Sensorless Speed Control including zero speed of Non Salient PM Synchronous Drives Rasmussen, Henrik
|
|
- Shanon Riley
- 5 years ago
- Views:
Transcription
1 Aalborg Univeritet Senorle Speed Control including zero peed of Non Salient PM Synchronou Drive Ramuen, Henrik Publication date: 2 Document Verion Publiher' PDF, alo known a Verion of record Link to publication from Aalborg Univerity Citation for publihed verion (APA): Ramuen, H. (2). Senorle Speed Control including zero peed of Non Salient PM Synchronou Drive. Aalborg: Department of Control Engineering, Aalborg Univerity. General right Copyright and moral right for the publication made acceible in the public portal are retained by the author and/or other copyright owner and it i a condition of acceing publication that uer recognie and abide by the legal requirement aociated with thee right.? Uer may download and print one copy of any publication from the public portal for the purpoe of private tudy or reearch.? You may not further ditribute the material or ue it for any profit-making activity or commercial gain? You may freely ditribute the URL identifying the publication in the public portal? Take down policy If you believe that thi document breache copyright pleae contact u at vbn@aub.aau.dk providing detail, and we will remove acce to the work immediately and invetigate your claim. Downloaded from vbn.aau.dk on: november 2, 28
2 Senorle Speed Control including zero peed of Non Salient PM Synchronou Drive H. Ramuen Aalborg Univerity, Aalborg, Denmark Abtract Thi paper preent a poition enorle drive of non alient pole PM ynchronou motor for all peed including zero peed. Uing adaptive Lyapunov deign a new approach for the deign of an oberver i developed. The reulting cheme lead to a nonlinear full order oberver for the motor tate including the rotor peed. Auming motor parameter known the deign achieve tability with guaranteed region of attraction even at zero peed. The control method i made robut at zero and low peed by changing the direct vector current component to a value different from zero. In order to verify the applicability of the method the controller ha been implemented and teted on a 8 W motor. u Ri ( S ) ( S ) e jθˆ θˆ p c Re{} + jc2 p + jωˆ ωˆ ( ) ψˆ R Im{} ( ) ψˆ R r Li Fig.. Rotor angle oberver (R) Im PI ψ M ψˆ rq NOMENCLATURE a complex patial operator e j2π/3 i A, B, C tator phae current A,B and C u A, B, C tator phae voltage A,B and C i tator current complex pace vector u tator voltage complex pace vector ψ tator flux ψ r rotor flux R tator reitance L tator inductance ω ynchronou angular frequency ω mech rotor peed p time derivative operatord/dt Z p number of pole pair θ rotor poition I. INTRODUCTION The permanent magnet ynchronou motor (PMSM) offer high power denity implying reduced ize and le material to tranport. PM motor cannot be operated in open loop due to the highly untable behavior of the motor dynamic. Thi mean that PM motor need a meaurement of the rotor poition in order to control the motor in a robut way. The traditional method to determine the rotor poition i to ue an encoder or reolver, but thee component are expenive and will add additional cot to the motor. In more than ten year there ha been an extenive reearch in finding reliable poition enorle method to etimate the rotor poition from the applied voltage and the conumed current. The mot ignificant paper of the reearch up to 996 can be found in the reference [4]. In thi paper focu will be on PMSM type of motor due to the fact that the reult are mend for low noie emiion application like pump for dometic ue. In PMSM olution the rotor poition i normally determined by an open loop or cloed loop oberver ee [] or by voltage injection method exciting aliency or aturation effect in the motor ee [2], [6], [7]. In [] enorle alient-pole PM ynchronou motor drive in all peed range are obtained by witching between a backemf (BEMF) method in the medium and high peed range and an injection method in the low and zero peed range. For a non alient PM ynchronou motor the injection method decribed are not valid and no BEMF i preented at zero peed. Thi i normally handled by a tart-up procedure operating the motor in open loop up to a given minimum peed where BEMF i reliable, and after thi point a jump to oberver baed field-oriented control take place. Thi jump can be noie full and can give extreme peed tranient and pull out can in evere ituation occur. In thi paper a new method baed on Lyapunov tability will be preented operating from zero peed without changing the control tructure. The idea of the method choen i to force direct current into the machine in the faulty poition the oberver etimate at low peed; thi will force the rotor poition to the incorrectly etimated poition, and the difference between the real poition and the etimated poition will be reduced. The method i implemented and verified experimentally on a 8 W motor. The reult demontrate that the method work uccefully from zero to full peed. The method i able to produce etimate of poition and peed with a preciion good enough to replace a haft enor. A. Voltage equation II. OBSERVER DESIGN In the rotor oriented coordinate ytem e jθ the voltage equation for the motor i u (R) = Ri (R) + (p + jω)li (R) + jωψ M with ω = pθ In the coordinate ytem e j ˆθ of the etimated rotor angle
3 Inertion of ω = ˆω ω in the equation now give p( ˆψ rd ψ M ) = c ( ˆψ rd ψ M ) + ω ˆψ rq p ˆψ rq = c 2 ˆψrq ω( ˆψ rd ψ M ) ωψ M () C. Lyapunov analyi Stability of the error equation may be obtained by uing a Lyapunov function candidate P = {( 2 ˆψ rd ψ M ) 2 + ( ˆψ rq ) 2 + γ } ω2 The time derivative of thi function i ˆθ the voltage equation i u ( ˆR) = Ri ( ˆR) Fig. 2. Rotor Field Oriented Control + (p + j ˆω)Li ( ˆR) + (p + j ˆω)ψ M e j(θ ˆθ) with ˆω = pˆθ Omitting ( ˆR) in the following and introducing θ = ˆθ θ give u = B. Oberver candidate Ri + (p + j ˆω)Li + j ˆωψ M +(ω in θ + j(ω co θ ˆω))ψ M From thi equation the tator flux linkage i given by ψ M + Li = p+j ˆω { u Ri (ω in θ + j(ω co θ ˆω))ψ M } { Becaue the term ω in θ + j(ω co θ } ˆω) ψ M i unknown a feedback oberver may be given the form ˆψ r + Li = p + j ˆω {u Ri + v} where equation for v and ˆω have to be calculated. From the above equation the error dynamic are given by p( ˆψ r ψ M ) = j ˆω( ˆψ r ψ M ) + v +(ω in θ + j(ω co θ ˆω))ψ M Stabilizing with v = c ( ˆψ rd ψ M ) c 2 ˆψrq and taking the real and imaginary part of the equation give p( ˆψ rd ψ M ) = c ( ˆψ rd ψ M ) + ˆω ˆψ rq +ω in θψ M p ˆψ rq = c 2 ˆψrq ˆω( ˆψ rd ψ M ) (ˆω ω co θ)ψ M p( ˆψ rd ψ M ) = c ( ˆψ rd ψ M ) + ˆω ˆψ rq ω ˆψ rq p ˆψ rq = c 2 ˆψrq ˆω( ˆψ rd ψ M ) (ˆω ω)ψ M + ω( ˆψ rd ψ M ) dp dt = c ( ˆψ rd ψ M ) 2 c 2 ( ˆψ rq ) 2 + ω( ψ M ˆψrq + d ω γ dt ) Chooing deω dt = γψ M ˆψ rq then give dp dt = c ( ˆψ rd ψ M ) 2 c 2 ( ˆψ rq ) 2 For c > and c 2 > the Lyapunov function candidate i hown to be a Lyapunov function and the following convergence i obtained ˆψ r = ˆψ rd + j ˆψ rq ψ M Becaue we have ˆψ rq = ψ M in θ it i alo hown that ˆθ θ. Now we only have to examine the adaptation condition d ω dt = γψ M ˆψ rq If ω i aumed contant the adaptation condition become dˆω dt = γψ M ˆψ rq The aumption of contant ω mean in practice that the variation of ω ha to be low compared to the adaptation time contant, which depend of γ. The above equation then give the following oberver ˆψ r = ˆψ Li d dt = u Ri c ( ˆψ rd ψ M ) jc 2 ˆψrq j ˆω ˆψ d dt ˆω = γψ ˆψ M rq d dt = ˆω For known value of the initial rotor poition, (R, L, ψ M ), no offet due to drift and perfect dead time compenation the oberver converge to the correct rotor angle. Becaue thi i not to be expected in practice a robutne analyi ha to be performed. D. PI adjutment The adjutment of ω given by the Lyapunov method i an integral controller ω(t) = γψ M t ˆψ rq (τ)dτ
4 It may be expected that a quicker adaptation can be achieved by uing a PI controller ω(t) = γ ˆψrq (t) + γ 2 t Since a ytem with the tranfer function ˆψ rq (τ)dτ H() = γ + γ 2 i output trictly paive for poitive γ and γ 2 it follow from the paivity theorem [8], that PI adjutment i table if a tranfer function from ω to ˆψ rq i trictly poitive real. From equ.() a tranfer function i found p + c ˆψ rq = p 2 + (c + c 2 )p + c c 2 + ω 2 ψ M ω = G(p)ψ M ω G() i for c > and c 2 > hown to be SPR becaue: The function ha no pole in the right half-plane, It ha no pole and zeroe on the imaginary axi and Re{G(jω)} = c (c c 2 +eω 2 )+c 2 ω 2 ( ω 2 +jω(c +c 2 )+c c 2 +eω 2 ) > With the above aumption of contant ω the equation for the oberver are given by ˆψ r = ˆψ Li ˆψ = t (u Ri c ( ˆψ rd ψ M ) jc 2 ˆψrq j ˆω ˆψ )dτ ˆω = γ ˆψrq + γ 2 t ˆψrq dτ ˆθ = t ˆωdτ Thee equation are hown in fig. E. Robutne Becaue the Lyapunov analyi ha hown tability, the robutne i analyzed in teady tate with ˆω = ω. Let u aume that uncompenated dead time compenation and error in R give and voltage error δu. The oberver equation then give = δu + jωψ M c ( ˆψ rd ψ M ) jc 2 ˆψrq jω ˆψ r For ω c and ω c 2 the real and imaginary part of thi equation give leading to ˆψ rd ψ M δu q /ω ˆψ rq δu d /ω in(ˆθ θ) δu d ωψ M Becaue thee inequalitie call for mall value of (c, c 2 ) and the dynamic of the oberver call for (c, c 2 ) a big a poible, the practical choice i a compromie between fat oberver dynamic and mall teady tate etimation error. Experiment and imulation how that bet performance i obtained for c 2 c. Fig. 3. Laboratory etup F. Zero and very low peed control Fig.2 how the rotor field oriented control ytem. At zero and very low peed the reference value for i d i given a value different from zero. If the rotor angle i etimated correctly a value for i d give no torque. If the rotor angle i etimated with an error the rotor i forced in the direction of ˆθ ued in the controller. Thi new principle mean that no manual mode at zero and low peed i neceary, cloed loop control i obtained for all value of the peed reference. The function for i d,ref i i d,ref = i ref e ˆω r /ω (2) with i ref determined by the maximal load torque expected at zero peed and ω mall due to the fact that etimation error of the rotor angle i only ignificant at low peed. A. Laboratory etup III. EXPERIMENTS The laboratory etup hown in Fig.3 i baed on Real Time Workhop, Simulink and DSpace. The drive ytem i via a ignal conditioner connected to a DSP board in the computer. The control oftware i Simulink block written in C. The nominal motor parameter are R L ψ M Z p Nom B. Initial tartup Fig.4.a and Fig.4.b how the tart-up repone with the rotor angle initialized to the wort condition, which i to be oppoite to the initial value given the etimate of the rotor poition. The initial negative peed in Fig.4.a i due to the fact that the etimation error of the rotor angle ˆθ θ > 9 degree. Thi ituation only occur the very firt time the control ytem i tarted. Next time the reference i et to zero peed the angle i etimated with a mall etimation error due to the i d,ref value different from zero. C. Rotor peed tep repone Fig.4.c how a tep repone for a very low peed. The cale of the peed axi ha to be noticed howing that the variation of the rotor peed i le than rpm.
5 2 2 dth 8 6 [deg] a) Firt Rotor peed tep repone with rotor angle initialized to an 8 degree error at tartup... 2 b) Convergence of the etimated rotor angle with rotor angle initialized to an 8 degree error at tartup rotor peed rotor peed time... 2 time c) Very low rotor peed tep repone 2rpm d) Low rotor peed tep repone rpm rotor peed time e) Rotor peed tep repone rpm f) High rotor peed tep repone rpm Fig. 4. Experiment
6 a) Rotor peed b) Rotor peed i d & i q i d & i q [A] [A] c) i d and i q d) i d and i q 2 theta real theta etimated. theta real theta etimated [degree] [degree] e) Etimation error ˆθ θ in degree f) Etimation error ˆθ θ in degree Fig.. Torque tep at rotor peed rpm (a,c,e) and rpm (b,d,f)
7 Fig.4.d, 4.e and 4.f how tep repone for rpm, rpm and rpm repectively. The curve form of the repone are a expected and the ound of the motor alo indicate field orientation during the tranient. [7] M.Corley and R. Lorenz, Rotor poition and velocity etimation for alient pole permanent magnet ynchronou machine at tandtill and high peed, IEEE Tran. on Ind. Appl. July/Aug 998, pp [8] Åtröm K.J. and Wittenmark Björn, Adaptive Control - Second Edition, Addion - Weley Publihing Company, 99. D. Load tep repone Fig. how the repone of tep in the load torque both at rpm and at rpm. Fig..a and b how the peed variation for tep in the load torque. Even at zero peed reference the peed i equal to zero in teady tate. Fig..c and d how the i d and i q current. Fig..d how the normal repone at rpm where i d = and i q i the torque producing current. fig..c how the i d and i q at zero peed. The i d i given a reference value equal to A and when the load torque trie to turn the rotor axi the angle between thi current in the etimated rotor angle and the real rotor angle produce a torque equal to the load torque and the peed i kept equal to zero a een from fig..a Fig..e and f how the error between the etimated and real rotor angle. The error at zero peed depend on i d,ref due to the fact that we have m e = 3/2Z p ψ M i d in( θ). Fig..f how the error at high peed and the cale of the axi ha to be noticed. IV. CONCLUSION A new oberver for the rotor angle i preented. Stability of the oberver i proven by the Lyapunov method and robutne i analyzed in teady tate. Variou paper concerning method for tarting PMSM without poition enor have been preented. Mot method have a pecial mode for tart-up and operation at low peed. The propoed method operate in the ame mode from zero peed to maximum peed, which implifie the control algorithm and eliminate the lag of robutne when a controller hift mode. The method make it poible to tart from zero peed in cloed loop and produce a contant torque at very low peed by changing the direct vector current component a a function of the peed. The method i implemented and verified experimentally on a 8 W motor. The reult demontrate that the method work uccefully over a wide peed range. The method i able to produce etimate of poition and peed with a preciion good enough to replace a haft enor. REFERENCES [] H. akehita, A. Uui, and N. Matui, Senorle Salient-Pole PM Synchronou Motor Drive in All Speed Range, Electrical Engineering in Japan, Vol. 3, No. 3, (2). [2] Holtz Joachim, Method for Speed Senorle Control of AC Drive, Senorle Control of AC Motor, IEEE Pre Book, (996). [3] Holtz Joachim, Senorle Vector Control of Induction Motor at Very Low Speed uing a Nonlinear Inverter Model and Parameter Identification, IEEE-IAS 2, Chicago, Illinoi, (2). [4] K. Rajahekara, A. Kawamura and K. Matue. Senorle Control of AC Motor Drive, IEEE Pre, 996. [] N. Matui, Senorle PM Bruhle DC Motor Drive, IEEE Tran. Ind. Electron. vol 43, no.2, pp. 3-38, Apr. 996 [6] P.L. Janen, R.D. Lorenz, Tranducerle Poition and Velocity Etimation in Induction and Salient AC Machine, IEEE Tran. on Ind. Appl., March/April 99, pp
Sensorless speed control including zero speed of non salient PM synchronous drives
BULLETIN OF THE POLISH ACADEMY OF SCIENCES TECHNICAL SCIENCES Vol. 54, No. 3, 2006 Senorle peed control including zero peed of non alient PM ynchronou drive H. RASMUSSEN Aalborg Univerity, Fredrik Bajer
More informationISSN: [Basnet* et al., 6(3): March, 2017] Impact Factor: 4.116
IJESR INERNAIONAL JOURNAL OF ENGINEERING SCIENCES & RESEARCH ECHNOLOGY DIREC ORQUE CONROLLED INDUCION MOOR DRIVE FOR ORQUE RIPPLE REDUCION Bigyan Banet Department of Electrical Engineering, ribhuvan Univerity,
More informationSensorless PM Brushless Drives
IEEE UK Chapter Seminar 15 December 3 Senorle PM Bruhle Drive Prof. D. Howe and Prof. Z. Q. Zhu The Univerity of Sheffield Electrical Machine & Drive Reearch Group Outline Review of enorle technique Zero-croing
More informationExperimental Direct Torque Control Induction Motor Drive with Modified Flux Estimation and Speed control Algorithm.
Experimental Direct Torque Control Induction Motor Drive with Modified Flux Etimation and Speed control Algorithm. Bhoopendra ingh, Shailendra Jain 2, Sanjeet Dwivedi 3 (RGTU, Bhopal), 2 (MANIT Bhopal),
More informationMassachusetts Institute of Technology Dynamics and Control II
I E Maachuett Intitute of Technology Department of Mechanical Engineering 2.004 Dynamic and Control II Laboratory Seion 5: Elimination of Steady-State Error Uing Integral Control Action 1 Laboratory Objective:
More informationAn Improved Flux Observer for Sensorless Permanent Magnet Synchronous Motor Drives with Parameter Identification
J Electr Eng Technol Vol. 8, No. 3: 516-53, 13 http://dx.doi.org/1.537/jeet.13.8.3.516 ISSN(Print) 1975-1 ISSN(Online) 93-743 An Improved Flux Oberver for Senorle Permanent Magnet Synchronou Motor Drive
More informationSection Induction motor drives
Section 5.1 - nduction motor drive Electric Drive Sytem 5.1.1. ntroduction he AC induction motor i by far the mot widely ued motor in the indutry. raditionally, it ha been ued in contant and lowly variable-peed
More informationDirect Torque Control of Saturated Induction Machine with and without speed sensor
Journal of Advanced Reearch in Science and Technology ISSN: 2352-9989 Direct Torque Control of Saturated Induction Machine with and without peed enor Tahar Djellouli,2, Samir Moulahoum, Med Seghir Boucherit
More informationEstimation of Temperature Rise in Stator Winding and Rotor Magnet of PMSM Based on EKF
2010 3rd International Conference on Computer and Electrical Engineering (ICCEE 2010) IPCSIT vol. 53 (2012) (2012) IACSIT Pre, Singapore DOI: 10.7763/IPCSIT.2012.V53.No.2.37 Etimation of Temperature Rie
More informationS_LOOP: SINGLE-LOOP FEEDBACK CONTROL SYSTEM ANALYSIS
S_LOOP: SINGLE-LOOP FEEDBACK CONTROL SYSTEM ANALYSIS by Michelle Gretzinger, Daniel Zyngier and Thoma Marlin INTRODUCTION One of the challenge to the engineer learning proce control i relating theoretical
More informationSENSORLESS DIRECT TORQUE CONTROL OF RUSHLESS AC MACHINE USING LUENBERGER OBSERVER
5-8 JATIT. All right reerved. SENSORLESS DIRECT TORQUE CONTROL OF RUSHLESS AC MACHINE USING LUENBERGER OBSERVER 1 Khalil. Nabti, K. Abed, H. Benalla 1, Student, Prof. Department of Electrical Engineering,
More informationAxial Unbalanced Magnetic Force in a Permanent Magnet Motor Due to a Skewed Magnet and Rotor Eccentricities
IEEE TRANSACTIONS ON MAGNETICS, VOL. 53, NO. 11, NOVEMBER 217 82155 Axial Unbalanced Magnetic Force in a Permanent Magnet Motor Due to a Skewed Magnet and Rotor Eccentricitie Chi Ho Kang, Kyung Jin Kang,
More informationGain and Phase Margins Based Delay Dependent Stability Analysis of Two- Area LFC System with Communication Delays
Gain and Phae Margin Baed Delay Dependent Stability Analyi of Two- Area LFC Sytem with Communication Delay Şahin Sönmez and Saffet Ayaun Department of Electrical Engineering, Niğde Ömer Halidemir Univerity,
More informationPerformance Improvement of Direct Torque Controlled Interior Permanent Magnet Synchronous Motor Drive by Considering Magnetic Saturation
Performance Improvement of Direct Torque Controlled Interior Permanent Magnet Synchronou Motor Drive by Conidering Magnetic Saturation Behrooz Majidi * Jafar Milimonfared * Kaveh Malekian * *Amirkabir
More informationSynchronous Machines - Structure
Synchronou Machine - Structure Synchronou Machine - Structure rotate at contant peed. primary energy converion device of the word electric power ytem. both generator and motor operation can draw either
More informationLecture 4. Chapter 11 Nise. Controller Design via Frequency Response. G. Hovland 2004
METR4200 Advanced Control Lecture 4 Chapter Nie Controller Deign via Frequency Repone G. Hovland 2004 Deign Goal Tranient repone via imple gain adjutment Cacade compenator to improve teady-tate error Cacade
More informationµ-analysis OF INDIRECT SELF CONTROL OF AN INDUCTION MACHINE Henrik Mosskull
-ANALYSIS OF INDIRECT SELF CONTROL OF AN INDUCTION MACHINE Henrik Mokull Bombardier Tranportation, SE-7 7 Väterå, Sweden S, Automatic Control, KTH, SE- Stockholm, Sweden Abtract: Robut tability and performance
More informationCHAPTER 8 OBSERVER BASED REDUCED ORDER CONTROLLER DESIGN FOR LARGE SCALE LINEAR DISCRETE-TIME CONTROL SYSTEMS
CHAPTER 8 OBSERVER BASED REDUCED ORDER CONTROLLER DESIGN FOR LARGE SCALE LINEAR DISCRETE-TIME CONTROL SYSTEMS 8.1 INTRODUCTION 8.2 REDUCED ORDER MODEL DESIGN FOR LINEAR DISCRETE-TIME CONTROL SYSTEMS 8.3
More informationA Novel Direct Torque Control Scheme for Induction Machines With Space Vector Modulation
24 35th Annual IEEE Power Electronic Specialit Conference Aachen, Germany, 24 A Novel Direct Torque Control Scheme for Induction Machine With Space Vector Modulation Joé Rodríguez, Jorge Pontt, Céar Silva,
More informationEE C128 / ME C134 Problem Set 1 Solution (Fall 2010) Wenjie Chen and Jansen Sheng, UC Berkeley
EE C28 / ME C34 Problem Set Solution (Fall 200) Wenjie Chen and Janen Sheng, UC Berkeley. (0 pt) BIBO tability The ytem h(t) = co(t)u(t) i not BIBO table. What i the region of convergence for H()? A bounded
More informationBasic parts of an AC motor : rotor, stator, The stator and the rotor are electrical
INDUCTION MOTO 1 CONSTUCTION Baic part of an AC motor : rotor, tator, encloure The tator and the rotor are electrical circuit that perform a electromagnet. CONSTUCTION (tator) The tator - tationary part
More informationLow Pass Filtering Based Artificial Neural Network Stator Flux Estimator for AC Induction Motors
Senor & Tranducer, Vol. 161, Iue 12, December 2013, pp. 219-224 Senor & Tranducer 2013 by IFSA http://www.enorportal.com Low Pa Filtering Baed Artificial Neural Network Stator Flux Etimator for AC Induction
More informationOptimal MRAS Speed Estimation for Induction Generator in Wind Turbine Application
Optimal MRAS Speed Etimation for Induction Generator in Wind Turbine Application Bori Dumnic #1, Dragan Matic #2, Vladimir Katic #3, Veran Vaic #4, Marko Delimar *5 # Univerity of Novi Sad, Faculty of
More informationInduction Motor Drive
Induction Motor Drive 1. Brief review of IM theory.. IM drive characteritic with: Variable input voltage Variable rotor reitance Variable rotor power Variable voltage and variable frequency, VVVF drive
More informationSMALL-SIGNAL STABILITY ASSESSMENT OF THE EUROPEAN POWER SYSTEM BASED ON ADVANCED NEURAL NETWORK METHOD
SMALL-SIGNAL STABILITY ASSESSMENT OF THE EUROPEAN POWER SYSTEM BASED ON ADVANCED NEURAL NETWORK METHOD S.P. Teeuwen, I. Erlich U. Bachmann Univerity of Duiburg, Germany Department of Electrical Power Sytem
More informationEE 4443/5329. LAB 3: Control of Industrial Systems. Simulation and Hardware Control (PID Design) The Inverted Pendulum. (ECP Systems-Model: 505)
EE 4443/5329 LAB 3: Control of Indutrial Sytem Simulation and Hardware Control (PID Deign) The Inverted Pendulum (ECP Sytem-Model: 505) Compiled by: Nitin Swamy Email: nwamy@lakehore.uta.edu Email: okuljaca@lakehore.uta.edu
More informationHybrid Projective Dislocated Synchronization of Liu Chaotic System Based on Parameters Identification
www.ccenet.org/ma Modern Applied Science Vol. 6, No. ; February Hybrid Projective Dilocated Synchronization of Liu Chaotic Sytem Baed on Parameter Identification Yanfei Chen College of Science, Guilin
More informationSimulation and Analysis of Linear Permanent Magnet Vernier Motors for Direct Drive Systems
Available online at www.ijpe-online.com vol. 3, no. 8, December 07, pp. 304-3 DOI: 0.3940/ijpe.7.08.p.3043 Simulation and Analyi of Linear Permanent Magnet Vernier Motor for Direct Drive Sytem Mingjie
More information376 CHAPTER 6. THE FREQUENCY-RESPONSE DESIGN METHOD. D(s) = we get the compensated system with :
376 CHAPTER 6. THE FREQUENCY-RESPONSE DESIGN METHOD Therefore by applying the lead compenator with ome gain adjutment : D() =.12 4.5 +1 9 +1 we get the compenated ytem with : PM =65, ω c = 22 rad/ec, o
More informationBASIC INDUCTION MOTOR CONCEPTS
INDUCTION MOTOS An induction motor ha the ame phyical tator a a ynchronou machine, with a different rotor contruction. There are two different type of induction motor rotor which can be placed inide the
More informationQuestion 1 Equivalent Circuits
MAE 40 inear ircuit Fall 2007 Final Intruction ) Thi exam i open book You may ue whatever written material you chooe, including your cla note and textbook You may ue a hand calculator with no communication
More informationVARIABLE speed drive systems are essential in
1 Senorle Field Orientation Control of Induction Motor Uing Reduced Order Oberver R. Mehram, S. Bahadure, S. Matani, G. Datkhile, T. Kumar, S. Wagh Electrical Engineering Department Veermata Jijabai Technological
More informationState Space: Observer Design Lecture 11
State Space: Oberver Deign Lecture Advanced Control Sytem Dr Eyad Radwan Dr Eyad Radwan/ACS/ State Space-L Controller deign relie upon acce to the tate variable for feedback through adjutable gain. Thi
More informationRepresentation of a Group of Three-phase Induction Motors Using Per Unit Aggregation Model A.Kunakorn and T.Banyatnopparat
epreentation of a Group of Three-phae Induction Motor Uing Per Unit Aggregation Model A.Kunakorn and T.Banyatnopparat Abtract--Thi paper preent a per unit gregation model for repreenting a group of three-phae
More informationThe Influence of the Load Condition upon the Radial Distribution of Electromagnetic Vibration and Noise in a Three-Phase Squirrel-Cage Induction Motor
The Influence of the Load Condition upon the Radial Ditribution of Electromagnetic Vibration and Noie in a Three-Phae Squirrel-Cage Induction Motor Yuta Sato 1, Iao Hirotuka 1, Kazuo Tuboi 1, Maanori Nakamura
More information15 Problem 1. 3 a Draw the equivalent circuit diagram of the synchronous machine. 2 b What is the expected synchronous speed of the machine?
Exam Electrical Machine and Drive (ET4117) 6 November 009 from 9.00 to 1.00. Thi exam conit of 4 problem on 4 page. Page 5 can be ued to anwer problem quetion b. The number before a quetion indicate how
More informationSensorless PMSM Field Oriented Control Solution Based on TI Cortex-M3
Senorle PMSM Field Oriented Control Solution Baed on TI Cortex-M3 AEDS Team Technical Service Arrow Steven Wang Agenda Permanent Magnet Synchronou Motor Field Oriented Control Realization Senorle Control
More informationSelf-sensing Control of the Externally-Excited Synchronous Machine for Electric Vehicle Traction Application
Self-ening Control of the Externally-Excited Synchronou Machine for Electric Vehicle Traction Application Mohamad Koteich, Amir Meali, Simon Daurelle To cite thi verion: Mohamad Koteich, Amir Meali, Simon
More informationLqr Based Load Frequency Control By Introducing Demand Response
Lqr Baed Load Frequency Control By Introducing Demand Repone P.Venkateh Department of Electrical and Electronic Engineering, V.R iddhartha Engineering College, Vijayawada, AP, 520007, India K.rikanth Department
More informationH DESIGN OF ROTOR FLUX ORIENTED CONTROLLED INDUCTION
H DESIGN OF ROTOR FLUX ORIENTED CONTROLLED INDUCTION MOTOR DRIVES: SPEED CONTROL, STABILITY ROBUSTNESS AND NOISE ATTENUATION João C. Bailio,, Joé A. Silva Jr.,, Jr., and Lui G. B. Rolim, Member, IEEE,
More informationDIRECT TORQUE CONTROL OF THREE PHASE INDUCTION MOTOR USING FUZZY LOGIC SPEED CONTROLLER FOR STEADY/DYNAMIC STATE RESPONSE
DIRECT TORQUE CONTROL OF THREE PHASE INDUCTION MOTOR USING FUZZY LOGIC SPEED CONTROLLER FOR STEADY/DYNAMIC STATE RESPONSE 1 C. MOHAN RAJ, 2 K.KEERTHIVASAN, 3 RANJITH KUMAR DINAKARAN, 4 N.PUSHPALATHA 1
More informationPermanent Magnet Synchronous Motors Direct Torque Control Considering the Effect of Salient Pole
Journal o Modeling and Optimization 8: (16) Permanent Magnet Synchronou Motor Direct Torque Control Conidering the Eect o Salient Pole Wenjie Chen, Yi Zhang, Haieng Wei 1. School o Electrical and Inormation,
More informationOpen Access Study of Direct Torque Control Scheme for Induction Motor Based on Torque Angle Closed-Loop Control. Xuande Ji *, Daqing He and Yunwang Ge
Send Order for Reprint to reprint@benthamcience.ae 6 The Open Electrical & Electronic Engineering Journal, 25, 9, 669 Open Acce Study of Direct Torque Control Scheme for Induction Motor Baed on Torque
More informationR. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
R. W. Erickon Department of Electrical, Computer, and Energy Engineering Univerity of Colorado, Boulder ZOH: Sampled Data Sytem Example v T Sampler v* H Zero-order hold H v o e = 1 T 1 v *( ) = v( jkω
More informationDynamic Simulation of a Three-Phase Induction Motor Using Matlab Simulink
Dynamic Simulation of a ThreePhae Induction Motor Uing Matlab Simulink Adel Aktaibi & Daw Ghanim, graduate tudent member, IEEE, M. A. Rahman, life fellow, IEEE, Faculty of Engineering and Applied Science,
More informationDigital Implementation of Full-Order Flux Observers for Induction Motors
Digital Implementation of Full-Order Flux Oberver for Induction Motor Marko Hinkkanen and Jorma Luomi HELSINKI UNIVERSITY OF TECHNOLOGY Power Electronic Laboratory P.O. Box 3, FIN-5 HUT, Finland marko.hinkkanen@hut.fi,
More informationFractional-Order PI Speed Control of a Two-Mass Drive System with Elastic Coupling
Fractional-Order PI Speed Control of a Two-Ma Drive Sytem with Elatic Coupling Mohammad Amin Rahimian, Mohammad Saleh Tavazoei, and Farzad Tahami Electrical Engineering Department, Sharif Univerity of
More informationPARAMETER IDENTIFICATION OF PERMANENT-MAGNET SYNCHRONOUS MOTORS FOR SENSORLESS CONTROL
PARAMETER IDENTIFICATION OF PERMANENT-MAGNET SYNCHRONOUS MOTORS FOR SENSORLESS CONTROL DRAGOŞ OVIDIU KISCK 1, JUNG HWAN CHANG 2, DO HYUN KANG 3, JI WON KIM 3, 1 DRAGOŞ ANGHEL Key word: Extended electromotive
More informationUSING NONLINEAR CONTROL ALGORITHMS TO IMPROVE THE QUALITY OF SHAKING TABLE TESTS
October 12-17, 28, Beijing, China USING NONLINEAR CONTR ALGORITHMS TO IMPROVE THE QUALITY OF SHAKING TABLE TESTS T.Y. Yang 1 and A. Schellenberg 2 1 Pot Doctoral Scholar, Dept. of Civil and Env. Eng.,
More informationCONTROL OF INTEGRATING PROCESS WITH DEAD TIME USING AUTO-TUNING APPROACH
Brazilian Journal of Chemical Engineering ISSN 004-6632 Printed in Brazil www.abeq.org.br/bjche Vol. 26, No. 0, pp. 89-98, January - March, 2009 CONROL OF INEGRAING PROCESS WIH DEAD IME USING AUO-UNING
More informationA Simplified Methodology for the Synthesis of Adaptive Flight Control Systems
A Simplified Methodology for the Synthei of Adaptive Flight Control Sytem J.ROUSHANIAN, F.NADJAFI Department of Mechanical Engineering KNT Univerity of Technology 3Mirdamad St. Tehran IRAN Abtract- A implified
More informationImplementation of Field Oriented Speed Sensorless Control of Induction Motor Drive
International Journal on Electrical Engineering and Informatic - Volume 8, Number 4, December 216 Implementation of Field Oriented Speed Senorle Control of Induction Motor Drive R. Gunabalan 1 and V. Subbiah
More informationMM7. PID Control Design
MM7. PD Control Deign Reading Material: FC: p.79-200, DC: p.66-68. Propertie of PD control 2. uning Method of PD Control 3. Antiwindup echnique 4. A real cae tudy BO9000 0/9/2004 Proce Control . PD Feedback
More informationSimple Observer Based Synchronization of Lorenz System with Parametric Uncertainty
IOSR Journal of Electrical and Electronic Engineering (IOSR-JEEE) ISSN: 78-676Volume, Iue 6 (Nov. - Dec. 0), PP 4-0 Simple Oberver Baed Synchronization of Lorenz Sytem with Parametric Uncertainty Manih
More informationDigital Control System
Digital Control Sytem - A D D A Micro ADC DAC Proceor Correction Element Proce Clock Meaurement A: Analog D: Digital Continuou Controller and Digital Control Rt - c Plant yt Continuou Controller Digital
More informationDynamic Simulation of NEK Reactor Coolant Pump with a Best Estimate Full Scale Model in APROS
Dynamic Simulation of NEK Reactor Coolant Pump with a Bet Etimate Full Scale Model in APROS ABSTRACT Dejan Slovenc ZEL-EN d.o.o. Hočevarjev trg 1, 870, Krško, Slovenia dejan.lovenc@zel-en.i Ivica Bašić
More informationLecture 8. PID control. Industrial process control ( today) PID control. Insights about PID actions
Lecture 8. PID control. The role of P, I, and D action 2. PID tuning Indutrial proce control (92... today) Feedback control i ued to improve the proce performance: tatic performance: for contant reference,
More informationNo-load And Blocked Rotor Test On An Induction Machine
No-load And Blocked Rotor Tet On An Induction Machine Aim To etimate magnetization and leakage impedance parameter of induction machine uing no-load and blocked rotor tet Theory An induction machine in
More informationCHAPTER 4 DESIGN OF STATE FEEDBACK CONTROLLERS AND STATE OBSERVERS USING REDUCED ORDER MODEL
98 CHAPTER DESIGN OF STATE FEEDBACK CONTROLLERS AND STATE OBSERVERS USING REDUCED ORDER MODEL INTRODUCTION The deign of ytem uing tate pace model for the deign i called a modern control deign and it i
More informationEvolutionary Algorithms Based Fixed Order Robust Controller Design and Robustness Performance Analysis
Proceeding of 01 4th International Conference on Machine Learning and Computing IPCSIT vol. 5 (01) (01) IACSIT Pre, Singapore Evolutionary Algorithm Baed Fixed Order Robut Controller Deign and Robutne
More informationControl Systems Engineering ( Chapter 7. Steady-State Errors ) Prof. Kwang-Chun Ho Tel: Fax:
Control Sytem Engineering ( Chapter 7. Steady-State Error Prof. Kwang-Chun Ho kwangho@hanung.ac.kr Tel: 0-760-453 Fax:0-760-4435 Introduction In thi leon, you will learn the following : How to find the
More informationR. W. Erickson. Department of Electrical, Computer, and Energy Engineering University of Colorado, Boulder
R. W. Erickon Department of Electrical, Computer, and Energy Engineering Univerity of Colorado, Boulder Cloed-loop buck converter example: Section 9.5.4 In ECEN 5797, we ued the CCM mall ignal model to
More informationarxiv: v1 [cs.sy] 24 May 2018
No More Differentiator in : Development of Nonlinear Lead for Preciion Mechatronic Arun Palanikumar, Niranjan Saikumar, S. Haan HoeinNia arxiv:5.973v [c.sy] May Abtract Indutrial conit of three element:
More informationDirect Torque Control using Matrix Converters
Chapter 5 Direct Torque Control uing Matrix Converter The Direct Torque Control (DTC) i a high-dynamic and high performance control technique for induction motor drive which ha been developed in the lat
More informationLecture 5 Introduction to control
Lecture 5 Introduction to control Tranfer function reviited (Laplace tranform notation: ~jω) () i the Laplace tranform of v(t). Some rule: ) Proportionality: ()/ in () 0log log() v (t) *v in (t) () * in
More informationLOW ORDER MIMO CONTROLLER DESIGN FOR AN ENGINE DISTURBANCE REJECTION PROBLEM. P.Dickinson, A.T.Shenton
LOW ORDER MIMO CONTROLLER DESIGN FOR AN ENGINE DISTURBANCE REJECTION PROBLEM P.Dickinon, A.T.Shenton Department of Engineering, The Univerity of Liverpool, Liverpool L69 3GH, UK Abtract: Thi paper compare
More informationAdvanced D-Partitioning Analysis and its Comparison with the Kharitonov s Theorem Assessment
Journal of Multidiciplinary Engineering Science and Technology (JMEST) ISSN: 59- Vol. Iue, January - 5 Advanced D-Partitioning Analyi and it Comparion with the haritonov Theorem Aement amen M. Yanev Profeor,
More informationMAE140 Linear Circuits Fall 2012 Final, December 13th
MAE40 Linear Circuit Fall 202 Final, December 3th Intruction. Thi exam i open book. You may ue whatever written material you chooe, including your cla note and textbook. You may ue a hand calculator with
More informationParameter Setting Method of Fractional Order PI λ D μ Controller Based on Bode s Ideal Transfer Function and its Application in Buck Converter
Parameter Setting Method of Fractional Order PI λ D μ Controller Baed on Bode Ideal Tranfer Function and it Application in Buck Converter Yiwen He, a, Zhen Li,b School of Mechanical and Automotive Engineering,
More informationECE 3510 Root Locus Design Examples. PI To eliminate steady-state error (for constant inputs) & perfect rejection of constant disturbances
ECE 350 Root Locu Deign Example Recall the imple crude ervo from lab G( ) 0 6.64 53.78 σ = = 3 23.473 PI To eliminate teady-tate error (for contant input) & perfect reection of contant diturbance Note:
More informationSaliency Modeling in Radial Flux Permanent Magnet Synchronous Machines
NORPIE 4, Tronheim, Norway Saliency Moeling in Raial Flux Permanent Magnet Synchronou Machine Abtract Senorle control of Permanent Magnet Synchronou Machine i popular for everal reaon: cot aving an ytem
More informationWolfgang Hofle. CERN CAS Darmstadt, October W. Hofle feedback systems
Wolfgang Hofle Wolfgang.Hofle@cern.ch CERN CAS Darmtadt, October 9 Feedback i a mechanim that influence a ytem by looping back an output to the input a concept which i found in abundance in nature and
More informationA PLC BASED MIMO PID CONTROLLER FOR MULTIVARIABLE INDUSTRIAL PROCESSES
ABCM Sympoium Serie in Mechatronic - Vol. 3 - pp.87-96 Copyright c 8 by ABCM A PLC BASE MIMO PI CONOLLE FO MULIVAIABLE INUSIAL POCESSES Joé Maria Galvez, jmgalvez@ufmg.br epartment of Mechanical Engineering
More informationSliding Mode Control of a Dual-Fuel System Internal Combustion Engine
Proceeding of the ASME 9 Dynamic Sytem and Control Conference DSCC9 October -4, 9, Hollywood, California, USA DSCC9-59 Control of a Dual-Fuel Sytem Internal Combution Engine Stephen Pace Department of
More informationEE/ME/AE324: Dynamical Systems. Chapter 8: Transfer Function Analysis
EE/ME/AE34: Dynamical Sytem Chapter 8: Tranfer Function Analyi The Sytem Tranfer Function Conider the ytem decribed by the nth-order I/O eqn.: ( n) ( n 1) ( m) y + a y + + a y = b u + + bu n 1 0 m 0 Taking
More informationA Novel Start-Up Scheme of Stator Flux Oriented Vector Controlled Induction Motor Drive Without Torque Jerk
A Novel Start-Up Scheme of Stator Flux Oriented Vector Controlled nduction Motor Drive Without Torque Jerk Tae-Won Chun, Meong-Kyu Choi * Bimal K. Boe Dept. of Electrical Engineering, Univerity Mu-Gu-Dong,
More informationLecture 8: Sensorless Synchronous Motor Drives
1 / 22 Lecture 8: Sensorless Synchronous Motor Drives ELEC-E8402 Control of Electric Drives and Power Converters (5 ECTS) Marko Hinkkanen Spring 2017 2 / 22 Learning Outcomes After this lecture and exercises
More informationOBSERVER-BASED REDUCED ORDER CONTROLLER DESIGN FOR THE STABILIZATION OF LARGE SCALE LINEAR DISCRETE-TIME CONTROL SYSTEMS
International Journal o Computer Science, Engineering and Inormation Technology (IJCSEIT, Vol.1, No.5, December 2011 OBSERVER-BASED REDUCED ORDER CONTROLLER DESIGN FOR THE STABILIZATION OF LARGE SCALE
More informationRobust Mould Level Control
5 American Control Conference June 8-1, 5. Portland, OR, USA ThA9.4 Robut Mould Level Control J. Schuurman, A. Kamperman, B. Middel, P.F.A van den Boch Abtract In the firt year of production ince, the
More informationDirect Torque Tracking PI-Controller Design for Switched Reluctance Motor Drive using Singular Perturbation Method
Proceeding of the 17th World Congre The International Federation of Automatic Control Direct Torque Tracking PI-Controller Deign for Switched Reluctance Motor Drive uing Singular Perturbation Method Sanjib
More informationAalborg Universitet. Publication date: Document Version Publisher's PDF, also known as Version of record
Aalborg Univeritet Model-baed Control of a Bottom Fired Marine Boiler Solberg, Brian Willum; Kartenen, Clau M. S.; Anderen, Palle; Pederen, Tom Søndergård; Hvitendahl, Poul U. Publication date: 2005 Document
More informationRobust Decentralized Design of H -based Frequency Stabilizer of SMES
International Energy Journal: Vol. 6, No., Part, June 005-59 Robut Decentralized Deign of H -baed Frequency Stabilizer of SMES www.erd.ait.ac.th/reric C. Vorakulpipat *, M. Leelajindakrirerk *, and I.
More informationME 375 FINAL EXAM SOLUTIONS Friday December 17, 2004
ME 375 FINAL EXAM SOLUTIONS Friday December 7, 004 Diviion Adam 0:30 / Yao :30 (circle one) Name Intruction () Thi i a cloed book eamination, but you are allowed three 8.5 crib heet. () You have two hour
More informationThermal Σ- Modulator: Anemometer Performance Analysis
Intrumentation and Meaurement Technology Conference IMTC 007 Waraw, Poland, May 1-3, 007 Thermal Σ- Modulator: Anemometer Performance Analyi Will R. M. Almeida 1, Georgina M. Freita 1, Lígia S. Palma 3,
More informationECEN620: Network Theory Broadband Circuit Design Fall 2018
ECEN60: Network Theory Broadband Circuit Deign Fall 08 Lecture 6: Loop Filter Circuit Sam Palermo Analog & Mixed-Signal Center Texa A&M Univerity Announcement HW i due Oct Require tranitor-level deign
More informationFinding the location of switched capacitor banks in distribution systems based on wavelet transform
UPEC00 3t Aug - 3rd Sept 00 Finding the location of witched capacitor bank in ditribution ytem baed on wavelet tranform Bahram nohad Shahid Chamran Univerity in Ahvaz bahramnohad@yahoo.com Mehrdad keramatzadeh
More informationNONLINEAR CONTROLLER DESIGN FOR A SHELL AND TUBE HEAT EXCHANGER AN EXPERIMENTATION APPROACH
International Journal of Electrical, Electronic and Data Communication, ISSN: 232-284 Volume-3, Iue-8, Aug.-25 NONLINEAR CONTROLLER DESIGN FOR A SHELL AND TUBE HEAT EXCHANGER AN EXPERIMENTATION APPROACH
More informationLecture 8 - SISO Loop Design
Lecture 8 - SISO Loop Deign Deign approache, given pec Loophaping: in-band and out-of-band pec Fundamental deign limitation for the loop Gorinevky Control Engineering 8-1 Modern Control Theory Appy reult
More informationII. DYNAMIC MACHINE MODEL OF AN INDUCTION MOTOR
Direct Torque Control Senorle nduction Motor Drive Uing Space Vector Modulation Manoj Bhaurao Deokate, D. N. Katole 2, R.V.Humane Reearch Scholar, Aitant Profeor, Department of Electrical Engineering,
More informationG(s) = 1 s by hand for! = 1, 2, 5, 10, 20, 50, and 100 rad/sec.
6003 where A = jg(j!)j ; = tan Im [G(j!)] Re [G(j!)] = \G(j!) 2. (a) Calculate the magnitude and phae of G() = + 0 by hand for! =, 2, 5, 0, 20, 50, and 00 rad/ec. (b) ketch the aymptote for G() according
More informationStability regions in controller parameter space of DC motor speed control system with communication delays
Stability region in controller parameter pace of DC motor peed control ytem with communication delay Şahin Sönmez, Saffet Ayaun Department of Electrical and Electronic Engineering, Nigde Univerity, 5124,
More informationFeedback Control Systems (FCS)
Feedback Control Sytem (FCS) Lecture19-20 Routh-Herwitz Stability Criterion Dr. Imtiaz Huain email: imtiaz.huain@faculty.muet.edu.pk URL :http://imtiazhuainkalwar.weebly.com/ Stability of Higher Order
More informationHomework 12 Solution - AME30315, Spring 2013
Homework 2 Solution - AME335, Spring 23 Problem :[2 pt] The Aerotech AGS 5 i a linear motor driven XY poitioning ytem (ee attached product heet). A friend of mine, through careful experimentation, identified
More informationComparison of Hardware Tests with SIMULINK Models of UW Microgrid
Comparion of Hardware Tet with SIMULINK Model of UW Microgrid Introduction Thi report include a detailed dicuion of the microource available on the Univerity- of- Wiconin microgrid. Thi include detail
More informationReal-time identification of sliding friction using LabVIEW FPGA
Clemon Univerity TigerPrint Publication Automotive Engineering 6-26 Real-time identification of liding friction uing LabVIEW FPGA Laine Mear Clemon Univerity, mear@clemon.edu Jeannie S. Falcon IEEE Thoma
More informationA Simple Approach to Synthesizing Naïve Quantized Control for Reference Tracking
A Simple Approach to Syntheizing Naïve Quantized Control for Reference Tracking SHIANG-HUA YU Department of Electrical Engineering National Sun Yat-Sen Univerity 70 Lien-Hai Road, Kaohiung 804 TAIAN Abtract:
More informationReal-Time Identification of Sliding Friction Using LabVIEW FPGA
Real-Time Identification of Sliding Friction Uing LabVIEW FPGA M. Laine Mear, Jeannie S. Falcon, IEEE, and Thoma R. Kurfe, IEEE Abtract Friction i preent in all mechanical ytem, and can greatly affect
More information60 p. 2. A 200hp 600V, 60 Hz 3-phase induction motor has start code F. What line current should be expected at starting? 4 marks.
EE 004 Final Solution : Thi wa a hr exam. A 60 Hz 4 pole -phae induction motor rotate at 740rpm. a) What i the lip? mark b) What i the peed o rotation o the rotor magnetic ield (in rpm)? mark The motor
More informationEXTENDED STABILITY MARGINS ON CONTROLLER DESIGN FOR NONLINEAR INPUT DELAY SYSTEMS. Otto J. Roesch, Hubert Roth, Asif Iqbal
EXTENDED STABILITY MARGINS ON CONTROLLER DESIGN FOR NONLINEAR INPUT DELAY SYSTEMS Otto J. Roech, Hubert Roth, Aif Iqbal Intitute of Automatic Control Engineering Univerity Siegen, Germany {otto.roech,
More informationAalborg Universitet. Published in: Proceedings of the 2013 IEEE ECCE Asia DownUnder
Aalborg Univeritet Modelling, Analyi, and Deign of a Frequency-Droop-Baed Virtual Synchronou Generator for Microgrid Application Du, Yan; Guerrero, Joep M.; Chang, Liuchen; Su, Jianhui; Mao, Meiqin ublihed
More information