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3rd International Eurasian Conference on Mathematical Sciences and Applications
i
3RD INTERNATIONAL EURASIAN CONFERENCE ON
MATHEMATICAL SCIENCES AND APPLICATIONS
BOOKS OF ABSTRACTS
25-28 AUGUST 2014
VIENNA-AUSTRIA
3rd International Eurasian Conference on Mathematical Sciences and Applications
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HHONORARY COMMITTEE
Prof. Dr. Muzaffer ELMAS (Sakarya University Rector)
Prof. Dr. Sabine SEIDLER (Vienna University of Technology Rector)
Prof. Dr. Sezer Şener KOMSUOGLU (Kocaeli University Rector)
Prof. Dr. Azmi OZCAN (Bilecik Seyh Edebali University Rector)
3rd International Eurasian Conference on Mathematical Sciences and Applications
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SSCIENTIFIC COMMITTEE
Prof. Dr. Akio KAWAUCHI (Osaka City University)
Prof. Dr. A. Muhammed ULUDAG (Galatasaray University)
Prof. Dr. Ağacık ZAFER (Middle East Technical University)
Prof. Dr. Arif SALIMOV (Ataturk University)
Prof. Dr. Ayşen APAYDIN (Ankara University)
Prof. Dr. Azer HANMEHMETLI (Hacettepe University)
Prof. Dr. Bayram SAHIN (Inonu University)
Prof. Dr. Bijan DAVVAZ (Yazd University)
Prof. Dr. Ekrem SAVAS (Istanbul Commerce University)
Prof. Dr. Emin OZCAG (Hacettepe University)
Prof. Dr. Emine MISIRLI (Ege University)
Prof. Dr. Enrique ZUAZUA (Basque Center for Applied Mathematics)
Prof. Dr. Erdal EKICI (Çanakkale Onsekiz Mart University )
Prof. Dr. Erol BALKANAY (Istanbul Kultur University)
Prof. Dr. Fethi ÇALLIALP (Dogus University)
Prof. Dr. Florian LUCA (National University of Mexico)
Prof. Dr. Gennady A. LEONOV (Saint-Petersburg State University)
Prof. Dr. H. Hilmi HACISALIHOGLU (Bilecik Seyh Edebali University)
Prof. Dr. Halis AYGUN (Kocaeli University)
3rd International Eurasian Conference on Mathematical Sciences and Applications
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Prof. Dr. Hans HAVLICEK (Vienna University of Technology)
Prof. Dr. Harry MILLER (International University of Sarajevo)
Prof. Dr. Hellmuth STACHEL (Vienna University of Technology)
Prof. Dr. Hussain Mohammad Ahmad Al-QASSEM (Qatar University)
Prof. Dr. Idjad K. SABITOV (Moscow State Lomonosov University)
Prof. Dr. Ion MIHAI (University of Bucharest)
Prof. Dr. Jose Luis LOPEZ-BONILLA (National Polytechnic Institute)
Prof. Dr. Josef MIKES (Palacky University)
Prof. Dr. Kadri ARSLAN (Uludag University)
Prof. Dr. Kenan TAS (Cankaya University)
Prof. Dr. Luis Jose ALIAS (Universidad de Murcia)
Prof. Dr. Mahmut ERGUT (Firat University)
Prof. Dr. Manfred HUSTY (University Innsbruck)
Prof. Dr. Marco FONTANA (Roma Tre University)
Prof. Dr. Michael DRMOTA (Vienna University of Technology)
Prof. Dr. Mirna DZAMONJA (University of East Anglia)
Prof. Dr. Muhammad Aslam NOOR (Comsats Institute of Information Technology)
Prof. Dr. Murat ALTUN (Uludag University)
Prof. Dr. Murat DIKER (Hacettepe University)
Prof. Dr. Mustafa CALISKAN (Gazi University)
3rd International Eurasian Conference on Mathematical Sciences and Applications
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Prof. Dr. Müjgan TEZ (Marmara University)
Prof. Dr. Nihal Yılmaz OZGUR (Balikesir University)
Prof. Dr. Norbert HOUNKONNOU (University of Zambia)
Prof. Dr. Nuri KURUOGLU (Bahcesehir University)
Prof. Dr. Oldrich KOWALSKI (Charles University)
Prof. Dr. Ömer AKIN (TOBB University of Economy and Technology)
Prof. Dr. Ravi P. AGARWAL (Texas A&M Unıversity)
Prof. Dr. Reza LANGARI (Texas A&M University)
Prof. Dr. Rıfat GUNES (Inonu University)
Prof. Dr. Rıza ERTURK (Hacettepe University)
Prof. Dr. Richard F. PETERSON (University of North Florida)
Prof. Dr. Salah Eddine KABBAJ (King Fahd University of Petroleum and Minerals)
Prof. Dr. Salim YUCE (Yildiz Technical University)
Prof. Dr. Sever DRAGOMIR (Victoria University)
Prof. Dr. Sharks VOLODYMYR (National Academy of Science of Ukraine)
Prof. Dr. Sotiris NTOUYAS (University of Ioannina)
Prof. Dr. Varga KALANTAROV (Koc University)
Prof. Dr. Viacheslav ARTAMONOV (Moscow State University)
Prof. Dr. Victor ALEXANDROV (Sobolev Institute of Mathematics)
Prof. Dr. Viorel BARBU (Alexandru Ioan Cuza University)
3rd International Eurasian Conference on Mathematical Sciences and Applications
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Prof. Dr. Vladimir MATVEEV (Friedrich Schiller University Jena)
Prof.Dr.Wolfgang SPROESSING (Freiberg University of Mining and Technology)
3rd International Eurasian Conference on Mathematical Sciences and Applications
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OORGANIZING COMMITTEE
Prof. Dr. Murat TOSUN (Sakarya University)
Prof. Dr. Hellmuth STACHEL (Vienna University of Technology)
Prof. Dr. Friedrich MANHART (Vienna University of Technology)
Prof. Dr. Cihan OZGUR (Balikesir University)
Prof. Dr. Ibrahim OKUR (Sakarya University)
Prof. Dr. Levent KULA (Ahi Evran University)
Assoc. Prof. Dr. Mehmet Ali GUNGOR (Sakarya University)
Assoc. Prof. Dr. Melek MASAL (Sakarya University)
Assoc. Prof. Dr. Soley ERSOY (Sakarya University)
Assoc. Prof. Dr. Şevket GUR (Sakarya University)
Assist. Prof. Dr. Ayşe Zeynep AZAK (Sakarya University)
Assist. Prof. Dr. Engin CAN (Sakarya University)
Assist. Prof. Dr. Ercan MASAL (Sakarya University)
Assist. Prof. Dr. Erdal OZUSAGLAM (Aksaray University)
Assist. Prof. Dr. Georg NAWRATIL (Vienna University of Technology)
Assist. Prof. Dr. Gudrun SZEWIECZEK (Vienna University of Technology)
Assist. Prof. Dr. Mahmut AKYIGIT (Sakarya University)
Assist. Prof. Dr. Mehmet GUNER (Sakarya University)
Assist. Prof. Dr. Murat SARDUVAN (Sakarya University)
Assist. Prof. Dr. Volker BRANDING (Vienna University of Technology)
3rd International Eurasian Conference on Mathematical Sciences and Applications
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SSECRETARIAT
Prof. Dr. Murat TOSUN (Sakarya University)
Rsc. Assist. Hidayet Hüda KOSAL (Sakarya University)
Rsc. Assist.. Tülay SOYFIDAN (Sakarya University)
Rsc. Assist. Hatice PARLATICI (Sakarya University)
Lecturer Selman HIZAL (Sakarya University)
3rd International Eurasian Conference on Mathematical Sciences and Applications
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CONTENTS INVITED TALKS Highly Nonlinear Boolean Functions with Optimal Algebraic Immunity C. Carlet On Study's Principle of Transference H. Stachel Relations between Algebraic DNA Structures and Real DNA İ. Şiap, E. S. Öztaş, B. Yıldız, A. Yılmaz Subsets of the Reals that are Countable Dense Homogeneous J. V. Mill Helix in Nature and Science K. İlarslan On Star Selection Principles and Applications L. D. R. Kočinac Perspectives on Regularization of Ill-Posed Problems: Insteractions of Theory, Modeling and Computational Aspects M. Zuhair Nashed Global Stability and Blow up of Solutions to Semilinear Wave Equations V. K. Kalantarov
3rd International Eurasian Conference on Mathematical Sciences and Applications
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Two Parameter Motions on the Galilean Plane M. Çelik, M. A. Güngör Experimental and ab initio Computational Studies on Dimethyl-(4-{4-(3-methyl-3-phenyl-cyclobutyl)-thiazol-2-yl]-hydrazonomethyl}-phenyl)-amine N. Çalışkan, Ç. Yüksektepe, H. Saraçoğlu
Lower Central Factors of the Lie Algebra F/////// 3(F) ' + m (F ' ) N. Ekici Evaluation of Definitions Relating to Some Mathematical Concepts of Secondary School Mathematics Teacher with Semiotic Approach N. Gürefe
On the Eigenvalue Inequalities for Differences of Means of Hilbert Space Operators N. Lovričević, O. Hirzallah, F. Kittaneh, M. Krnić, J. Pečarić
Groups with Operations and Crossed Modules O. Mucuk, T. Şahan On the Determination of a Timelike Developable Spherical Orthotomic Ruled Surface Ö.G. Yıldız, S. Ö. Karakuş, H. H. Hacısalihoğlu A New Approach about the Determination of a Developable Spherical Orthotomic Spacelike Ruled Surface Ö.G. Yıldız, S. Ö. Karakuş, H. H. Hacısalihoğlu On the Tube Surfaces in Minkowski 3-space P. Poşpoş, F. N. Ekmekçi State Estimation in Induction Motors by Using Taylor Series Approximation S. Aksoy, H. Kızmaz Online Statistics Education with Virtual Learning Environments S. Hızal, M. Çelik A Compound Class of Geometric and Lifetimes Distributions S. Hofan Alkarni Analytical and Numerical Modelling of Nonlinear Vector Waves in a Chain Model of Anisotropic Crystals S. Nikitenkova, N. Raj, Y. Stepanyants
3rd International Eurasian Conference on Mathematical Sciences and Applications
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State Estimation in Induction Motors by Using Taylor Series Approximation
Saadettin Aksoy1 and Hakan Kızmaz2
Abstract. Field-oriented control techniques can be classified as indirect or feed
forward method. In the first case, the coordinate transformation is obtained via the slip speed
which is indirectly determined using some parameters. In the second case, the flux
components, which are determined by an observer, are used to obtain the mentioned
transformation [1], [2]. Consequently, estimation of the rotor flux components from terminal
variables such as stator voltage current and rotor angular speed has been a major task in the
theory and practice of the field-oriented control of the induction motors [1]-[5]. HYPERLINK \l
"LIJ05" However, the rotor flux cannot be directly measured in squirrel-cage induction
motors. Therefore, it is required an estimator or state observer to provide the rotor flux. The
Taylor series are defined on the interval t [0,1] and have the orthogonality property like the
Walsh, Chebyshev and Legendre series [6]-[8]. The proposed algorithm uses some important
properties such as the operational matrix of integration for Taylor vector [9].
In this paper, a simple algorithm that uses input-output measurements such as stator
voltage, current and rotor angular speed for the simultaneous estimation of the rotor flux
components of induction motors is presented. The proposed algorithm, which is simple in
form and convenient for computer usage is based on Orthogonal Taylor Series Approximation
and consists of three steps. In the first step, the feedback gain matrix G is a function of speed
and it should be determined for each different speed measurement values. In the second step,
stator voltage and current measurements and unknown state vector are expressed in a Taylor
series. Thus, we approximate the continuous-time functions with Taylor functions. Finally, in
the last step, the observer state equations are converted into integral equations by integrating
the terms on either side of the equations. After some algebraic manipulations, state observer
equation is transformed into a computationally convenient algebraic form whose solution can
be obtained easily by a computer program. Consequently, resulting this recursive solution
unknown state vector is easily calculated. The proposed algorithm has been implemented in
MATLAB and it has been applied to a squirrel-cage induction motor which was fed from
various supply sources such as sinusoidal, six-steps and PWM waveforms at different
1 Siirt University, Siirt, Turkey, [email protected] 2 Sakarya University, Sakarya, Turkey, [email protected]
3rd International Eurasian Conference on Mathematical Sciences and Applications
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operation conditions. Results obtained by proposed algorithm are in harmony with the real
results.
Keywords. Orthogonal Functions, Observers, State Estimation, Induction Machine.
References
[1] B. K. Bose, Modern Power Electronics And AC Drives. USA: Prentice-Hall, 2002.
[2] G. C. Verghese and S. R. Sanders, "Observer For Flux Estimation In Induction Machines,"
IEEE Transactions On Industry Electronics, vol. 35, no. 1, February 1988.
[3] Jingchuan Li, Longya Xu, and Zheng Zhang, "An Adaptive Sliding-Mode Observer For
Induction Motor Sensorless Speed Control," IEEE Transactions On Industry Applications,
vol. 41, no. 4, July/August 2005.
[4] M. G. Simoes and B. K. Bose, "Neural Network Based Estimation Of Feedback Signals
For A Vector Controlled Induction Motor Drive," IEEE Transactions On Industry
Applications, vol. 31, no. 3, pp. 620-629, May/June 1995.
[5] L. Salvatore, S. Stasi, and L. Tarchioni, "A New EKF-Based Algorithm For Flux
estimation In Induction Machines," IEEE Transactions On Industrial Electronics, vol. 40, no.
5, pp. 496-504, 1993, DOI: 10.1109/41.238018.
[6] G. Sansone, Orthogonal Functions. New York: Interscience Publishers, 1991.
[7] P. Stavroulakis and S. Tzafestas, "Walsh Series Approach to Observer an Filter Design in
Optimal Control Systems," International Journal of Control, vol. 26, no. 5, pp. 721-736, 1977.
[8] Liu Cheng-Cilan and Y. P. Shih, "Analysis and Optimal Control of Time-Varying Systems
via Chebyshev Polynomials," International Journal of Control, vol. 38, no. 5, pp. 831-842,
1983.
[9] P. D. Sparis and S. G. Moutroutsas, "Analysis and Optimal Control of Time-Varying
Linear Systems via Taylor Series," International Journal of Control, vol. 41, pp. 831-842,
1985.
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3rd International Eurasian Conference on Mathematical Sciences and Applications
- 559 -
Rsc. Assist. Anna Tatarczak Maria Curie-Skłodowska University in Lublin Rsc. Assist. Ayşe Yılmaz Ceylan Akdeniz University Rsc. Assist. Azime Çetinkaya Piri Reis University Rsc. Assist. Başak Gever TOBB University of Economics and Techonology Rsc. Assist. Bengi Yıldız Bilecik Şeyh Edebali University Rsc. Assist. Betül Atay Ege University Rsc. Assist. Beyhan Uzunoğlu Ankara University Rsc. Assist. Bilal Demir Balikesir University Rsc. Assist. Bilal Özçakır Ahi Evran University Rsc. Assist. Burak Yıldız Middle East Technical University Rsc. Assist. Burcu Nur Baştürk Uludag University Rsc. Assist. Buşra Aktaş Firat Universty Rsc. Assist. Cahit Aytekin Ahi Evran University Rsc. Assist. Cansu Keskin Dumlupinar University Rsc. Assist. Çağatay Teke Sakarya University Rsc. Assist. Çağla Ramis Ankara University Rsc. Assist. Çağrı Ataseven Dumlupinar University Rsc. Assist. Deniz Eroğlu Anadolu University Rsc. Assist. Deniz Özonur Gazi University Rsc. Assist. Dilek Sabancı Gaziosmanpaşa University Rsc. Assist. Dilsad Nazmiye Güven Gazi University Rsc. Assist. Ece Yetkin Marmara University
Rsc. Assist. El-Sayed Abdel-Raoof M. El-Hady Universität Innsbruck
Rsc. Assist. Emel A. Uğurlu Yildiz Technical University Rsc. Assist. Emine Celiker Eastern Mediterranean University Rsc. Assist. Emre TAŞ Ankara University Rsc. Assist. Eray Sabancı Gaziosmanpaşa University Rsc. Assist. Esra Karataş Hacettepe University Rsc. Assist. Fatih Uludağ Yuzuncu Yil University Rsc. Assist. Fatma Yeşil Gazi University Rsc. Assist. Fatma Yılmaz Gazi University Rsc. Assist. Gül Deniz Çaylı Karadeniz Technical University Rsc. Assist. Gül Güner Karadeniz Technical University Rsc. Assist. Gülsüm Yüca Aksaray University Rsc. Assist. Hakan Kızmaz Sakarya University Rsc. Assist. Harun Onar Selcuk University Rsc. Assist. Hasan Aykut Karaboğa Yildiz Technical University
09.11.2015 I E C M S A III. Uluslararası Avrasya Matematik Bilimleri ve Uygulamaları Konferansı
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Contact Prof.Dr. Murat TOSUNSakarya UniversityDepartments of MathematicsSakarya / TURKEYe-mail: [email protected] [email protected]
Announcement Location of IECMSA2014
IECMSA-20143RD INTERNATIONAL EURASIAN CONFERENCE ON
MATHEMATICAL SCIENCES AND APPLICATIONS VIENNA-AUSTRIA
