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3-hepresent the block diagram of the DC motor. In order to improve the added through 0 R(s) + performances of the DC motor, a feedback system as shown in the figure below. E кр Kp (1+as) (1+bs) the steady State Eu (s) propostional Controller is G (3) 5. (5) Considering that the transfer function of the DC motor is given by Gis) = where α=0.1 and b= 1 4- Determine the close loop transfer function and the characteristic equation of the Controlled motor. 5- If the transfer function of the open loop controlled motor is given by H(s) = . use the theory of the final value to determine a unit step and a unit ramp 1 (1+as)(1+bs) error when input is respectively. 6- Determine the value of Kp for which the poles of the system have a factor 7- Determine the percent maximum overshoot for a unit stop input. Provide the shape of the temporal response of the system damping 8- Represent the bode diagram of the open Loop for Kp = 10 9- Represent the Nyquist diagram of the system and discuss their stability according to Kp.

3-hepresent the block diagram of the DC motor. In order to improve the added through 0 R(s) + performances of the DC motor, a feedback system as shown in the figure below. E кр Kp (1+as) (1+bs) the steady State Eu (s) propostional Controller is G (3) 5. (5) Considering that the transfer function of the DC motor is given by Gis) = where α=0.1 and b= 1 4- Determine the close loop transfer function and the characteristic equation of the Controlled motor. 5- If the transfer function of the open loop controlled motor is given by H(s) = . use the theory of the final value to determine a unit step and a unit ramp 1 (1+as)(1+bs) error when input is respectively. 6- Determine the value of Kp for which the poles of the system have a factor 7- Determine the percent maximum overshoot for a unit stop input. Provide the shape of the temporal response of the system damping 8- Represent the bode diagram of the open Loop for Kp = 10 9- Represent the Nyquist diagram of the system and discuss their stability according to Kp.

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
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Exercise: The DC motor System in the figure below is a separately excited DC motor, which is often used to the velocity turning and position adjustment. ha if + la La * because mon La ede of the Trow back electromagnetic force, ly is proportional to Speed e₂ = K₂ = K₂u(t) * making use of Kichoffs circuit law Ca(t1= Raid) + La = Jd²0(4) dt² a where haamarture resistance, ky: electrostatic force constant, Lo amature inductance, Kr: Torque constant, In camartare current, if field Current = Input voltage, eb: back electromagnetic force, Tm = motor or mechanical torque • ungular relocity J: rotating inectic. . W & From Newton's low, the torque can be obtained as Bdo (t) = Kia (t) dt + R(s) + doen dt E dict dt -Based on the above equations, 1- Determine the Laplace transform of each of them 2. Determine the open loop transfer function of the DC motor G(s) = √12 (5) Eu (s) 3-Represent the block diagram of the DC motor. In order to improve the performances of the DC motor, a proportional Controller is the figure below. added through feedback System as shown in Kp + eb(t) 52 (3) 27 Considering that the trans for function of the DC motor is given by Gisl= "Eu (s) w there fore we havde G (G) 1 (1+as)(1+bs)
Transcribed Image Text:Exercise: The DC motor System in the figure below is a separately excited DC motor, which is often used to the velocity turning and position adjustment. ha if + la La * because mon La ede of the Trow back electromagnetic force, ly is proportional to Speed e₂ = K₂ = K₂u(t) * making use of Kichoffs circuit law Ca(t1= Raid) + La = Jd²0(4) dt² a where haamarture resistance, ky: electrostatic force constant, Lo amature inductance, Kr: Torque constant, In camartare current, if field Current = Input voltage, eb: back electromagnetic force, Tm = motor or mechanical torque • ungular relocity J: rotating inectic. . W & From Newton's low, the torque can be obtained as Bdo (t) = Kia (t) dt + R(s) + doen dt E dict dt -Based on the above equations, 1- Determine the Laplace transform of each of them 2. Determine the open loop transfer function of the DC motor G(s) = √12 (5) Eu (s) 3-Represent the block diagram of the DC motor. In order to improve the performances of the DC motor, a proportional Controller is the figure below. added through feedback System as shown in Kp + eb(t) 52 (3) 27 Considering that the trans for function of the DC motor is given by Gisl= "Eu (s) w there fore we havde G (G) 1 (1+as)(1+bs)
3-hepresent the block diagram In order to improve the performances of the DC motor, added through a R(s) + E 6- feedback system as shown in the figure below. кр the DC motor. "Eu (s) Kp (1+as) (1+bs) the steady State a G (G) proportional Controller is Considering that the transfer function of the DC motor is given by Gist= where α=0.1 and b=1 4- Determine the close loop transfer function and the characteristic equation of the Controlled motor. 52 (5) 5- If the transfer function of the open loop controlled motor is given by H(³) = • Use the theory of the final value to determine 1 (1+as )(1+bs) error when input is respectively a unit stop and a unit ramp Determine the value of Kp for which the poles of the system have a damping factor 7- Determine the percent maximum overshoot for a unit stop input. Provide the shape of the temporal response of the system 8- Represent the bode diagram of the open loop for Kp=10 9- Represent the Nyquist diagram of the system and discuss itheir stability according to Kp.
Transcribed Image Text:3-hepresent the block diagram In order to improve the performances of the DC motor, added through a R(s) + E 6- feedback system as shown in the figure below. кр the DC motor. "Eu (s) Kp (1+as) (1+bs) the steady State a G (G) proportional Controller is Considering that the transfer function of the DC motor is given by Gist= where α=0.1 and b=1 4- Determine the close loop transfer function and the characteristic equation of the Controlled motor. 52 (5) 5- If the transfer function of the open loop controlled motor is given by H(³) = • Use the theory of the final value to determine 1 (1+as )(1+bs) error when input is respectively a unit stop and a unit ramp Determine the value of Kp for which the poles of the system have a damping factor 7- Determine the percent maximum overshoot for a unit stop input. Provide the shape of the temporal response of the system 8- Represent the bode diagram of the open loop for Kp=10 9- Represent the Nyquist diagram of the system and discuss itheir stability according to Kp.
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