Final answer:
The self-inductance and mutual inductance of coils can be determined based on measured data without a load and with a locked rotor. Equations L = NΦm/I and M = Φ₂/ I₁ can be used to calculate the values.
Step-by-step explanation:
The parameters of the magnetization branch, (R_m) and (L_m), can be determined based on measured data without a load. The total resistance, (R_1 R_2), and inductance of the coils (L_1 L_2) can be identified based on the measured data with a locked rotor and the nominal mechanical power.
The self-inductance (L) of an inductor can be calculated using the equation L = NΦm/I, where N is the number of turns of the coil and Φm is the magnetic flux through each turn of the coil. The mutual inductance (M) between two coils can be calculated using the equation M = Φ₂/ I₁, where Φ₂ is the flux through the turns of coil 2 produced by the magnetic field of the current in coil 1, and I₁ is the current in coil 1.
In order to determine the parameters and values mentioned in the question, specific data and calculations related to the measurements would be needed.