International Journal of Intelligent Systems and Applications (IJISA)
IJISA Vol. 6, No. 5, 8 Apr. 2014
Cover page and Table of Contents: PDF (size: 1442KB)
MATLAB/Simulink Based Study of Different Approaches Using Mathematical Model of Differential Equations
Full Text (PDF, 1442KB), PP.1-24
Views: 0 Downloads: 0
Author(s)
Vijay Nehra
1,*
Index Terms
Mathematical Model, System Dynamics, MATLAB, ODE, Electric Circuit, Simulink, Symbolic Computation, Transfer Function
Abstract
A large number of diverse engineering applications are frequently modeled using different approaches, viz., a differential equation or by a transfer function and state space. All these descriptions provide a great deal of information about the system, such as stability of the system, its step or impulse response, and its frequency response.
The present paper addresses different approaches used to derive mathematical models of first and second order system, developing MATLAB script implementation and building a corresponding Simulink model. The dynamic analysis of electric circuit and system using MATLAB/Simulink has been investigated using different approaches for chosen system parameters.
Cite This Paper
Vijay Nehra, "MATLAB/Simulink Based Study of Different Approaches Using Mathematical Model of Differential Equations", International Journal of Intelligent Systems and Applications(IJISA), vol.6, no.5, pp.1-24, 2014. DOI:10.5815/ijisa.2014.05.01
Reference
[1]Zafar A, Differential equations and their applications, PHI, 2010.
[2]Agarwal A and Lang J H, Foundation of Analog and Digital Electronic Circuits, Elsevier, 2011.
[3]Choudhury D R, Networks and System, New Age International Publisher, 2nd Edition, 2010.
[4]Karris S T, Signal and System with MATLAB Computing and Simulink Modeling, Orchard Publications, 2007.
[5]Kalechman M, Practical MATLAB applications for engineers, CRC Press, 2009.
[6]Palamids A. and Veloni A., Signals and systems laboratory with MATLAB, CRC Press, 2010.
[7]Blaho M, Foltin M, Fodrek P and Poliacik P, Preparing advanced MATLAB users, WSEAS Transaction on Advances in Engineering Education, 2010, 7(7):234-243.
[8]Jain S, Modeling and simulation using MATLAB-Simulink, Wiley India, 2011.
[9]Blaho M, Foltin M, Fodrek P and Murgas J, Education of Future Advanced MATLAB Users, MATLAB-A Fundamental Tool for Scientific Computing and Engineering Applications-Volume 3, INTECH, 2012.
[10]Bober W and Stevens A, Numerical and Analytical Methods with MATLAB for Electrical Engineers, CRC Press, 2013.
[11]Dabney J B and Harman T L, Mastering Simulink, Pearson Education, 2004.
[12]Karris S T, Introduction to Simulink with engineering applications, Orchard Publications, 2006.
[13]Harold K and Randal A, Simulation of dynamical system with MATLAB and Simulink, 2nd edition, CRC Press, 2011.
[14]Ibrahim D, Engineering Simulation with MATLAB: improving teaching and learning effectiveness, Procedia Computer Science, 2011, 3: 853-858.
[15]Feng P, Mingxiu L, Dingyu X, Dali C, Jianjiang C, Application of MATLAB in teaching reform and cultivation of innovation talents in universities, IEEE proceedings of 2nd International Workshop on Education Technology and Computer Science,2010, 700-703.
[16]Tahir H H, Pareja T F, MATLAB package and science subjects for undergraduate studies, International Journal for Cross-Disciplinary Subjects in Education, 2010, 1(1): 38-42.
[17]Osowski S, Simulink as an advanced tool for analysis of dynamical electrical systems, Computational Problems of Electrical Engineering, 2011, 1(1):51-60.
[18]J Ryan A Tarcini, Preparing students to accelerate innovation through simulation based engineering and sciences, IEEE 2nd International Workshop proceedings on Education Technology and Computer Science, 2010, 2: 700-703.
[19]Abichandani P, Primerano R and Kam M, Symbolic scientific software skills for engineering students, In the proceedings of IEEE 2nd International Workshop on Education Technology and Computer Science, 2010.
[20]Kazimovich Z M and Guvercin S, Applications of symbolic computation in MATLAB, International Journal of Computer Applications, 2012, 41(8):1-5.
[21]Ahmed W K, Advantages and disadvantages of using MATLAB/ode45 for solving differential equations in engineering applications, International Journal of Engineering , 2013, 7(1):25-31.
[22]Klegka J S, Using Simulink as a design tool, In Proceedings of American Society for Engineering Education Annual Conference and Exposition, 2002.
[23]Frank W. Pietryga, P.E., Solving differential equations using MATLAB/Simulink, In Proceeding of American Society for Engineering Education Annual Conference and Exposition, 2005.
[24]Maddalli R K, Modeling ordinary differential equations in MATLAB Simulink, Indian Journal of Computer Science and Engineering, 2012, 3(3):406-10.
[25]Nehra V, Engineering Simulation Using Graphical Programming Tool Simulink: Putting Theory into Practice, pp. 372-377, In Proceeding of TEQIP Sponsored National Conference on Contemporary Techniques and Technologies in Electronics Engineering, held at DCRUS&T, Murthal, March 13-14, 2013.
[26]Niculescu T, Study of Inductive-Capacitive Series Circuits Using the Simulink Software Package, Technology and Engineering Application & Simulink, InTech, 2012.
[27]Kisabo A B Osheku C A, Adetoro M.A Lanre and Aliyu Funmilayo A., Ordinary Differential Equations: MATLAB/Simulink Solutions, International Journal of Scientific and Engineering Research, 2012, 3(8):1-7.
[28]Ossman K A K, Teaching state variable feedback to technology students using MATLAB and Simulink, In Proceedings of American Society for Engineering Education Annual Conference and Exposition, 2002.
[29]Leros A. and Andreatos A., Using Xcos as a teaching tool in simulation course, In Proceedings of the 6th International Conference on Communications and Information Technology (CIT '12), March 7-9, 2012,121-126, Recent Researches in Communications, Information Science and Education, World Scientific and Engineering Academy and Society (WSEAS) Stevens Point, Wisconsin, USA.