fun_ccv.m

该程序是计算最优潮流的matlab工具箱。可以很好的求解目标函数不同的最优潮流问题。

function [f, g] = fun_ccv(x, baseMVA, bus, gen, gencost, branch, Ybus, Yf, Yt, V, ref, pv, pq, mpopt)
%FUN_CCV  Evaluates objective function & constraints for OPF.
%   [f, g] = fun_ccv(x, baseMVA, bus, gen, gencost, branch, Ybus, Yf, Yt, V, ref, pv, pq, mpopt)

%   MATPOWER
%   $Id: fun_ccv.m,v 1.6 2004/09/08 12:37:35 ray Exp $
%   by Ray Zimmerman, PSERC Cornell
%   Copyright (c) 1996-2004 by Power System Engineering Research Center (PSERC)
%   See http://www.pserc.cornell.edu/matpower/ for more info.

%%----- initialize -----
%% define named indices into gen, branch matrices
[PQ, PV, REF, NONE, BUS_I, BUS_TYPE, PD, QD, GS, BS, BUS_AREA, VM, ...
    VA, BASE_KV, ZONE, VMAX, VMIN, LAM_P, LAM_Q, MU_VMAX, MU_VMIN] = idx_bus;
[GEN_BUS, PG, QG, QMAX, QMIN, VG, MBASE, ...
    GEN_STATUS, PMAX, PMIN, MU_PMAX, MU_PMIN, MU_QMAX, MU_QMIN] = idx_gen;
[F_BUS, T_BUS, BR_R, BR_X, BR_B, RATE_A, RATE_B, ...
    RATE_C, TAP, SHIFT, BR_STATUS, PF, QF, PT, QT, MU_SF, MU_ST] = idx_brch;
[PW_LINEAR, POLYNOMIAL, MODEL, STARTUP, SHUTDOWN, N, COST] = idx_cost;

%% constant
j = sqrt(-1);

%% generator info
on = find(gen(:, GEN_STATUS) > 0);      %% which generators are on?

%% sizes of things
nb = size(bus, 1);
nl = size(branch, 1);
npv = length(pv);
npq = length(pq);
ng = length(on);                        %% number of generators that are turned on

%% check for costs for Qg
[pcost, qcost] = pqcost(gencost, size(gen, 1), on);
if isempty(qcost)       %% set number of cost variables
    ncv = ng;           %% only Cp
else
    ncv = 2 * ng;       %% Cp and Cq
end

%% set up indexing for x
j1 = 1;         j2  = npv;              %% j1:j2    - V angle of pv buses
j3 = j2 + 1;    j4  = j2 + npq;         %% j3:j4    - V angle of pq buses
j5 = j4 + 1;    j6  = j4 + nb;          %% j5:j6    - V mag of all buses
j7 = j6 + 1;    j8  = j6 + ng;          %% j7:j8    - P of generators
j9 = j8 + 1;    j10 = j8 + ng;          %% j9:j10   - Q of generators
j11 = j10 + 1;  j12 = j10 + ng;         %% j11:j12  - Cp, cost of Pg

%% grab Pg & Qg and their costs
Pg = x(j7:j8);                              %% active generation in p.u.
Qg = x(j9:j10);                             %% reactive generation in p.u.
Cp = x(j11:j12);                            %% active costs in $/hr
if ncv > ng             %% no free VArs
    j13 = j12 + 1;  j14 = j12 + ng;         %% j13:j14  - Cq, cost of Qg
    Cq = x(j13:j14);                        %% reactive costs in $/hr
end

%%----- evaluate objective function -----
%% put Pg & Qg back in gen
gen(on, PG) = Pg * baseMVA;                 %% active generation in MW
gen(on, QG) = Qg * baseMVA;                 %% reactive generation in MVAr

%% compute objective value
if ncv > ng             %% no free VArs
    f = sum([Cp; Cq]);
else                    %% free VArs
    f = sum(Cp);
end

%%----- evaluate constraints -----
if nargout > 1
    %% reconstruct V
    Va = zeros(nb, 1);
    Va([ref; pv; pq]) = [angle(V(ref)); x(j1:j2); x(j3:j4)];
    Vm = x(j5:j6);
    V = Vm .* exp(j * Va);
    
    %% rebuild Sbus
    Sbus = makeSbus(baseMVA, bus, gen);     %% net injected power in p.u.
    
    %% evaluate power flow equations
    mis = V .* conj(Ybus * V) - Sbus;
    
    %% compute branch power flows
    br = find(branch(:, BR_STATUS));
    Sf = V(branch(br, F_BUS)) .* conj(Yf(br, :) * V);   %% complex power injected at "from" bus (p.u.)
    St = V(branch(br, T_BUS)) .* conj(Yt(br, :) * V);   %% complex power injected at "to" bus (p.u.)
    
    %% compute generator cost constraints ( costfcn @ Pg - Cp , etc.)
    Qcc = [];
    nsegs = pcost(:, N) - 1;            %% number of cost constraints for each gen
    ncc = sum(nsegs);                   %% total number of cost constraints
    Pcc = zeros(ncc, 1);
    for i = 1:ng
        xx = pcost(i,       COST:2:( COST + 2*(nsegs(i))    ))';
        yy = pcost(i,   (COST+1):2:( COST + 2*(nsegs(i)) + 1))';
        i1 = 1:nsegs(i);
        i2 = 2:(nsegs(i) + 1);
        m = (yy(i2) - yy(i1)) ./ (xx(i2) - xx(i1));
        b = yy(i1) - m .* xx(i1);
        Pcc(sum(nsegs(1:(i-1))) + [1:nsegs(i)]) = ...
                            m .* gen(on(i), PG) + b - Cp(i);
    end
    if ncv > ng             %% no free VArs
        nsegs = qcost(:, N) - 1;            %% number of cost constraints for each gen
        ncc = sum(nsegs);                   %% total number of cost constraints
        Qcc = zeros(ncc, 1);
        for i = 1:ng
            xx = qcost(i,       COST:2:( COST + 2*(nsegs(i))    ))';
            yy = qcost(i,   (COST+1):2:( COST + 2*(nsegs(i)) + 1))';
            i1 = 1:nsegs(i);
            i2 = 2:(nsegs(i) + 1);
            m = (yy(i2) - yy(i1)) ./ (xx(i2) - xx(i1));
            b = yy(i1) - m .* xx(i1);
            Qcc(sum(nsegs(1:(i-1))) + [1:nsegs(i)]) = ...
                                m .* gen(on(i), QG) + b - Cq(i);
        end
    end
    
    %% compute line flow constraints
    if mpopt(24) == 1   %% branch active power limits
        flow_limit = [
            real(Sf) - branch(br, RATE_A) / baseMVA;    %% from bus
            real(St) - branch(br, RATE_A) / baseMVA;    %% to bus
        ];
    else                %% branch apparent power limits
        flow_limit = [
            abs(Sf) - branch(br, RATE_A) / baseMVA;     %% from bus
            abs(St) - branch(br, RATE_A) / baseMVA;     %% to bus
        ];
    end
    
    %% compute constraint function values
    g = [
        %% equality constraints
        real(mis);                          %% active power mismatch for all buses
        imag(mis);                          %% reactive power mismatch for all buses

        %% inequality constraints (variable limits, voltage & generation)
        bus(:, VMIN) - Vm;                  %% lower voltage limit for var V
        Vm - bus(:, VMAX);                  %% upper voltage limit for var V
        gen(on, PMIN) / baseMVA - Pg;       %% lower generator P limit
        Pg - gen(on, PMAX) / baseMVA;       %% upper generator P limit
        gen(on, QMIN) / baseMVA - Qg;       %% lower generator Q limit
        Qg - gen(on, QMAX) / baseMVA;       %% upper generator Q limit

        %% inequality constraints (line flow limits)
        flow_limit;
        
        %% inequality cost constraints
        Pcc;
        Qcc;
    ];
end

return;