Non-dimensional control for robust vibration attenuation during acceleration in coaxial magnetic gears

Abstract A significant challenge in the operation of coaxial magnetic gears is slippage during acceleration, which can introduce vibration due to oscillatory dynamics. These vibrations can threaten the structural integrity of CMGs, highlighting the need to minimize oscillations for effective performance. However, despite its importance, the reduction of transient oscillations has not been investigated in the literature. In this work, a new control method combining PID control and the Lyapunov control function is proposed to provide an efficient and robust response in CMGs during acceleration and deceleration. The governing equations were non-dimensionalized, allowing the control method to adapt to various CMG configurations, loads, and acceleration profiles. Realistic conditions are simulated by incorporating discrete control, external load fluctuations, and measurement errors. Extensive simulations confirm that the proposed control method enables CMGs to quickly reach desired states while reducing oscillations effectively. Furthermore, the impact of sampling time on control response is evaluated to establish conditions that ensure robust CMG operation. As a result, this research introduces a non-dimensional control strategy that could significantly enhance CMG design by mitigating operational drawbacks associated with oscillatory behaviour, improving reliability and stability in practical applications.