/**************************************************************************** * control/lib_transform.c * * Copyright (C) 2018 Gregory Nutt. All rights reserved. * Author: Mateusz Szafoni * * Redistribution and use in source and binary forms, with or without * modification, are permitted provided that the following conditions * are met: * * 1. Redistributions of source code must retain the above copyright * notice, this list of conditions and the following disclaimer. * 2. Redistributions in binary form must reproduce the above copyright * notice, this list of conditions and the following disclaimer in * the documentation and/or other materials provided with the * distribution. * 3. Neither the name NuttX nor the names of its contributors may be * used to endorse or promote products derived from this software * without specific prior written permission. * * THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS * "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT * LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS * FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE * COPYRIGHT OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, * INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, * BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS * OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED * AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN * ANY WAY OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE * POSSIBILITY OF SUCH DAMAGE. * ****************************************************************************/ /**************************************************************************** * Included Files ****************************************************************************/ #include /**************************************************************************** * Pre-processor Definitions ****************************************************************************/ /**************************************************************************** * Public Functions ****************************************************************************/ /**************************************************************************** * Name: Clarke transform (abc frame -> ab frame) * * Description: * Transform the abc frame to the alpha-beta frame. * * i_alpha = k*(i_a - 0.5*i_b - 0.5*i_c) * i_beta = k*sqrt(3)*0.5*(i_b - i_c) * * We assume that: * 1) k = 2/3 for the non-power-invariant transformation * 2) balanced system: a + b + c = 0 * * Input Parameters: * abc - (in) pointer to the abc frame * ab - (out) pointer to the alpha-beta frame * * Returned Value: * None * ****************************************************************************/ void clarke_transform(FAR abc_frame_t *abc, FAR ab_frame_t *ab) { DEBUGASSERT(abc != NULL); DEBUGASSERT(ab != NULL); ab->a = abc->a; ab->b = ONE_BY_SQRT3_F*abc->a + TWO_BY_SQRT3_F*abc->b; } /**************************************************************************** * Name: Inverse Clarke transform (ab frame -> abc frame) * * Description: * Transform the alpha-beta frame to the abc frame. * * Input Parameters: * ab - (in) pointer to the alpha-beta frame * abc - (out) pointer to the abc frame * * Returned Value: * None * ****************************************************************************/ void inv_clarke_transform(FAR ab_frame_t *ab, FAR abc_frame_t *abc) { DEBUGASSERT(ab != NULL); DEBUGASSERT(abc != NULL); /* Assume non-power-invariant transform and balanced system */ abc->a = ab->a; abc->b = -0.5f*ab->a + SQRT3_BY_TWO_F*ab->b; abc->c = -abc->a - abc->b; } /**************************************************************************** * Name: Park transform (ab frame -> dq frame) * * Description: * Transform the alpha-beta frame to the direct-quadrature frame. * * Input Parameters: * angle - (in) pointer to the phase angle data * ab - (in) pointer to the alpha-beta frame * dq - (out) pointer to the direct-quadrature frame * * Returned Value: * None * ****************************************************************************/ void park_transform(FAR phase_angle_t *angle, FAR ab_frame_t *ab, FAR dq_frame_t *dq) { DEBUGASSERT(angle != NULL); DEBUGASSERT(ab != NULL); DEBUGASSERT(dq != NULL); dq->d = angle->cos * ab->a + angle->sin * ab->b; dq->q = angle->cos * ab->b - angle->sin * ab->a; } /**************************************************************************** * Name: Inverse Park transform (dq frame -> ab frame) * * Description: * Transform direct-quadrature frame to alpha-beta frame. * * Input Parameters: * angle - (in) pointer to the phase angle data * dq - (in) pointer to the direct-quadrature frame * ab - (out) pointer to the alpha-beta frame * * Returned Value: * None * ****************************************************************************/ void inv_park_transform(FAR phase_angle_t *angle, FAR dq_frame_t *dq, FAR ab_frame_t *ab) { DEBUGASSERT(angle != NULL); DEBUGASSERT(dq != NULL); DEBUGASSERT(ab != NULL); ab->a = angle->cos * dq->d - angle->sin * dq->q; ab->b = angle->cos * dq->q + angle->sin * dq->d; }