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Controlling the Permanent Magnet Synchronous Motor (PMSM) can be challenging due to the nonlinearity of its dynamics, which makes it difficult to design control strategies that are both robust and effective. To address this challenge, this paper presents a novel control strategy rooted in the concept of passivity that combines field‐oriented control (FOC). This strategy compels the PMSM to accurately follow velocity and electrical torque trajectories. The approach, known as passivity‐based control (PBC), entails reshaping the inherent system energy while introducing the necessary damping to attain the desired objectives. A crucial aspect involves identifying workless force terms within the process model. Despite their presence, these terms do not impact the energy balance and stability properties. As a result, eliminating these terms is unnecessary. This simplicity in control architecture not only preserves system stability but also bolsters overall robustness. The system's overall stability and the current tracking error's exponential convergence have both been demonstrated analytically. In order to maintain stability, the controller accounts for the nonlinearities of the plant and approximates the unstructured dynamics of the PMSM. The proposed control is designed using the dq model of the PMSM, which avoids the model's structure destruction due to singularities, since the dq model does not depend explicitly on the rotor angular position. Experimental results shown further, illustrate speed and position control with a desired pair calculated by a filter or a proportional‐integral (PI) controller for speed control and a proportional‐integral‐derivative (PID) controller for position control. Also the correlation between practical and theoretical results is given as well as the robustness test in relation to the uncertainties of the PMSM's inertia moment. The results demonstrates the effectiveness of the proposed strategy in controlling the PMSM under different operating conditions, highlighting its potential for industrial applications. [ABSTRACT FROM AUTHOR]

Summary: In this work, a capacitor‐less self‐resonating coil‐based induction heating (IH) system with magnetic resonant coupling has been proposed. In the conventional heating system, the inclusion of additional capacitor for creating the resonance results in poor efficiency of overall system. To overcome this issue, a bifilar coil system is implemented, which leads to series resonance at a particular frequency. The key mechanism is self‐resonance wireless power transfer concept to IH system; hence, no capacitor is needed in the system. The coil has a series association of the coil inductance and capacitance at the resonant operating condition. A mathematical modeling and steady state analysis is performed for the conventional (solenoidal) coil and bifilar coil to estimate the actual value of the capacitance and inductance of the coil. The performance of the bifilar coil system is tested through COMSOL multiphysics simulation tool and parameters like eddy current, magnetic flux, and temperature distribution in the work piece are analyzed. The experimental setup of the bifilar coil‐aided IH system is implemented with PIC16F877A microcontroller, and FLIR thermal imager is used to analyze the temperature distribution on the work piece. The experimental results are compared with the simulation results, and the bifilar coil system provides a promising solution. [ABSTRACT FROM AUTHOR]