✅作者简介热爱科研的Matlab仿真开发者擅长毕业设计辅导、数学建模、数据处理、建模仿真、程序设计、完整代码获取、论文复现及科研仿真。 往期回顾关注个人主页Matlab科研工作室 关注我领取海量matlab电子书和数学建模资料个人信条做科研博学之、审问之、慎思之、明辨之、笃行之是为博学慎思明辨笃行。 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 hrefhttps://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 hrefhttps://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 doesnt work well with solversmore offif exist(OCTAVE_VERSION, builtin)OctaveRunning 1;elseOctaveRunning 0;enddonttest 0;if (nargin1) isa(prefered_solver,char) strcmp(prefered_solver,test)donttest 0;prefered_solver ;elsedonttest 1;endif nargin0prefered_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 hrefhttps://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)1solvers(idx).builtin;data{j,3} foundstring{found(idx)1solvers(idx).builtin};j j1;endendif isa(prefered_solver,char)ops sdpsettings(Solver,prefered_solver);elseops prefered_solver;endops.saveyalmipmodel 1;if ~((nargin2) (ops.verbose0))[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 nargin2disp(Press any key to continue test)pauseendi1;test{i}.fcn test_core;test{i}.desc Core functionalities;i i1;test{i}.fcn test_linear_programming;test{i}.desc Linear programming (LP);i i1;test{i}.fcn test_quadratic_programming;test{i}.desc Quadratic programming (QP);i i1;test{i}.fcn test_socp_programming;test{i}.desc Second-order cone programming (SOCP);i i1;test{i}.fcn test_semidefinite_programming;test{i}.desc Semidefinite programming (SDP);i i1;test{i}.fcn test_geometric_programming;test{i}.desc Geometric programming (GP);i i1;test{i}.fcn test_nonlinear_programming;test{i}.desc Nonlinear programming (NLP);i i1;test{i}.fcn test_nonlinear_semidefinite_programming;test{i}.desc Nonlinear SDP (NLSDP);i i1;test{i}.fcn test_exponential_cone_programming;test{i}.desc Exponential cone programming (ECP);i i1;test{i}.fcn test_milinear_programming;test{i}.desc Mixed-integer LP (MIQP);i i1;test{i}.fcn test_miquadratic_programming;test{i}.desc Mixed-integer QP (MIQP);i i1;test{i}.fcn test_misocp_programming;test{i}.desc Mixed-integer SOCP (MISOCP);i i1;test{i}.fcn test_nonconvex_quadratic_programming;test{i}.desc Global nonconvex quadratic programming;i i1;test{i}.fcn test_nonconvex_global_programming;test{i}.desc Global nonconvex programming;i i1;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(x0,[],[],[],[],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 hrefhttps://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(x0,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 hrefhttps://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(x0,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 hrefhttps://yalmip.github.io/solver/bnb/BNB/a))disp( If you intend to solve MIQP/MISOCP, please install a better solver.)endenddisp(See a hrefhttps://yalmip.github.io/allsolversguide 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 xy;z x-y;z x1;z x-1;z xones(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*xx*yy*xx*x),0))% Regression ??yalmip(clear)sdpvar x(1xx^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 [Yt*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*xS*U;F (U1)(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 (Peye(2))(A*PP*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, t0];sol optimize(F,obj,ops);function sol test_nonlinear_programming(ops)sdpvar x ysol optimize(x^2 x^4 exp(x) 1, x^2y^2,ops);function sol test_exponential_cone_programming(ops)sdpvar x y zsol optimize([expcone([x;2;z]),x1],z,ops);function html addLink(x)if length(x)0html [a hrefhttps://yalmip.github.io/solver/ lower(x) upper(x) /a];elsehtml ;endfunction x cleanversion(x)s strfind(x,-);if ~isempty(s)xx(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.更多创新智能优化算法模型和应用场景可扫描关注机器学习/深度学习类BP、SVM、RVM、DBN、LSSVM、ELM、KELM、HKELM、DELM、RELM、DHKELM、RF、SAE、LSTM、BiLSTM、GRU、BiGRU、PNN、CNN、XGBoost、LightGBM、TCN、BiTCN、ESN、Transformer、模糊小波神经网络、宽度学习等等均可~方向涵盖风电预测、光伏预测、电池寿命预测、辐射源识别、交通流预测、负荷预测、股价预测、PM2.5浓度预测、电池健康状态预测、用电量预测、水体光学参数反演、NLOS信号识别、地铁停车精准预测、变压器故障诊断组合预测类CNN/TCN/BiTCN/DBN/Transformer/Adaboost结合SVM、RVM、ELM、LSTM、BiLSTM、GRU、BiGRU、Attention机制类等均可可任意搭配非常新颖~分解类EMD、EEMD、VMD、REMD、FEEMD、TVFEMD、CEEMDAN、ICEEMDAN、SVMD、FMD、JMD等分解模型均可~路径规划类旅行商问题TSP、车辆路径问题VRP、MVRP、CVRP、VRPTW等、无人机三维路径规划、无人机协同、无人机编队、机器人路径规划、栅格地图路径规划、多式联运运输问题、 充电车辆路径规划EVRP、 双层车辆路径规划2E-VRP、 油电混合车辆路径规划、 船舶航迹规划、 全路径规划规划、 仓储巡逻、公交车时间调度、水库调度优化、多式联运优化等等~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、 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【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
✅作者简介热爱科研的Matlab仿真开发者擅长毕业设计辅导、数学建模、数据处理、建模仿真、程序设计、完整代码获取、论文复现及科研仿真。 往期回顾关注个人主页Matlab科研工作室 关注我领取海量matlab电子书和数学建模资料个人信条做科研博学之、审问之、慎思之、明辨之、笃行之是为博学慎思明辨笃行。 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 hrefhttps://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 hrefhttps://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 doesnt work well with solversmore offif exist(OCTAVE_VERSION, builtin)OctaveRunning 1;elseOctaveRunning 0;enddonttest 0;if (nargin1) isa(prefered_solver,char) strcmp(prefered_solver,test)donttest 0;prefered_solver ;elsedonttest 1;endif nargin0prefered_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 hrefhttps://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)1solvers(idx).builtin;data{j,3} foundstring{found(idx)1solvers(idx).builtin};j j1;endendif isa(prefered_solver,char)ops sdpsettings(Solver,prefered_solver);elseops prefered_solver;endops.saveyalmipmodel 1;if ~((nargin2) (ops.verbose0))[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 nargin2disp(Press any key to continue test)pauseendi1;test{i}.fcn test_core;test{i}.desc Core functionalities;i i1;test{i}.fcn test_linear_programming;test{i}.desc Linear programming (LP);i i1;test{i}.fcn test_quadratic_programming;test{i}.desc Quadratic programming (QP);i i1;test{i}.fcn test_socp_programming;test{i}.desc Second-order cone programming (SOCP);i i1;test{i}.fcn test_semidefinite_programming;test{i}.desc Semidefinite programming (SDP);i i1;test{i}.fcn test_geometric_programming;test{i}.desc Geometric programming (GP);i i1;test{i}.fcn test_nonlinear_programming;test{i}.desc Nonlinear programming (NLP);i i1;test{i}.fcn test_nonlinear_semidefinite_programming;test{i}.desc Nonlinear SDP (NLSDP);i i1;test{i}.fcn test_exponential_cone_programming;test{i}.desc Exponential cone programming (ECP);i i1;test{i}.fcn test_milinear_programming;test{i}.desc Mixed-integer LP (MIQP);i i1;test{i}.fcn test_miquadratic_programming;test{i}.desc Mixed-integer QP (MIQP);i i1;test{i}.fcn test_misocp_programming;test{i}.desc Mixed-integer SOCP (MISOCP);i i1;test{i}.fcn test_nonconvex_quadratic_programming;test{i}.desc Global nonconvex quadratic programming;i i1;test{i}.fcn test_nonconvex_global_programming;test{i}.desc Global nonconvex programming;i i1;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(x0,[],[],[],[],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 hrefhttps://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(x0,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 hrefhttps://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(x0,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 hrefhttps://yalmip.github.io/solver/bnb/BNB/a))disp( If you intend to solve MIQP/MISOCP, please install a better solver.)endenddisp(See a hrefhttps://yalmip.github.io/allsolversguide 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 xy;z x-y;z x1;z x-1;z xones(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*xx*yy*xx*x),0))% Regression ??yalmip(clear)sdpvar x(1xx^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 [Yt*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*xS*U;F (U1)(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 (Peye(2))(A*PP*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, t0];sol optimize(F,obj,ops);function sol test_nonlinear_programming(ops)sdpvar x ysol optimize(x^2 x^4 exp(x) 1, x^2y^2,ops);function sol test_exponential_cone_programming(ops)sdpvar x y zsol optimize([expcone([x;2;z]),x1],z,ops);function html addLink(x)if length(x)0html [a hrefhttps://yalmip.github.io/solver/ lower(x) upper(x) /a];elsehtml ;endfunction x cleanversion(x)s strfind(x,-);if ~isempty(s)xx(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.更多创新智能优化算法模型和应用场景可扫描关注机器学习/深度学习类BP、SVM、RVM、DBN、LSSVM、ELM、KELM、HKELM、DELM、RELM、DHKELM、RF、SAE、LSTM、BiLSTM、GRU、BiGRU、PNN、CNN、XGBoost、LightGBM、TCN、BiTCN、ESN、Transformer、模糊小波神经网络、宽度学习等等均可~方向涵盖风电预测、光伏预测、电池寿命预测、辐射源识别、交通流预测、负荷预测、股价预测、PM2.5浓度预测、电池健康状态预测、用电量预测、水体光学参数反演、NLOS信号识别、地铁停车精准预测、变压器故障诊断组合预测类CNN/TCN/BiTCN/DBN/Transformer/Adaboost结合SVM、RVM、ELM、LSTM、BiLSTM、GRU、BiGRU、Attention机制类等均可可任意搭配非常新颖~分解类EMD、EEMD、VMD、REMD、FEEMD、TVFEMD、CEEMDAN、ICEEMDAN、SVMD、FMD、JMD等分解模型均可~路径规划类旅行商问题TSP、车辆路径问题VRP、MVRP、CVRP、VRPTW等、无人机三维路径规划、无人机协同、无人机编队、机器人路径规划、栅格地图路径规划、多式联运运输问题、 充电车辆路径规划EVRP、 双层车辆路径规划2E-VRP、 油电混合车辆路径规划、 船舶航迹规划、 全路径规划规划、 仓储巡逻、公交车时间调度、水库调度优化、多式联运优化等等~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、 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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
