This paper presents a novel Hall sensor–based methodology capable of simultaneously measuring rotary and translational positions for magnetic levitation systems and robotic joints. The sensing structure employs twelve low-cost Hall-effect sensors, arranged as four sets of three-phase sensors, to measure the radial magnetic flux generated by permanent magnets mounted on the moving part. By strategically placing the sensors in radial symmetry, differential information among the sensor sets is utilized to extract bothx–ytranslational displacements and the rotary angleθr. The proposed algorithm estimates positions using only simple addition and multiplication operations, with minimal signal filtering applied solely for noise suppression, resulting in nearly negligible phase delay. Using zero-sequence components derived from Clarke transformation, the method enables fast and accurate estimation of all three position components. The fabricated prototype achieves a rotary range of 0 to 2π and a translational range of ±3 mm along bothx- andy-axes, while maintaining a compact and low-cost configuration suitable for integrated multi-axis position sensing.

This article proposes a novel resonator structure for wireless power transfer (WPT) in autonomous vehicle seat applications. The proposed WPT system employs helical coils for both the transmitter and receiver (RX), achieving a high coupling coefficient exceeding 0.5 across a substantial RX movement range. To mitigate the complexity of the system due to RX movement, an$M$-uniform resonator with unequal turn spacing was developed using a genetic algorithm based on theoretical analysis. While the RX was moving, the proposed$M$-uniform resonator reduced the receiving-side voltage and current variations to 5.8% and 4.4%, respectively. This represents a significant improvement over the 34.1% and 37.0% observed in conventional coil designs with equal turn spacing. Additionally, the proposed system maintained a total system efficiency above 85% over the entire RX movement range, demonstrating its suitability for dynamic WPT applications without the need for RX position detection systems. In conclusion, the proposed resonator overcomes the tangling and reliability issues of traditional power cables, enabling flexible seat movement in future autonomous vehicles to optimize their interior space.