratic programming (QP)';i = i+1;test{i}.fcn = 'test_socp_programming';test{i}.desc = 'Second-order cone programming (SOCP)';i = i+1;test{i}.fcn = 'test_semidefinite_programming';test{i}.desc = 'Semidefinite programming (SDP)';i = i+1;test{i}.fcn = 'test_geometric_programming';test{i}.desc = 'Geometric programming (GP)';i = i+1;test{i}.fcn = 'test_nonlinear_programming';test{i}.desc = 'Nonlinear programming (NLP)';i = i+1;test{i}.fcn = 'test_nonlinear_semidefinite_programming';test{i}.desc = 'Nonlinear SDP (NLSDP)';i = i+1;test{i}.fcn = 'test_exponential_cone_programming';test{i}.desc = 'Exponential cone programming (ECP)';i = i+1;test{i}.fcn = 'test_milinear_programming';test{i}.desc = 'Mixed-integer LP (MIQP)';i = i+1;test{i}.fcn = 'test_miquadratic_programming';test{i}.desc = 'Mixed-integer QP (MIQP)';i = i+1;test{i}.fcn = 'test_misocp_programming';test{i}.desc = 'Mixed-integer SOCP (MISOCP)';i = i+1;test{i}.fcn = 'test_nonconvex_quadratic_programming';test{i}.desc = 'Global nonconvex quadratic programming';i = i+1;test{i}.fcn = 'test_nonconvex_global_programming';test{i}.desc = 'Global nonconvex programming';i = i+1;pass_strings = {'Error','Passed','Solver not available'};% Run test-problemsfor i = 1:length(test)tryif ops.verbosedisp(' ');disp(['Testing function ' test{i}.fcn]);disp(' ');end% First make call to figure out solverinfo = eval([test{i}.fcn '(ops)']);if ~OctaveRunningsols{i} = addLink(upper(cleanversion(info.yalmipmodel.solver.tag)));elsesols{i} = cleanversion(info.yalmipmodel.solver.tag);endpass(i) = info.problem == 0;if pass(i)results{i}='Success';elseresults{i}='Failed';endcatchpass(i) = 0;results{i} = 'Failed';sols{i} = '';endendclear data;header = {'Test','Status', 'Solver'};for i = 1:length(pass)data{i,1} = test{i}.desc;data{i,2} = results{i};data{i,3} = sols{i};endif ops.verbosedisp(' ');endformats{1}.data.just = 'right';formats{2}.data.just = 'right';formats{3}.data.just = 'right';formats{1}.header.just = 'right';formats{2}.header.just = 'right';formats{3}.header.just = 'right';clcyalmiptable([],header,data,formats)% Test if any LMI solver is installed.x = sdpvar(2);[p,aux1,aux2,m] = export(x>=0,[],[],[],[],0);if ~isempty(m)only_lmilab = strcmpi(m.solver.tag,'lmilab');only_fmincon = strcmpi(m.solver.tag,'fmincon-standard');elseonly_lmilab = 0;only_fmincon = 0;endif isempty(m)disp('You do not have any LMI solver installed')disp(' If you intend to solve LMIs you must install a solver.')elseif only_lmilabdisp('You do not have any good LMI solver installed')disp(' (only found <a href="https://yalmip.github.io/solver/lmilab/">LMILAB which should be avoided in YALMIP</a>).')disp('If you intend to solve LMIs, please install a better solver.')elseif only_fmincondisp('You do not have any LMI solver installed')disp(' (YALMIP will use a nonlinear solver which cannot be expected to work)')disp(' If you intend to solve LMIs you must install a solver.')endendx = binvar(1);[p,aux1,aux2,m] = export(x>=0,x,[],[],[],0);if isempty(m)disp('You do not have any LP/MILP solver installed')disp(' If you intend to solve LPs/MILPs, you have to install one.')elseonly_bnb = strcmpi(m.solver.tag,'bnb');if only_bnbdisp('You do not have any MILP solver installed')disp(' (only found internal <a href="https://yalmip.github.io/solver/bnb/">BNB</a>).')disp(' If you intend to solve MILP, please install a better solver.')endendx = binvar(1);[p,aux1,aux2,m] = export(x>=0,x^2,[],[],[],0);if isempty(m)disp('You do not have any QP/SOCP/MIQP/MISOCP solver installed')disp(' If you intend to solve QP/SOCP/MIQP/MISOCP you must install solver.')elseonly_bnb = strcmpi(m.solver.tag,'bnb');if only_bnbdisp('You do not have any MIQP/MISOCP solver installed (only found internal <a href="https://yalmip.github.io/solver/bnb/">BNB</a>)')disp(' If you intend to solve MIQP/MISOCP, please install a better solver.')endenddisp('See <a href="https://yalmip.github.io/allsolvers">guide on interfaced solvers</a>')function sol = test_core(ops)% Fakesol.yalmipmodel.solver.tag = '';sol.problem = 0;tryx = sdpvar(2,2);x = sdpvar(2,2,'symmetric');x = sdpvar(2,2,'full');x = sdpvar(2,2,'toeplitz');x = sdpvar(2,2,'hankel');x = sdpvar(2,2,'skew');if ~ishermitian(sdpvar(2,2,'hermitian','complex'))error('bug')endif ~issymmetric(sdpvar(2,2,'symmetric','complex'))error('bug')endif ~isreal(real(sdpvar(2,2,'symmetric','complex')))error('bug')endif isreal(sqrt(-1)*real(sdpvar(2,2,'symmetric','complex')))error('bug')endx = sdpvar(2,1,'','co');if ~isreal(x'*x)error('bug')endx = sdpvar(2,2,'','co');if ~isreal(diag(x'*x))error('bug')endx = sdpvar(1,1);y = sdpvar(2,2);x*eye(2);eye(2)*x;y*3;3*y;x = sdpvar(2,3);y = sdpvar(2,3);assign(x,randn(2,3));z = replace(x,x(1,1:2),[8 9]);z = x+y;z = x-y;z = x+1;z = x-1;z = x+ones(2,3);z = x-ones(2,3);z = ones(2,3)-x;z = ones(2,3)-x;z = eye(2)*x;z = x*eye(3);z = diag(x);z = trace(x(1:2,1:2));z = diff(x);z = fliplr(x);z = flipud(x);z = kron(x,eye(3));z = kron(eye(3),x);z = rot90(x);z = sum(x);z = diff(x);z = x';z = x.';z = tril(x);z = triu(x);z = [x y];z = [x;y];sdpvar x ydiag([x y])*[x^-1;y^-1];assert(isequal([x x;x x]*x-[x x;x x].*x,zeros(2)))assert(isequal(trace([x x;x x]*[x y;y x])-(x*x+x*y+y*x+x*x),0))% Regression ??yalmip('clear')sdpvar x(1+x+x^4)*(1-x^2);% Regression complex multiplcationA = randn(10,5)+sqrt(-1)*randn(10,5);b = randn(10,1)+sqrt(-1)*randn(10,1);x = sdpvar(5,1);res = A*x-b;assert(nnz(clean([res res]'*[res res]-res'*res,1e-8))==0)assert(isreal(clean(res'*res,1e-8)))assert(isreal(x*x'))catchsol.problem = 9;sol.info = 'Problems';endfunction sol = test_semidefinite_programming(ops)t = sdpvar(1,1);Y = sdpvar(2,2);F = [Y<=t*eye(2), Y>=[1 0.2;0.2 1]];sol = optimize(F,t,ops);function sol = test_linear_programming(ops)N = 5;A = [2 -1;1 0];B = [1;0];C = [0.5 0.5];[H,S] = create_CHS(A,B,C,N);x = [2;0];t = sdpvar(2*N,1);U = sdpvar(N,1);Y = H*x+S*U;F = (U<=1)+(U>=-1);F = F+(Y(N)>=-1);F = F+(Y(N)<=1);F = F+([Y;U]<=t)+([Y;U]>=-t);sol = optimize(F,sum(t),ops);function sol = test_socp_programming(ops)x = sdpvar(2,1);a = [0;1];b = [1;1];F = norm(x-a)<=1;F = F+[norm(x-b) <= 1];sol = optimize(F,sum(x),ops);function sol = test_misdp_programming(ops)x = intvar(4,1);e = magic(4)*x-1;sdpvar tobj = t;sol = optimize([t e';e eye(4)]>=0,obj,ops);function sol = test_misocp_programming(ops)x = intvar(4,1);obj = norm(magic(4)*x-1,2);sol = optimize([-5 <= x <= 5],obj,ops);function sol = test_miquadratic_programming(ops)x = intvar(4,1);obj = norm(magic(4)*x-1,2)^2;sol = optimize([-5 <= x <= 5],obj,ops);function sol = test_milinear_programming(ops)x = intvar(4,1);obj = norm(magic(4)*x-1,1);sol = optimize([-5 <= x <= 5],obj,ops);function sol = test_quadratic_programming(ops)x = sdpvar(10,1);sol = optimize([sum(x)==2, -1 <= x <= 1],x'*x,ops);function sol = test_nonconvex_quadratic_programming(ops)x = sdpvar(10,1);ops.forceglobal = 1;sol = optimize([sum(x)==2, -1 <= x <= 1],-x'*x,ops);function sol = test_nonconvex_global_programming(ops)x = sdpvar(3,1);ops.forceglobal = 1;sol = optimize([sum(x.^3)==2, -1 <= x <= 1],-x'*x,ops);function sol = test_nonlinear_semidefinite_programming(ops)A = [-1 2;-3 -4];P = sdpvar(2,2);alpha = sdpvar(1,1);F = (P>=eye(2))+(A'*P+P*A <= -2*alpha*P)+(alpha >= 0);sol = optimize([F,P(:) <= 100],-alpha,ops);function sol = test_geometric_programming(ops)t1 = sdpvar(1,1);t2 = sdpvar(1,1);t3 = sdpvar(1,1);t = [t1 t2 t3];obj = (40*t1^-1*t2^-0.5*t3^-1)+(20*t1*t3)+(40*t1*t2*t3);F = ((1/3)*t1^-2*t2^-2+(4/3)*t2^0.5*t3^-1 <= 1);F = [F, t>=0];sol = optimize(F,obj,ops);function sol = test_nonlinear_programming(ops)sdpvar x ysol = optimize(x^2 + x^4 + exp(x) <= 1, x^2+y^2,ops);function sol = test_exponential_cone_programming(ops)sdpvar x y zsol = optimize([expcone([x;2;z]),x==1],z,ops);function html = addLink(x)if length(x)>0html = ['<a href="https://yalmip.github.io/solver/' lower(x) '">' upper(x) '</a>'];elsehtml = '';endfunction x = cleanversion(x)s = strfind(x,'-');if ~isempty(s)x=x(1:s-1);end
🔗 参考文献
[1]杨鑫,杨洪朝,张党强.考虑可再生能源的冷热电联供系统环境经济调度模型[J].电力科学与技术学报, 2014, 29(4):6.DOI:10.3969/j.issn.1673-9140.2014.04.014.
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🌟小众优化类：生产调度、经济调度、装配线调度、充电优化、车间调度、发车优化、水库调度、三维装箱、物流选址、货位优化、公交排班优化、充电桩布局优化、车间布局优化、集装箱船配载优化、水泵组合优化、解医疗资源分配优化、设施布局优化、可视域基站和无人机选址优化、背包问题、 风电场布局、时隙分配优化、 最佳分布式发电单元分配、多阶段管道维修、 工厂-中心-需求点三级选址问题、 应急生活物质配送中心选址、 基站选址、 道路灯柱布置、 枢纽节点部署、 输电线路台风监测装置、 集装箱调度、 机组优化、 投资优化组合、云服务器组合优化、 天线线性阵列分布优化、CVRP问题、VRPPD问题、多中心VRP问题、多层网络的VRP问题、多中心多车型的VRP问题、 动态VRP问题、双层车辆路径规划（2E-VRP）、充电车辆路径规划（EVRP）、油电混合车辆路径规划、混合流水车间问题、 订单拆分调度问题、 公交车的调度排班优化问题、航班摆渡车辆调度问题、选址路径规划问题、港口调度、港口岸桥调度、停机位分配、机场航班调度、泄漏源定位、冷链、时间窗、多车场等、选址优化、港口岸桥调度优化、交通阻抗、重分配、停机位分配、机场航班调度、通信上传下载分配优化、微电网优化、无功优化、配电网重构、储能配置、有序充电、MPPT优化、家庭用电、电/冷/热负荷预测、电力设备故障诊断、电池管理系统（BMS）SOC/SOH估算（粒子滤波/卡尔曼滤波）、 多目标优化在电力系统调度中的应用、光伏MPPT控制算法改进（扰动观察法/电导增量法）、电动汽车充放电优化、微电网日前日内优化、储能优化、家庭用电优化、供应链优化\智能电网分布式能源经济优化调度，虚拟电厂，能源消纳，风光出力，控制策略，多目标优化，博弈能源调度，鲁棒优化等等均可~
🌟 无人机应用方面：无人机路径规划、无人机控制、无人机编队、无人机协同、无人机任务分配、无人机安全通信轨迹在线优化、车辆协同无人机路径规划
🌟通信方面：传感器部署优化、通信协议优化、路由优化、目标定位优化、Dv-Hop定位优化、Leach协议优化、WSN覆盖优化、组播优化、RSSI定位优化、水声通信、通信上传下载分配
🌟信号处理方面：信号识别、信号加密、信号去噪、信号增强、雷达信号处理、信号水印嵌入提取、肌电信号、脑电信号、信号配时优化、心电信号、DOA估计、编码译码、变分模态分解、管道泄漏、滤波器、数字信号处理+传输+分析+去噪、数字信号调制、误码率、信号估计、DTMF、信号检测
🌟电力系统方面：
微电网优化、无功优化、配电网重构、储能配置、有序充电、MPPT优化、家庭用电、电/冷/热负荷预测、电力设备故障诊断、电池管理系统（BMS）SOC/SOH估算（粒子滤波/卡尔曼滤波）、 多目标优化在电力系统调度中的应用、光伏MPPT控制算法改进（扰动观察法/电导增量法）、电动汽车充放电优化、微电网日前日内优化、储能优化、家庭用电优化、供应链优化\智能电网分布式能源经济优化调度，虚拟电厂，能源消纳，风光出力，控制策略，多目标优化，博弈能源调度，鲁棒优化
🌟原创改进优化算法（适合需要创新的同学）：原创改进2025年的波动光学优化算法WOO以及三国优化算法TKOA、白鲸优化算法BWO等任意优化算法均可，保证测试函数效果，一般可直接核心