Page 302 - Handbook of Electrical Engineering

288 HANDBOOK OF ELECTRICAL ENGINEERING

11.7.1 Worked Example

An LNG plant has an estimated load of 90 MW and is supplied by five 34.0 MVA generators. The
main switchboard operates at 33 kV, and supplies DOL induction motors with unit transformers
totalling 35 MW. There is a group of 10 DOL motors operating at 6.6 kV the total kW of which
is 25 MW. There is a total of 5 MW of low voltage motors operating at 400 V. A large group of
high voltage motors operate from variable speed power electronic rectifier-inverters. These consume
a total of 23 MW , and can be regarded as static loads in that they do not contribute fault currents
to the main switchboard. There is a miscellaneous static load at 400 V totalling 2 MW.
Each generator has a sub-transient reactance of 0.13 pu.
Each generator unit transformer is rated at 42.5 MVA and has a reactance of 0.08 pu.
The marginal factors for MVA ratings are,

• K tg = 1.25
• K tm = 1.10
• K td = 1.3

The operating power factors of the loads are,

• 0.87 for high voltage motors
• 0.85 for low voltage motors

• 0.86 for high voltage static loads (motors)
• 0.97 for low voltage static loads.

The MVA values for these loads are,

S hm1 = 35.0/0.87 = 40.23 MVA
S hm2 = 25.0/0.87 = 28.74 MVA
S lm = 5.0/0.85 = 5.88 MVA
S hs = 23.0/0.86 = 26.74 MVA

S ls = 2.0/0.97 = 2.06 MVA

The summations of active and reactive powers are,

P hm1 = 35.0 MW,P hm2 = 25.0 MVA

P lm = 5.0 MW,P hs = 23.0 MVA
P ls = 2.0