Table 2 Parametrization of data for Caputo-Fabrizio steam turbine model within Laplace domain.

From: Comparative behavior of steam turbine model for dynamical power system analyses by means of multiple fractional and artificial neural network techniques

\(\:t\)

\(\:{P}_{0}\)

\(\:{F}_{0}\)

\(\:{\alpha\:}_{2}\)

\(\:{\beta\:}_{2}\)

\(\:{}_{2}{}^{CF}G\left(t\right)\)

\(\:{}_{2}{}^{CF}H\left(t\right)\)

Enhancement/Reduction

5

0.5

3

0.89

0.89

0.97934

0.72813

---

---

10

0.5

3

0.89

0.89

0.98069

0.54968

-0.1378

24.507

15

0.5

3

0.89

0.89

0.98114

0.44148

-0.0458

19.684

20

0.5

3

0.89

0.89

0.98137

0.36887

-0.0234

16.446

25

0.5

3

0.89

0.89

0.98151

0.31677

-0.0142

14.124

\(\:{}_{2}{}^{CF}G\left(t\right)=0.979+0.000\:t,\:{}_{2}{}^{CF}H\left(t\right)=0.782-0.020\:t\)

  

5

0.5

3

0.89

0.89

0.97934

0.72813

---

---

5

1.0

3

0.89

0.89

0.98006

0.71938

-0.0735

1.2017

5

1.5

3

0.89

0.89

0.88006

0.71084

0.2034

1.1871

5

2.0

3

0.89

0.89

0.81206

0.70250

7.726

1.1732

5

2.5

3

0.89

0.89

0.71011

0.69436

12.554

1.1587

\(\:{}_{2}{}^{CF}G\left(t\right)=1.084-0.141{P}_{0},\:{}_{2}{}^{CF}H\left(t\right)=0.736-0.016{P}_{0}\)

  

5

0.5

3

0.89

0.89

0.72956

0.51076

---

---

5

0.5

6

0.89

0.89

0.79144

0.39078

-8.4818

23.490

5

0.5

9

0.89

0.89

0.85332

0.31644

-7.8186

19.023

5

0.5

12

0.89

0.89

0.94614

0.26586

-10.877

15.984

5

0.5

15

0.89

0.89

1.10084

0.22923

-16.350

13.777

\(\:{}_{2}{}^{CF}G\left(t\right)=0.615+0.029{F}_{0},\:{}_{2}{}^{CF}H\left(t\right)=0.549-0.02{F}_{0}\)

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