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A doubly-fed actuator has two windings with current i, at the stator and current i 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 W₁ (0). Assuming the core is magnetically linear, choose the correct statement. Spring Electrical source 1 Ape Tload Rotor 1₂ Stator O The electromechanical system has a state-space model of order n = 2 with two state variables, i.e. currents and i₁ and 2. O The energy can be obtained as W₁ (0) = 0.5[L₁ (0)i + L2 (0) i3- 2L12 (0)i1i2] O Since the core is magnetically linear, the dynamic model of the electromechanical system should be linear. O The energy can be obtained as Wf(0) = 0.5[L₁ (0)² + L₂ (0)i + L12 (0)i1i2] O The motion equation of the system is Tload Je dWf (0) do dt² A₂. 2 Electrical source 2

A doubly-fed actuator has two windings with current i, at the stator and current i 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 W₁ (0). Assuming the core is magnetically linear, choose the correct statement. Spring Electrical source 1 Ape Tload Rotor 1₂ Stator O The electromechanical system has a state-space model of order n = 2 with two state variables, i.e. currents and i₁ and 2. O The energy can be obtained as W₁ (0) = 0.5[L₁ (0)i + L2 (0) i3- 2L12 (0)i1i2] O Since the core is magnetically linear, the dynamic model of the electromechanical system should be linear. O The energy can be obtained as Wf(0) = 0.5[L₁ (0)² + L₂ (0)i + L12 (0)i1i2] O The motion equation of the system is Tload Je dWf (0) do dt² A₂. 2 Electrical source 2

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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A doubly-fed actuator has two windings with current is at the stator and current i 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 W, (0). Assuming the core is magnetically linear, choose the correct statement. Spring Electrical source 1 Electrical source 2 A₁.₁ Tload, Rotor Stator- O The electromechanical system has a state-space model of order n = 2 with two state variables, i.e. currents and ₁ and 12. O The energy can be obtained as W₁ (0) = 0.5[L₁ (0)i + L2 (0) i3 - 2L12 (0)i1i2] O Since the core is magnetically linear, the dynamic model of the electromechanical system should be linear. O The energy can be obtained as W₁ (0) = 0.5[L1 (0)i + L2 (0)i + L12 (0)i1i2] O The motion equation of the system is dWf (0) Tload J d²0 dt² do Az, lz
Transcribed Image Text:A doubly-fed actuator has two windings with current is at the stator and current i 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 W, (0). Assuming the core is magnetically linear, choose the correct statement. Spring Electrical source 1 Electrical source 2 A₁.₁ Tload, Rotor Stator- O The electromechanical system has a state-space model of order n = 2 with two state variables, i.e. currents and ₁ and 12. O The energy can be obtained as W₁ (0) = 0.5[L₁ (0)i + L2 (0) i3 - 2L12 (0)i1i2] O Since the core is magnetically linear, the dynamic model of the electromechanical system should be linear. O The energy can be obtained as W₁ (0) = 0.5[L1 (0)i + L2 (0)i + L12 (0)i1i2] O The motion equation of the system is dWf (0) Tload J d²0 dt² do Az, lz
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