96 lines
4.3 KiB
Mathematica
96 lines
4.3 KiB
Mathematica
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%% Parameters for Electric Engine Dyno Example
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% This example shows how to model an electric vehicle dynamometer test.
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% The test environment contains an asynchronous machine (ASM) and an
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% interior permanent magnet synchronous machine (IPMSM) connected back-
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% to-back through a mechanical shaft. Both machines are fed by high-
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% voltage batteries through controlled three-phase converters. The 164 kW
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% ASM produces the load torque. The 35 kW IPMSM is the electric machine
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% under test. The Control Machine Under Test (IPMSM) subsystem controls the
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% torque of the IPMSM. The controller includes a multi-rate PI-based
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% control structure. The rate of the open-loop torque control is slower
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% than the rate of the closed-loop current control. The task scheduling
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% for the controller is implemented as a Stateflow(TM) state machine. The
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% Control Load Machine (ASM) subsystem uses a single rate to control the
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% speed of the ASM. The Visualization subsystem contains scopes that
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% allow you to see the simulation results.
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% Copyright 2016-2017 The MathWorks, Inc.
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%% Machine Parameters
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Pmax = 35000; % Maximum power [W]
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Tmax = 205; % Maximum torque [N*m]
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Ld = 0.00024368; % Stator d-axis inductance [H]
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Lq = 0.00029758; % Stator q-axis inductance [H]
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L0 = 0.00012184; % Stator zero-sequence inductance [H]
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Rs = 0.010087; % Stator resistance per phase [Ohm]
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psim = 0.04366; % Permanent magnet flux linkage [Wb]
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p = 8; % Number of pole pairs
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%% High-Voltage Battery Parameters
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Cdc = 0.001; % DC-link capacitor [F]
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Vnom = 325; % Nominal DC voltage[V]
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V1 = 300; % Voltage V1(< Vnom)[V]
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%% PMSM Control Parameters
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Ts = 1e-5; % Fundamental sample time [s]
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fsw = 10e3; % PMSM drive switching frequency [Hz]
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Tsi = 1e-4; % Sample time for current control loops [s]
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Kp_id = 0.8779; % Proportional gain id controller
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Ki_id = 710.3004; % Integrator gain id controller
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Kp_iq = 1.0744; % Proportional gain iq controller
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Ki_iq = 1.0615e+03; % Integrator gain iq controller
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%% Zero-Cancellation Transfer Functions
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numd_id = Tsi/(Kp_id/Ki_id);
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dend_id = [1 (Tsi-(Kp_id/Ki_id))/(Kp_id/Ki_id)];
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numd_iq = Tsi/(Kp_iq/Ki_iq);
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dend_iq = [1 (Tsi-(Kp_iq/Ki_iq))/(Kp_iq/Ki_iq)];
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%% Current References
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load pe_ipmsm_35kW_ref_idq;
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%% ASM Parameters
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Pn = 164e3; % Nominal power [W]
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Vn = 550; % rms phase-to-phase rated voltage [V]
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fn = 60; % Rated frequency [Hz]
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Rs2 = 0.0139; % Stator resistance [pu]
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Lls = 0.0672; % Stator leakage inductance [pu]
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Rr = 0.0112; % Rotor resistance, referred to the stator side [pu]
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Llr = 0.0672; % Rotor leakage inductance, referred to the stator side [pu]
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Lm = 2.717; % Magnetizing inductance [pu]
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Lr = Llr+Lm; % Rotor inductance [pu]
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Ls = Lls+Lm; % Stator inductance [pu]
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p2 = 2; % Number of pole pairs [pu]
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Vbase = Vn/sqrt(3)*sqrt(2); % Base voltage, peak, line-to-neutral [V]
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Ibase = Pn/(1.5*Vbase); % Base current, peak [A]
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Zbase = Vbase/Ibase; % Base resistance [Ohm]
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wbase = 2*pi*fn; % Base electrical radial frequency [rad/s]
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Tbase = Pn/(wbase/p2); % Base torque [N*m]
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Rss = Rs2*Zbase; % Stator resistance [Ohm]
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Xls = Lls*Zbase; % Stator leakage reactance [Ohm]
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Rrr = Rr*Zbase; % Rotor resistance, referred to the stator side [Ohm]
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Xlr = Llr*Zbase; % Rotor leakage reactance, referred to the stator side[Ohm]
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Xm = Lm*Zbase; % Magnetizing reactance [Ohm]
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%% ASM Control Parameters
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fsw2 = 2e3; % ASM drive switching frequency [Hz]
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Tsc = 1/(fsw2*5); % ASM control sample time [s]
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% ASM PI parameters
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Kp_ids = 1.08;
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Ki_ids = 207.58;
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Kp_imr = 52.22;
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Ki_imr = 2790.51;
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Kp_iqs = 1.08;
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Ki_iqs = 210.02;
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Kp_wr = 10;
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Ki_wr = 100;
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%% Coupling Parameters
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Jm = 0.1234; % Inertia [Kg*m^2]
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ce = 25; % Damping coefficient [N*m/(rad/s)]
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