Accuracy improvement in linear variable differential transformer based position measurements

A system comprising:

• a transformer comprising a plurality of secondary windings, the plurality of secondary windings comprising a first secondary winding and a second secondary winding;
• a first programmable-gain amplifier (PGA) coupled to the first secondary winding;
• a second programmable-gain amplifier (PGA) coupled to the second secondary winding;
• and
• a controller configured to:
• determining a first voltage from the first PGA and a second voltage from the second PGA;
• iteratively perform:
• analyzing the first voltage to determine a gain correction is needed for a first gain for the first PGA, wherein the gain correction comprises a 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, wherein the gain correction comprises a change to the second gain;
• based on a determination that a gain correction is not needed for the first gain and the second gain, calculate a position measurement based on the first voltage and the second voltage.