A Second-Order Particle Swarm Model on a Sphere and Emergent Dynamics

2019 ◽  
Vol 18 (1) ◽  
pp. 80-116 ◽  
Author(s):  
Seung-Yeal Ha ◽  
Dohyun Kim
Keyword(s):  
Particle Swarm ◽  
Second Order ◽  
Emergent Dynamics

scholarly journals Examination of Particle Tails

2008 ◽  
Vol 2008 ◽  
pp. 1-10 ◽  
Author(s):  
Tim Blackwell ◽  
Dan Bratton
Keyword(s):  
Power Law ◽  
Difference Equations ◽  
Particle Swarm ◽  
Second Order ◽  
Particle Swarm Optimisation ◽  
Position Distribution ◽  
Length Scales ◽  
Stochastic Difference Equations ◽  
First Order ◽  
Second Order Equations

The tail of the particle swarm optimisation (PSO) position distribution at stagnation is shown to be describable by a power law. This tail fattening is attributed to particle bursting on all length scales. The origin of the power law is concluded to lie in multiplicative randomness, previously encountered in the study of first-order stochastic difference equations, and generalised here to second-order equations. It is argued that recombinant PSO, a competitive PSO variant without multiplicative randomness, does not experience tail fattening at stagnation.

Fault Diagnosis of Gearbox Using Particle Swarm Optimization and Second-Order Transient Analysis

2017 ◽  
Vol 139 (2) ◽  
Author(s):  
Sajid Hussain
Keyword(s):  
Experimental Data ◽  
Particle Swarm Optimization ◽  
Transient Analysis ◽  
Bandpass Filter ◽  
Particle Swarm ◽  
Second Order ◽  
Swarm Optimization ◽  
Vibration Signals ◽  
Health Related ◽  
Feature Extraction Technique

Detection of faults in a gearbox is a first and foremost step before diagnostic and prognostic operations are performed. This paper proposes a novel gearbox fault detection and feature extraction technique. The proposed method adaptively filters the vibration signals emanating from a gearbox. A bandpass filter is designed and optimized through particle swarm optimization (PSO) to maximize kurtosis as an objective function. Gearbox health-related features are extracted from the filtered signals using second-order transient analysis. The method is validated on experimental data collected from a running gearbox in healthy and faulty conditions. The proposed method has successfully identified the faulty conditions inside the gearbox.

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