A doubly-fed actuator has two windings with current ₁ at the stator and current i2 at the rotor as shown in the figure b

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A Doubly Fed Actuator Has Two Windings With Current At The Stator And Current I2 At The Rotor As Shown In The Figure B 1 (277.02 KiB) Viewed 49 times

A doubly-fed actuator has two windings with current ₁ at the stator and current i2 at the rotor as shown in the figure below. Its mechanical output is the angular displacement between the stator magnetic axis and rotor magnetic axis. The inputs are the two electrical voltage sources 1 and 2. The electromagnetic torque developed by the actuator is T, its load torque is Tload, and J is its moment of inertia. The flux linkages and induced voltages at the windings are respectively A₁, A2 and e₁, e2. The self and mutual inductances of the windings are respectively L₁ (0), L2 (0) and L12 (0). The energy stored in the electromagnetic field of the system is Wƒ (0). Assuming the core is magnetically linear, choose the correct statement. Spring Electrical source 1 A₁, ₁ Tload Rotor i₂ Stator O The electromechanical system has a state-space model of order n = 2 with two state variables, i.e. currents and ₁ and 22. O The energy can be obtained as Wƒ (0) = 0.5[L₁ (0)i² + L2 (0)i² + L12 (0)i1i2] O The motion equation of the system is dW; (0) do d²0 Tload J dt² O The energy can be obtained as Wƒ (0) = 0.5[L₁ (0)i² + L2 (0)i² — 2L12 (0)i1i2] O Since the core is magnetically linear, the dynamic model of the electromechanical system should be linear. A₂0 €₂ Electrical source 2