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单同步坐标系锁相环代码

时间: 2025-02-28 16:47:38 浏览: 35

### 单同步坐标系锁相环的代码实现对于单同步参考帧锁相环（Single Synchronous Reference Frame Phase Locked Loop, SSRF PLL），通常用于电力电子和电机控制领域，以估计电网电压的角度位置。下面是一个基于MATLAB/Simulink环境下的SSRF PLL算法简化版本。 ```matlab function [theta, w] = ssrf_pll(v_alpha, v_beta, Kp, Ki, theta_prev, w_prev) % SSRF_PLL Single Synchronous Reference Frame Phase Locked Loop. % % Inputs: % - v_alpha : Alpha component of the input voltage vector % - v_beta : Beta component of the input voltage vector % - Kp : Proportional gain for PI controller % - Ki : Integral gain for PI controller % - theta_prev : Previous angle estimate % - w_prev : Previous frequency estimate % % Outputs: % - theta : Current estimated angle % - w : Current estimated angular velocity (frequency) % Transform from alpha-beta to d-q coordinates using previous angle estimation sin_theta = sin(theta_prev); cos_theta = cos(theta_prev); vd = v_alpha * cos_theta + v_beta * sin_theta; vq = -v_alpha * sin_theta + v_beta * cos_theta; % Calculate error signal as q-axis component which should be zero ideally e_q = vq; % Update omega with PI control based on error delta_w = Kp * e_q + Ki * integral(e_q); % Integrate change in frequency over time step dt=1 assumed here for simplicity w = w_prev + delta_w; % Accumulate new angle value by integrating updated frequency theta = mod(theta_prev + w, 2*pi); end ``` 此函数实现了基本的SSRF PLL逻辑，在每次调用时更新角度`θ`和角速度`ω`两个状态变量。注意这里假设采样周期为单位时间步长，并且忽略了实际应用中的许多细节处理[^1]。

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