An Optimized Fractional-Order PID (FOPID) Controller for a Non-Linear Conical Tank Level Process

Author(s):  
Mary Ann George ◽  
Dattaguru V. Kamath ◽  
I. Thirunavukkarasu
Energies ◽  
2021 ◽  
Vol 14 (12) ◽  
pp. 3604
Author(s):  
Hady H. Fayek ◽  
Panos Kotsampopoulos

This paper presents load frequency control of the 2021 Egyptian power system, which consists of multi-source electrical power generation, namely, a gas and steam combined cycle, and hydro, wind and photovoltaic power stations. The simulation model includes five generating units considering physical constraints such as generation rate constraints (GRC) and the speed governor dead band. It is assumed that a centralized controller is located at the national control center to regulate the frequency of the grid. Four controllers are applied in this research: PID, fractional-order PID (FOPID), non-linear PID (NPID) and non-linear fractional-order PID (NFOPID), to control the system frequency. The design of each controller is conducted based on the novel tunicate swarm algorithm at each operating condition. The novel method is compared to other widely used optimization techniques. The results show that the tunicate swarm NFOPID controller leads the Egyptian power system to a better performance than the other control schemes. This research also presents a comparison between four methods to self-tune the NFOPID controller at each operating condition.


2016 ◽  
Vol 14 (4) ◽  
pp. 369-384 ◽  
Author(s):  
Cristian Jáuregui ◽  
Manuel A. Duarte-Mermoud ◽  
Rodrigo Oróstica ◽  
Juan Carlos Travieso-Torres ◽  
Orlando Beytía

Recently, ‘UPQC’ has been urbanized as a FACTS controller near weak buses and buses with non linear loads. ‘UPQC’ can improve receiving end voltage and provide time harmonics to the load. The UPFC and ‘UPQC’ systems are compared to find a better FACTS controller. The recommended closed loop ‘UPQC’ framework is to augment dynamic response of ‘UPQC’ system using FOPID controller. Simulink replicas are extended for PI &FOPID controlled ‘UPQC’ frameworks. The denouements of PI&FOPID based ‘UPQC’ frameworks designate that voltage retaliation of FOPID is predominant to the denouement of PI managed ‘UPQC’ system. The investigation denotes that FOPID ’UPQC’ framework has diminished settling time& steady state error.


2016 ◽  
Vol 38 (12) ◽  
pp. 1442-1459 ◽  
Author(s):  
Shiqi Zheng ◽  
Xiaoqi Tang ◽  
Bao Song

The main focus of this paper is on a graphical tuning method of non-linear fractional-order PID (FOPID)-type controllers, i.e. a class of FOPID-type controllers that non-linearly depend on the control parameters, e.g. FO[PI], FO[PD] etc. Firstly, a method is proposed to determine the stabilizing region of non-linear FOPID-type controllers, namely the complete sets of FOPID-type controllers providing stability of the control system. Secondly, two different approaches are proposed to determine the H∞ region of these FOPID-type controllers, namely the complete sets achieving H∞ robust performance specifications. The first approach maps the H∞ constraints into the parameter space by solving a series of non-linear equations. The second approach transforms the original H∞ region problem into simultaneous stabilization of a family of characteristic polynomials. It turns out that these two approaches are both very flexible, and the second approach is more efficient than the former. The main advantage of our proposed graphical tuning method is that the exact mathematical model of the controlled plant is not needed. The stabilizing and H∞ regions can be computed only from the frequency response data of the plant. Finally, numerical and experimental results are presented to demonstrate the proposed graphical tuning method.


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