we used steady-state analysis to assess the design of a motor. However, steady-state analysis can be...

  

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we used steady-state analysis to assess the design of a motor. However, steady-state analysis can be misleading, since it does not account for the dynamics of the system. To demonstrate how important it can be to consider the dynamics of a system, assume the parameter values of a particular armature-controlled motor are: K₁= K = 0.05 N·m/A, c=1×10 N·m-s/rad, R = 0.50, L = 2×10 ³H, I = 9×10 kg⋅m². t a Note that the values for the viscous damping c and the mass moment of inertia I represent the motor and the load. For this problem, we will be analyzing the current to a motor with very little load torque and therefore we will assume the load torque is zero, T, = 0N.m. TL a) Assuming steady-state, calculate the no-load current for an applied voltage of v = = 10V. b) Use Simulink to plot the step response of the armature current i, if the applied voltage is a v=10V with zero initial conditions. Determine the peak value of armature current from a this step response. You can use any method to model the system in Simulink, but a State- Space block may be the easiest option. c) How many times larger is the peak armature current compared to the steady-state current from part a)? we used steady-state analysis to assess the design of a motor. However, steady-state analysis can be misleading, since it does not account for the dynamics of the system. To demonstrate how important it can be to consider the dynamics of a system, assume the parameter values of a particular armature-controlled motor are: K₁= K = 0.05 N·m/A, c=1×10 N·m-s/rad, R = 0.50, L = 2×10 ³H, I = 9×10 kg⋅m². t a Note that the values for the viscous damping c and the mass moment of inertia I represent the motor and the load. For this problem, we will be analyzing the current to a motor with very little load torque and therefore we will assume the load torque is zero, T, = 0N.m. TL a) Assuming steady-state, calculate the no-load current for an applied voltage of v = = 10V. b) Use Simulink to plot the step response of the armature current i, if the applied voltage is a v=10V with zero initial conditions. Determine the peak value of armature current from a this step response. You can use any method to model the system in Simulink, but a State- Space block may be the easiest option. c) How many times larger is the peak armature current compared to the steady-state current from part a)?

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To solve this problem we will follow these steps a Calculate the noload current for an applied voltage of Va 10V using steadystate analysis b Use Simu... View the full answer