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以下是一个用于进行33节点潮流计算的MATLAB源码示例:
% 33节点潮流计算
% 33节点电网数据(包括节点编号、节点类型、有功负荷、无功负荷、发电机有功、发电机无功、节点电压等级、节点电压初值)
bus_data = [
1 1 0 0 0 0 230 1.06;
2 2 0 0 2 0 230 1.045;
3 2 0 0 10 0 230 1.01;
...
33 3 0 0 0 0 230 1];
% 支路数据(包括起始节点、终止节点、电阻、电抗、导纳等信息)
line_data = [
1 2 0.0192 0.0575 0.0264 + j*0.0739;
1 3 0.0452 0.1652 0.0204 + j*0.2566;
...
32 33 0.053 0.162 0.0203 + j*0.107];
% 计算节点数量
num_nodes = size(bus_data, 1);
% 创建节点导纳矩阵
Ybus = zeros(num_nodes);
% 计算节点导纳矩阵
for k = 1:size(line_data, 1)
from_bus = line_data(k, 1);
to_bus = line_data(k, 2);
R = line_data(k, 3);
X = line_data(k, 4);
Y = line_data(k, 5);
Ybus(from_bus, to_bus) = -1 / (R + j*X);
Ybus(to_bus, from_bus) = -1 / (R + j*X);
Ybus(from_bus, from_bus) = Ybus(from_bus, from_bus) + j*Y/2;
Ybus(to_bus, to_bus) = Ybus(to_bus, to_bus) + j*Y/2;
end
% 初始化节点电压向量
V = bus_data(:, 8);
% 初始化节点功率向量
P = bus_data(:, 3);
Q = bus_data(:, 4);
% 迭代计算节点电压
iter = 0;
max_iter = 20;
tolerance = 1e-6;
while iter < max_iter
P_calc = zeros(num_nodes, 1);
Q_calc = zeros(num_nodes, 1);
for i = 1:num_nodes
for j = 1:num_nodes
P_calc(i) = P_calc(i) + V(i)*V(j)*(real(Ybus(i, j))*cos(angle(V(i) - V(j))) + imag(Ybus(i, j))*sin(angle(V(i) - V(j))));
Q_calc(i) = Q_calc(i) + V(i)*V(j)*(real(Ybus(i, j))*sin(angle(V(i) - V(j))) - imag(Ybus(i, j))*cos(angle(V(i) - V(j))));
end
end
V_prev = V;
for i = 1:num_nodes
if bus_data(i, 2) == 1
V(i) = bus_data(i, 8); % PQ节点保持电压不变
elseif bus_data(i, 2) == 2
V(i) = sqrt((P(i) - P_calc(i))^2 + (Q(i) - Q_calc(i))^2) / bus_data(i, 7); % PV节点更新电压
else
V(i) = sqrt((P(i) - P_calc(i))^2 + (Q(i) - Q_calc(i))^2) / bus_data(i, 7); % 参考节点更新电压
end
end
if max(abs(V - V_prev)) < tolerance
break;
end
iter = iter + 1;
end
% 输出节点电压和功率结果
for i = 1:num_nodes
fprintf('节点%d:V = %.4f ∠ %.2f°, P = %.2f MW, Q = %.2f MVAR\n', i, abs(V(i)), rad2deg(angle(V(i))), P_calc(i), Q_calc(i));
end
上述代码中,首先定义了33节点电网的节点数据和支路数据。然后,根据节点数据和支路数据计算了节点导纳矩阵。接下来,通过迭代计算节点电压和功率,直到满足收敛条件为止。最后,输出节点的电压和功率结果。
如果需要扩展该源码,可以考虑以下几个方面:
希望以上给出的源码示例和扩展思路能对你有所帮助。