Determining the position of a movable component relative to a stationary component

A movement arrangement with at least one movable component which is arranged movably relative to a stationary component, comprising:

• an array of a plurality of position magnets with a pole pitch is arranged on the at least one movable component;
• and
• an arrangement with a plurality of position sensors with a sensor pitch is arranged on the stationary component,
• wherein, via one of the plurality of the position sensors, a magnetic field of one of the plurality of the position magnets in a region of the one position sensor is detectable in a form of a sensor response;
• a computing unit is configured to process sensor responses from position sensors to determine a position of the movable component relative to the stationary component,
• wherein, for a group of position sensors considered for position determination in the region of the movable component, the computing unit detects the sensor response;
• a memory unit is configured to store a sensor model, which, for the at least one movable component and a position sensor, supplies sensor model responses as a function of a relative position of the movable component relative to the position sensor,
• wherein for a plurality of assumed different relative positions of the movable component relative to the stationary component, the computing unit determines sensor model responses of the group of position sensors with the sensor model,
• wherein the computing unit is configured to compare the sensor model responses with the sensor responses detected by the group of position sensors, and
• wherein the computing unit is configured to determine at least one of:
• a relative position of the movable component from the plurality of assumed different relative positions with a smallest deviation between the sensor model responses from the sensor model and the detected sensor responses, or
• a relative position of the movable component or an absolute position of the movable component related to a stationary reference point from the determined relative position of the movable component from the plurality of assumed different relative positions with the smallest deviation between the sensor model responses from the sensor model and the detected sensor responses.