Extended Angular-Velocity Vold–Kalman Order Tracking

2010 ◽  
Vol 132 (3) ◽  
Author(s):  
Min-Chun Pan ◽  
Cheng-Xue Wu
Keyword(s):  
Angular Velocity ◽  
Planetary Gear ◽  
Transmission System ◽  
Theoretical Derivation ◽  
Order Tracking ◽  
Electric Scooter ◽  
Rotary Machines ◽  
Machine Elements ◽  
Order Components

Dynamic signals acquired from rotary machines can be characterized by the order tracking (OT) techniques. The extracted order components correspond to the operation of specific machine elements and reflect their current healthy or faulty states. The study extends the angular-velocity Vold–Kalman OT scheme to simultaneously extract multiple order components. Theoretical derivation is illustrated with simulation of processing three synthetic signals to show its merit. Additionally, as an example to validate its effectiveness, the improved OT scheme is used to process pass-by noise emitted from an electric scooter with a planetary-gear-set transmission system. The gear-meshing orders are effectively decoupled from structure-borne resonances.

Online Real-Time Monitoring System Through Using Adaptive Angular-Velocity VKF Order Tracking

2012 ◽  
Author(s):  
Ting-Chi Yeh ◽  
Min-Chun Pan
Keyword(s):  
Angular Velocity ◽  
Real Time ◽  
Monitoring System ◽  
Condition Monitoring ◽  
Theoretical Derivation ◽  
Periodic Loading ◽  
Order Tracking ◽  
Computation Scheme ◽  
Condition Monitoring System ◽  
Operation Status

When rotary machines are running, acousto-mechanical signals acquired from the machines are able to reveal their operation status and machine conditions. Mechanical systems under periodic loading due to rotary operation usually respond in measurements with a superposition of sinusoids whose frequencies are integer (or fractional integer) multiples of the reference shaft speed. In this study we built an online real-time machine condition monitoring system based on the adaptive angular-velocity Vold-Kalman filtering order tracking (AV2KF_OT) algorithm, which was implemented through a DSP chip module and a user interface coded by the LabVIEW®. This paper briefly introduces the theoretical derivation and numerical implementation of computation scheme. Experimental works justify the effectiveness of applying the developed online real-time condition monitoring system. They are the detection of startup on the fluid-induced instability, whirl, performed by using a journal-bearing rotor test rig.

Order Tracking Techniques in Diagnostic Tasks

2005 ◽  
Author(s):  
Min-Chun Pan
Keyword(s):  
Kalman Filtering ◽  
Angular Displacement ◽  
Signal Reconstruction ◽  
Ecg Signal ◽  
Order Tracking ◽  
Electric Scooter ◽  
Spectral Components ◽  
Rotary Machines ◽  
Specific Order

Order tracking techniques have been applied in processing dynamic signals measured from rotary machines for decades. The developed order tracking techniques can be classified into waveform reconstruction and non-reconstruction approaches. The waveform-reconstruction schemes such as the Gabor and the Vold-Kalman filtering order tracking techniques can extract specific order and/or spectral components in addition to characterizing the processed signal in an rpm-frequency plane. The paper objectively compares the characteristics of the improved Gabor order tracking and angular-displacement Vold-Kalman Filtering order tracking schemes. Two diagnostic tasks including ECG signal reconstruction to enhance tiny information, and the characterization of crossing-order noise measured from a riding electric scooter, are accomplished as examples of application.

Dynamic-Signal Characterization of Rotary Machinery Using Improved Gabor Order Tracking Technique

2005 ◽  
Author(s):  
Min-Chun Pan ◽  
Shu-Wei Liao
Keyword(s):  
Elementary Function ◽  
Dual Function ◽  
Order Tracking ◽  
Rotary Machinery ◽  
Electric Scooter ◽  
Expansion Coefficients ◽  
Order Components ◽  
Gabor Expansion ◽  
Signal Characterization

The study proposes an improved Gabor order tracking (GOT) technique to cope with crossing orders that cannot be effectively separated by using the original GOT scheme. The improvement aids both the reconstruction and interpretation of two crossing orders such as a transmission-element- related order component and a structural resonance. The dual function of the Gabor elementary function can affect the precision of tracked order components. Its influence on the computed Gabor expansion coefficients is investigated in the study. For applying the improved GOT in practical works, the separation and extraction of close-order components of vibration signals measured from a transmission-element test bench is illustrated by using both the GOT and Vold-Kalman filtering OT schemes. Additionally, the ranking of noise components from a riding electric scooter is demonstrated.

scholarly journals Online Real-Time Monitoring System through Using Adaptive Angular-Velocity VKF Order Tracking

2018 ◽  
Author(s):  
Ting-Chi Yeh ◽  
Min-Chun Pan ◽  
Duc Do Le
Keyword(s):  
Angular Velocity ◽  
Real Time ◽  
Monitoring System ◽  
Digital Signal Processor ◽  
Digital Signal ◽  
Health Condition ◽  
Real Time Monitoring ◽  
Theoretical Derivation ◽  
Rotary Machine ◽  
Order Tracking

When a rotary machine is running, from which the acquired vibro-acoustic signals enable to reveal its operation status and health condition. The study proposed a DSP-based adaptive angular-velocity Vold-Kalman filtering order tracking (AV2KF_OT) algorithm with an online real-time nature for signal interpretation and machine condition monitoring. Theoretical derivation and numerical implementation of computation schemes are briefly introduced. An online real-time monitoring system based on the AV2KF_OT algorithm, which was implemented through both a digital signal processor and a user interface coded by using LabVIEW, was developed. Two experimental tasks were applied to justify the proposed technique, including (i) the detection of startup on the fluid-induced whirl performed through a journal-bearing rotor rig, and (ii) the separation of close orders from the measured signals of a multifunction transmission-element ball-bearing bench.

Dynamic Signal Interpretation of Rotary Machines Using Adaptive Order Tracking

2007 ◽  
Author(s):  
Min-Chun Pan ◽  
Cheng-Xue Wu
Keyword(s):  
Experimental Validation ◽  
Weighting Factor ◽  
Theoretical Derivation ◽  
Processing Application ◽  
Real Time Processing ◽  
Synthetic Signal ◽  
Order Tracking ◽  
Rotary Machinery ◽  
On Line ◽  
Order Components

This paper proposes and implements an adaptive Vold-Kalman filtering order tracking (VKF_OT) approach to overcome the deficiencies of the original VKF_OT scheme for condition monitoring and diagnosis of rotary machinery. This article comprises theoretical derivation, numerical implementation and experimental validation. Comparisons of the adaptive scheme to the original are accomplished through processing a synthetic signal composed of close order components. Parameters such as the weighting factor and the correlation matrix of process noise, which influences tracking performance, are investigated in the study. The adaptive OT scheme based on the Kalman filter can be computed on-line and implemented as a real-time processing application. This paper also illustrates experimental validation through the separation of two close orders arising from a transmission test bench.

scholarly journals Dynamic characteristics analysis of planetary gear system with internal and external excitation under turbulent wind load

2021 ◽  
Vol 104 (3) ◽  
pp. 003685042110356
Author(s):  
Hexu Yang ◽  
Xiaopeng Li ◽  
Jinchi Xu ◽  
Zemin Yang ◽  
Renzhen Chen
Keyword(s):  
Wind Speed ◽  
Wind Turbine ◽  
Nonlinear Dynamic ◽  
Planetary Gear ◽  
Wind Load ◽  
Transmission System ◽  
Gear Transmission ◽  
Stiffness Ratio ◽  
Gear Transmission System ◽  
Planetary Gear System

According to the working characteristics of a 1.5 MW wind turbine planetary gear system under complex and random wind load, a two-parameter Weibull distribution model is used to describe the distribution of random wind speed, and the time-varying load caused by random wind speed is obtained. The nonlinear dynamic model of planetary gear transmission system is established by using the lumped parameter method, and the relative relations among various components are derived by using Lagrange method. Then, the relative relationship between the components is solved by Runge Kutta method. Considering the influence of random load and stiffness ratio on the planetary gear transmission system, the nonlinear dynamic response of cyclic load and random wind load on the transmission system is analyzed. The analysis results show that the variation of the stiffness ratio makes the planetary gear have abundant nonlinear dynamics behavior and the planetary gear can get rid of chaos and enter into stable periodic motion by changing the stiffness ratio properly on the premise of ensuring transmission efficiency. For the variable pitch wind turbine, the random change of external load increases the instability of the system.

Order-Component Separation and Ranking of Dynamic Signals Using Angular-Information Kalman-Filtering Order Tracking

2003 ◽  
Author(s):  
Min-Chun Pan ◽  
Yu-Fong Lin
Keyword(s):  
Noise Reduction ◽  
Kalman Filtering ◽  
Test Bench ◽  
Order Component ◽  
Design Modification ◽  
Trouble Shooting ◽  
Order Tracking ◽  
Spectral Components ◽  
Order Components ◽  
Tracking Filter

This paper presents advanced order tracking techniques using the Kalman tracking filter with angular information to extract both close and cross order components from measured dynamic signals. Separated order components can be ranked for the purpose of trouble shooting and design modification. In the study, close-order components resulting from shaft unbalancing and gear meshing of a transmission element test bench can be extracted precisely. In addition, for the pass-by noise measurement of CVT-driving electrical scooters, spectral components can be ranked appropriately for a further noise reduction task.

Adaptive Angular-Velocity Vold-Kalman Order Tracking Used in Characterizing Dynamic Signals Measured From Rotary Machines

2009 ◽  
Author(s):  
Min-Chun Pan ◽  
Wei-Chen Chu
Keyword(s):  
Processing Parameters ◽  
Weighting Factor ◽  
Theoretical Derivation ◽  
Processing Application ◽  
Real Time Processing ◽  
Synthetic Signal ◽  
Order Tracking ◽  
Rotary Machinery ◽  
On Line ◽  
Experimental Justification

In this paper we propose and implement an order tracking (OT) technique evaluating in an adaptive manner for signal interpretation and diagnosis of rotary machinery during operation. The paper comprises theoretical derivation, numerical implementation and experimental justification. Comparisons of the adaptive Vold-Kalman filtering OT (VKFOT) scheme to its conventional form are made through synthetic signal processing. Parameters such as the weighting factor, Q1 parameter, sampling frequency and process noise, which influence tracking performance, are investigated. Moreover, this adaptive OT scheme can be computed on-line and implemented as a real-time processing application.

Design of a Series-Type Independently Controllable Transmission Mechanism

2012 ◽  
Author(s):  
Guan-Shyong Hwang ◽  
Der-Min Tsay ◽  
Jao-Hwa Kuang ◽  
Tzuen-Lih Chern ◽  
Tsu-Chi Kuo
Keyword(s):  
Angular Velocity ◽  
Planetary Gear ◽  
Transmission Mechanism ◽  
Alternative Form ◽  
Input Shaft ◽  
Planetary Gear Trains ◽  
Variable Transmission ◽  
Infinitely Variable Transmission ◽  
Gear Trains ◽  
Series Type

This study proposes a design of transmission mechanism which is referred to as a series-type independently controllable transmission (ICT). The series-type ICT is an alternative form of the parallel-types proposed in the former researches. The series-type ICT can serve as a continuously or an infinitely variable transmission mechanism, and it can also produce a required angular output velocity that can be independently manipulated by a controller and not affected by the angular velocity of the input shaft. The series-type ICT mechanism is composed of two planetary gear trains and two transmission-connecting members. Kinematic and dynamic characteristics of the ICT mechanism are analyzed and their analytical equations are derived for application in this study.

A Gear-Chain Based Transmission for the Machine Elements Design Laboratory

2018 ◽  
Author(s):  
Salim Azzouz ◽  
Guy Bernard
Keyword(s):  
Mechanical Engineering ◽  
Engineering Students ◽  
Planetary Gear ◽  
Vehicle Performance ◽  
Vehicle Loading ◽  
Engineering Department ◽  
Variable Transmission ◽  
Machine Elements ◽  
A Chain ◽  
Engine Components

This project describes the collaboration of two instructors, one from the mechanical engineering department and one from the mathematics department with a group of mechanical engineering students to build and analyze a new type of transportation transmission. Current transmissions have torque limitations when working at various vehicle loading conditions. The ideal vehicle transmission is a continuously variable transmission that delivers optimum torque at any loading condition. The motivation for this research project is to design a new transmission that would increase the number of gear ratios using a chain element, and consequentially, increasing the number of available torques to achieve better overall vehicle performance. The new transmission consists of two planetary gears systems linked by a chain. It includes multiple inputs and outputs with the possibility of using one of the outputs to drive other engine components. The system is currently investigated for all possible gear ratios and usable torque configurations. The gear ratios are determined using Willis’s formula for planetary gear systems. All possible gear combinations are investigated and their gear ratios mathematically determined. A prototype was designed and built. It is being automatized, currently.

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