IEEE Systems, Man and Cybernetics Magazine - July 2021 - 29

Additional Information (Continued)
Table S3. A sensitivity analysis of two-area PV integrated
thermal power systems considering the variable load
disturbances with nominal and perturbed system parameters.
Tf1
Parameter % Change
Nominal
KT Tps ps t
TR ,andsg
,, ,
+25
-25
(−ve) (×10−3)
0.8455
Mp (Hz)
ts (s)
52.78
0.9351
0.7669
Area 4
b4
R4
1
Nonreheater
Thermal Plant
1 + sTsg4
Ksg4
-a14
∆Ptie14
Tie Line
b1
R1
1
Area 1
Reheater
Thermal Plant
1 + sTsg1
Ksg1
x4
1 + sTt1
Kt1
x3
∆Ptie12
Tie Line
-a12
Ksg2
1 + sTsg2
b2
R2
1
Area 2
Reheater
Thermal Plant
∆Ptie23
Tie Line
-a23
Ksg3
1 + sTsg3
b3
R3
1
Area 3
Reheater
Thermal Plant
∆Ptie13
Tie Line
-a13
x19
-a13
2πT13
s
Figure S3. An interconnected four-area power systems [29] with the proposed controller.
(Continued)
July 2021 IEEE SYSTEMS, MAN, & CYBERNETICS MAGAZINE 29
k12
x12
Kt3
1 + sTt3
k11
x11
1 + sKr3Tr3
1 + sTr3
∆Pd3
x10
k10
-a23
1 + sTps3
Kps3
k9
x9
∆f3
x18
2πT23
s
k8
x8
Kt2
1 + sTt2
k7
x7
1 + sKr2Tr2
1 + sTr2
k6
x6
-a12
∆Pd2
1 + sTps2
Kps2
k5
x5
∆f2
1 + sKr1Tr1
1 + sTr1
k4
k3
k2
x2
x17
k1
∆Pd1
1 + sTps1
Kps1
2πT12
s
x1
∆f1
x15
1 + sTt4
Kt4
k14
x14
-a14
x16
2πT14
s
51.89
54.01
ISE
(×10−5)
1.0497
1.2875
0.8714
k15
k13
∆Pd4
1 + sTps4
Kps4
∆f4
x13
Mp (Hz) (−ve)
(×10−3)
0.8539
0.9005
0.8122
Tf2
ISE
ts (s)
(×10−5)
52.82 1.0387
51.77 1.2733
53.4
TPtie
Mp (p.u. MW)
(×10−4)
0.6256
0.691
0.8628
0.5619
ISE
ts (s)
(×10−7)
49.66 1.2814
49.63 1.5725
49.72 1.0488

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