This paper examines the modeling and behavior of two forms of electromagnetic coupling with a linear oscillator. With coupling as either a linear or a nonlinear term dependent on position, analytical results were derived and numerical simulations performed for the mechanical and electrical system response. Analytical models were found to correlate well with their respective simulations. Linear coupling showed wider power bandwidth at certain excitation levels and higher theoretical power output than nonlinear beyond an excitation threshold. Nonlinear models showed increasingly complex harmonic current response at high excitation amplitudes and increased peak power at low amplitude excitation levels for certain offset coil positions.

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