Hybrid Swarm Algorithms for Parameter Identification of an Actuator Model in an Electrical Machine

Table 1

Parameters in the electromechanical model.

Parameter	Unit	Explanation
𝑅𝑐	mΩ	The resistance of the control winding.
𝐿𝑐	mH	The inductance of the control winding.
𝑘𝑐𝐵^∗1	N/(A⋅m)	The eccentricity coupling factor of the control winding multiplied with the complex conjugate of the first air-gap field harmonic [34].
𝑀𝑟,𝑐,2𝑀𝑐,𝑟,2	mH	Mutual inductance of rotor cage and control winding multiplied by itself and divided by rotor cage inductance of four-pole harmonic (𝑀𝑐,𝑟,2⋅𝑀𝑐,𝑟,2/𝐿𝑟,2).
𝛾𝑟,2	1/s	𝑅𝑟,2𝑀𝑐,𝑟,2/𝐿𝑟,2, where 𝑅𝑟,2 is the rotor cage resistant of 4-pole harmonic.
𝑋𝑐,𝜖,2𝐵1	Wb/m	The eccentricity coupling factor of control winding multiplied with first air-gap field harmonic.
𝛼	T^2	A coefficient related to the unbalanced magnetic pull towards the shortest air-gap (gap between stator and rotor) [33].
𝑘𝑟,2𝐵^∗1/𝑀𝑟,𝑐,2	N/(m⋅Wb)	The coupling factor of rotor cage multiplied with the complex conjugate of the first air-gap field harmonic and divided by rotor cage inductance of four-pole harmonic.
𝑋𝑟,𝜖,2𝐵1/𝑀𝑟,𝑐,2	Wb/m	The eccentricity coupling factor of rotor cage four-pole harmonic multiplied with the first air-gap field harmonic and divided by rotor cage inductance of four-pole harmonic.