1st international eurasian conference on … filev scientific committee professor h.hilmi...

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1st INTERNATIONAL EURASIAN CONFERENCE ON

MATHEMATICAL SCIENCES AND APPLICATIONS

PROCEEDING BOOK

SEPTEMBER 03-07, 2012

PRISHTINE KOSOVO

IV

HONORARY COMMITTEE

Professor Misir MARDANOV (Azerbaijan Minister of Education, TWMS President)

Professor Baktyzhan ZHUMAGULAV (Kazakhstan Minister of Education, TWMS Honorary

President)

Professor Sezer Sener KOMSUOGLU (Kocaeli University Rectorate)

Professor Muzaffer ELMAS (Sakarya University Rectorate)

Professor Rugova MUJE (Prishtine University Rectorate)

Professor Azmi OZCAN (Bilecik Seyh EdebaliUniversity Rectorate)

Professor H. Hilmi HACISALIHOGLU (TWMS Honorary President)

Professor Ilyas OZTURK (Sakarya University Faculty of Arts and Sciences Dean)

Professor Fikret ALIYEV (TWMS Vice President)

Professor Amanbek JAINAKOV (TWMS Vice President)

Professor Nargozy DANAEV (TWMS Vice President)

Professor Etibar PANAHOV (TWMS Vice President)

Professor Mahmut ERGUT (TWMS Member of Steering Board)

Professor Murat TOSUN (TWMS Member of Steering Board)

IECMSA-2012 1st International Eurasian Conference on Mathematical Sciences and Applications

V

SCIENTIFIC COMMITTEE

Professor H.Hilmi HACISALIHOGLU (Bilecik Seyh Edebali University)

Professor Fikret ALIYEV (Baku State University)

Professor Eberhard MALKOWSKY (Giessen University)

Professor Ravi P. AGARWAL (Texas University)

Professor Mohammad MURSALEEN (Aligarh Muslim University)

Professor Ekrem SAVAS (Istanbul Commerce University)

Professor Amanbek JAINAKOV (National Academy of Sciences of Kyrgyz Republic)

Professor Kazim ILARSLAN (Kirikkale University)

Professor Selim JUSUFI (Prishtine University)

Professor Sergio AMAT (Polytecnic University of Cartagena)

Professor Cihan OZGUR (Balikesir University)

Professor Sui Sun CHENG (Tsing Hua University)

Professor Levent KULA (Ahi Evran University)

Professor Ibrahim OKUR (Sakarya University)

Professor Rexhep GJERGJI (Prishtine University)

Professor Arif SALIMOV (Atatürk University)

Professor Florim ISUFI (Prishtine University)


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Professor Etibar PANAHOV (Firat University)

Professor Danaev NARGOZY (El-Farabi National Kazakh University)

Professor Varga KALANTAROV (Koc University)

Professor Anatolij DVURECENSKIJ (Slovak Academy of Sciences)

(Baku State University)

Professor Irfan SIAP (Yildiz Tecnical University)

Professor Qendrim GASHI (Prishtine University)

Professor Nuri KURUOGLU (Bahcesehir University)

Professor Halis AYGUN (Kocaeli University)

Professor Muhib LOHAJ (Prishtine University)

Professor Mahmut ERGUT (Firat Universtiy)

Prof. Dr. Arjun K. GUPTA (Bowling Green State University)

Professor Fevzi BERISHA (Prishtine University)

Professor Nihal YILMAZ OZGUR (Balikesir University)

Professor Ali AKHMADOV (Baku State University)

Professor Ramadan ZEJNULLAHU (Prishtine University)

Professor Sadik KELES (Inonu University)

Professor Yusuf YAYLI (Ankara University)

Professor Faton BERISHA (Prishtine University)

Professor Kadri ARSLAN (Uludag University)


VII

Professor Qamil HAXHIBEQIRI (Prishtine University)

Professor Bayram SAHIN (Inonu University)

Professor Harry MILLER (International University of Sarajevo)

Professor Cengizhan MURATHAN (Uludag University)

Professor Soltan ALIYEV (National Academy of Sciences of Azarbaijan Republic)

Professor Fahir Talay AKYILDIZ (Gaziantep University)

Professor Omer AKIN (University of Economics and Technology)

Professor Naim BRAHA (Prishtine University)


VIII

ORGANIZING COMMITTEE

Professor H.Hilmi HACISALIHOGLU (Bilecik Seyh Edebali University)

Professor Murat TOSUN (Sakarya University)

Professor Munir EFENDIJA (Pristhine University)

Professor Kazim ILARSLAN (Kirikkale University)

Professor Cihan OZGUR

Professor Levent KULA (Ahi Evran University)

Professor Halis AYGUN (Kocaeli University)

Professor Avdulla ALIJA (Prishtine University)

Professor Gamar MAMMADOVA (Baku State University)

Professor Nargiz SAFAROVA (Baku State University)

Professor Agim GASHI (Prishtine University)

Professor Latifa AGAMALIEVA (Baku State University)

Professor Naser TRONI (Prishtine University)

Professor Musaj PACARIZI (Prishtine University)

Professor Mimoza DUSHI (Prishtine University)

Professor Naim SYLA (Prishtine University)

Associate Professor Mehmet Ali GUNGOR (Sakarya University)


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Associate Professor Hatice Gül INCE ILARSLAN (Gazi University)

Associate Professor Kamile SANLI KULA (Ahi Evran University)

Associate Professor Soley ERSOY (Sakarya University)

Assistant Professor Emrah Evren KARA (Bilecik Seyh Edebali University)

Assistant Professor Mahmut AKYIGIT (Sakarya University)

Assistant Professor Ergin JABLE (Prishtine University)

Assistant Professor Ercan MASAL (Sakarya University)

Assistant Professor Ayse Zeynep AZAK (Sakarya University)

Assistant Professor Murat SARDUVAN (Sakarya University)

Assistant Professor Mehmet GUNER (Sakarya University)

Assistant Professor Melek MASAL (Sakarya University)

Doctor Bujar FEJZULLAHU (Prishtine University)


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X

SECRETARIAT

Professor Murat TOSUN (Sakarya University)

Lecturer Muhsin CELIK (Sakarya University)

Lecturer Dogan UNAL (Sakarya University)

Research Assistant Hidayet Huda KOSAL (Sakarya University)

Research Assistant Hatice PARLATICI (Sakarya University)

Research Assistant Tulay SOYFIDAN (Erzincan University)

Research Assistant Valbon BYTYQI (Prishtine University)

Research Assistant Fisnik ALIAJ (Prishtine University)


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XII

CONTENTS

INVITED TALKS

Variable-range Approximate Systems: a unified approach to categories of fuzzy topology and theories of fuzzy rough sets Alexander Sostak

1

Minimax Solution of the Problem of The Choice of Optimum Modes for Gas-Lift Process F. A. Aliev, N. Ismayilov

2

Dimension of Fractals 3

The Borwein-Ditor Theorem and My Oxford Moment H. I. Miller

4

Bijective S-boxes and Self Dual Codes P. Sole

5

Index of a Subfactor in a Real FactorSh. A. Ayupov, A. A. Rakhimov

6

ALGEBRA

Transfer of Orbital Integrals and Division Algebras 9

A Combinatorial Discussion on Finite Dimensional Leavitt Path AlgebrasA. Koç,

10

Inequalities Involving ( !)pv nA. Sh. Shabani, V. Krasniqi

11

Zbërthimi në vlera singular I një matrice dhe zbatimeA. Vrapi, F. Hoxha

12

Structure of Intuitionistic Fuzzy Sets in Semihyperrings B. A. Ersoy, B. Davvaz

13

-Vague Module D. Bayrak, S. Yamak

14

-Primitive Elements of Free Metabelian Lie AlgebrasD. Ersalan, Z. G. Esmerligil

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State Estimation in Induction Motors via Block-Pulse Functions 340

Geodesics on the Tangent Sphere Bundle of the 3-sphere 342

One-Sided Similar Ideals in -Semigroups and Some Properties of the Principal Quasi-IdealsI. Braja, E. Domi

343

A Different Characterization of U1(ZC8) 344

The Dependence Described by Copulas in the Reinsurance TreatiesK. Haxhi, O. Zacaj

345

Algebraic Hyperstructure of Soft Sets Associated to Ternary Semihypergroups K. Hila, S. Sadiku, K. Naka

346

Solution of Time-Independent One Dimensional Schrödinger Equation Using Symmetries 347

Parameter Estimation Based on Type-II Fuzzy Logic 348

Intrinsic Geometry of the NLS Equation According to Bishop Frame in Euclidean 3-SpaceM. Ergüt, H. Öztekin, S. Aykurt

349

On the Mcshane Integral on the Riesz spaceM. Shkëmbi, I. Temaj

350

Developing Attitude Scale toward the Geometric Objects for the Preservice TeachersN. Gürefe, A. Kan

352

Modeling the RC Electric Circuit with Finite Element MethodN. Syla, F. Aliaj, S. Avdiaj

353

Extended Caputo Fractional Derivative and Its Applications 354

Non-Symmetric Divisor Problem over the Ring of Gaussian Integers O. Savastru

356

Harmonic Curvature Function of Special Curves in Lie Groups Ekmekci

357

Applications to Markov Chains: Introducing a BONUS-MALUS Model for the MTPL Portfolio in AlbaniaO. Zacaj, K. Haxhi

358

Fractional Calculus Operator for a Singular Sturm-Liouville Equation 360


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State Estimation in Induction Motors via Block-Pulse Functions

Hakan K zmaz (1) and Saadettin Aksoy (2)

(1) Sakarya University, Sakarya, Turkey, [email protected]

(2) Sakarya University, Sakarya, Turkey, [email protected]

Abstract. Field-oriented control techniques can be classified as indirect or

feedforward 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 obtained 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 [1,2,3,4]. However,

the rotor flux can not be directly measured in squirrel-cage induction motors. Therefore, it is

required an estimator or state observer to provide the rotor flux.

Block pulse functions (BPFs) are defined on the interval [0, ]t T and have the

orthogonality property like the Walsh, Chebyshev and Legendre series [5,6,7]. BPFs, like well

known Walsh functions, constitutes a complete set of orthogonal basis functions and appeared

to have application various of fields such as design and analysis linear and nonlinear systems,

control theory and estimation problems [8,9].

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 uses is based on the Block Pulse Functions (BPFs) and

consist of three steps. The algorithm 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 block-pulse series. Thus, we approximate the

continuous-time functions with a set of piecewise constant functions. In this approximation,

the total numbers of steps in the interval [0, ]T , m can be chosen as any positive integer

number. Finally, in the last step, the observer state equations are converted into integral

equations by integrating the terms on either side of the equations. Then, unknown state

estimation vector together with the block-pulse function approximation of known stator

340


voltage and current measurement vectors are substituted in the integral equation. 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 operation conditions. Results obtained by

proposed algorithm are in harmony with the real results.

Keywords. Block-Pulse 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] K. R. PALASINAMY and D. K. BHATTACHARYA, "System identifications via block-pulse functions," International Journal of System Science, vol. 12, no. 5, pp. 643-647, 1981, DOI: 10.1080/00207728108963772.

[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] Murlan S. CORRINGTON, "Solution of Differential and Integral Equations with Walsh Functions," IEEE Transactions On Circuit Theory, vol. CT-20, no. 5, pp. 470-476, September 1973, DOI: 10.1109/TCT.1973.1083748.

[9] N. GOPALSAMI and B. DEEKSHATULU, "Comments On Design of piecewise constant gains for optimal control via Walsh functions," IEEE Transactions On Automatic Control,vol. 21, no. 4, pp. 634-636, August 1976, DOI: 10.1109/TAC.1976.1101253.

341


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PARTICIPANTS

No Title Name, Surname University1 Prof. Dr. Abdugafur Rakhimov National University of Uzbekistan2 Prof. Dr. Ankara University3 Prof. Dr. Abdullah Avey Sofiyev Suleyman Demirel University4 Prof. Dr. Ataturk University5 Prof. Dr.6 Prof. Dr. Ajet Ahmeti University of Prishtina7 Prof. Dr. Alexander Sostak University of Latvia8 Prof. Dr. Ali M. Akhmedov Baku State University9 Prof. Dr. A. Asylkanovich Borubaev Kyrgyz National University

10 Prof. Dr. Amanbek Jainakov National Academy of Sci. of Kyrgyz Rep.11 Prof. Dr. Arif Salimov Ataturk University12 Prof. Dr. Askhad Polatov National University of Uzbekistan13 Prof. Dr. Auzhan Sakabekov Kazakh-British Technical University 14 Prof. Dr. Azmi Özcan Bilecik Seyh Edebali University15 Prof. Dr. Gazi University16 Prof. Dr. Inonu University17 Prof. Dr. Bilal Sherali MES RK18 Prof. Dr. Bujar Xh. Fejzullahu University of Prishtina19 Prof. Dr. B. Asanbekovich Boljiev Kyrgyz Technicall University 20 Prof. Dr. Yuzuncu Yil University21 Prof. Dr. Cihan Özgür22 Prof. Dr. Doost Ali Mojdeh University of Tafresh23 Prof. Dr. Istanbul Ticaret University24 Prof. Dr. Ege University25 Prof. Dr. Firat University26 Prof. Dr. Fahir Talay Akyildiz Gaziantep University27 Prof. Dr. Faton M. Berisha University of Prishtina28 Prof. Dr. Dogus University29 Prof. Dr. Fevzi Berisha FNA-Universiteti i Prishtines30 Prof. Dr. Fikret Aliyev Baku State University31 Prof. Dr. Gamar Mammadova Baku State University32 Prof. Dr. Bilecik Seyh Edebali University33 Prof. Dr. H. S. Akhundov Baku State University34 Prof. Dr. Halis Aygün Kocaeli University35 Prof. Dr. Harry I.Miller International University of Sarajeevo36 Prof. Dr. Trakya University37 Prof. Dr. Hasan Kürüm Firat University38 Prof. Dr. Iskandarov Samandar Nati. Aca. of Sci. of Kyrgyz Rep.39 Prof. Dr. Yildiz Technical University40 Prof. Dr. Jamshid Aliyev Baku State University41 Prof. Dr. K. Ishmakhametov Kyrgyz National University 42 Prof. Dr. Kadri Arslan Uludag Universitesi43 Prof. Dr. K. Bekbolot Emenovich Kyrgyz National University 44 Prof. Dr.

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241 Rsc. Assist. Bashkim Trupaj University of Prishtina242 Rsc. Assist. Banu Pazar Varol Kocaeli University243 Rsc. Assist. Behar Baxhaku University of Prishtina244 Rsc. Assist. Bilecik Seyh Edebali University245 Rsc. Assist. Beste Madran Yeditepe University246 Rsc. Assist. Burim Kamishi University of Prishtina247 Rsc. Assist. Cansu Keskin Dumlupinar University248 Rsc. Assist. Dilek Bayrak Karadeniz Teknik University249 Rsc. Assist. Duygu Dönmez Demir Celal Bayar University250 Rsc. Assist. Ece Yetkin Marmara University251 Rsc. Assist. Edmond Aliaga University of Prishtina252 Rsc. Assist. Elçin Gökmen253 Rsc. Assist. Elver Bajrami University of Prishtina254 Rsc. Assist. Sakarya University255 Rsc. Assist. Marmara University256 Rsc. Assist. Fatih Temiz Yildiz Technical University257 Rsc. Assist. Faton Merovci University of Prishtina258 Rsc. Assist. Fisnik Aliaj University of Prishtina259 Rsc. Assist. Gazmend Nafezi University of Prishtina260 Rsc. Assist. Gazi University261 Rsc. Assist. Gül Güner Karadeniz Teknik University262 Rsc. Assist. Gülsüm Biçer Aksaray University263 Rsc. Assist. Sakarya University264 Rsc. Assist. Sakarya University265 Rsc. Assist. Hatice Topcu266 Rsc. Assist. Hazim Misini University of Prishtina267 Rsc. Assist. Hidayet Hüda Kösal Sakarya University268 Rsc. Assist. Dumlupinar University269 Rsc. Assist. Gaziantep University270 Rsc. Assist. 271 Rsc. Assist. Kajtaz Bllaca University of Prishtina272 Rsc. Assist. Trakya University273 Rsc. Assist. Kushtrim Podrimqaku University of Prishtina274 Rsc. Assist. Mahmut Mak Ahi Evran University275 Rsc. Assist. Mehmet Altay Ünal Ankara University276 Rsc. Assist. Mehmet Fatih Karaaslan Yildiz Technical University277 Rsc. Assist. Merve Görgülü278 Rsc. Assist. Tunceli University279 Rsc. Assist. Nejla Gürefe Gazi University280 Rsc. Assist. Erzincan University281 Rsc. Assist. Nurten Bayrak Yildiz Technical University282 Rsc. Assist. Corum Hitit University283 Rsc. Assist. Okan Kuzu Ahi Evran University284 Rsc. Assist. Osman Zeki Okuyucu Bilecik Seyh Edebali University285 Rsc. Assist. Bilecik Seyh Edebali University286 Rsc. Assist. Övgü Gürel Ankara University287 Rsc. Assist. Marmara University288 Rsc. Assist. Seda Göktepe Yildiz Technical University289 Rsc. Assist. Sefer Avdiaj University of Prishtina

378


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e-mail : conference@)iecmSa.org

[email protected]

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