Consider the following statements: 1. Integral controller improves steady state response 2. By use of proportional controller, maximum peak overshoot decreases 3. Type and order of system reduces by one for derivative controller 4. Integral controller makes the system less stable in transient state due to oscillations Select the correct answer using the codes given below:

Assertion (A): All the systems which exhibit overshoot in transient response will also exhibit resonance peak in frequency response. Reason (R): Large resonance peak in frequency response corresponds to a large overshoot in transient response.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true and R is not the correct explanation of A

C

A is true but R is false

D

A is false but R is true

Consider the following statements with reference to the response of a control system: 1. A large resonant peak corresponds to a small overshoot in transient response. 2. A large bandwidth corresponds to slow response. 3. The cut-off rate indicates the ability of the system to distinguish the signal from noise 4. Resonant frequency is indicative of the speed of transient response. Which of the above statements are correct?

A

1 and 2

B

2 and 3

C

1 and 4

D

3 and 4

Consider the following statements for a PI compensator for control system. 1. It is equivalent to adding a zero at origin 2. It reduces overshoot 3. It improves the steady state error of the system Which of the statements given above are correct?

A

1 and 3

B

1,2 and 3 only

C

2 and 3

D

1 only

Assertion (A): A derivative controller produces a control action for constant error only. Reason (R): The PD controller increases the damping and reduces the peak overshoot.

A

Both assertion and reason are true and R is correct explanation of A

B

Both A and R true but R is not correct explanation of A

C

A is true but R is false

D

A is False but R is true

Consider the following statements 1. Value of transient stability limit will be lower than steady-state stability limit 2. Transient stability limit is the maximum flow of power through a particular point in the power system without loss of stability when large and sudden disturbances occur 3. Critical clearing angle is related to the steady-state stability limit Which of the above statement(s) is/are correct?

A

Only 1

B

All

C

Only 1 and 2

D

Only 1 and 3

Consider the following statements: 1. If x is directly proportional to z and y is directly proportional to z, then (x2 - y2) is directly proportional to z2. 2. If x is inversely proportional to z and y is inversely proportional to z, then (xy) is inversely proportional to z2. Which of the above statements is/are correct?

A

1 only

B

2 only

C

Both 1 and 2

D

Neither 1 nor 2

Consider the following statements in connection with deflection-type and null-type instruments: 1. Null-type instruments are more accurate than the deflection-type ones. 2. Null-type of instrument can be highly sensitive compared to a deflection-type instrument. 3. Under dynamic conditions, null-type instruments are less preferred to deflection-type instruments. 4. Response is faster in null-type instruments as compared to deflection-type instruments. Which of the above statements are correct?

A

1, 2 and 3

B

1, 2 and 4

C

1, 3 and 4

D

2, 3 and 4

Consider the following statements related to stability of the control system : 1. Poles in right half-plane (rhp) yield pure exponential decaying natural response. 2. If poles of multiplicity greater than one are present on the imaginary axis, then the system is marginally stable, 3. If one pole is present in right-half plane, the system is unstable. 4. A system is stable if the natural response approaches zero as time approaches infinity. Which of the above statements is/are not correct ?

A

1 and 4 only

B

1 and 2 only

C

1 only

D

3 and 4 only

Assertion (A): It is desirable that the transient response be sufficiently fast and sufficiently damped. Reason (R): Oscillations are not tolerated in the transient response.

A

Both A and R are true but R is not the correct explanation of A

B

Both A and R are true but R is correct explanation of A

C

A is true and R is false

D

A is false and R is true

Rise time, Peak time, maximum peak overshoot, settling time, and steady state error are mutually dependent.

A

True

B

False

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