A representative phase-shift based method for using a transformer system to detect movement of an object, and associated systems and methods are disclosed. A representative transformer system detects movement of an object and includes an excitation coil configured to receive an excitation coil input signal that results from an input sinusoidal signal. The transformer further includes first and second sensing coils, and a core configured to be operatively coupled to the object. The core moves relative to the first and second sensing coils when the object moves. First and second impedance loads are connected to the first and second sensing coils, respectively. The two impedance loads have different phase-shifting characteristics. A phase-shift sensing circuit determines a phase-shift between the excitation coil input signal and the input sinusoidal signal that is correlated with a position of the core relative to the first and second sensing coils.

A plurality of teeth are provided to protrude in staggered arrangement in an annular core in a circumferential direction, coils are respectively wound around the respective teeth, and when the respective coils are energized, corresponding teeth are excited to thereby form a plurality of magnetic circuits having an inclination of +45 degrees or −45 degrees with respect to an axial center direction of an object to be detected between the teeth and the facing object to be detected.

A rotary variable differential transformer for measuring angular displacement and method of manufacturing the same are provided herein. The rotary variable differential transformer includes a stator configured to house a primary coil configured to receive an alternating current, a first secondary coil electromagnetically coupled to the primary coil, and a second secondary coil electromagnetically coupled to the primary coil. The rotary variable differential transformer also includes a rotor positioned concentrically within the stator. The rotor is configured to receive a shaft and rotate with the shaft while the stator remains stationary. The primary coil is positioned at a first radial position within the stator spaced between about 90 to 150 degrees from each of the first secondary coil and the second secondary coil.

System and methods for accuracy improvement of an LVDT are provided. Aspects include determining a first voltage from the first PGA and a second voltage from the second PGA, wherein the first voltage is determined from a PGA coupled to a first secondary winding, and wherein the second voltage is determined from a second PGA coupled to a second secondary winding, iteratively performing: analyzing the first voltage to determine a gain correction is needed for a first gain for the first PGA, the gain correction comprising change to the first gain, and analyzing the second voltage to determine a gain correction is needed for a second gain for the second PGA, the gain correction comprising change to the second gain, based on determining a gain correction is not needed for the first gain and the second gain, calculating a position based on the first voltage and the second voltage.

System and methods for accuracy improvement of an LVDT are provided. Aspects include determining a first voltage from the first PGA and a second voltage from the second PGA, wherein the first voltage is determined from a PGA coupled to a first secondary winding, and wherein the second voltage is determined from a second PGA coupled to a second secondary winding, iteratively performing: analyzing the first voltage to determine a gain correction is needed for a first gain for the first PGA, the gain correction comprising change to the first gain, and analyzing the second voltage to determine a gain correction is needed for a second gain for the second PGA, the gain correction comprising change to the second gain, based on determining a gain correction is not needed for the first gain and the second gain, calculating a position based on the first voltage and the second voltage.

An adjustable inductor including a core defining a plurality of gaps, a material positioned in the gaps, at least one winding wound on the core, a force-applying structure, and a film substantially covering the adjustable inductor. The force-applying structure is operable to apply a force to the core to adjust the gaps and thereby an inductance of the adjustable inductor. The film is configured to prevent movement of force-applying structure when below a predetermined temperature threshold, and allow movement of the force-applying structure when above the predetermined threshold.

A rotary variable differential transformer for measuring angular displacement and method of manufacturing the same are provided herein. The rotary variable differential transformer includes a stator configured to house a primary coil configured to receive an alternating current, a first secondary coil electromagnetically coupled to the primary coil, and a second secondary coil electromagnetically coupled to the primary coil. The rotary variable differential transformer also includes a rotor positioned concentrically within the stator. The rotor is configured to receive a shaft and rotate with the shaft while the stator remains stationary. The primary coil is positioned at a first radial position within the stator spaced between about 90 to 150 degrees from each of the first secondary coil and the second secondary coil.

A representative phase-shift based method for using a transformer system to detect movement of an object, and associated systems and methods are disclosed. A representative transformer system detects movement of an object and includes an excitation coil configured to receive an excitation coil input signal that results from an input sinusoidal signal. The transformer further includes first and second sensing coils, and a core configured to be operatively coupled to the object. The core moves relative to the first and second sensing coils when the object moves. First and second impedance loads are connected to the first and second sensing coils, respectively. The two impedance loads have different phase-shifting characteristics. A phase-shift sensing circuit determines a phase-shift between the excitation coil input signal and the input sinusoidal signal that is correlated with a position of the core relative to the first and second sensing coils.

A method for manufacturing a device having a three-dimensional magnetic structure includes applying or introducing magnetic particles onto or into a carrier element. A plurality of at least partly interconnected cavities are formed between the magnetic particles, which contact one another at points of contact, by coating the arrangement of magnetic particles and the carrier. The cavities are penetrated at least partly by the layer generated when coating, resulting in the three-dimensional magnetic structure. A conductor loop arrangement is provided on the carrier or a further carrier. When a current flows through the conductor loop, an inductance of the conductor loop is changed by the three-dimensional magnetic structure, or a force acts on the three-dimensional magnetic structure or the conductor loop by a magnetic field caused by the current flow, or when the position of the three-dimensional magnetic structure is changed, a current flow is induced through the conductor loop.

A noise filter includes a magnetic core including a magnetic material; and a distance adjusting member that accepts adjustment of a distance between a loop portion and the magnetic core, the loop portion being a portion of one or more conductor wiring lines wired in loop shape out of a first conductor wiring line and a second conductor wiring line.