Abstract
This paper proposes an analytical expression set to determine the maximum values of currents and voltages in the Class-E Power Amplifier (PA) with Finite DC-Feed Inductance (FDI) under the following assumptions—ideal components (e.g., inductors and capacitors with infinite quality factor), a switch with zero rise and fall commutation times, zero on-resistance, and infinite off-resistance, and an infinite loaded quality factor of the output resonant circuit. The developed expressions are the average supply current, the RMS (Root Mean Square) current through the DC-feed inductance, the peak voltage and current in the switch, the RMS current through the switch, the peak voltages of the output resonant circuit, and the peak voltage and current in the PA load. These equations were obtained from the circuit analysis of this ideal amplifier and curve-fitting tools. Furthermore, the proposed expressions are a useful tool to estimate the maximum ratings of the amplifier components. The accuracy of the expressions was analyzed by the circuit simulation of twelve ideal amplifiers, which were designed to meet a wide spectrum of application scenarios. The resulting Mean Absolute Percentage Error (MAPE) of the maximum-rating constraints estimation was 2.64%.
Highlights
This paper proposes a set of analytical expressions to determine the maximum values of the currents and voltages present in the components of the ideal Class-E Power Amplifier (PA) with Feed Inductance (FDI)
We propose an extension of the basic design set proposed by [8] with analytical expressions of the maximum values of currents and voltages of the PA components
The graph illustrated that the fitting error is not focalized in a specific region, which indicates a low discrepancy in the overall design space between fitted values and the values expected under the ideal Class-E PA with FDI model
Summary
In [8], the authors proposed an analytical methodology to design the ideal Class-E PA with FDI without the fixed duty cycle restriction They reported a systematic method to explore the search space of the proposed model in [6] using a MapleTM implementation (which is available online [8]). These mathematical expressions are developed based on the model proposed in [6] and extended in [7], and they could be integrated into the design methodology proposed in [8].
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