ECE-476: Fall 2008
HOMEWORK #10
Problems 13.1, 13.7, 13.8 and 13.18 of Power System Analysis and Design textbook
and SP1
13.1) A three-phase, 60 Hz, 500-MVA, 13.8 kV, 4-pole steam turbine-generating unit
has an H constant of 5.0 p.u.-s. Determine:
a) ωsyn and ωmsyn
b) The kinetic energy in joules stored in the rotating masses at synchronous
speed.
c) The mechanical angular acceleration αm and electrical acceleration α if the
unit is operating at synchronous speed with an accelerating power of 500
MW.
13.7) Given that for a moving mass Wkinetic = 1/2 Mv2, how fast would 100,000 kg
diesel locomotive need to go to equal the energy stored in a 60 Hz, 100-MVA, 60
Hz, 2-pole generator spinning at synchronous speed with an H of 3.0 p.u.-s?
13.8) The synchronous generator in Figure 13.4 delivers 0.75 per-unit real power at
1.05 per-unit terminal voltage. Determine:
a) The reactive power output of the generator.
b) The generator internal voltage.
c) An equation for the electrical power delivered by the generator versus power
angle δ.
Figure 13.4
13.18) Open PowerWorld Simulator Case Problem 13_18. This case models the Example
13.4 system with damping at the bus 1 generator, and with a line fault midway
between buses 1 and 2. The fault is cleared by opening the line. Determine the
critical clearing time for this fault.
