Page 282 - Mathematical Models and Algorithms for Power System Optimization

274 Chapter 7

7.8.4.2 Difference T ¼4s
The transfer function of the compensator of thermal generating unit is:

2
9 3
1 0:6069B +0:00023B 9 10 B
H C ¼ (7.128)
2
0:5433B 0:14977B 0:000202B 2
Corresponding control law for the compensator:
2
9 3
1 0:6069B +0:0023B 9 10 B
Δu 1 kðÞ ¼ ΔP L1 kðÞ (7.129)
2
0:5433B 0:14977B 0:000202B 3
or
ð
Δu 1 kðÞ ¼0:27567Δu 1 k 1ð Þ +0:000376Δu 1 k 2Þ +1:8406ΔP L1 k +1Þ
ð
(7.130)
1:1708ΔP L1 kðÞ +0:0004233ΔP L1 k 1ð Þ
The transfer function of the compensator of hydro generating unit is:
7 3
2
1 0:9163B +0:00079B 1:67 10 B
H C ¼ (7.131)
2
0:14742B 0:06204B 0:0008607B 2
Corresponding control law for the compensator:
2
7 3
1 0:9163B +0:00079B 1:67 10 B
Δu 2 kðÞ ¼ ΔP L2 kðÞ (7.132)
2
0:14742B 0:06204B 0:0008607B 3
or
ð
ð
Δu 2 kðÞ ¼ 0:42085Δu 2 k 1ð Þ +0:005838Δu 2 k 2Þ +6:7833ΔP L2 k +1Þ
ð
6:2155ΔP L2 kðÞ +0:00536ΔP L2 k 1ð Þ 0:0000011ΔP L2 k 2Þ
The performance of tracking control using the controller of difference T¼4s is illustrated in
Fig. 7.26.

7.8.5 Simulation Results of Tracking Control for Five-Unit Test System

Thehypothetictestresultsoftwo-unittestsystemsuggestthatthelocalestimator,centralestimator,
load disturbance model, and compensation controller proposed in this chapter have good effects
and can effectively estimate and control the system state. On this basis, the simulation test for
tracking control to a practical five-unit test system structure has been performed, in which the
disturbance ΔP Li is distributed to the five units following the electric distance distribution
principle. The simplified diagram of a five-unit test system is shown in Fig. 7.27.

So

ΔP L1 ¼ 0:6ΔP L
ΔP L2 ΔP L5 ¼ 0:4=4ΔP L ¼ 0:1ΔP L