matlab-基于加权最小二乘法的电力系统状态估计,通过matlab测试IEEE14和IEEE30测试网络-源码

% clc; clear; close all; warning off; addpath(genpath(pwd)); num = 30; % IEEE - 14 or IEEE - 30 bus system..(for IEEE-14 bus system replace 30 by 14)... ybus = ybusppg(num); % Get YBus.. zdata = zdatas(num); % Get Measurement data.. bpq = bbusppg(num); % Get B data.. nbus = max(max(zdata(:,4)),max(zdata(:,5))); % Get number of buses.. type = zdata(:,2); % Type of measurement, Vi - 1, Pi - 2, Qi - 3, Pij - 4, Qij - 5, Iij - 6.. z = zdata(:,3); % Measuement values.. fbus = zdata(:,4); % From bus.. tbus = zdata(:,5); % To bus.. Ri = diag(zdata(:,6)); % Measurement Error.. V = ones(nbus,1); % Initialize the bus voltages.. del = zeros(nbus,1); % Initialize the bus angles.. E = [del(2:end); V]; % State Vector.. G = real(ybus); B = imag(ybus); vi = find(type == 1); % Index of voltage magnitude measurements.. ppi = find(type == 2); % Index of real power injection measurements.. qi = find(type == 3); % Index of reactive power injection measurements.. pf = find(type == 4); % Index of real powerflow measurements.. qf = find(type == 5); % Index of reactive powerflow measurements.. nvi = length(vi); % Number of Voltage measurements.. npi = length(ppi); % Number of Real Power Injection measurements.. nqi = length(qi); % Number of Reactive Power Injection measurements.. npf = length(pf); % Number of Real Power Flow measurements.. nqf = length(qf); % Number of Reactive Power Flow measurements.. iter = 1; tol = 100; while(tol > 1e-14) %Measurement Function, h fbus(vi) h1 = V(fbus(vi),1); h2 = zeros(npi,1); h3 = zeros(nqi,1); h4 = zeros(npf,1); h5 = zeros(nqf,1); for i = 1:npi m = fbus(ppi(i)); for k = 1:nbus h2(i) = h2(i) + V(m)*V(k)*(G(m,k)*cos(del(m)-del(k)) + B(m,k)*sin(del(m)-del(k))); end end for i = 1:nqi m = fbus(qi(i)); for k = 1:nbus h3(i) = h3(i) + V(m)*V(k)*(G(m,k)*sin(del(m)-del(k)) - B(m,k)*cos(del(m)-del(k))); end end for i = 1:npf m = fbus(pf(i)); n = tbus(pf(i)); h4(i) = -V(m)^2*G(m,n) - V(m)*V(n)*(-G(m,n)*cos(del(m)-del(n)) - B(m,n)*sin(del(m)-del(n))); end for i = 1:nqf m = fbus(qf(i)); n = tbus(qf(i)); h5(i) = -V(m)^2*(-B(m,n)+bpq(m,n)) - V(m)*V(n)*(-G(m,n)*sin(del(m)-del(n)) + B(m,n)*cos(del(m)-del(n))); end h = [h1; h2; h3; h4; h5]; % Residue.. r = z - h; errors(iter) = abs(mean(r)); % Jacobian.. % H11 - Derivative of V with respect to angles.. All Zeros H11 = zeros(nvi,nbus-1); % H12 - Derivative of V with respect to V.. H12 = zeros(nvi,nbus); for k = 1:nvi for n = 1:nbus if n == k H12(k,n) = 1; end end end % H21 - Derivative of Real Power Injections with Angles.. H21 = zeros(npi,nbus-1); for i = 1:npi m = fbus(ppi(i)); for k = 1:(nbus-1) if k+1 == m for n = 1:nbus H21(i,k) = H21(i,k) + V(m)* V(n)*(-G(m,n)*sin(del(m)-del(n)) + B(m,n)*cos(del(m)-del(n))); end H21(i,k) = H21(i,k) - V(m)^2*B(m,m); else H21(i,k) = V(m)* V(k+1)*(G(m,k+1)*sin(del(m)-del(k+1)) - B(m,k+1)*cos(del(m)-del(k+1))); end end end % H22 - Derivative of Real Power Injections with V.. H22 = zeros(npi,nbus); for i = 1:npi m = fbus(ppi(i)); for k = 1:(nbus) if k == m for n = 1:nbus H22(i,k) = H22(i,k) + V(n)*(G(m,n)*cos(del(m)-del(n)) + B(m,n)*sin(del(m)-del(n))); end H22(i,k) = H22(i,k) + V(m)*G(m,m); else H22(i,k) = V(m)*(G(m,k)*cos(del(m)-del(k)) + B(m,k)*sin(del(m)-del(k))); end end end % H31 - Derivative of Reactive Power Injections with Angles.. H31 = zeros(nqi,nbus-1); for i = 1:nqi m = fbus(qi(i)); for k = 1:(nbus-1) if k+1 == m for n = 1:nbus H31(i,k) = H31(i,k) + V(m)* V(n)*(G(m,n)*cos(del(m)-del(n)) + B(m,n)*sin(del(m)-del(n))); end H31(i,k) = H31(i,k) - V(m)^2*G(m,m); else H31(i,k) = V(m)* V(k+1)*(-G(m,k+1)*cos(del(m)-del(k+1)) - B(m,k+1)*sin(del(m)-del(k+1))); end end end % H32 - Derivative of Reactive Power Injections with V.. H32 = zeros(nqi,nbus); for i = 1:nqi m = fbus(qi(i)); for k = 1:(nbus) if k == m for n = 1:nbus H32(i,k) = H32(i,k) + V(n)*(G(m,n)*sin(del(m)-del(n)) - B(m,n)*cos(del(m)-del(n))); end H32(i,k) = H32(i,k) - V(m)*B(m,m); else H32(i,k) = V(m)*(G(m,k)*sin(del(m)-del(k)) - B(m,k)*cos(del(m)-del(k))); end end end % H41 - Derivative of Real Power Flows with Angles.. H41 = zeros(npf,nbus-1); for i = 1:npf m = fbus(pf(i)); n = tbus(pf(i)); for k = 1:(nbus-1) if k+1 == m H41(i,k) = V(m)* V(n)*(-G(m,n)*sin(del(m)-del(n)) + B(m,n)*cos(del(m)-del(n))); else if k+1 == n H41(i,k) = -V(m)* V(n)*(-G(m,n)*sin(del(m)-del(n)) + B(m,n)*cos(del(m)-del(n))); else H41(i,k) = 0; end end end end % H42 - Derivative of Real Power Flows with V.. H42 = zeros(npf,nbus); for i = 1:npf m = fbus(pf(i)); n = tbus(pf(i)); for k = 1:nbus if k == m H42(i,k) = -V(n)*(-G(m,n)*cos(del(m)-del(n)) - B(m,n)*sin(del(m)-del(n))) - 2*G(m,n)*V(m); else if k == n H42(i,k) = -V(m)*(-G(m,n)*cos(del(m)-del(n)) - B(m,n)*sin(del(m)-del(n))); else H42(i,k) = 0; end end end end % H51 - Derivative of Reactive Power Flows with Angles.. H51 = zeros(nqf,nbus-1); for i = 1:nqf m = fbus(qf(i)); n = tbus(qf(i)); for k = 1:(nbus-1) if k+1 == m H51(i,k) = -V(m)* V(n)*(-G(m,n)*cos(del(m)-del(n)) - B(m,n)*sin(del(m)-del(n))); else if k+1 == n H51(i,k) = V(m)* V(n)*(-G(m,n)*cos(del(m)-del(n)) - B(m,n)*sin(del(m)-del(n))); else H51(i,k) = 0; end end end end % H52 - Derivative of Reactive Power Flows with V.. H52 = zeros(nqf,nbus); for i = 1:nqf m = fbus(qf(i)); n = tbus(qf(i)); for k = 1:nbus if k == m H52(i,k) = -V(n)*(-G(m,n)*sin(del(m)-del(n)) + B(m,n)*cos(del(m)-del(n))) - 2*V(m)*(-B(m,n)+ bpq(m,n)); else if k == n H52(i,k) = -V(m)*(-G(m,n)*sin(del(m)-del(n)) + B(m,n)*cos(del(m)-del(n))); else H52(i,k) = 0; end end end end % Measurement Jacobian, H.. H = [H11 H12; H21 H22; H31 H32; H41 H42; H51 H52]; % Gain Matrix, Gm.. Gm = H'*inv(Ri)*H; %Objective Function.. J = sum(inv(Ri)*r.^2); % State Vector.. dE = inv(Gm)*(H'*inv(Ri)*r); E = E + dE; del(2:end) = E(1:nbus-1); V = E(nbus:end); iter = iter + 1; tol = max(abs(dE)); end CvE = diag(inv(H'*inv(Ri)*H)); % Covariance matrix.. Del = 180/pi*del; E2 = [V Del]; % Bus Voltages and angles.. disp('-------- State Estimation ------------------'); disp('--------------------------'); disp('| Bus | V | An