function [lambda_d_lookup,lambda_q_lookup,Id_lookup,Iq_lookup,lambda_dq_I_dq_data]=Induct2Current(gamma_rad, I_rms, L_d, L_q, Inductance_refine_factor,Current_refine_factor,windowSize) % % Copyright (c) 2014 by Plexim GmbH All rights reserved. % % A free license is granted to anyone to use this software for any legal % non safety-critical purpose, including commercial applications, % provided that: 1) IT IS NOT USED TO DIRECTLY OR INDIRECTLY COMPETE % WITH PLEXIM, and 2) THIS COPYRIGHT NOTICE IS PRESERVED in its % entirety. % % THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, % EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF % MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. % IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY % CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN ACTION OF CONTRACT, % TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN CONNECTION WITH THE % SOFTWARE OR THE USE OR OTHER DEALINGS IN THE SOFTWARE. % % The Induct2Current function converts L_d and L_q data obtained as a % function of the rotor angle and rms current value into Id and Iq look-up % tables as a function of the flux in the d- and q-axes. This calculated % information is used to create look-up tables for the d- and q-axis % currents as a function of the flux in the d- and q-axes. % % Inputs: % % gamma_rad: nx1 column vector containing angle information at which the % d- and q- axis inductances are measured. Advance angle should be in the % range between 0 and pi/2 electrical angle. % % I_rms: mx1 column vector containing the rms current information at which % the d- and q-axis inductances are measured. The I_rms current is assumed % to be positive. % % L_d (L_q): mxn matrix with values of measured d-axis (q-axis) inductances % at different angle and current values. Each row corresponds to inductances % measured at different angles for a fixed rms current value. Each column % represents inductances measured at different rms current values for a fixed % rotor position. % % Inductance_refine_factor: Specified as a real, nonnegative, integer % scalar. This value specifies the number of times to repeatedly divide the % intervals of the refined grid in each dimension. This results in 2^k-1 % interpolated points between inductance values, angles, and current data % provided as inputs. A value of 0 will result in the data entered as is. % The refinement factor is limited to a maximum value of 3. % Inductance_refine_factor is used in an INTERP2 function. % % Current_refine_factor: Specified as a real, nonnegative, integer scalar. % This value specifies the number of times to repeatedly divide the % intervals of the refined grid in each dimension. This results in 2^k-1 % interpolated points between inductance d- and q-axis currents and flux % linkage values. A value of 0 will result in the data entered as is. The % refinement factor is limited to a maximum value of 3. The % Current_refine_factor is used in an INTERP2 function. % % windowSize: Corresponds to the averaging length of the averaging vector. % A windowSize of 3 will create an averaging vector that averages three % consecutive entries. Must be an odd integer. If an even integer is used % then it is incremented by 1 to make it odd. % % WARNING: Chosing a large windowSize will cause significant deviation from % the original data. A windowSize of 3,5,7 or 9 is recommended. % % See also CONV, INTERP2. % % Outputs: % % lambda_d_lookup (lambda_q_lookup): kx1 column vector the stores the % d-axis (q-axis) flux values that will be used for the d-axis (q-axis) % current look-up tables. % % Id_lookup (Iq_lookup): kxk matrix that stores the d-axis (q-axis) % estimated current information as a function of flux in the d-axis and % q-axis. % % lambda_dq_I_dq_data: A 4 column matrix that stores the raw calculated % values obtained from the inductance tables, I_rms current, and angle % information. The user can check this information to verify the validity % of the estimated current values. % Plexim, Inc. % Author: Munadir A. Ahmed % Date: 07/17/2014