Explicit Impedance Matching Network Design for High Frequency Power Amplifiers Based on the Möbius Transformation

This paper presents a novel impedance matching network (IMN) design method based on the Möbius transformation. This method enables the accurate control of impedance circular region and impedance trajectory mappings, making it suitable for high-frequency wireless power transfer (WPT) systems, high-frequency DC-DC converter, RF power amplifier and so on. In contrast to previous impedance matching methodologies, which have relied on empirical trial and error, impedance point traction based on Smith chart, the use of heuristic algorithms, the capacitance-inductance matrices, or the tunable matching network (TMN), this paper presents a novel approach for the design of T-IMN, which employs simply and explicit formulas to achieve an accurate mapping of the impedance circle and the impedance trajectory. The circular region and trajectory matching T-IMN were designed and the experimental result verified the correction of the IMN systematic design methodology.