An advanced, mathematically rigorous simulation engine modeling a high-power Permanent Magnet Synchronous Motor (PMSM) driven by Field-Oriented Control (FOC) vector space topologies and decoupled state-space differential integration. Built entirely from raw physical equations without reliance on black-box graphical simulation toolboxes.
Below is the verified transient step-response performance graph generated over a
-
Velocity Tracking Optimization: The rotor velocity smoothly matches the step-commands (
$100 \text{ rad/s} \rightarrow 180 \text{ rad/s} \rightarrow 120 \text{ rad/s}$ ) with zero steady-state error. The curve profile cleanly demonstrates realistic mechanical rotor inertia ($J$ ). -
Dynamic Torque Coupling: The electromagnetic torque (
$T_e$ ) instantly spikes during acceleration steps to counter inertial resistance, subsequently settling precisely to clear the applied mechanical load profiles ($T_L$ ). -
Regenerative Braking Phase: At
$t = 0.35\text{ s}$ , when the speed target drops to$120 \text{ rad/s}$ , the torque vector transitions into negative bounds. This models authentic kinetic-to-electrical energy recovery through regenerative deceleration. -
Decoupled Vector Space Validation: The stator current vector space is perfectly constrained. The flux-producing current (
$i_d$ ) is pinned tightly to$0\text{ A}$ , validating the execution of a maximum torque-per-ampere strategy, while the torque-producing current ($i_q$ ) dynamically handles the vehicle's real-time power demands.
The codebase follows professional software engineering practices, prioritizing deep modular isolation across the powertrain blocks:
ev-pmsm-foc-drive/
├── README.md # Comprehensive system documentation & physics framework
├── requirements.txt # Environment dependencies
├── notebooks/
│ └── pmsm_foc_simulation.ipynb # Interactive execution workspace
└── src/ # High-fidelity modular source code
├── __init__.py # Package manifest
├── motor_model.py # State-space continuous ODE motor engine
├── controllers.py # Clarke/Park transformations & anti-windup PI blocks
└── inverter.py # SVPWM duty cycle & sector switching synthesis