Page 68 - Handbook of Electrical Engineering

GAS TURBINE DRIVEN GENERATORS 47

setting must be reduced from 102.4% (61.44 Hz) to 101.6% (60.96 Hz) i.e. the same as
that of Gen.2. The common new frequency will be at point ‘D’ as 99.6% (59.76 Hz).
Method 2. Change the speed setting of Gen.2 only:
The droop characteristic line 2A-A must be raised to the new position 2B-B so that it
crosses the line 1A-B of Gen.1 at point ‘B’ for 50% sharing of load. Thus the speed
setting must be raised from 101.6% (60.96 Hz) to 102.4% (61.44 Hz) i.e. the same as
that of Gen.1. The new frequency will be at point ‘B’ as 100.4% (60.24 Hz).
Method 3. Change the speed setting of Gen.1 and Gen.2.
In order to recover the frequency to 100% (60 Hz) both speed settings will need to
be changed.
Gen.1 speed setting will be reduced to 102% (61.2 Hz).
Gen.2 speed setting will be raised to 102%.
The operating point will be ‘C’.
The droop lines will be 1C-C and 2C-C.

2.5.4.1 Worked example
Three generators have different ratings and operate in a power system that has a nominal frequency
of 60 Hz. Each generator is partially loaded and the total load is 25 MW.
a) Find the loading of each generator and the system frequency if the total load increases to 40.5 MW,
whilst their set points remain unchanged.
b) Also find the changes required for the set points that will cause the system frequency to be restored
to 60 Hz. The initial loads on each generator and their droop values are, shown in Table 2.6.
c) Find the changes in the set points that will enable the generators to be equally loaded at the new
total load, with the system frequency found in a).
d) Find the additional changes in the set points that will enable the frequency to be recovered to
60 Hz.

Step 1. Find the initial set points f zi before the load is increased. Transpose (2.62) to find f zi

D i P i f o
f zi = f + (2.69)
G i
For generator No. 1,
0.03 × 60.0 × 10.0
f z1 = 60.0 + = 60.9Hz
20
Table 2.6. Data and initial conditions of three generators

Generator rating Initial loading Drop in per unit
(MW) (MW)
20 10 0.03
15 10 0.04
10 5 0.05