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EEE Rony Parvej’s Lecture7 & 8: Control System & Transients Update: 30 April, 2015 fecabook.com/ronyiut

Transcript of EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the...

Page 1: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

EEE

Rony Parvej’s

Lecture– 7 & 8: Control System & Transients

Update: 30 April, 2015

fecabook.com/ronyiut

Page 2: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

TRANSIENTS

For the circuit shown bellow, Let VC (0) = 45V. Determine VC (t) and VX (t) at t > 0

0.

DPDC-2014

The switch in Figure has been in position A for a long time. At t=0, the switch moves to

B. Determine v(t) for t > 0.

DWASA-

2014

Control System

Determine the equivalent transfer function of the system shown bellow.

NWPGCL-14

Determine the values of natural frequency, damping factor and unit step response of a

system represented by the second order transfer function,

10

H (s) = -------------

s2 + 6s +5

EGCB-14

Consider the feedback control system shown bellow:

Determine the range of gain K for which the system is stable.

BPDB-2015

Page 3: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Formulas at a glance:

Page 4: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Important Examples from Fundamentals of Electric Circuits by Alexandar, Sadiku

Page 5: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 6: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 7: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 8: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 9: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 10: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 11: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 12: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 13: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 14: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 15: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

CONTROL SYSTEM

Rules for solving block diagrams:

Page 16: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 17: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 18: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 19: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 20: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 21: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 22: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 23: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 24: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 25: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 26: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 27: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 28: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 29: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 30: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 31: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 32: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 33: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 34: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Transfer Function

Page 35: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Page 36: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

EXAM QUESTION SOLUTION

Determine the equivalent transfer function of the system shown bellow.

NWPGCL-14

Page 37: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Determine the values of natural frequency, damping factor and unit step response of a system

represented by the second order transfer function,

10

H (s) = -------------

s2 + 6s +5

EGCB-14

Page 38: EEE - WordPress.com · EXAM QUESTION SOLUTION Determine the equivalent transfer function of the system shown bellow. NWPGCL-14 . Rony Parvej’s EEE Job Preparation Lecture – 7

Rony Parvej’s EEE Job Preparation Lecture – 7 & 8: Transients & Control system

Consider the feedback control system shown bellow:

Determine the range of gain K for which the system is stable.

BPDB-2015