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

Musa Adam Abdullah, Abdel Radi Abdel Rahman Abdel Gadir Abdel Rahman, Anoud Hassan Elzain Ageeb and Aasim Ahmed Babiker Suliman
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Musa Adam Abdullah: University of the Holy Quran and Tassel of Science, Sudan
Abdel Radi Abdel Rahman Abdel Gadir Abdel Rahman: University of the Holy Quran and Tassel of Science, Sudan
Anoud Hassan Elzain Ageeb: Sudan Technical University, Sudan
Aasim Ahmed Babiker Suliman: University of Karary, Sudan

European Journal of Mathematics and Statistics, 2023, vol. 4, issue 3, 9-20

Abstract: 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 (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:epw:ejmath:v:4:y:2023:i:3:id:14190

DOI: 10.24018/ejmath.2023.4.3.190

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