Controlling the Generator in a Series of Hybrid Electric Vehicles Using a Positive Position Feedback Controller

Abstract

This study investigates the effectiveness of positive position feedback (PPF) in reducing vibration amplitudes in an electric vehicle generator, specifically at super harmonic resonance (SHR) with 1:1 Internal Resonance (IR). Here is a breakdown. Simplified Model: The study uses a simplified nonlinear dynamic model (one degree of freedom, up to fifth-order nonlinear components) with external force, analyzed using the Multiple Time Scales Method (MTSM) with a first-order approximation. Focus on Resonance: The primary focus is on understanding the system’s behavior at SHR with 1:1 IR and how PPF can mitigate vibrations in this specific scenario. Frequency Response and Controller Influence: Frequency response functions are used to analyze the system’s stability with PPF, examining how different controller parameters affect the main system’s dynamics. Validation: Numerical solutions, obtained using the fourth-order Runge–Kutta method (‘RK-4’), are used to demonstrate and evaluate the system’s amplitude with and without PPF. The analytical and numerical results show strong agreement, validating the model’s accuracy. In essence, the research explores using PPF as a vibration control strategy in a specific resonance condition within an electric vehicle generator, using a combination of analytical and numerical methods for analysis and validation.