scholarly journals Improved Solutions for the Optimal Coordination of DOCRs Using Firefly Algorithm

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-15 ◽  
Author(s):  
Muhammad Sulaiman ◽  
Waseem ◽  
Shakoor Muhammad ◽  
Asfandyar Khan
Keyword(s):  
Objective Function ◽  
Firefly Algorithm ◽  
Operating Time ◽  
Optimal Solution ◽  
Optimization Techniques ◽  
Nonlinear Constrained Optimization ◽  
Design Variables ◽  
Highly Nonlinear ◽  
Overcurrent Relays ◽  
Optimal Coordination

Nature-inspired optimization techniques are useful tools in electrical engineering problems to minimize or maximize an objective function. In this paper, we use the firefly algorithm to improve the optimal solution for the problem of directional overcurrent relays (DOCRs). It is a complex and highly nonlinear constrained optimization problem. In this problem, we have two types of design variables, which are variables for plug settings (PSs) and the time dial settings (TDSs) for each relay in the circuit. The objective function is to minimize the total operating time of all the basic relays to avoid unnecessary delays. We have considered four models in this paper which are IEEE (3-bus, 4-bus, 6-bus, and 8-bus) models. From the numerical results, it is obvious that the firefly algorithm with certain parameter settings performs better than the other state-of-the-art algorithms.

scholarly journals An Optimized Protection Coordination Scheme for the Optimal Coordination of Overcurrent Relays Using a Nature-Inspired Root Tree Algorithm

2018 ◽  
Vol 8 (9) ◽  
pp. 1664 ◽  
Author(s):  
Abdul Wadood ◽  
Saeid Gholami Farkoush ◽  
Tahir Khurshaid ◽  
Chang-Hwan Kim ◽  
Jiangtao Yu ◽  
...  
Keyword(s):  
Objective Function ◽  
Optimization Problem ◽  
Operating Time ◽  
Global Optimum ◽  
Optimization Techniques ◽  
Tree Algorithm ◽  
Engineering Problems ◽  
Overcurrent Relays ◽  
Optimal Coordination ◽  
Root Tree

In electrical engineering problems, bio- and nature-inspired optimization techniques are valuable ways to minimize or maximize an objective function. We use the root tree algorithm (RTO), inspired by the random movement of roots, to search for the global optimum, in order to best solve the problem of overcurrent relays (OCRs). It is a complex and highly linear constrained optimization problem. In this problem, we have one type of design variable, time multiplier settings (TMSs), for each relay in the circuit. The objective function is to minimize the total operating time of all the primary relays to avoid excessive interruptions. In this paper, three case studies have been considered. From the simulation results, it has been observed that the RTO with certain parameter settings operates better compared to the other up-to-date algorithms.

scholarly journals Nature-Inspired Whale Optimization Algorithm for Optimal Coordination of Directional Overcurrent Relays in Power Systems

Energies ◽  
2019 ◽  
Vol 12 (12) ◽  
pp. 2297 ◽  
Author(s):  
Wadood ◽  
Khurshaid ◽  
Farkoush ◽  
Yu ◽  
Kim ◽  
...  
Keyword(s):  
Power Systems ◽  
Optimization Algorithm ◽  
Operating Time ◽  
Whale Optimization Algorithm ◽  
Humpback Whales ◽  
Test Systems ◽  
Whale Optimization ◽  
Overcurrent Relays ◽  
Optimal Coordination ◽  
Hunting Strategy

In power systems protection, the optimal coordination of directional overcurrent relays (DOCRs) is of paramount importance. The coordination of DOCRs in a multi-loop power system is formulated as an optimization problem. The main objective of this paper is to develop the whale optimization algorithm (WOA) for the optimal coordination of DOCRs and minimize the sum of the operating times of all primary relays. The WOA is inspired by the bubble-net hunting strategy of humpback whales which leads toward global minima. The proposed algorithm has been applied to six IEEE test systems including the IEEE three-bus, eight-bus, nine-bus, 14-bus, 15-bus, and 30-bus test systems. Furthermore, the results obtained using the proposed WOA are compared with those obtained by other up-to-date algorithms. The obtained results show the effectiveness of the proposed WOA to minimize the relay operating time for the optimal coordination of DOCRs.

Three-dimensional optimum design of the cooling lines of injection moulds based on boundary element design sensitivity analysis

2002 ◽  
Vol 216 (7) ◽  
pp. 1067-1071 ◽  
Author(s):  
H Zhou ◽  
D Li ◽  
S Cui
Keyword(s):  
Sensitivity Analysis ◽  
Objective Function ◽  
Boundary Element ◽  
Optimum Design ◽  
Three Dimensional ◽  
Design Sensitivity ◽  
Boundary Integral ◽  
Optimization Techniques ◽  
Design Sensitivity Analysis ◽  
Design Variables

A three-dimensional numerical simulation using the boundary element method is proposed, which can predict the cavity temperature distributions in the cooling stage of injection moulding. Then, choosing the radii and positions of cooling lines as design variables, the boundary integral sensitivity formulations are deduced. For the optimum design of cooling lines, the squared difference between the objective temperature and the temperature of the cavity is taken as the objective function. Based on the optimization techniques with design sensitivity analysis, an iterative algorithm to reach the minimum value of the objective function is introduced, which leads to the optimum design of cooling lines at the same time.

scholarly journals Implementation of Hybrid ABC-PSO Algorithm for Directional Overcurrent Relays Coordination Problem

2020 ◽  
Vol 9 (7) ◽  
pp. 721-727
Keyword(s):  
Power System ◽  
Optimal Solution ◽  
Pso Algorithm ◽  
Fast Response ◽  
Vital Role ◽  
Coordination Problem ◽  
Bee Colony ◽  
Overcurrent Relays ◽  
Optimal Coordination ◽  
Protective Relays

In modern power system, protective relays are playing a vital role for protection of the whole system. The efficiency and reliability of whole protection system depends upon the combined and coordinated operation of protective devices such as relays, circuit breakers etc. Moreover, both types of relays viz., primary and backup relays have been used for smooth and reliable operation of the power system from years. A primary directional over current relay (DOCR) is setup for the fast response of any faulty condition. If it fails, then backup relay perform the same task after some time gap. Three different setting such as plug-setting multiplier (PSM), pickup current settings and time multiplier setting (TMS) are required of performing the operation. In this paper, three very popular swarm based meta-heuristic such as particle swarm optimization (PSO), artificial bee colony (ABC) and a recent hybridization of both, i.e., hybrid ABC-PSO have been implemented for the calculation of optimal coordination problem. This coordination problem is treated for continuous settings optimization for TMS and pickup current. An IEEE 8 bus system without grid has been opted for validation of the results. It is evident from the study that the hybrid ABC-PSO based proves to generate optimal solution providing better convergence rate as compared to individual PSO and ABC algorithm.

scholarly journals Improved Firefly Algorithm for the Optimal Coordination of Directional Overcurrent Relays

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 78503-78514 ◽  
Author(s):  
Tahir Khurshaid ◽  
Abdul Wadood ◽  
Saeid Gholami Farkoush ◽  
Chang-Hwan Kim ◽  
Jiangtao Yu ◽  
...  
Keyword(s):  
Firefly Algorithm ◽  
Improved Firefly Algorithm ◽  
Overcurrent Relays ◽  
Optimal Coordination

DEVELOPMENT OF BONOBO ALGORITHM AND ITS APPLICATION FOR OPTIMAL COORDINATION OF DIRECTIONAL OVERCURRENT RELAYS IN POWER SYSTEMS

10.6036/10060 ◽  
2021 ◽  
Vol 96 (5) ◽  
pp. 492-497
Author(s):  
MOHAMMED ABDELHAMID ◽  
SALAH KAMEL ◽  
ALI SELIM ◽  
MOHAMED MOHAMED ◽  
MAHDROUS AMED ◽  
...  
Keyword(s):  
Power Systems ◽  
Optimization Algorithm ◽  
Operating Time ◽  
Lévy Flight ◽  
Levy Flight ◽  
System Protection ◽  
Total Operating Time ◽  
Overcurrent Relays ◽  
Optimal Coordination ◽  
Operational Constraints

In this paper, an improved Bonobo optimization algorithm (IBO) is proposed to solve the optimal coordination of directional overcurrent relays (DOCRs) problem. This problem is important for power system protection. It is considered a nonlinear and highly constrained optimization problem. IBO aims to improve the performance of the original Bonobo optimization algorithm (BO) using Levy flight distribution and three leaders selection. Both BO and IBO are utilized to develop two solvers for optimal coordination of DOCRs. The 15-bus and 30-bus test systems are used to validate BO and IBO in minimizing the total operating time of relays with satisfying the operational constraints. The results of the proposed IBO algorithm have been compared with the original BO algorithm and other well-known algorithms. The obtained results confirmed the effectiveness and superiority of the proposed IBO algorithm compared with the other algorithms in minimizing the total operating time of relays for the optimal coordination of DOCRs. Keywords: Directional overcurrent relays; Optimal coordination; Improved Bonobo algorithm; Levy flight distribution; Three leaders selection.

Adaptive modified firefly algorithm for optimal coordination of overcurrent relays

2017 ◽  
Vol 11 (10) ◽  
pp. 2575-2585 ◽  
Author(s):  
Anang Tjahjono ◽  
Dimas O. Anggriawan ◽  
Alfa K. Faizin ◽  
Ardyono Priyadi ◽  
Margo Pujiantara ◽  
...  
Keyword(s):  
Firefly Algorithm ◽  
Overcurrent Relays ◽  
Optimal Coordination ◽  
Modified Firefly Algorithm

A Multi-Variable Approach to Determine the “Best” Gear Design

2000 ◽  
Author(s):  
Donald R. Houser ◽  
Jonny Harianto ◽  
B. Chandrasekaran ◽  
John Josephson ◽  
Naresh Iyer
Keyword(s):  
Objective Function ◽  
Optimization Techniques ◽  
Response Variable ◽  
Gear Design ◽  
Variable Approach ◽  
Design Variables ◽  
Simulation Based ◽  
To Come ◽  
Selection Of ◽  
Response Variables

Abstract Gear design requires the designer to compromise many design variables in order to determine the best performance of a gear set. Unfortunately the designer has a multiplicity of goals including keeping both bending and pitting stresses under an allowable value, minimizing scoring, achieving minimum efficiency and trying to minimize noise. This latter response variable is rarely considered in the initial gear design. In this work, noise is considered to be one of the more important design considerations. One approach to multi-variable gear design that has been tried is design optimization. Usually optimization techniques are limited in the number of variables that can be handled and with so many response variables, it is difficult to come up with an objective function that reflects the considerations of a real gear designer. In this paper we present a simulation-based approach to gear design that allows the designer to essentially “run all of the cases”. The simulation accounts for the true load distribution of the gears when computing response variables. Also, such factors as manufacturing tolerances may be included in the simulation so that truly robust designs may be obtained. Rather than using an objective function approach, designs are analyzed with a dominance filter that assesses each response variable in a manner that results in the “best” design. After these “best” designs are found, an interactive viewer allows the selection of those designs that best meet the designer’s goals with regard to all design variables. Several examples are presented in this paper. In each case, over 65,000 designs are evaluated and the dominance filter results in from 200 to 900 successful designs, depending on the tolerances that are applied. After sorting with the viewer the designer usually ends up with from 5 to 20 designs whose features may vary significantly, but have similar performances.

Modified Swarm Firefly Algorithm for Optimal Settings of Directional Overcurrent Relays

2015 ◽  
Vol 793 ◽  
pp. 473-477
Author(s):  
Muhamad Hatta Hussain ◽  
Ismail Musirin ◽  
Ahmad Farid Abidin ◽  
S.R.A. Rahim
Keyword(s):  
Particle Swarm Optimization ◽  
Firefly Algorithm ◽  
Operating Time ◽  
Particle Swarm ◽  
Coordination Problem ◽  
Swarm Optimization ◽  
New Approach ◽  
Overcurrent Relays ◽  
Optimal Values ◽  
Simulation Results

This paper presents a new approach known as Modified Swarm Firefly Algorithm (MSFA) technique in solving Directional Overcurrent Relays (DOCRs) coordination problem by minimizing the operating time of primary relays at near-end fault. DOCRs coordination requires the optimal values of Time Multiplier Setting (TMS) whereas the pickup current (Ip) values are based on load and data fault. The proposed technique is tested on IEEE 14-bus system and is compared with Particle Swarm Optimization (PSO). The simulation results revealed that the MSFA technique outperformed PSO in terms of minimizing fitness values.

scholarly journals Improved Firefly Algorithm: A Novel Method for Optimal Operation of Thermal Generating Units

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-23 ◽  
Author(s):  
Thang Trung Nguyen ◽  
Nguyen Vu Quynh ◽  
Le Van Dai
Keyword(s):  
Objective Function ◽  
Firefly Algorithm ◽  
Optimal Solution ◽  
Optimal Operation ◽  
Random Numbers ◽  
Fuel Cost ◽  
Step Size ◽  
Spinning Reserve ◽  
Solution Quality ◽  
Improved Firefly Algorithm

This paper presents a novel improved firefly algorithm (IFA) to deal the problem of the optimal operation of thermal generating units (OOTGU) with the purpose of reducing the total electricity generation fuel cost. The proposed IFA is developed based on combining three improvements. The first is to be based on the radius between two solutions, the second is updated step size for each considered solution based on different new equations, and the third is to slightly modify a formula producing new solutions by using normally distributed random numbers and canceling uniform random numbers of conventional firefly algorithm (FA). The effect of each proposed improvement on IFA is investigated by executing five benchmark functions and two different systems. The performance of IFA is investigated on six other study cases consisting of different types of objective function and complex level of constraints. The objective function considers single fuel with quadratic form and nonconvex form, and multifuels with the sum of several quadratic and nonconvex functions while a set of constraints taken into account are power loss, prohibited zone, ramp rate limit, spinning reserve, and all constraints in transmission power networks. The obtained results indicate the proposed improvements in terms of high optimal solution quality, stabilization of search ability, and fast convergence compared with FA. In addition, the comparisons with other methods also lead to a conclusion that the proposed method is a very promising optimization tool for systems with quadratic fuel cost function and with complicated constraints.

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