Analysis of the No-Load Characteristic of the Moving Coil Linear Compressor
|
|
- Damian Gray
- 5 years ago
- Views:
Transcription
1 Purdue Uiversity Purdue e-pubs Iteratioal Compressor Egieerig Coferece School of Mechaical Egieerig 008 Aalysis of the No-Load Characteristic of the Movig Coil Liear Compressor Yigbai Xie North Chia Electric Power Uiversity Xiuzhi Huag North Chia Electric Power Uiversity Liagmig Gui North Chia Electric Power Uiversity Zhouxua Xu North Chia Electric Power Uiversity Follow this ad additioal works at: Xie, Yigbai; Huag, Xiuzhi; Gui, Liagmig; ad Xu, Zhouxua, "Aalysis of the No-Load Characteristic of the Movig Coil Liear Compressor" (008). Iteratioal Compressor Egieerig Coferece. Paper This documet has bee made available through Purdue e-pubs, a service of the Purdue Uiversity Libraries. Please cotact epubs@purdue.edu for additioal iformatio. Complete proceedigs may be acquired i prit ad o CD-ROM directly from the Ray W. Herrick Laboratories at Herrick/Evets/orderlit.html
2 , Page 1 Aalysis of the No-Load Characteristic of the Movig Coil Liear Compressor Yigbai XIE 1, Xiuzhi HUANG *, Liagmig GUI 3, Zhouxua XU 4 1,,3,4 Departmet of Power Egieerig, North Chia Electric Power Uiversity, Baodig, Hebei Chia Tel: Fax: xieyb@cepu.edu.c huag_xiuzhi@hotmail.com 3 guiliagmi006@163.com 4 steffie@sia.com ABSTRACT The liear compressor is drive by a liear motor. The efficiecy of the whole uit is higher tha that of the traditioal compressor. A movig coil liear compressor is take for a example to fid its o-load characteristic. The ope loop ad closed loop trasfer fuctios of the system i o-load coditio are obtaied derived from the equatio of system motio. The Matlab software is applied to aalyze the stability, time domai ad frequecy domai of the system. Result idicates that the movig coil liear compressor is almost stable at o-load stage, ad the characteristic of starig is relative fast, but the overshoot is relative high, ad the dampig ratio should be icrease to lower the overshoot. 1. INTRODUCTION A liear compressor is a pisto-type compressor i which the pisto is drive by a liear motor, rather tha by a rotary motor coupled to a coversio mechaism as i a covetioal reciprocatig compressor (Uger, R.Z., 1998). Liear motors are simple devices i which axial forces are geerated by currets i a magetic field. Because all the drivig forces i a liear compressor act alog the lie of motio, there is o sideways thrust o the pisto, substatially reducig bearig loads ad allowig the use of gas bearigs or low viscosity oil. The liear compressor is ow prove i a variety of hardware. Its efficiecy, modulatio, oil-free optio, ad features that should make it compete successfully with covetioal compressor over a wide rage of applicatios (Uger, R.Z., va der Walt, N.R., 1996). The chageability if the pisto stroke is oe of the characters of the liear compressor. It ca make the compressor easy start at differetial pressure ad adjust to the chage of the load. The chage of the pisto stroke ca lead to the chage of the pressure ratio, clearace ad dead poit of the compressor. This paper takes the movig coil liear compressor for example, by foudig motio equatios to aalysis stability, time ad frequecy of cotrol system.. DYNAMIC MODEL A schematic movig coil liear compressor is showed i figure 1. It uses permaet-maget to excite. Whe alterate curret flows though the coil, at the fuctio of magetic field, the coil geerates alterate axial force Iteratioal Compressor Egieerig Coferece at Purdue, July 14-17, 008
3 , Page which makes the pisto do reciprocatig motio to compress the gas. This compressor has may characteristics such as simple costructio, compact, high efficiecy, lower startig curret flow ad so o. Coil Refrigerat ilet Valve plate Pisto Refrigerat outlet Permaet maget The motio equatio of the system showed i figure 1 is Figure 1 The costructio of movig coil liear compressor M d X dt dx C dt KX BIL p (1) Where M is the mass of the movig coil ad pisto, C is dampig costat, K is sprig effect, B is magetic iductio itesity, L is the legth of coil. I equatio (1) P is the chage of the gas which belogs to disturb variable. Because we oly do research o the o-load characteristic of the system, take o accout of it. This system is a sigle iput ad sigle output (SISO) LTI system, i which the curret flow I is iput variable ad the displacemet X is output variable. Usig Laplace trasform, the ope loop trasfer fuctios of the mechaical system ca be obtai Figure is closed loop trasfer fuctios block diagram of the system. X ( s ) BL G ( s ) () I ( s ) Ms Cs K Figure The block diagram of vibratig system Accordig to the costructio characters ad optimizig computer results of liear compressor, choose the parameters M=0.3 kg, C=0.7 N.s/m, K=7.365 kn/m, B=0.5 T, L=4m. 3. ANALYSE OF SYSTEM PERFORMANCE All the characters of a system lies o the closed loop trasfer fuctios, stability lies o the pole, ad dyamic performace lies o the pole ad zero. Accordig to figure, the closed loop trasfer fuctio ca be obtaied from the ope loop trasfer fuctio G( s) H ( s) ( s) (3) 1 G( s) H ( s) Iteratioal Compressor Egieerig Coferece at Purdue, July 14-17, 008
4 , Page 3 Where H(s)=1, from the ormalized form of closed loop trasfer fuctio s 0 (4) We ca get the closed loop characteristic root s ad importat characteristic parameter such as dampig ratio = , udamped oscillatio frequecy =157rad/s ad so o. s 3.1 Time aalyse Stability aalyse Pole determies the iherece movig attribute of the system. Its positio determies the stability ad rapidity of movig modality. Whe the pole has egative real part or is a egative real umber, the correspodig modality must be coverget. Through computer this system has a pair of cojugate complex (pole) of which the real part is egative s 1, = -1.17±157i. Sice the two root of the system both has egative real part, we ca estimate this system is steady Time domai respose Figure 3 is step respose of the system. The pole y=0.0041, delay time t d =0.007s, rise time t r =0.001s, pole time t p =0.004s, adjustig time t s =3s, overshoot %=95.9%. This system belogs to secod-order oscillatio segmet. Dyamic course aalyse: because 01 s 1, j 1 (5) Characteristic equatio has a pair of cojugate complex roots of which the real part is egative. Its roots correspod a pair of cojugate complex pole at the left of s plae. The characteristics of this periodic dampig secod-order system are (1) The overshoot is fuctio of dampig ratio, ad is idepedet of oscillatig frequecy. The smaller dampig ratio is, the bigger oscillatig frequecy is; () The smaller dampig ratio is, the smaller rise time is; (3) The respose speed of system is relative to the agular frequecy of udamped free oscillatio. The bigger is, the higher respose speed is. Accordig to the computig results, udersize of dampig ratio ca lead overshoot over. So it must be adjusted. Figure 3 Step respose of the system 3. Root locus aalyse Iteratioal Compressor Egieerig Coferece at Purdue, July 14-17, 008
5 , Page 4 Figure 4 is the root locus diagram. The root locus starts from the two symmetrical poles at ureal axis to ifiite distace with growig of closed loop gai k g. As both the closed loop poles are i the left part of s plae, the system is stability. But closed loop pole are both complex pole. Its uit-step respose is uderdamped oscillatio respose, ad the bigger k g. (closed loop gai) is, the bigger overshoot is. Figure 4 Root locus diagram of the system 3.3 Frequecy aalyse Frequecy characteristic is the frequecy related to the iput ad output complex sig ratio at steady state whe the liear system or segmet effected by sie fuctio. It attributes the dyamic law of system. Figure 5 is Bode diagram of system (the upper figure is magitude, the ether figure is phase). Its pole M t =0.081, harmoic frequecy r =156.7rad/s. The expressio of magitude is L( ) 0lg 1 (6) (1 ) 4 whe <<, L()-58dB; whe >>, L()-40lg/. Figure 5 Bode diagram of the system Iteratioal Compressor Egieerig Coferece at Purdue, July 14-17, 008
6 , Page 5 We ca see from Bode diagram, the frequecy of this oscillatio segmet is r. The magitude characteristic reaches the max at harmoic frequecy, ad the pole depeds o dampig ratio. If the harmoic frequecy of system is over, it ca cause the overshoot of dyamic respose over. It ca ifluece stability of system. The expressio of phase is whe =0, (0)=0; whe =,.( )=-90; whe, ( )=-180. ( ) arcta (7) 1 Dampig ratio ca ifluece the chage rate of () at the eighborhood of =. The smaller the dampig ratio is, the bigger the chage rate is. Figure 6 is Nyquist diagram. Because that the umber of pole of trasfer fuctio G(s) at s plae is zero, ad Nyquist diagram does ot eclose poit (-1,j0). Accordig to Nyquist criterio, the umber of pole of closed loop system at the right of s plae is zero. So the closed loop system is steady. Figure 6 Nyquist diagram of the system 4. CONCLUSIONS Accordig to the chrematistics of movig coil liear compressor, foud mathematic model of system. The Matlab software is applied to aalyze the stability, time domai ad frequecy domai of the system. (1) Accordig to stability aalyse, Nyquist diagram, we ca coclude that the movig coil liear compressor is almost stable at o-load stage; () Accordig to time-domai aalysis, root locus diagram ad Bode diagram, we ca get that the overshoot is relative high, ad the dampig ratio should be icrease to lower the overshoot. REFERENCES Huag, B.J, Che, Y.C., 00, System Dyamics ad Cotrol of a Liear Compressor for Stroke ad Frequecy Adjustmet, Joural of Dyamic Systems, Measuremet, ad Cotrol, vol. 5, o. 14: P Iteratioal Compressor Egieerig Coferece at Purdue, July 14-17, 008
7 , Page 6 Tae, W.C., Jug, R., 004, Aalysis ad cotrol for Compressor System Drive by PWM Iverter, The 30th Aual Cof. of the IEEE Idustrial Electroics Society, p Uger, R.Z., 1998, Liear Compressors for Clea ad Specialty Gases, Proc. of It. Compressor Egieerig Cof., Purdue Uiversity, West Lafayette, p Uger, R.Z., va der Walt, N.R., 1996, Liear Compressor for No-CFC Refrigeratio, It. Appliace Techical Cof.,Purdue Uiversity, West Lafayette, P Xie, J.F., 005, Theory ad Experimetal Research of the Movig-magetic Liear Compressor, Dr. Thesis of Zhejiag Uiversity, P Iteratioal Compressor Egieerig Coferece at Purdue, July 14-17, 008
Chapter 2 Feedback Control Theory Continued
Chapter Feedback Cotrol Theor Cotiued. Itroductio I the previous chapter, the respose characteristic of simple first ad secod order trasfer fuctios were studied. It was show that first order trasfer fuctio,
More informationMechatronics. Time Response & Frequency Response 2 nd -Order Dynamic System 2-Pole, Low-Pass, Active Filter
Time Respose & Frequecy Respose d -Order Dyamic System -Pole, Low-Pass, Active Filter R 4 R 7 C 5 e i R 1 C R 3 - + R 6 - + e out Assigmet: Perform a Complete Dyamic System Ivestigatio of the Two-Pole,
More informationCourse Outline. Designing Control Systems. Proportional Controller. Amme 3500 : System Dynamics and Control. Root Locus. Dr. Stefan B.
Amme 3500 : System Dyamics ad Cotrol Root Locus Course Outlie Week Date Cotet Assigmet Notes Mar Itroductio 8 Mar Frequecy Domai Modellig 3 5 Mar Trasiet Performace ad the s-plae 4 Mar Block Diagrams Assig
More informationAnswer: 1(A); 2(C); 3(A); 4(D); 5(B); 6(A); 7(C); 8(C); 9(A); 10(A); 11(A); 12(C); 13(C)
Aswer: (A); (C); 3(A); 4(D); 5(B); 6(A); 7(C); 8(C); 9(A); 0(A); (A); (C); 3(C). A two loop positio cotrol system is show below R(s) Y(s) + + s(s +) - - s The gai of the Tacho-geerator iflueces maily the
More informationDr. Seeler Department of Mechanical Engineering Fall 2009 Lafayette College ME 479: Control Systems and Mechatronics Design and Analysis
Dr. Seeler Departmet of Mechaical Egieerig Fall 009 Lafayette College ME 479: Cotrol Systems ad Mechatroics Desig ad Aalysis Lab 0: Review of the First ad Secod Order Step Resposes The followig remarks
More informationLecture 13. Graphical representation of the frequency response. Luca Ferrarini - Basic Automatic Control 1
Lecture 3 Graphical represetatio of the frequecy respose Luca Ferrarii - Basic Automatic Cotrol Graphical represetatio of the frequecy respose Polar plot G Bode plot ( j), G Im 3 Re of the magitude G (
More informationEXPERIMENT OF SIMPLE VIBRATION
EXPERIMENT OF SIMPLE VIBRATION. PURPOSE The purpose of the experimet is to show free vibratio ad damped vibratio o a system havig oe degree of freedom ad to ivestigate the relatioship betwee the basic
More informationBode Diagrams School of Mechanical Engineering ME375 Frequency Response - 29 Purdue University Example Ex:
ME375 Hadouts Bode Diagrams Recall that if m m bs m + bm s + + bs+ b Gs () as + a s + + as+ a The bm( j z)( j z) ( j zm) G( j ) a ( j p )( j p ) ( j p ) bm( s z)( s z) ( s zm) a ( s p )( s p ) ( s p )
More informationNumerical Methods in Fourier Series Applications
Numerical Methods i Fourier Series Applicatios Recall that the basic relatios i usig the Trigoometric Fourier Series represetatio were give by f ( x) a o ( a x cos b x si ) () where the Fourier coefficiets
More information[ ] sin ( ) ( ) = 2 2 ( ) ( ) ( ) ˆ Mechanical Spectroscopy II
Solid State Pheomea Vol. 89 (003) pp 343-348 (003) Tras Tech Publicatios, Switzerlad doi:0.408/www.scietific.et/ssp.89.343 A New Impulse Mechaical Spectrometer to Study the Dyamic Mechaical Properties
More information2.004 Dynamics and Control II Spring 2008
MIT OpeCourseWare http://ocw.mit.edu 2.004 Dyamics ad Cotrol II Sprig 2008 For iformatio about citig these materials or our Terms of Use, visit: http://ocw.mit.edu/terms. Massachusetts Istitute of Techology
More information2C09 Design for seismic and climate changes
2C09 Desig for seismic ad climate chages Lecture 02: Dyamic respose of sigle-degree-of-freedom systems I Daiel Grecea, Politehica Uiversity of Timisoara 10/03/2014 Europea Erasmus Mudus Master Course Sustaiable
More informationUniversity of California at Berkeley College of Engineering Department of Electrical Engineering and Computer Sciences
A Uiversity of Califoria at Berkeley College of Egieerig Departmet of Electrical Egieerig ad Computer Scieces U N I V E R S T H E I T Y O F LE T TH E R E B E LI G H T C A L I F O R N 8 6 8 I A EECS : Sigals
More informationProblem 1. Problem Engineering Dynamics Problem Set 9--Solution. Find the equation of motion for the system shown with respect to:
2.003 Egieerig Dyamics Problem Set 9--Solutio Problem 1 Fid the equatio of motio for the system show with respect to: a) Zero sprig force positio. Draw the appropriate free body diagram. b) Static equilibrium
More informationStopping oscillations of a simple harmonic oscillator using an impulse force
It. J. Adv. Appl. Math. ad Mech. 5() (207) 6 (ISSN: 2347-2529) IJAAMM Joural homepage: www.ijaamm.com Iteratioal Joural of Advaces i Applied Mathematics ad Mechaics Stoppig oscillatios of a simple harmoic
More informationCHAPTER NINE. Frequency Response Methods
CHAPTER NINE 9. Itroductio It as poited earlier that i practice the performace of a feedback cotrol system is more preferably measured by its time - domai respose characteristics. This is i cotrast to
More informationmx bx kx F t. dt IR I LI V t, Q LQ RQ V t,
Lecture 5 omplex Variables II (Applicatios i Physics) (See hapter i Boas) To see why complex variables are so useful cosider first the (liear) mechaics of a sigle particle described by Newto s equatio
More informationExponential Moving Average Pieter P
Expoetial Movig Average Pieter P Differece equatio The Differece equatio of a expoetial movig average lter is very simple: y[] x[] + (1 )y[ 1] I this equatio, y[] is the curret output, y[ 1] is the previous
More informationUNIVERSITY OF BOLTON SCHOOL OF ENGINEERING BENG (HONS) IN MECHANICAL ENGINEERING SEMESTER 1 EXAMINATION 2016/2017
UNIVERSITY OF BOLTON TW30 SCHOOL OF ENGINEERING BENG (HONS) IN MECHANICAL ENGINEERING SEMESTER EXAMINATION 06/07 ADVANCED THERMOFLUIDS & CONTROL SYSTEMS MODULE NO: AME6005 Date: Thursday Jauary 07 Time:
More informationEE Control Systems
Copyright FL Lewis 7 All rights reserved Updated: Moday, November 1, 7 EE 4314 - Cotrol Systems Bode Plot Performace Specificatios The Bode Plot was developed by Hedrik Wade Bode i 1938 while he worked
More informationCDS 101: Lecture 8.2 Tools for PID & Loop Shaping
CDS : Lecture 8. Tools for PID & Loop Shapig Richard M. Murray 7 November 4 Goals: Show how to use loop shapig to achieve a performace specificatio Itroduce ew tools for loop shapig desig: Ziegler-Nichols,
More information1the 1it is said to be overdamped. When 1, the roots of
Homework 3 AERE573 Fall 08 Due 0/8(M) ame PROBLEM (40pts) Cosider a D order uderdamped system trasfer fuctio H( s) s ratio 0 The deomiator is the system characteristic polyomial P( s) s s (a)(5pts) Use
More informationSchool of Mechanical Engineering Purdue University. ME375 Frequency Response - 1
Case Study ME375 Frequecy Respose - Case Study SUPPORT POWER WIRE DROPPERS Electric trai derives power through a patograph, which cotacts the power wire, which is suspeded from a cateary. Durig high-speed
More information6.003 Homework #3 Solutions
6.00 Homework # Solutios Problems. Complex umbers a. Evaluate the real ad imagiary parts of j j. π/ Real part = Imagiary part = 0 e Euler s formula says that j = e jπ/, so jπ/ j π/ j j = e = e. Thus the
More informationVoltage controlled oscillator (VCO)
Voltage cotrolled oscillator (VO) Oscillatio frequecy jl Z L(V) jl[ L(V)] [L L (V)] L L (V) T VO gai / Logf Log 4 L (V) f f 4 L(V) Logf / L(V) f 4 L (V) f (V) 3 Lf 3 VO gai / (V) j V / V Bi (V) / V Bi
More informationComplex Analysis Spring 2001 Homework I Solution
Complex Aalysis Sprig 2001 Homework I Solutio 1. Coway, Chapter 1, sectio 3, problem 3. Describe the set of poits satisfyig the equatio z a z + a = 2c, where c > 0 ad a R. To begi, we see from the triagle
More information577. Estimation of surface roughness using high frequency vibrations
577. Estimatio of surface roughess usig high frequecy vibratios V. Augutis, M. Sauoris, Kauas Uiversity of Techology Electroics ad Measuremets Systems Departmet Studetu str. 5-443, LT-5368 Kauas, Lithuaia
More informationDamped Vibration of a Non-prismatic Beam with a Rotational Spring
Vibratios i Physical Systems Vol.6 (0) Damped Vibratio of a No-prismatic Beam with a Rotatioal Sprig Wojciech SOCHACK stitute of Mechaics ad Fudametals of Machiery Desig Uiversity of Techology, Czestochowa,
More informationThe axial dispersion model for tubular reactors at steady state can be described by the following equations: dc dz R n cn = 0 (1) (2) 1 d 2 c.
5.4 Applicatio of Perturbatio Methods to the Dispersio Model for Tubular Reactors The axial dispersio model for tubular reactors at steady state ca be described by the followig equatios: d c Pe dz z =
More informationResearch on real time compensation of thermal errors of CNC lathe based on linear regression theory Qiu Yongliang
d Iteratioal Coferece o Machiery, Materials Egieerig, Chemical Egieerig ad Biotechology (MMECEB 015) Research o real time compesatio of thermal errors of CNC lathe based o liear regressio theory Qiu Yogliag
More informationContents Kreatryx. All Rights Reserved.
Cotets Maual for K-Notes... Basics of Cotrol Systems... 3 Sigal Flow Graphs... 7 Time Respose Aalysis... 0 Cotrol System Stability... 6 Root locus Techique... 8 Frequecy Domai Aalysis... Bode Plots...
More informationDirection of Arrival Estimation Method in Underdetermined Condition Zhang Youzhi a, Li Weibo b, Wang Hanli c
4th Iteratioal Coferece o Advaced Materials ad Iformatio Techology Processig (AMITP 06) Directio of Arrival Estimatio Method i Uderdetermied Coditio Zhag Youzhi a, Li eibo b, ag Hali c Naval Aeroautical
More information8. СОВЕТУВАЊЕ. Охрид, септември ANALYSIS OF NO LOAD APPARENT POWER AND FREQUENCY SPECTRUM OF MAGNETIZING CURRENT FOR DIFFERENT CORE TYPES
8. СОВЕТУВАЊЕ Охрид, 22 24 септември Leoardo Štrac Frajo Keleme Kočar Power Trasformers Ltd. ANALYSS OF NO LOAD APPARENT POWER AND FREQENCY SPECTRM OF MAGNETZNG CRRENT FOR DFFERENT CORE TYPES ABSTRACT
More informationFREE VIBRATION RESPONSE OF A SYSTEM WITH COULOMB DAMPING
Mechaical Vibratios FREE VIBRATION RESPONSE OF A SYSTEM WITH COULOMB DAMPING A commo dampig mechaism occurrig i machies is caused by slidig frictio or dry frictio ad is called Coulomb dampig. Coulomb dampig
More informationAppendix: The Laplace Transform
Appedix: The Laplace Trasform The Laplace trasform is a powerful method that ca be used to solve differetial equatio, ad other mathematical problems. Its stregth lies i the fact that it allows the trasformatio
More information(c) Write, but do not evaluate, an integral expression for the volume of the solid generated when R is
Calculus BC Fial Review Name: Revised 7 EXAM Date: Tuesday, May 9 Remiders:. Put ew batteries i your calculator. Make sure your calculator is i RADIAN mode.. Get a good ight s sleep. Eat breakfast. Brig:
More informationLab(8) controller design using root locus
Lab(8) cotroller desig usig root locus I this lab we will lear how to desig a cotroller usig root locus but before this we eed to aswer the followig questios: What is root locus? What is the purpose of
More informationANALYSIS OF DAMPING EFFECT ON BEAM VIBRATION
Molecular ad Quatum Acoustics vol. 7, (6) 79 ANALYSIS OF DAMPING EFFECT ON BEAM VIBRATION Jerzy FILIPIAK 1, Lech SOLARZ, Korad ZUBKO 1 Istitute of Electroic ad Cotrol Systems, Techical Uiversity of Czestochowa,
More informationDynamic Instability of Taut Mooring Lines Subjected to Bi-frequency Parametric Excitation
Proceedigs of the 1 th Iteratioal Coferece o the Stability of Ships ad Ocea Vehicles, 14-19 Jue 15, Glasgow, UK. Dyamic Istability of Taut Moorig Lies Subjected to Bi-frequecy Parametric Excitatio Aiju
More informationFinally, we show how to determine the moments of an impulse response based on the example of the dispersion model.
5.3 Determiatio of Momets Fially, we show how to determie the momets of a impulse respose based o the example of the dispersio model. For the dispersio model we have that E θ (θ ) curve is give by eq (4).
More informationRun-length & Entropy Coding. Redundancy Removal. Sampling. Quantization. Perform inverse operations at the receiver EEE
Geeral e Image Coder Structure Motio Video (s 1,s 2,t) or (s 1,s 2 ) Natural Image Samplig A form of data compressio; usually lossless, but ca be lossy Redudacy Removal Lossless compressio: predictive
More informationSolutions. Number of Problems: 4. None. Use only the prepared sheets for your solutions. Additional paper is available from the supervisors.
Quiz November 4th, 23 Sigals & Systems (5-575-) P. Reist & Prof. R. D Adrea Solutios Exam Duratio: 4 miutes Number of Problems: 4 Permitted aids: Noe. Use oly the prepared sheets for your solutios. Additioal
More informationChapter 7: The z-transform. Chih-Wei Liu
Chapter 7: The -Trasform Chih-Wei Liu Outlie Itroductio The -Trasform Properties of the Regio of Covergece Properties of the -Trasform Iversio of the -Trasform The Trasfer Fuctio Causality ad Stability
More informationECE 422/522 Power System Operations & Planning/Power Systems Analysis II : 6 - Small Signal Stability
ECE 4/5 Power System Operatios & Plaig/Power Systems Aalysis II : 6 - Small Sigal Stability Sprig 014 Istructor: Kai Su 1 Refereces Kudur s Chapter 1 Saadat s Chapter 11.4 EPRI Tutorial s Chapter 8 Power
More information2C09 Design for seismic and climate changes
C9 Desig for seismic ad climate chages Lecture 3: Dyamic respose of sigle-degree-of-freedom systems II Daiel Grecea, Politehica Uiversity of Timisoara 11/3/14 Europea Erasmus Mudus Master Course Sustaiable
More informationMASSACHUSETTS INSTITUTE OF TECHNOLOGY Department of Electrical Engineering and Computer Science. BACKGROUND EXAM September 30, 2004.
MASSACHUSETTS INSTITUTE OF TECHNOLOGY Departmet of Electrical Egieerig ad Computer Sciece 6.34 Discrete Time Sigal Processig Fall 24 BACKGROUND EXAM September 3, 24. Full Name: Note: This exam is closed
More information17 Phonons and conduction electrons in solids (Hiroshi Matsuoka)
7 Phoos ad coductio electros i solids Hiroshi Matsuoa I this chapter we will discuss a miimal microscopic model for phoos i a solid ad a miimal microscopic model for coductio electros i a simple metal.
More informationRecent Magnetic Measurement Activities at BNL
Recet Magetic Measuremet Activities at BNL Aimesh Jai (O behalf of the Maget Test Group) Supercoductig Maget Divisio Brookhave Natioal Laboratory Upto, New York 11973-5000, USA 1 Itroductio Magetic measuremet
More informationExam. Notes: A single A4 sheet of paper (double sided; hand-written or computer typed)
Exam February 8th, 8 Sigals & Systems (5-575-) Prof. R. D Adrea Exam Exam Duratio: 5 Mi Number of Problems: 5 Number of Poits: 5 Permitted aids: Importat: Notes: A sigle A sheet of paper (double sided;
More informationKMXP MR Position Sensor
KMXP MR Positio Sesor AMR liear positio sesor 2x6 DFN package, very compact Small wall thickess for large air gaps High operatig temperature of 50 C O the edge solderig possible DESCRIPTION Movig a KMXP
More informationThe Pendulum. Purpose
The Pedulum Purpose To carry out a example illustratig how physics approaches ad solves problems. The example used here is to explore the differet factors that determie the period of motio of a pedulum.
More informationEE / EEE SAMPLE STUDY MATERIAL. GATE, IES & PSUs Signal System. Electrical Engineering. Postal Correspondence Course
Sigal-EE Postal Correspodece Course 1 SAMPLE STUDY MATERIAL Electrical Egieerig EE / EEE Postal Correspodece Course GATE, IES & PSUs Sigal System Sigal-EE Postal Correspodece Course CONTENTS 1. SIGNAL
More information(s)h(s) = K( s + 8 ) = 5 and one finite zero is located at z 1
ROOT LOCUS TECHNIQUE 93 should be desiged differetly to eet differet specificatios depedig o its area of applicatio. We have observed i Sectio 6.4 of Chapter 6, how the variatio of a sigle paraeter like
More informationTESTING OF THE FORCES IN CABLE OF SUSPENSION STRUCTURE AND BRIDGES
TSTING OF TH FORCS IN CABL OF SUSPNSION STRUCTUR AND BRIDGS Zhou, M. 1, Liu, Z. ad Liu, J. 1 College of the Muicipal Techology, Guagzhou Uiversity, Guagzhou. Guagzhou Muicipal ad Ladscape gieerig Quality
More informationA PROCEDURE TO MODIFY THE FREQUENCY AND ENVELOPE CHARACTERISTICS OF EMPIRICAL GREEN'S FUNCTION. Lin LU 1 SUMMARY
A POCEDUE TO MODIFY THE FEQUENCY AND ENVELOPE CHAACTEISTICS OF EMPIICAL GEEN'S FUNCTION Li LU SUMMAY Semi-empirical method, which divides the fault plae of large earthquake ito mets ad uses small groud
More informationCUMULATIVE DAMAGE ESTIMATION USING WAVELET TRANSFORM OF STRUCTURAL RESPONSE
CUMULATIVE DAMAGE ESTIMATION USING WAVELET TRANSFORM OF STRUCTURAL RESPONSE Ryutaro SEGAWA 1, Shizuo YAMAMOTO, Akira SONE 3 Ad Arata MASUDA 4 SUMMARY Durig a strog earthquake, the respose of a structure
More informationChapter 7 z-transform
Chapter 7 -Trasform Itroductio Trasform Uilateral Trasform Properties Uilateral Trasform Iversio of Uilateral Trasform Determiig the Frequecy Respose from Poles ad Zeros Itroductio Role i Discrete-Time
More informationFIR Filters. Lecture #7 Chapter 5. BME 310 Biomedical Computing - J.Schesser
FIR Filters Lecture #7 Chapter 5 8 What Is this Course All About? To Gai a Appreciatio of the Various Types of Sigals ad Systems To Aalyze The Various Types of Systems To Lear the Skills ad Tools eeded
More informationMEM 255 Introduction to Control Systems: Analyzing Dynamic Response
MEM 55 Itroductio to Cotrol Systems: Aalyzig Dyamic Respose Harry G. Kwaty Departmet of Mechaical Egieerig & Mechaics Drexel Uiversity Outlie Time domai ad frequecy domai A secod order system Via partial
More informationPhysics Supplement to my class. Kinetic Theory
Physics Supplemet to my class Leaers should ote that I have used symbols for geometrical figures ad abbreviatios through out the documet. Kietic Theory 1 Most Probable, Mea ad RMS Speed of Gas Molecules
More informationWarped, Chirp Z-Transform: Radar Signal Processing
arped, Chirp Z-Trasform: Radar Sigal Processig by Garimella Ramamurthy Report o: IIIT/TR// Cetre for Commuicatios Iteratioal Istitute of Iformatio Techology Hyderabad - 5 3, IDIA Jauary ARPED, CHIRP Z
More informationSignal Processing in Mechatronics. Lecture 3, Convolution, Fourier Series and Fourier Transform
Sigal Processig i Mechatroics Summer semester, 1 Lecture 3, Covolutio, Fourier Series ad Fourier rasform Dr. Zhu K.P. AIS, UM 1 1. Covolutio Covolutio Descriptio of LI Systems he mai premise is that the
More informationCALCULUS AB SECTION I, Part A Time 60 minutes Number of questions 30 A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM.
AP Calculus AB Portfolio Project Multiple Choice Practice Name: CALCULUS AB SECTION I, Part A Time 60 miutes Number of questios 30 A CALCULATOR MAY NOT BE USED ON THIS PART OF THE EXAM. Directios: Solve
More informationELEC 372 LECTURE NOTES, WEEK 4 Dr. Amir G. Aghdam Concordia University
ELEC 37 LECTURE NOTES, WEE 4 Dr Amir G Aghdam Cocordia Uiverity Part of thee ote are adapted from the material i the followig referece: Moder Cotrol Sytem by Richard C Dorf ad Robert H Bihop, Pretice Hall
More information567. Research of Dynamics of a Vibration Isolation Platform
567. Research of Dyamics of a Vibratio Isolatio Platform A. Kilikevičius, M. Jurevičius 2, M. Berba 3 Vilius Gedimias Techical Uiversity, Departmet of Machie buildig, J. Basaavičiaus str. 28, LT-03224
More informationA New Accurate Analytical Expression for Rise Time Intended for Mechatronics Systems Performance Evaluation and Validation
Iteratioal Joural of Automatio, Cotrol ad Itelliget Systems Vol., No., 05, pp. 5-60 http://www.aisciece.org/joural/ijacis A New Accurate Aalytical Expressio for Rise Time Iteded for Mechatroics Systems
More informationTime-Domain Representations of LTI Systems
2.1 Itroductio Objectives: 1. Impulse resposes of LTI systems 2. Liear costat-coefficiets differetial or differece equatios of LTI systems 3. Bloc diagram represetatios of LTI systems 4. State-variable
More informationThe z-transform. 7.1 Introduction. 7.2 The z-transform Derivation of the z-transform: x[n] = z n LTI system, h[n] z = re j
The -Trasform 7. Itroductio Geeralie the complex siusoidal represetatio offered by DTFT to a represetatio of complex expoetial sigals. Obtai more geeral characteristics for discrete-time LTI systems. 7.
More informationAN OPEN-PLUS-CLOSED-LOOP APPROACH TO SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC MAPS
http://www.paper.edu.c Iteratioal Joural of Bifurcatio ad Chaos, Vol. 1, No. 5 () 119 15 c World Scietific Publishig Compay AN OPEN-PLUS-CLOSED-LOOP APPROACH TO SYNCHRONIZATION OF CHAOTIC AND HYPERCHAOTIC
More informationLOSS-MINIMIZATION CONTROL OF SCALAR- CONTROLLED INDUCTION MOTOR DRIVES
LOSS-MINIMIZATION CONTROL OF SCALAR- CONTROLLED INDUCTION MOTOR DRIVES Hussei Sarha, Rateb Al-Issa, ad Qazem Jaber Departmet of Mechatroics Egieerig, Faculty of Egieerig Techology Al-Balqa Applied Uiversity,
More informationSinusoidal Steady-state Analysis
Siusoidal Steady-state Aalysis Complex umber reviews Phasors ad ordiary differetial equatios Complete respose ad siusoidal steady-state respose Cocepts of impedace ad admittace Siusoidal steady-state aalysis
More informationPrinciple Of Superposition
ecture 5: PREIMINRY CONCEP O RUCUR NYI Priciple Of uperpositio Mathematically, the priciple of superpositio is stated as ( a ) G( a ) G( ) G a a or for a liear structural system, the respose at a give
More informationENGI 9420 Engineering Analysis Assignment 3 Solutions
ENGI 9 Egieerig Aalysis Assigmet Solutios Fall [Series solutio of ODEs, matri algebra; umerical methods; Chapters, ad ]. Fid a power series solutio about =, as far as the term i 7, to the ordiary differetial
More informationFIR Filter Design: Part II
EEL335: Discrete-Time Sigals ad Systems. Itroductio I this set of otes, we cosider how we might go about desigig FIR filters with arbitrary frequecy resposes, through compositio of multiple sigle-peak
More informationBasics of Dynamics. Amit Prashant. Indian Institute of Technology Gandhinagar. Short Course on. Geotechnical Aspects of Earthquake Engineering
Basics of yamics Amit Prashat Idia Istitute of Techology Gadhiagar Short Course o Geotechical Aspects of Earthquake Egieerig 4 8 March, 213 Our ear Pedulum Revisited g.si g l s Force Equilibrium: Cord
More informationOlli Simula T / Chapter 1 3. Olli Simula T / Chapter 1 5
Sigals ad Systems Sigals ad Systems Sigals are variables that carry iformatio Systemstake sigals as iputs ad produce sigals as outputs The course deals with the passage of sigals through systems T-6.4
More informationEffect of Temperature Variations on Strain Response of Polymer Bragg Grating Optical Fibers
Iraq J. Electrical ad Electroic Egieerig Vol.13 No.1, 17 مجلد 13 العدد 17 1 Effect of Temperature Variatios o Strai Respose of Polymer Bragg Gratig Optical Fibers Hisham K. Hisham Electrical Egieerig Departmet,
More informationDynamic System Response
Solutio of Liear, Costat-Coefficiet, Ordiary Differetial Equatios Classical Operator Method Laplace Trasform Method Laplace Trasform Properties 1 st -Order Dyamic System Time ad Frequecy Respose d -Order
More informationDYNAMIC ANALYSIS OF BEAM-LIKE STRUCTURES SUBJECT TO MOVING LOADS
DYNAMIC ANALYSIS OF BEAM-LIKE STRUCTURES SUBJECT TO MOVING LOADS Ivaa Štimac 1, Ivica Kožar 1 M.Sc,Assistat, Ph.D. Professor 1, Faculty of Civil Egieerig, Uiverity of Rieka, Croatia INTRODUCTION The vehicle-iduced
More informationPAPER : IIT-JAM 2010
MATHEMATICS-MA (CODE A) Q.-Q.5: Oly oe optio is correct for each questio. Each questio carries (+6) marks for correct aswer ad ( ) marks for icorrect aswer.. Which of the followig coditios does NOT esure
More informationPractical Spectral Anaysis (continue) (from Boaz Porat s book) Frequency Measurement
Practical Spectral Aaysis (cotiue) (from Boaz Porat s book) Frequecy Measuremet Oe of the most importat applicatios of the DFT is the measuremet of frequecies of periodic sigals (eg., siusoidal sigals),
More informationPaper-II Chapter- Damped vibration
Paper-II Chapter- Damped vibratio Free vibratios: Whe a body cotiues to oscillate with its ow characteristics frequecy. Such oscillatios are kow as free or atural vibratios of the body. Ideally, the body
More informationGROUND MOTION OF NON-CIRCULAR ALLUVIAL VALLEY FOR INCIDENT PLANE SH-WAVE. Hui QI, Yong SHI, Jingfu NAN
The th World Coferece o Earthquake Egieerig October -7, 8, Beiig, Chia GROUND MOTION OF NON-CIRCULAR ALLUVIAL VALLEY FOR INCIDENT PLANE SH-WAVE Hui QI, Yog SHI, Jigfu NAN ABSTRACT : Professor, Dept. of
More informationKinetics of Complex Reactions
Kietics of Complex Reactios by Flick Colema Departmet of Chemistry Wellesley College Wellesley MA 28 wcolema@wellesley.edu Copyright Flick Colema 996. All rights reserved. You are welcome to use this documet
More informationDrive Technology \ Drive Automation \ System Integration \ Services. Data Sheet. Functional Safety Safety Characteristics for BE..
Drive Techology \ Drive Automatio \ System Itegratio \ Services Data Sheet Fuctioal Safety Safety Characteristics for BE.. Brake Editio 12/2010 17062810 / EN SEW-EURODRIVE Drivig the world Data Sheet Safety
More informationFrequency Response Methods
Frequecy Respose Methods The frequecy respose Nyquist diagram polar plots Bode diagram magitude ad phase Frequecy domai specificatios Frequecy Respose Methods I precedig chapters the respose ad performace
More informationADVANCED DIGITAL SIGNAL PROCESSING
ADVANCED DIGITAL SIGNAL PROCESSING PROF. S. C. CHAN (email : sccha@eee.hku.hk, Rm. CYC-702) DISCRETE-TIME SIGNALS AND SYSTEMS MULTI-DIMENSIONAL SIGNALS AND SYSTEMS RANDOM PROCESSES AND APPLICATIONS ADAPTIVE
More informationIntroduction to Signals and Systems, Part V: Lecture Summary
EEL33: Discrete-Time Sigals ad Systems Itroductio to Sigals ad Systems, Part V: Lecture Summary Itroductio to Sigals ad Systems, Part V: Lecture Summary So far we have oly looked at examples of o-recursive
More informationSignal Processing. Lecture 02: Discrete Time Signals and Systems. Ahmet Taha Koru, Ph. D. Yildiz Technical University.
Sigal Processig Lecture 02: Discrete Time Sigals ad Systems Ahmet Taha Koru, Ph. D. Yildiz Techical Uiversity 2017-2018 Fall ATK (YTU) Sigal Processig 2017-2018 Fall 1 / 51 Discrete Time Sigals Discrete
More informationPILOT STUDY ON THE HORIZONTAL SHEAR BEHAVIOUR OF FRP RUBBER ISOLATORS
Asia-Pacific Coferece o FRP i Structures (APFIS 2007) S.T. Smith (ed) 2007 Iteratioal Istitute for FRP i Costructio PILOT STUDY ON THE HORIZONTAL SHEAR BEHAVIOUR OF FRP RUBBER ISOLATORS T.B. Peg *, J.Z.
More informationModified Logistic Maps for Cryptographic Application
Applied Mathematics, 25, 6, 773-782 Published Olie May 25 i SciRes. http://www.scirp.org/joural/am http://dx.doi.org/.4236/am.25.6573 Modified Logistic Maps for Cryptographic Applicatio Shahram Etemadi
More informationTHE SOLUTION OF NONLINEAR EQUATIONS f( x ) = 0.
THE SOLUTION OF NONLINEAR EQUATIONS f( ) = 0. Noliear Equatio Solvers Bracketig. Graphical. Aalytical Ope Methods Bisectio False Positio (Regula-Falsi) Fied poit iteratio Newto Raphso Secat The root of
More informationCOMM 602: Digital Signal Processing
COMM 60: Digital Sigal Processig Lecture 4 -Properties of LTIS Usig Z-Trasform -Iverse Z-Trasform Properties of LTIS Usig Z-Trasform Properties of LTIS Usig Z-Trasform -ve +ve Properties of LTIS Usig Z-Trasform
More informationDynamic Response of Linear Systems
Dyamic Respose of Liear Systems Liear System Respose Superpositio Priciple Resposes to Specific Iputs Dyamic Respose of st Order Systems Characteristic Equatio - Free Respose Stable st Order System Respose
More informationExercises and Problems
HW Chapter 4: Oe-Dimesioal Quatum Mechaics Coceptual Questios 4.. Five. 4.4.. is idepedet of. a b c mu ( E). a b m( ev 5 ev) c m(6 ev ev) Exercises ad Problems 4.. Model: Model the electro as a particle
More informationComplex Algorithms for Lattice Adaptive IIR Notch Filter
4th Iteratioal Coferece o Sigal Processig Systems (ICSPS ) IPCSIT vol. 58 () () IACSIT Press, Sigapore DOI:.7763/IPCSIT..V58. Complex Algorithms for Lattice Adaptive IIR Notch Filter Hog Liag +, Nig Jia
More informationDynamic Response of Second Order Mechanical Systems with Viscous Dissipation forces
Hadout #b (pp. 4-55) Dyamic Respose o Secod Order Mechaical Systems with Viscous Dissipatio orces M X + DX + K X = F t () Periodic Forced Respose to F (t) = F o si( t) ad F (t) = M u si(t) Frequecy Respose
More informationA Study on the Linear Piezoelectric Motor of Mode Shape
Ope Joural of Acoustics, 015, 5, 153-171 Published Olie December 015 i SciRes. http://www.scirp.org/joural/oja http://dx.doi.org/10.436/oja.015.54013 A Study o the Liear Piezoelectric Motor of Mode Shape
More informationREGRESSION (Physics 1210 Notes, Partial Modified Appendix A)
REGRESSION (Physics 0 Notes, Partial Modified Appedix A) HOW TO PERFORM A LINEAR REGRESSION Cosider the followig data poits ad their graph (Table I ad Figure ): X Y 0 3 5 3 7 4 9 5 Table : Example Data
More information