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The formula used to compute the rotor position of a Permanent Magnet Synchronous Machine from the stator voltages and currents in alpha, beta reference frame is attached as an image. enter image description here

In the integration step, what should the initial values of the fluxes in the alpha, beta frames be? and how to find these values? The tan inverse function can be implemented using atan2 block in Simulink to obtain the angle as a 4 quadrant value.

If I have gone wrong somewhere in the formula please correct me. Also if there is an easier way to estimate the rotor position please suggest it as well.

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