Theoretical Analysis And Applications Of Firefly Algorithm

Imitating the process to hunt prey and transmit signals in insects,swarm intelligent algorithms belong to bio-inspired algorithm.Similarly,imitating the process to exchange inf ormation and attract each other by light in fireflies,firefly algorithm,as a novel sw arm intelligent algorithm,was modeled and proposed by the scholar Xin-She Yang in University of Cambridge in 2008.Since it was introduced,firefly algorithm has obtained much attention and is still the focus in areas of swarm intelligent algorithms.Firefly algorithm has been deduced and an alyzed in detail,and motivating from two-order oscillation,a novel and improved firefly algorithm has been proposed in this paper.Then,for excellent ability of optimization,firefly algorithm will be used in induction motor speed control system and fault diagnosis in analog circuits.So,the related research works are as followed:(1)Introduce and describe the development status of firefly algorithm at present in domestic and overseas.Summarize the theoretical research of firefly algorithm and its development course in past time by referencing related literatures,and briefly discuss its advantages in optimized issues fully,as well as its research status at present in domestic and overseas.(2)Improve standard firefly algorithm and propose an improved firefly algorithm based on two-order oscillation.In troduce the basic principles and for mulas of firefly algorithm,explain its theories and deduce its equations of iterations,thus,prove its convergence,stability and its draw back that easily falls into local optim al points.Then,according to stability of system,a novel and im proved firefly algorithm based on two-order oscillation will be proposed and explained in this paper,and six classical binary function with more peaks will be used to test its performances.The results of simulations indicate our proposed method holds better performances.(3)Propose a new method based on firefly algorithm to conform parameters of PID in IM.Aiming to the issue that parameters of PID can't be adjusted accurately in induction motor speed control system,a new method based on firefly algorithm to conform parameters of PID has been proposed in this paper.And a simulation model has been established in the platform of MATLAB/Simulink.Compared with genetic algorithm(GA),more precise parameters of PID can be found with proposed method,and can obtain speed curve with fast convergence and little static deviation.(4)Propose a new method based on firefly algorithm based on PID separation and mapping to conform parameters of PID in IM.In view of the defect of premature or precocious convergence in firefly algorithm,a new way,based on PID separation and mapping,is introduced in detail.In this proposed method,one-dimensional vector of firefly can be mapped to three-dimensional vector in PID by m apping equation.And performance can be changed by adjusting direction coef ficient and separation coefficient.Compared with GA,more superior performances can be obtained with proposed method.(5)Propose a novel m ethod for analog circuit fault diagnosis based on extreme learning machine and firefly algorithm.Aiming to the problem that faults occurs frequently,but not easy to diagnose them,this paper has proposed a novel method for analog circuit fault diagnosis based on extreme learning machine(ELM)as classifier which is optimized firefly algorithm(FA)is proposed.The input weights and biases between input layer and hidden layer in ELM will be optimized by firefly algorithm to improve performance of ELM.And Sallen-Key low pass filter will be used to test effects.(6)Propose a novel m ethod for analog circuit fault diagnosis based on extreme learning machine,chaotic map and firefly algorithm.For the drawback that easily falls into local optimal points in firefly algorithm,chaotic map(CM)will be drawn into above proposed method,a way based on FA,CM and ELM for analog circuit fault diagnosis also will be proposed.In this way,chaotic theory will be regarded as a kind of disturbance factor to reduce possibility that easily falls into local optimal points.So,search abilities of all fireflies can be used effectively,performance of firefly algorithm can be improved in a way.Sallen-Key low pass filter will be used to test effects.The results of simulations indicate our proposed method can improve its performances in a way.