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Hybrid neuro-fuzzy-based 3DOF-PDN controller for AGC of multi-area interconnected power system incorporated hydrogen aqua electrolyze fuel cell units and unified power flow controller

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Abstract

Continuous growth in size and complexity, stochastically changing power demands, system modeling errors, alterations in electric power system structures and variations in the system parameters over the time have turned automatic generation control (AGC) task into a challenging one. Hence, in this article, design of a neuro-fuzzy-based three-degree-of-freedom-PD with a low pass filter coefficient (NF-3DOF-PDN) controller for a three-area AGC system is examined in this study. Areas 1, 2, and 3 are considered hydrothermal power plants. Several secondary controllers, such as 2DOF-PDN, 3DOF-PDN, and NF-3DOF-PDN controllers, have been examined separately to maintain the frequency and tie line power. Physical restrictions, such as the generation rate constraints and the time delay, have been incorporated into the system for a more realistic approach. A skill optimization algorithm (SOA) is used to optimize the controller gains and other parameters with integral squared error as performance indices. Numerous simulations are investigated to demonstrate the superiority of the proposed NF-3DOF-PDN controller over existing secondary controllers. The impacts of combining hydrogen aqua electrolyze (HAE) and fuel cell (FC) units on dynamic systems are being studied in this system. Moreover, a unified power flow controller (UPFC) is also incorporated with the tie lines to strengthen the systems against low-frequency damping oscillations. The resilience of the SOA-optimized proposed NF-3DOF-PDN controller has also been investigated for various system loading conditions. The performance of the proposed NF-3DOF-PDN with HAE-FC and UPFC controller under nominal conditions is resilient, and it is not required for several time resets of the controller while the system loading varies.

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Abbreviations

ACEi :

Area controller error of ith area

AGC:

Automatic generation control

ANFIS :

Adaptive neuro-fuzzy inference system

AVR:

Automatic voltage regulator

FIS:

Fuzzy interfacing system

FLC:

Fuzzy logic control

GA:

Genetic algorithm

GRC:

Generating rate constraint

HAE-FC:

Hydrogen aqua electrolyze fuel cell units

IAE:

Integral absolute error

ID:

Integral derivative

IDD:

Integral double derivative

ISE:

Integral square error

ITAE:

Integral of the time weighted absolute error

ITSE:

Integral time square error

PD:

Proportional-derivative

PI:

Proportional–integral

PID:

Proportional–integral–derivative

PIDD:

Proportional–integral plus double derivative

PIDF:

Proportional–integral–derivative with filter

PIDF:

PID with filter

PIDN:

Proportional–integral–derivative with filter coefficient

PSO:

Particle swarm optimization

TD:

Time delay

2DOF:

Two degree of freedom

3DOF:

Three degree of freedom

RTP:

Reheated thermal power

SLD:

Step load disturbance

SOA:

Skill optimization algorithm

UPFC:

Unified power flow controller

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Authors and Affiliations

Authors

Contributions

Getaneh Mesfin has written the whole manuscript, and Lalit Chandra Saikia has reviewed it and gives his input for modifications.

Corresponding author

Correspondence to Getaneh Mesfin Meseret.

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Appendix

Appendix

Nominal condition system data:

Pr1 = 2000 MW, Pr2 = 6000 MW, Pr3 = 10000 MW, Initial loading = 50%, f = 60 Hz, B1 = B2 = R3 = 0.4250 p.u.MW/Hz, Ri = 2.40 Hz/per unit MW, Ptie max = 200 MW, Tg = 0.080 s, Tr = 10 s, Kr = 0.5, Hi = 5 s, Tt = 0.3 s, Di = 8.33 ∗ 10–3 p.u. MW/Hz, a12 =  − 1/3, a23 =  − 1/2, a13 =  − 1/6, T12 = T23 = T13 = 0.0866 p.u.MW/rad, TR = 5 s, Kp1 = Kp2 = Kp3 = 120 Hz/p.u.MW, Tp1 = Tp2 = Tp3 = 20 s. KHAE = 0.02, THAE = 0.5 s, KFC = 0.01; TFC = 4 s, KUPFC = 1.0, TUPFC = 0.5 s.

Variation of parameters with varying system loading.

System loading

Kps in Hz/p.u.MW

Tps, in sec

D, in p.u. MW/Hz

B in p.u MW/Hz

Tw in sec

50%

120.0

20.00

8.33*10–3

0.425

1.00

65%

93.0

15.0

0.0108

0.427

1.70

35%

172.0

28.0

0.0058

0.4225

0.49”

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Meseret, G.M., Saikia, L.C. Hybrid neuro-fuzzy-based 3DOF-PDN controller for AGC of multi-area interconnected power system incorporated hydrogen aqua electrolyze fuel cell units and unified power flow controller. Electr Eng (2024). https://doi.org/10.1007/s00202-024-02405-9

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