Transfer Function and Z-Transform of an Electrical System in MATLAB/Simulink



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Submitted Dec 23, 2022
Published Jun 14, 2023
10.24018/ejmath.2023.4.3.190

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This paper presents the transfer function (T.F) and Z-Transform (Z.T) of an Circuits in MATLAB/Simulink. We have dealt with the electrical system, which consists of circuits in which there is a capacitor, resistance, and capacitance. Simulink is useful for obtaining the response of systems to input functions that are more complicated than step, impulse, ramp, or sine functions. The aims of this paper is to describe the solution of the equations of motion with One Degree and Two Degree Freedom of the equations of motion of the circuits by using transfer function equations in MATLAB/Simulink. We followed two applied mathematical methods to obtain the T.F and Z.F of a circuits in MATLAB/Simulink. Different graphics showed a close match result. Using these methods, researchers can effectively solve the RL and RLC circuit problems while presenting the results in excellent graphical form. The numerical approximation provides an acceptable result using the analytical one as a benchmark when we compare simulation results with analytical results.
Keywords: Transfer Function Z-Transform MATLAB Simulink® RLC Circuits

References

  1. Verma P. Circuit Analysis Using Matlab/Simulink®. International Journal of Enhanced Research in Science Technology & Engineering, 2014;3(9):268-.
     Google Scholar
  2. Bissell C. A history of automatic control. In Springer handbook of automation. Shimon Y. Nof, Ed. Springer, 2009, pp. 53-69.
     Google Scholar
  3. Lobontiu N. System dynamics for engineering students: Concepts and applications. 2nd ed. Academic Press, 2017.
     Google Scholar
  4. Ogata K. Modern control engineering. Upper Saddle River, NJ: Prentice hall; 2010 Jan.
     Google Scholar
  5. Le-Huy H. Modeling and simulation of electrical drives using MATLAB/Simulink and Power System Blockset. In IECON'01. 27th Annual Conference of the IEEE Industrial Electronics Society (Cat. No. 37243) 2001; Nov 29; pp. 1603-1611, vol. 3. IEEE.
     Google Scholar
  6. Bodemann CD, De Rose F. The Successful Development Process with Matlab Simulink in the Framework of ESA's ATV Project. In 55th International Astronautical Congress of the International Astronautical Federation, the International Academy of Astronautics, and the International Institute of Space Law, 2004; pp. U-3.
     Google Scholar
  7. Nehra V. MATLAB/Simulink based study of different approaches using mathematical model of differential equations. International Journal of Intelligent Systems and Applications, 2014 Apr 1;6(5):1.
     Google Scholar
  8. Peddanarappagari KV, Brandt-Pearce M. Volterra series transfer function of single-mode fibers. Journal of lightwave technology, 1997 Dec;15(12):2232-41.
     Google Scholar
  9. Luccarini L, Pulcini D, Canziani R, Giunchi D, Mello P, Sottara D. Signal monitoring toward an intelligent and automatic control of wastewater treatment plant. In Proceedings of the International Symposium of Sanitary and Environmental Engineering, 9th Ed.-SIDISA 2012 2012. ANDIS.
     Google Scholar
  10. Ahmed MA. Transfer Functions and Mathematical Modeling of Dynamic Systems with MATLAB. Doctoral dissertation. Sudan University of Science and Technology, 2018.
     Google Scholar
  11. Nise NS. Control systems engineering. John Wiley & Sons; 2020 Jun 23.
     Google Scholar
  12. Golnaraghi F, Kuo BC. Automatic control systems. McGraw-Hill Education; 2017.
     Google Scholar
  13. Ibrahim D. Engineering simulation with MATLAB: improving teaching and learning effectiveness. Procedia Computer Science. 2011 Jan 1;3:853-8.
     Google Scholar
  14. Palm WJ. System dynamics. New York: McGraw-Hill; 2010.
     Google Scholar
  15. Klee H, Allen R. Simulation of dynamic systems with MATLAB and Simulink. Crc Press; 2016 Apr 19.
     Google Scholar