/** * @file sfra_f32.c * @brief 软件频率响应分析器 (SFRA) 库实现,完全兼容 TI SFRA_F32 接口。 * @details 实现功率级传函 H(s)、系统开环传函 GH(s) 和闭环传函 CL(s) 的测量。 * 支持浮点运算,自动检测上位机参数变化并更新频率向量。 */ #include "sfra_f32.h" #include /*============================================================================ * 常量定义 *============================================================================*/ #define TWO_PI (2.0f * 3.14159265358979323846f) #define RAD_TO_DEG (180.0f / 3.14159265358979323846f) #define INVALID_MAG_DB (-200.0f) /*============================================================================ * 内部静态数据(单实例,非重入) *============================================================================*/ typedef struct { uint16_t active; /**< 扫频是否激活 */ uint16_t dtft_running; /**< 当前频率点是否正在累积 DTFT */ uint16_t freqIndex; /**< 当前频率点索引 */ uint16_t dataIndex; /**< 当前频率点的采样计数器 */ uint16_t dataCount; /**< 当前频率点总采样数 */ float32_t foi_rad; /**< 每个采样的角度增量 (rad) */ float32_t foi_sin; /**< 当前采样点 sin 值 */ float32_t foi_cos; /**< 当前采样点 cos 值 */ /* DTFT 累加器 (使用 e^{-jwt} 核) */ float32_t dtft_real_inj; /**< 注入信号 I 的实部 */ float32_t dtft_imag_inj; /**< 注入信号 I 的虚部 */ float32_t dtft_real_fb; /**< 反馈信号 Y 的实部 */ float32_t dtft_imag_fb; /**< 反馈信号 Y 的虚部 */ float32_t dtft_real_ctrl; /**< 控制输出 U 的实部 */ float32_t dtft_imag_ctrl; /**< 控制输出 U 的虚部 */ /* 影子变量:用于检测上位机参数变更 */ float32_t shadow_amplitude; /**< 上次同步的注入幅度 */ float32_t shadow_freqStart; /**< 上次同步的起始频率 */ float32_t shadow_freqStep; /**< 上次同步的频率步进乘数 */ int16_t shadow_speed; /**< 上次同步的扫频速度 */ int16_t storeH; /**< 是否存储 H 向量 */ int16_t storeGH; /**< 是否存储 GH 向量 */ int16_t storeCL; /**< 是否存储 CL 向量 */ } SFRA_Internal; static SFRA_Internal s_sfra = {0}; /*============================================================================ * 辅助函数 *============================================================================*/ /** * @brief 计算指定频率点需要累积的采样点数(基于 libsfra 的周期对齐策略) * @param foi_hz 注入频率 (Hz) * @param isrFreq 控制 ISR 频率 (Hz) * @param speed 速度因子(越大扫频越慢,累积周期越多) * @return 采样点数 */ static uint16_t calcDataCount(float32_t foi_hz, float32_t isrFreq, int16_t speed) { uint16_t cycles; if (foi_hz < 10.0f) cycles = 10; else if (foi_hz < 100.0f) cycles = (uint16_t)ceilf(foi_hz); else cycles = 100; cycles = (uint16_t)((float32_t)cycles * (float32_t)speed); if (cycles < 4) cycles = 4; float32_t samples_per_cycle = isrFreq / foi_hz; return (uint16_t)ceilf(samples_per_cycle * cycles); } /** * @brief 复数除法:计算 (num_re + j*num_im) / (den_re + j*den_im) * @param re_num 分子实部 * @param im_num 分子虚部 * @param re_den 分母实部 * @param im_den 分母虚部 * @param mag 输出幅值 (dB) * @param phase_deg 输出相位 (度) */ static void complexDiv(float32_t re_num, float32_t im_num, float32_t re_den, float32_t im_den, float32_t *mag, float32_t *phase_deg) { float32_t den_sq = re_den * re_den + im_den * im_den; if (den_sq < 1e-12f) { *mag = INVALID_MAG_DB; *phase_deg = 0.0f; return; } float32_t re = (re_num * re_den + im_num * im_den) / den_sq; float32_t im = (im_num * re_den - re_num * im_den) / den_sq; *mag = 10.0f * log10f(re * re + im * im); *phase_deg = atan2f(im, re) * RAD_TO_DEG; } /** * @brief 从指定索引开始重新生成频率向量(使用当前的 freqStart 和 freqStep) * @param obj SFRA 对象指针 * @param startIdx 起始索引(该点之前的频率点保持不变) */ static void regenerateFreqVectorFrom(SFRA_F32 *obj, uint16_t startIdx) { if (!obj || !obj->freqVect || obj->vecLength <= 0) return; if (startIdx >= (uint16_t)obj->vecLength) return; for (int16_t i = startIdx; i < obj->vecLength; i++) { if (i == 0) { obj->freqVect[0] = obj->freqStart; } else { obj->freqVect[i] = obj->freqVect[i-1] * obj->freqStep; } } } /*============================================================================ * 公开 API 实现 *============================================================================*/ void SFRA_F32_reset(SFRA_F32 *obj) { if (!obj) return; obj->state = 0; obj->status = 0; obj->freqIndex = 0; obj->start = 0; s_sfra.active = 0; s_sfra.dtft_running = 0; s_sfra.freqIndex = 0; s_sfra.dataIndex = 0; s_sfra.dataCount = 0; s_sfra.foi_rad = 0; s_sfra.foi_sin = 0; s_sfra.foi_cos = 0; s_sfra.dtft_real_inj = 0; s_sfra.dtft_imag_inj = 0; s_sfra.dtft_real_fb = 0; s_sfra.dtft_imag_fb = 0; s_sfra.dtft_real_ctrl = 0; s_sfra.dtft_imag_ctrl = 0; s_sfra.shadow_amplitude = obj->amplitude; s_sfra.shadow_freqStart = obj->freqStart; s_sfra.shadow_freqStep = obj->freqStep; s_sfra.shadow_speed = obj->speed; } void SFRA_F32_config(SFRA_F32 *obj, float32_t isrFrequency, float32_t injectionAmplitude, int16_t noFreqPoints, float32_t fraSweepStartFreq, float32_t freqStep, float32_t *h_magVect, float32_t *h_phaseVect, float32_t *gh_magVect, float32_t *gh_phaseVect, float32_t *cl_magVect, float32_t *cl_phaseVect, float32_t *freqVect, int16_t speed) { if (!obj) return; obj->isrFreq = isrFrequency; obj->amplitude = injectionAmplitude; obj->vecLength = noFreqPoints; obj->freqStart = fraSweepStartFreq; obj->freqStep = freqStep; obj->speed = speed; obj->h_magVect = h_magVect; obj->h_phaseVect = h_phaseVect; obj->gh_magVect = gh_magVect; obj->gh_phaseVect = gh_phaseVect; obj->cl_magVect = cl_magVect; obj->cl_phaseVect = cl_phaseVect; obj->freqVect = freqVect; obj->storeH = (h_magVect && h_phaseVect) ? 1 : 0; obj->storeGH = (gh_magVect && gh_phaseVect) ? 1 : 0; obj->storeCL = (cl_magVect && cl_phaseVect) ? 1 : 0; s_sfra.storeH = obj->storeH; s_sfra.storeGH = obj->storeGH; s_sfra.storeCL = obj->storeCL; s_sfra.shadow_amplitude = injectionAmplitude; s_sfra.shadow_freqStart = fraSweepStartFreq; s_sfra.shadow_freqStep = freqStep; s_sfra.shadow_speed = speed; SFRA_F32_reset(obj); } void SFRA_F32_initFreqArrayWithLogSteps(SFRA_F32 *obj, float32_t fra_sweep_start_freq, float32_t freqStep) { if (!obj || !obj->freqVect || obj->vecLength <= 0) return; obj->freqVect[0] = fra_sweep_start_freq; for (int16_t i = 1; i < obj->vecLength; i++) { obj->freqVect[i] = obj->freqVect[i-1] * freqStep; } s_sfra.shadow_freqStart = fra_sweep_start_freq; s_sfra.shadow_freqStep = freqStep; } void SFRA_F32_resetFreqRespArray(SFRA_F32 *obj) { if (!obj) return; uint16_t len = obj->vecLength; if (obj->storeH && obj->h_magVect && obj->h_phaseVect) { for (uint16_t i = 0; i < len; i++) { obj->h_magVect[i] = 0.0f; obj->h_phaseVect[i] = 0.0f; } } if (obj->storeGH && obj->gh_magVect && obj->gh_phaseVect) { for (uint16_t i = 0; i < len; i++) { obj->gh_magVect[i] = 0.0f; obj->gh_phaseVect[i] = 0.0f; } } if (obj->storeCL && obj->cl_magVect && obj->cl_phaseVect) { for (uint16_t i = 0; i < len; i++) { obj->cl_magVect[i] = 0.0f; obj->cl_phaseVect[i] = 0.0f; } } } void SFRA_F32_updateInjectionAmplitude(SFRA_F32 *obj, float32_t new_injection_amplitude) { if (obj) { obj->amplitude = new_injection_amplitude; s_sfra.shadow_amplitude = new_injection_amplitude; } } /** * @brief 注入函数:生成正弦扰动并叠加到参考值上。 * @param ref 原始参考值 * @return 叠加扰动后的参考值 */ float SFRA_F32_inject(float ref) { if (!s_sfra.active || !s_sfra.dtft_running) return ref; float32_t angle = s_sfra.foi_rad * s_sfra.dataIndex; s_sfra.foi_cos = cosf(angle); s_sfra.foi_sin = sinf(angle); return ref + s_sfra.shadow_amplitude * s_sfra.foi_cos; } /** * @brief 收集函数:在控制 ISR 中调用,累积 DTFT 数据。 * @param control_output 控制输出指针(例如占空比) * @param feedback 反馈信号指针(例如 ADC 读数) */ void SFRA_F32_collect(float *control_output, float *feedback) { if (!s_sfra.active || !s_sfra.dtft_running) return; if (!control_output || !feedback) return; float32_t ctrl = *control_output; float32_t fb = *feedback; float32_t cosv = s_sfra.foi_cos; float32_t sinv = s_sfra.foi_sin; /* DTFT 采用 e^{-jwt} 核,虚部为负号 */ s_sfra.dtft_real_fb += fb * cosv; s_sfra.dtft_imag_fb -= fb * sinv; s_sfra.dtft_real_ctrl += ctrl * cosv; s_sfra.dtft_imag_ctrl -= ctrl * sinv; float32_t inj = s_sfra.shadow_amplitude * cosv; s_sfra.dtft_real_inj += inj * cosv; s_sfra.dtft_imag_inj -= inj * sinv; s_sfra.dataIndex++; if (s_sfra.dataIndex >= s_sfra.dataCount) { s_sfra.dtft_running = 0; /* 当前频率点累积完成 */ } } /** * @brief 后台任务:状态机,管理扫频流程,计算传函并存储结果。 * @param obj SFRA 对象指针 * @note 传函定义: * - H(s) = Y / U (功率级传函,用于开环模式) * - GH(s) = Y / (I - Y) (系统开环传函,闭环模式下测量) * - CL(s) = Y / I (系统闭环传函) */ void SFRA_F32_runBackgroundTask(SFRA_F32 *obj) { if (!obj) return; /*------------------------------------------------------------------------ * 1. 扫频未激活时,检测参数变化并更新频率向量 *------------------------------------------------------------------------*/ if (!s_sfra.active) { if (obj->amplitude != s_sfra.shadow_amplitude) { s_sfra.shadow_amplitude = obj->amplitude; } if (obj->speed != s_sfra.shadow_speed) { s_sfra.shadow_speed = obj->speed; } if (obj->freqStart != s_sfra.shadow_freqStart || obj->freqStep != s_sfra.shadow_freqStep) { regenerateFreqVectorFrom(obj, 0); s_sfra.shadow_freqStart = obj->freqStart; s_sfra.shadow_freqStep = obj->freqStep; } } /*------------------------------------------------------------------------ * 2. 启动新扫频 *------------------------------------------------------------------------*/ if (!s_sfra.active && obj->start) { s_sfra.active = 1; s_sfra.freqIndex = 0; obj->start = 0; obj->state = 1; obj->status = 1; obj->freqIndex = 0; if (obj->freqVect && obj->vecLength > 0) { float32_t freq = obj->freqVect[0]; s_sfra.dataCount = calcDataCount(freq, obj->isrFreq, obj->speed); uint16_t cycles_raw; if (freq < 10.0f) cycles_raw = 10; else if (freq < 100.0f) cycles_raw = (uint16_t)ceilf(freq); else cycles_raw = 100; cycles_raw = (uint16_t)((float32_t)cycles_raw * obj->speed); if (cycles_raw < 4) cycles_raw = 4; s_sfra.foi_rad = TWO_PI * (float32_t)cycles_raw / (float32_t)s_sfra.dataCount; s_sfra.dataIndex = 0; s_sfra.dtft_real_inj = 0; s_sfra.dtft_imag_inj = 0; s_sfra.dtft_real_fb = 0; s_sfra.dtft_imag_fb = 0; s_sfra.dtft_real_ctrl = 0; s_sfra.dtft_imag_ctrl = 0; s_sfra.dtft_running = 1; } return; } if (!s_sfra.active) { obj->state = 0; obj->status = 0; return; } if (s_sfra.dtft_running) return; /*------------------------------------------------------------------------ * 3. 当前频率点 DTFT 已完成,计算并存储各类传函 *------------------------------------------------------------------------*/ uint16_t idx = s_sfra.freqIndex; if (idx < (uint16_t)obj->vecLength) { float32_t mag, phase; /* 功率级传函 H(s) = Y / U */ if (s_sfra.storeH && obj->h_magVect && obj->h_phaseVect) { complexDiv(s_sfra.dtft_real_fb, s_sfra.dtft_imag_fb, s_sfra.dtft_real_ctrl, s_sfra.dtft_imag_ctrl, &mag, &phase); obj->h_magVect[idx] = mag; obj->h_phaseVect[idx] = phase; } /* 开环传函 GH(s) = Y / (I - Y) */ if (s_sfra.storeGH && obj->gh_magVect && obj->gh_phaseVect) { float32_t re_iy = s_sfra.dtft_real_inj - s_sfra.dtft_real_fb; float32_t im_iy = s_sfra.dtft_imag_inj - s_sfra.dtft_imag_fb; complexDiv(s_sfra.dtft_real_fb, s_sfra.dtft_imag_fb, re_iy, im_iy, &mag, &phase); obj->gh_magVect[idx] = mag; obj->gh_phaseVect[idx] = phase; } /* 闭环传函 CL(s) = Y / I */ if (s_sfra.storeCL && obj->cl_magVect && obj->cl_phaseVect) { complexDiv(s_sfra.dtft_real_fb, s_sfra.dtft_imag_fb, s_sfra.dtft_real_inj, s_sfra.dtft_imag_inj, &mag, &phase); obj->cl_magVect[idx] = mag; obj->cl_phaseVect[idx] = phase; } } /*------------------------------------------------------------------------ * 4. 准备下一个频率点(如果参数已变化,则重新生成剩余频率向量) *------------------------------------------------------------------------*/ s_sfra.freqIndex++; obj->freqIndex = s_sfra.freqIndex; if (s_sfra.freqIndex < (uint16_t)obj->vecLength) { /* 检测频率参数变化,重新生成剩余频率点 */ if (obj->freqStart != s_sfra.shadow_freqStart || obj->freqStep != s_sfra.shadow_freqStep) { regenerateFreqVectorFrom(obj, s_sfra.freqIndex); s_sfra.shadow_freqStart = obj->freqStart; s_sfra.shadow_freqStep = obj->freqStep; } if (obj->speed != s_sfra.shadow_speed) { s_sfra.shadow_speed = obj->speed; } float32_t freq = obj->freqVect[s_sfra.freqIndex]; s_sfra.dataCount = calcDataCount(freq, obj->isrFreq, obj->speed); uint16_t cycles_raw; if (freq < 10.0f) cycles_raw = 10; else if (freq < 100.0f) cycles_raw = (uint16_t)ceilf(freq); else cycles_raw = 100; cycles_raw = (uint16_t)((float32_t)cycles_raw * obj->speed); if (cycles_raw < 4) cycles_raw = 4; s_sfra.foi_rad = TWO_PI * (float32_t)cycles_raw / (float32_t)s_sfra.dataCount; s_sfra.dataIndex = 0; s_sfra.dtft_real_inj = 0; s_sfra.dtft_imag_inj = 0; s_sfra.dtft_real_fb = 0; s_sfra.dtft_imag_fb = 0; s_sfra.dtft_real_ctrl = 0; s_sfra.dtft_imag_ctrl = 0; s_sfra.dtft_running = 1; obj->state = 1; obj->status = 1; } else { /* 扫频结束 */ s_sfra.active = 0; obj->state = 0; obj->status = 2; obj->freqIndex = obj->vecLength; } }