```
% 铅酸电池仿真模型(改进版)
% 🌟 1.建立OCV-SOC查找表
SOC_lut = 0:0.01:1;
V_oc_lut = arrayfun(@(soc) 12 + 0.1*soc + 0.01*(T-25), SOC_lut);
% 🌟 2.开路电压法初始化SOC
V_initial = 12.05; % 假设测得的静置电压
SOC_0 = interp1(V_oc_lut, SOC_lut, V_initial, 'nearest'); % 查表初始化
% 参数定义
Q_max = 50; R0 = 0.01; Rp = 0.005; Cp = 2000;
T = 25; aging_factor = 0.0001; cycle_count = 0;
% 🌟 3.卡尔曼滤波参数
Q_kf = diag([1e-6, 1e-6]); % 过程噪声协方差
R_kf = 1e-4; % 观测噪声方差
P_kf = diag([0.1, 0.1]); % 初始估计协方差
x_kf = [SOC_0; 0]; % 初始状态[SOC; V_p]
% 仿真设置
t_end = 3600; dt = 1; t = 0:dt:t_end;
I = 5*(1 + 0.5*sin(2*pi*t/600)); % 🌟动态工况示例
% 初始化变量
SOC_true = zeros(size(t)); SOC_est = zeros(size(t));
V_bat = zeros(size(t)); resting_time = 0;
% 主循环
SOC_true(1) = SOC_0; SOC_est(1) = SOC_0;
for k = 1:length(t)-1
% 老化参数更新
R0_aged = R0 + aging_factor*cycle_count*0.001;
Q_max_aged = Q_max - aging_factor*cycle_count*0.1;
% 🌟 4.静置状态检测
if I(k) == 0
resting_time = resting_time + dt;
if resting_time > 5*Rp*Cp % 极化电容充分放电
SOC_est(k) = interp1(V_oc_lut, SOC_lut, V_bat(k), 'nearest');
x_kf(1) = SOC_est(k); % 强制更新卡尔曼状态
end
else
resting_time = 0;
end
% 🌟 卡尔曼滤波预测
F = [1, 0; 0, 1-dt/(Rp*Cp)];
B = [-dt/(Q_max_aged*3600); dt/Cp];
x_prior = F*x_kf + B*I(k);
P_prior = F*P_kf*F' + Q_kf;
% 卡尔曼滤波更新
H = [0.1, -1]; % OCV-SOC斜率0.1V/%
z_pred = 12 + 0.1*x_prior(1) + 0.01*(T-25) - I(k)*R0_aged - x_prior(2);
K = P_prior*H'/(H*P_prior*H' + R_kf);
x_kf = x_prior + K*(V_bat(k) - z_pred);
P_kf = (eye(2)-K*H)*P_prior;
% 真实模型更新
SOC_true(k+1) = SOC_true(k) - I(k)*dt/(Q_max_aged*3600);
V_p_next = (V_bat(k) - (12 + 0.1*SOC_true(k) + 0.01*(T-25)) + I(k)*R0_aged);
V_bat(k+1) = 12 + 0.1*SOC_true(k+1) + 0.01*(T-25) - I(k)*R0_aged - V_p_next;
% 保存估计值
SOC_est(k+1) = x_kf(1);
% 循环计数逻辑
if SOC_true(k) < 0.2 && SOC_true(k+1) >= 0.8
cycle_count = cycle_count + 1;
end
end
% 可视化结果
figure;
subplot(3,1,1);
plot(t, V_bat, 'b', 'LineWidth',1.5);
title('电池端电压'); xlabel('时间(s)'); ylabel('电压(V)');
subplot(3,1,2);
plot(t, SOC_true*100, 'r--', t, SOC_est*100, 'b', 'LineWidth',1.5);
legend('真实SOC','估计SOC');
title('SOC估计对比'); xlabel('时间(s)'); ylabel('SOC(%)');
subplot(3,1,3);
plot(t, I, 'g', 'LineWidth',1.5);
title('动态工况电流'); xlabel('时间(s)'); ylabel('电流(A)');```给我完整的代码
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