METHODS AND SYSTEMS FOR DETECTING A ROTOR POSITION AND ROTOR SPEED OF AN ALTERNATING CURRENT ELECTRICAL MACHINE

A method for determining rotor characteristic of an alternating current (AC) electrical machine includes obtaining a reference voltage signal, one or more phase currents, and rotor data. The method includes determining orthogonal components of an extended back electromotive force (BEMF) model of the AC electrical machine based on the reference voltage signal, the one or more phase current characteristics, and the rotor data. The method includes determining a product of the orthogonal components of the extended BEMF model. The method includes determining a squared-magnitude of the orthogonal components of the extended BEMF mode. The method includes determining the rotor characteristic of the AC electrical machine based on the product of the orthogonal components and the squared-magnitude of the orthogonal components.