Home / Expert Answers / Electrical Engineering / the-torque-balance-equation-is-t-m-t-j-d-omega-t-dt-b-omega-t-where-t-m-the-motor-tor-pa875

(Solved): The torque balance equation is: ,T_(M)(t)=J(d\omega (t))/(dt)+B\omega (t), where T_(M) the motor tor ...



The torque balance equation is: ,T_(M)(t)=J(d\omega (t))/(dt)+B\omega (t), where T_(M) the motor torque, J is Motor's moment of inertia, B is viscous friction coefficient of motor \omega angular velocity of motor shaft Figure 1B: Model of separately excited dc motor It is also known that T_(M)(t)=K_(T)i_(a)(t) e_(b)(t)=K_(b)\omega (t) From the above equations, it can be re-arranged such that the derivatives of current i_(a)(t) and angular motor speed \omega (t) as a function of the current i_(a)(t), angular speed \omega (t) and the applied armature voltage u(t), hence these two variables are the state variable of the system. Your tasks: Obtain the state space model for this system, show your workings in details, no working will be given 0 marks. Assign the following numerical values for the system parameters, enter to your calculation and present your state space model in numerical values. R_(a)=1\Omega ,L_(a)=100mH,J=0.1kg-m^(2),B=0.1(Nm)/((ra(d)/(s))^(')),K_(b)=K_(T)=0.1 Write Matlab m -file program to simulate this dc motor and derive the system transfer function G(s) [note refer to Matlab command ss2tf]


We have an Answer from Expert

View Expert Answer

Expert Answer


We have an Answer from Expert

Buy This Answer $5

Place Order

We Provide Services Across The Globe