NONE 20260429120408061 wseas/wseas content-registration-form+ja@crossref.org content-registration-form WSEAS TRANSACTIONS ON COMPUTERS 1109-2750 2224-2872 N. Füsun Oyman Serteller Electric-Electronic Engineering Department, Faculty of Engineering, Marmara University, Istanbul, TURKEY Dursun Ustundag Mathematics Department, Faculty of Science, Marmara University, Istanbul, TURKEY Mehmet Cevri̇ Mathematics Department, Faculty of Science, Istanbul University, Istanbul, TURKEY The analysis and synthesis of electric machines represent pivotal areas of inquiry within the broader field of electric machine study, particularly in the context of the induction motor (IM), which finds extensive application across a range of industrial settings. This study presents a comprehensive dynamic analysis of the 3-phase IM using Mathematica 13.0 software, with the objective of enhancing understanding by providing educationally oriented codes that are ready for further development. While similar analyses have been conducted previously, this study is distinctive in its use of Mathematica in this form. The accuracy of the results has been validated through a comparable MATLAB study. By leveraging the full potential of Mathematica's symbolic computing capabilities, this research addresses existing academic and research gaps and proposes a robust coding structure for IMs. The study employs Mathematica's specialized tools and animation capabilities to elucidate the characteristics of IMs over time, rendering it particularly useful for the design and control of electric machines. Electrical engineering students, who frequently excel in steady-state circuit problems, may encounter difficulties in dealing with time-varying electric machine quantities. Mathematica is a vital tool for electrical machine dynamics research and instruction because it makes it easier to handle intricate symbolic calculations, visualize data, and solve differential equations both symbolically and numerically. 12 31 2025 12 31 2025 261 28 https://creativecommons.org/licenses/by/4.0/deed.en_US 10.37394/23205.2025.24.28 https://wseas.com/journals/computers/2025/a565105-027(2025).pdf A. Diaz, R. Saltares, C. Rodriguez, R.F. Nunez, E.I. Ortiz-Rivera and L. Gonzalez-Llorente, Induction Motor Equivalent Circuit for Dynamic Simulation, IEEE International Electric Machines and Drives Conference, Miami, FL, USA, 2009, pp. 858-863, doi:10.1109/IEMDC.2009.5075304. A. W. Leedy, Simulink/Matlab Dynamic Induction Motor Model for Use in Undergraduate Electric Machines and Power Electronics Courses, Proceedings of IEEE Southeastcon, 2013, pp.1–6, doi: 10.1109/SECON.2013.6567399 A, Sangeetha, B.Parthiban, Review of Modeling and Dynamic Analysis of Three Phase Induction Motor Using MATLAB Simulink, International Journal of Science, Engineering and Technology Research (IJSETR), 3(3), 2014. pp. 374-378, doi: 10.9734/jerr/2024/v26i111331 J. D. Lavers, and R. W. Y. Cheung, A Software Package for The Steady State and Dynamic Simulation of Induction Motor Drives, IEEE Trans Power Syst. Vol. PWRS-1, Miami, FL, USA, May. 1986, pp.167-173, N. Mohan, Advanced Electric Drives- Analysis, Control and Modeling Using MATLAB/Simulink, Wiley & Sons, Inc., Hoboken, New Jersey. 2014. doi: 10.1002/9781118910962.fmatter L. Maraaba, Z. Al-Hamouz, M. Abido . An Efficient Stator Inter-Turn Fault Diagnosis Tool for Induction Motors. Energies 2018, 11, 653, doi:10.3390/en11030653, doi: 10.46300/9109.2023.17.2 V.Sarac, G. Stefanov, Numerical Analysis of Transient and Steady-State Operation of ThreePhase Induction Motor, 13th International Conference On Applied Electromagnetics, Niš, Serbia, 2017. M.Rafał, Simulation of Three-Phase Induction Motor in Scilab, Advanced Research in Scientific Areas, 2012. S. Mann, D.E. Garcia, P.V. Do, D. Lam, P. Scourboutakos, Moveillance: Visualizing Electric Machines, 22nd Symp. on Virt. and Aug. Rea. (SVR), Porto de Galinhas, Brazil, 2020, pp. 420-424, doi: 10.1109/SVR51698.2020.00069 N.F. Oyman Serteller, An Educational Study of Electromagnetic Phenomena on Ferromagnetic Structure Using A Software Environment, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci., 2024, pp. 94: 37–45, doi: 10.1007/s40010-023-00864-6 T.C. O'Connell, P.T. Krein, and J.T. Mossoba, Symbolic Analysis with Mathematica in Power Electronics and Electromechanical Systems IEEE Worksh.on Comp. in Power Elect, 2004, Urbana, IL, USA, pp. 133-139, P.C. Patel, Modeling of Induction Motor, International Journal Of Engineering Development and Research, 2(2), 2014, pp.2077-2082, MIT Open Course Ware, Department Of Electrical Engineering And Computer Science Lecture Notes, Electric Machines. 2013. R.C.Panaitescu, N. Mohan, W. Robbins, P. Jose, T. Begalke, C. Henze, T. Undeland, E. Persson, An Instructional Laboratory for The Revival of Electric Machines and Drives Courses, IEEE 33rd Annual IEEE Power Electronics Specialists Conf. Proceedings, 2002, Cairns, Queensland, Australia, pp. 455-460, M. Konuhova, Induction Motor Dynamics Regimes: A Comprehensive Study of Mathematical Models and Validation, Applied Sciences.,2025,15(3):1527, doi: 10.3390/app15031527