Ayodeji OKUBANJO, Oluwadamilola OYETOLA, Olawale OLALUWOYE, Olufemi ALAO, Adeyemi OLATEJU, Taiwo ABATAN

Modeling and Simulation of DC Motor Using Simelectronics and Simulink

This paper describes the development of mathematical and physical Modeling based simulators in the Simulink © Simscape TM environment as interactive tools to demonstrate the DC motor responses in terms of current, speed and torque. This type of Modeling requires to join the physical components with physical connections to define the underlying dynamic equations of the DC motor. This approach is further compared with the analytical model in Simulink. To support our proposal, numerical simulations and mathematical Modeling of the DC motor are derived using the Lagrangian and Euler-Lagrange approach contrary to the existing Kirchhoff’s’ and Newton laws. The state space model is formulated based on Hamilton’s equation. The simulation models are developed as part of software laboratory support and to enhance undergraduate control systems and machinery courses at Olabisi Onabanjo UniversityA proportional Derivative (PD) controller is implemented for both the models to compensate for fast response in the armature current and electromagnetic torque. A comparative study of the model for the separately excited Dc motor has shown that the models have their own merits and demerits.

Anahtar Kelimeler:

Direct Current Motor, Soimulink and Simelectronics, Hamilton Equation, Euler-Lagrange, PD

Modeling and Simulation of DC Motor Using Simelectronics and Simulink

This paper describes the development of mathematical and physical Modeling based simulators in the Simulink © Simscape TM environment as interactive tools to demonstrate the DC motor responses in terms of current, speed and torque. This type of Modeling requires to join the physical components with physical connections to define the underlying dynamic equations of the DC motor. This approach is further compared with the analytical model in Simulink. To support our proposal, numerical simulations and mathematical Modeling of the DC motor are derived using the Lagrangian and Euler-Lagrange approach contrary to the existing Kirchhoff’s’ and Newton laws. The state space model is formulated based on Hamilton’s equation. The simulation models are developed as part of software laboratory support and to enhance undergraduate control systems and machinery courses at Olabisi Onabanjo University A proportional Derivative (PD) controller is implemented for both the models to compensate for fast response in the armature current and electromagnetic torque. A comparative study of the model for the separately excited Dc motor has shown that the models have their own merits and demerits.

Keywords:

Direct Current Motor, Soimulink and Simelectronics, Hamilton Equation, Euler-Lagrange, PD,

PDF

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[1] E. Can and H. H. Sayan, “THE PERFORMANCE OF THE DC MOTOR BY THE PID CONTROLLING PWM DC-DC BOOST CONVERTER,” Tech. J., vol. 6168, pp. 182–187, 2017.
[2] A. A. Mahfouz and F. A. Salem, “Modeling , Simulation and Dynamics Analysis Issues of Electric Motor , for Mechatronics Applications , Using Different Approaches and Verification by MATLAB / Simulink ( I ).,” I.J. Intell. Syst. Appl., no. April, pp. 39–57, 2013.
[3] Z. Bitar, S. Al, and I. Khamis, “Modeling and Simulation of Series DC Motors in Electric Car,” Energy Procedia, vol. 50, pp. 460–470, 2014.
[4] M. Kim, W. Moon, D. Bae, and I. Park, “Dynamic simulations of electromechanical robotic systems driven by DC motors,” Robotica, vol. 22, no. 5, pp. 523–531, 2004.
[5] N. P. Mahajan and S. B. Deshpande, “Study of Nonlinear Behavior of DC Motor Using,” Int. J. Sci. Res. Publ., vol. 3, no. 3, pp. 1–6, 2013.
[6] Y. V. P. Paulite, N. J. C. Carandang, and E. R. Arboleda, “Smart wheelchair with dual control using touchpad and android mobile device,” Indones. J. Electr. Eng. Informatics, vol. 6, no. 1, pp. 86–96, 2018.
[7] M. R. Khan, “Speed Control of DC Motor under Varying Load Using PID Controller,” Int. J. Eng., no. 9, pp. 38–48. [8] A. B. Yildiz, “Electrical Power and Energy Systems Electrical equivalent circuit based modeling and analysis of direct current motors,” Int. J. Electr. POWER ENERGY Syst., vol. 43, no. 1, pp. 1043–1047, 2012. [9] A. Budianto and K. B. Tawi, “Modeling and simulation for micro DC motor based on simulink Modeling and simulation for micro DC motor based on simulink,” in IOP Conf. Series: Materials Science and Engineering (ICAMMT 2017), 2017, pp. 0–7.
[10] M. R. Corapsiz and H. Kahveci, “The speed control of DC motor under the load condition using PI and PID controllers,” 2017, vol. 020116, p. 020116.
[11] G. Chen and X. Shang, “Simulation used in education for a separately excited DC motor,” World Trans. Eng. Technol. Educ., vol. 12, no. 1, pp. 14–19, 2014.
[12] I. Al-abbas, R. Issa, and H. Sarhan, “Separately Excited DC Motor Parametric Control Using Electronic Workbench,” vol. 2, no. 3, pp. 51–58, 2012.
[13] N. S. Nise, Control systems engineering. Wiley, 2011.
[14] D. Pal, “Modeling , Analysis and Design of a DC Motor based on State Space Approach,” Int. J. Eng. Res. Technol., vol. 5, no. 02, pp. 293–297, 2016.
[15] A. Khanna and T. Gaur, “Model Predictive Control Of Dc Motor Model In Matlab,” Int. J. Sci. Eng. Res., vol. 8, no. 4, pp. 82–85, 2017.
[16] P. Niveditha, N Venkatesan, G Santhoshini, “ijpam.eu,” Int. J. Pure Appl. Math., vol. 117, no. 16, pp. 35–41, 2017.
[17] S. Ayasun, “DC Motor Speed Control Methods Using MATLAB / Simulink and Their Integration into Undergraduate Electric Machinery Courses,” Comput Appl Eng Educ, vol. 15, pp. 347–354, 2007.
[18] N. Patrascoiu, “Modeling and Simulation of the DC Motor Using Matlab and LabVIEW *,” Int. J. Eng. Educ., vol. 21, no. 1, pp. 49–54, 2005.
[19] C. Gencer and M. Gedikpinar, “688-691.pdf,” J. Appl. Sci., vol. 6, no. 3, pp. 688–691, 2006.
[20] K. V. C. R. V. Rajasekhar, “Design and Analysis of DC Motor With PID Controller - A State Space Approach,” ITSI Trans. Electr. Electron. Eng., vol. 1, no. 3, pp. 11–14, 2013.
[21] A. A. A. Emhemed and R. Bin Mamat, “Modelling and simulation for Industrial DC Motor using Intelligent control,” in Procedia Engineering, 2012, vol. 41, no. Iris, pp. 420–425.
[22] C. Felipe and R. Rodas, “A performance comparison of nonlinear and linear control for a DC series motor Una comparación de desempeño del control Lineal y no lineal de un motor de corriente continua,” Cienc. en Desarro., vol. 8, no. 1, pp. 41–50, 2017.
[23] J. Mostafapour, J. Reshadat, and M. Farsadi, “Improved Rotor Speed Brushless DC Motor Using Fuzzy Controller,” Indones. J. Electr. Eng. Informatics, vol. 3, no. 2, pp. 78–88, 2015.
[24] N. K. Saxena, S. Gebrehiwot, and D. Mena, “Controller Design for Electric Motor Derived Vehicle,” Indones. J. Electr. Eng. Informatics, vol. 6, no. 2, pp. 6–12, 2018.
[25] H. Wong and V. Kapila, “Internet-based remote control of a DC motor using an embedded ethernet microcontroller,” Comput. Educ. J., vol. 15, no. 3, pp. 57–67, 2005.
[26] M. F. Işik, “Design and implementation of a training set for distributed system and mechatronic applications: project based learning,” Teh. Vjesn. - Tech. Gaz., vol. 23, no. 6, pp. 1609–1616, 2016.
[27] M. Işik F., M. & Güngör A., “AWERProcedia Information Technology & Computer Science Virtual Laboratory Application for Direct Current Motor Experiments,” in AWERProcedia Information Technology & Computer Science, 2016, no. February, pp. 552–57.
[28] A.A.Okubanjo and O.K.Oyetola, “Modeling and Simulation of Hybrid PV- Thermal (PVT) Systems for Energy Efficiency in Nigeria,” Amity J. Eng. Technol. J. Eng. Technol., vol. 2, no. 1, pp. 7–15, 2017.
[29] D. Puangdownreong, A. Nawikavatan, and C. Thammarat, “Optimal Design of I-PD Controller for DC Motor Speed Control System by Cuckoo Search,” Procedia - Procedia Comput. Sci., vol. 86, no. March, pp. 83–86, 2016.