Determine the closed loop speed transfer function, Applied Statistics

Assignment Help:

In the case of permanent magnet DC motor whose stator consists of a permanent magnet we can take the field current to be constant (i.e. a constant magnetic field) and it can be shown that the torque is proportional to the armature current:

246_Determine the closed loop speed transfer function.png

The back-emf voltage is proportional to the shaft speed:

1970_Determine the closed loop speed transfer function1.png

Summing the loop voltages gives:

1693_Determine the closed loop speed transfer function2.png

Summing the angular forces present at the motor's output shaft yields:

1722_Determine the closed loop speed transfer function3.png

The above equations can be used to create the block diagram representation of the motor. 'Blind' version of this diagram is shown below.

104_Determine the closed loop speed transfer function4.png

a) By taking the Laplace transform of the above equations fill in the empty blocks of diagram.

b) State the units for all constants used in the above equations.

c) What is the forward path transfer function of DC block diagram?

d) What is the feedback path transfer function of DC motor block diagram?

e) Determine the closed loop speed transfer function and state the order of the system.

f) Use Matlab/Simulink to develop a computer simulation of derived block diagram using the following data:

Ra = 0.6Ω;   La = 0.012 H;   I = 1.8kgm2;  

β = 0.6 ................;   km = 0.12 ................;   kb = 0.12 ................

          i.e. determine the motor speed step response to a step change in applied voltage from 0V to 240 V.


Related Discussions:- Determine the closed loop speed transfer function

Admissibility, Admissibility A very common concept which is applicable ...

Admissibility A very common concept which is applicable to any procedure of the statistical inference. The underlying notion is that the procedure/method is admissible if and o

Describe the opportunities for statistical learning, 1. Recognize and expla...

1. Recognize and explain the opportunities for statistical learning. 2. Describe how the use of statistics supports student learning. 3. Recognize appropriate data displays a

Normal curve applications, Replacement times for TV sets are normally distr...

Replacement times for TV sets are normally distributed with a mean of 8.2 years and a standard deviation of 1.1 years. Find the replacement time that separates the top 20% from the

Coefficient of determination, Coefficient of Determination The c...

Coefficient of Determination The coefficient of determination is given by r 2 i.e., the square of the correlation coefficient. It explains to what extent the variation

Three types of food question?, #There were three types of food, and the res...

#There were three types of food, and the researcher recorded which foods were bought. Peanut Butter Banana Hamburger 15

Large sample test for proportion, Large Sample Test for Proportion A ra...

Large Sample Test for Proportion A random sample of size n (n > 30) has a sample proportion p of members possessing a certain attribute (success). To test the hypothesis that t

Poisson distribution, Poisson Distribution The poisson Distribution  wa...

Poisson Distribution The poisson Distribution  was discovered  by French mathematician simon  denis  poisson. It is a discrete probability distribution. Meaning : In bi

Harmonic mean, The Harmonic Mean is based on the reciprocals of numbers ave...

The Harmonic Mean is based on the reciprocals of numbers averaged. It is defined as the reciprocal of the arithmetic mean of the reciprocal of the given individual observations. Th

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd