2. Consider the characteristic equation of a closed-loop control system, s'+3KS² +(K+2)s+4=0 Using Routh-Hurwitz criterion determine the range of K for a stable system.

6) A certain control system has the following specifications: rise time t, < 0.01 sec, overshoot Mp 16%, steady-state error to a unit ramp input ess < 0.005. a) Sketch the allowable region in the s-plane for an acceptable system.

a) A six-pole, lap-wound, 220 V, shunt-excited d.c. machine takes an armature current of 2.5 A when unloaded at 950 r/min. When loaded, it takes an armature current of 54 A from the supply and runs at 950 r/min. The resistance of the armature circuit is 0.18 and there are 1044 armature conductors. For the loaded condition, calculate: b) Use the information provided in Part (a) above to determine: i. The constant loss, C The output power when the machine is loaded. ii. iii. The output torque when the machine is loaded. Hint: Draw the power flow diagram.

A six-pole, lap-wound, 220 V, shunt-excited d.c. machine takes an armature current of 2.5 A when unloaded at 950 r/min. When loaded, it takes an armature current of 54 A from the supply and runs at 950 r/min. The resistance of the armature circuit is 0.18 Ω and there are 1044 armature conductors. For the loaded condition, calculate: i. the induced e.m.f. ii. the useful flux per pole. iii. the torque developed by the machine in Nm. b) Use the information provided in Part (a) above to determine: i. The constant loss, C (ANS: 548.875 W) ii. The output power when the machine is loaded. (ANS: 10,806.245 W) iii. The output torque when the machine is loaded. (ANS: 108.623 N) Hint: Draw the power flow diagram.

5. Below which is not a statement from an open loop control system is.... a. Less stable and less preciseb. Harder to makec. Relatively little power requirementsd. Impossible to obtain on an open systeme. stability is not the main problem

1)Consider a closed loop control system given below. Determine Un-damped Natural frequency, wn damping ratio (0), Delay time td, rise time Tr, peak time Tp, Settling time Ts (2% criteria) and Maximum percentage overshoot & Unit Step Response of a Second Order Systems. 25 2+55 Scope Step Transfer Fon Gain1

1. In a reference frame x, the q- and d-axis voltages of a wye-connected RL circuit may be expressed as v = 0. li – 100i +5pi vă = 0.li, +100is +5pi Determine the resistance and inductance of the circuit, as well as the speed of the reference frame. I. stator windings of a salient-pole synchronous machine with mutual leakage terms neglected is given in the following equation: The inductance matrix that describes the self- and mutual inductances between the L, + LA- L, cos 20, cos 2 0, - L, =- 2л 2|0,- L+L- L, cos 2 0,- LA-LCos 2(0, + t) LA- Lµ cos LA - La cos 2(0, + 7) 2л L, + L- L cos 2 0, + 3. - L, cos 2 0, + Evaluate KL,(K)"' for this case. Repeat the evaluation for the case in which mutual leakage terms are included.

In the following True or False and Multiple-Choice problems, circle the correct answer. 1. One of the most important characteristics of control systems is their transient response. True or False 2. The system sensitivity is the ratio of the change in the system transfer function to the change of a process transfer function for a small incremental change. True or False 3. A primary advantage of an open-loop control system is the ability to reduce the system's sensitivity. True or False 4. A disturbance is a desired input signal that affects the system output signal. True or False 5. An advantage of using feedback is a decreased sensitivity of the system to variations in the parameters of the process. True or False

Describe what is meant by sequence control.

Develop the time-domain block diagram for the compound machine with a long shunt connection.