A reluctance machine consists of a passive rotor and a stator with a single wind

Question

A reluctance machine consists of a passive rotor and a stator with a single winding of N = 100. Suppose that the total reluctance of the machine is given by R(theta)= 30 - 20 cos 4 theta (A/wb) with a rotating angle theta. (a) Determine the stator winding current i such that the rotor can be balanced with a load torque T_L = 20 Squareroot 3 in N middot m at an equilibrium position theta = 30 degree; (b) Find the energy W_m stored in the system at the equilibrium position in (a); (c) If the current of the stator is i = 12 cos 200 t, find the machine rotating speed omega_m.

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