Table 1 A brief literature survey of multi-area power systems, controller type, and optimization algorithms.

From: Optimization of automatic generation controllers in renewable multi-area power systems using the Fata Morgana algorithm

Year

Ref.

no

Number of area/

energy unit

Type of energy production

Controller type

Optimization

algorithm or method

Objective function

2024

17

5/10

Thermal Hydro/Thermal Wind/

Thermal Gas/

Hydro Diesel/

Hydro Wind

PID/FOFPID

mMSA

ITAE

2020

18

2/2

Non-reheat Thermal/Non-reheat Thermal

HODFC/FHODFC

PSO/COA/HSCOA

ITAE

2/3

Re-Heat Thermal/Hydro/Gas

2023

19

2/4

Thermal/Thermal

PI/PID

GA/PSO/TLBO

ITAE

2023

20

2/4

Non-reheat Steam Power/PV/

Non-reheat Steam Power/Wind

PI-PDN

GWO/PSO/BOA

ITAE

2024

21

2/2

Hydrothermal Power System/Hydrothermal Power System

TIDDF

CSOA

ISE

2024

22

5/10

Hydro/Wind/

Hydro/Diesel/

Diesel/Wind/

Hydro/Thermal/

Diesel/Thermal

FOPID-PR

AHB

ITAE

2023

23

2/2

Thermal/Thermal

2DOFPID

hGWO-PS

ITAE

2020

24

2/2

Hydro/Hydro

TDAC

Deep Reinforcement Learning Based TDAC

User Defined

2023

25

3/14

Multi Energy Production

Gaussian Interval-Based Type-2 Fuzzy PID Controller

Discrete Water Cycle Algorithm (DWCA)

ITAE

2024

26

2/6

Thermal/Hydro/Gas

Thermal/Hydro/Gas

FOTID

SAR

ITAE

2023

27

2/2

Thermal/Thermal

ANFIS/ANN

PSO

ISE

2024

28

3/3

Thermal/Nuclear/Hydro

PID

GA/PSO/ACO

ITAE

2024

29

3/3

Thermal/Thermal/Thermal

DOF-PDN/

2DOF-PDN/3DOF-PDN/

Neuro Fuzzy-3DOF-PDN

SOA

ISE

2023

30

2

Wind/PV

PID/FOPID

Coot Optimization Algorithm

ISE

2023

31

3/3

Reheat/Hydro/Gas

PI-PD

---

ISE/IAE/ITAE

2023

32

3/3

Non-Reheated Thermal/Non-Reheated Thermal

PID/FOPIDF/2DOFPID

MFO/SCA/ALO/SSA

ITAE

2024

33

3/6

Solar/Thermal

Ocean/Termal & Nuclear

Wind/Hydro

PID/Fuzzy 3DOFPID

BB-BC/LMA/FSO/PSO

ITSE

2021

34

3/3

Thermal/Thermal/Thermal + Flexible AC Transmission system

PDF + (1 + PI)

Grasshopper Optimization Algorithm

ITAE

2021

35

2/Multi-Microgrid

Thermal/Diesel Engine Generator/Micro Turbine/FC Fuel Cell/Photovoltaic/Wind Turbine/Battery/Flywheel Energy Storage System

Cascade PDF (1 + PI)

Imperialist Competitive Algorithm

ITAE

2022

36

1/Multi-DG (Microgrid)

PV/Wind/Diesel + EV/Battery

FO-T2F-PID

Improved Moth Swarm Algorithm

ISE

2021

37

2/4

Photovoltaic/Wind Turbine/HT Hydrothermal Unit/Hydrogen Aqua Equalizer–Fuel Cell

Fractional-Order Fuzzy PID (FOFPID)

Sunflower Optimization

ITAE

2024

38

1/Multi-DG (Microgrid)

Solar/Wind/Diesel/Fuel Cell + Energy Storage Devices

F-TIDF-2

Improved Equilibrium Optimization

ISE