Homework Help is Here – Start Your Trial Now!
Engineering
Electrical Engineering
1. Consider a de electric motor attached to a rotational load with moment of inertia J through a gear box with gear ratio N and subject to an external disturbance torque 74. Then, the equations of motion of the system are described by Jö(1)=NK_J(1)-T₂(1) L di(1) + Ri(1) = v(1)-NK_(1) dt where 0(1), 8(1), and (1) are the load angular position, velocity, and acceleration, respectively, J₁ = J + N²J is the equivalent moment of inertia referred to the load side, J is the rotor moment of inertia, v(1) is the armature input voltage, i() is the current flowing through the armature windings, R and I are the resistance and inductance of the rotor armature, respectively, and K is the back emf (back electromotive force) constant. a) Let the state variables be x₁ = 0, x₂ = 0 and x₂ =i. Construct the state model of the system when the desired output is the angular position of the load 0. b) For the specific values K = 0.05 Nm/A, R=1.22, L=0.05 H, J = 0.0008 kg-m², J=0.02 kg-m² and N = 12, simulate the behavior of the system for zero initial conditions, T, = 0 and input voltage described by v(1)=3 V, 0≤1≤2 seconds and v(1)=-3 V, 2 <1 ≤4 seconds, using the Isim command of Matlab and using Simul ink with ode45 and ode23t solvers with variable sampling. Compare the simulation results.

1. Consider a de electric motor attached to a rotational load with moment of inertia J through a gear box with gear ratio N and subject to an external disturbance torque 74. Then, the equations of motion of the system are described by Jö(1)=NK_J(1)-T₂(1) L di(1) + Ri(1) = v(1)-NK_(1) dt where 0(1), 8(1), and (1) are the load angular position, velocity, and acceleration, respectively, J₁ = J + N²J is the equivalent moment of inertia referred to the load side, J is the rotor moment of inertia, v(1) is the armature input voltage, i() is the current flowing through the armature windings, R and I are the resistance and inductance of the rotor armature, respectively, and K is the back emf (back electromotive force) constant. a) Let the state variables be x₁ = 0, x₂ = 0 and x₂ =i. Construct the state model of the system when the desired output is the angular position of the load 0. b) For the specific values K = 0.05 Nm/A, R=1.22, L=0.05 H, J = 0.0008 kg-m², J=0.02 kg-m² and N = 12, simulate the behavior of the system for zero initial conditions, T, = 0 and input voltage described by v(1)=3 V, 0≤1≤2 seconds and v(1)=-3 V, 2 <1 ≤4 seconds, using the Isim command of Matlab and using Simul ink with ode45 and ode23t solvers with variable sampling. Compare the simulation results.

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...
See similar textbooks
icon
Related questions
Question

please solve it....please

1. Consider a de electric motor attached to a rotational load with moment of inertia J through a gear box with gear ratio N and subject to an external disturbance torque Ta. Then, the equations of motion of the system are described by JÖ(1)=NK_J(1)-T₂(1) L di(1) + Ri(1)= v(1)-NK_o(1) dt where 0(1), 8(1), and ö(1) are the load angular position, velocity, and acceleration, respectively, J = J + N²J is the equivalent moment of inertia referred to the load side, J. is the rotor moment of inertia, v(1) is the armature input voltage, i(t) is the current flowing through the armature windings, R and L are the resistance and inductance of the rotor armature, respectively, and K. is the back emf (back electromotive force) constant. a) Let the state variables be x₁ = 0, x₂ = 0 and x3 =1. Construct the state model of the system when the desired output is the angular position of the load 0. b) For the specific values K = 0.05 Nm/A, R=1,2 2, L=0.05 H, J = 0.0008 kg-m², J = 0.02 kg-m² and N = 12, simulate the behavior of the system for zero initial conditions, T = 0 and input voltage described by v(1)=3 V, 0≤1≤2 seconds and v(1)=-3 V, 2 <1 ≤4 seconds, using the Isim command of Matlab and using Simulink with ode45 and ode23t solvers with variable sampling. Compare the simulation results.
Transcribed Image Text:1. Consider a de electric motor attached to a rotational load with moment of inertia J through a gear box with gear ratio N and subject to an external disturbance torque Ta. Then, the equations of motion of the system are described by JÖ(1)=NK_J(1)-T₂(1) L di(1) + Ri(1)= v(1)-NK_o(1) dt where 0(1), 8(1), and ö(1) are the load angular position, velocity, and acceleration, respectively, J = J + N²J is the equivalent moment of inertia referred to the load side, J. is the rotor moment of inertia, v(1) is the armature input voltage, i(t) is the current flowing through the armature windings, R and L are the resistance and inductance of the rotor armature, respectively, and K. is the back emf (back electromotive force) constant. a) Let the state variables be x₁ = 0, x₂ = 0 and x3 =1. Construct the state model of the system when the desired output is the angular position of the load 0. b) For the specific values K = 0.05 Nm/A, R=1,2 2, L=0.05 H, J = 0.0008 kg-m², J = 0.02 kg-m² and N = 12, simulate the behavior of the system for zero initial conditions, T = 0 and input voltage described by v(1)=3 V, 0≤1≤2 seconds and v(1)=-3 V, 2 <1 ≤4 seconds, using the Isim command of Matlab and using Simulink with ode45 and ode23t solvers with variable sampling. Compare the simulation results.
Expert Solution
steps

Step by step

Solved in 3 steps with 22 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Stability Analysis in Power System
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, electrical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
Electrical Engineering
ISBN:
9780133923605
Author:
Robert L. Boylestad
Publisher:
PEARSON
Delmar's Standard Textbook Of Electricity
Delmar's Standard Textbook Of Electricity
Electrical Engineering
ISBN:
9781337900348
Author:
Stephen L. Herman
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Electrical Engineering
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education
Fundamentals of Electric Circuits
Fundamentals of Electric Circuits
Electrical Engineering
ISBN:
9780078028229
Author:
Charles K Alexander, Matthew Sadiku
Publisher:
McGraw-Hill Education
Electric Circuits. (11th Edition)
Electric Circuits. (11th Edition)
Electrical Engineering
ISBN:
9780134746968
Author:
James W. Nilsson, Susan Riedel
Publisher:
PEARSON
Engineering Electromagnetics
Engineering Electromagnetics
Electrical Engineering
ISBN:
9780078028151
Author:
Hayt, William H. (william Hart), Jr, BUCK, John A.
Publisher:
Mcgraw-hill Education,
SEE MORE TEXTBOOKS