Improved Gyrator-Capacitor Modeling of Magnetic Circuits with Inclusion of Magnetic Hysteresis

Hayerikhiyavi, Mohammadali and Dimitrovski, Aleksandar (2021): Improved Gyrator-Capacitor Modeling of Magnetic Circuits with Inclusion of Magnetic Hysteresis.

Abstract

Gyrator-Capacitor (G-C) models of electro¬magnetic devices provide a robust and convenient approach for simulation of a combined power device that consists of magnetic and electric/electronic circuits. The G-C model seamlessly links magnetic and electric/electronic sides of the device in a power invariant fashion which is very useful for integrated system analysis. This paper proposes an improved G-C model that includes hysteresis besides the core saturation for a ferromagnetic circuit. The approach has been applied to model a Continuously Variable Series Reactor (CVSR) with electromagnetic coupling between two circuits, a control dc and a controlled ac circuit. Taking into account the ferromagnetic core nonlinearities, the CVSR behaviour is investigated in terms of induced voltages across the windings and corresponding magnetic flux densities.

• Item Type: MPRA Paper
• Language: English
• Keywords: Continuously Variable Series Reactor (CVSR), Gyrator-Capacitor (G-C) model, hysteresis, magnetic amplifier.
• Subjects: O - Economic Development, Innovation, Technological Change, and Growth > O1 - Economic Development > O14 - Industrialization ; Manufacturing and Service Industries ; Choice of Technology; O - Economic Development, Innovation, Technological Change, and Growth > O3 - Innovation ; Research and Development ; Technological Change ; Intellectual Property Rights > O32 - Management of Technological Innovation and R&D; Q - Agricultural and Natural Resource Economics ; Environmental and Ecological Economics > Q3 - Nonrenewable Resources and Conservation > Q32 - Exhaustible Resources and Economic Development

References

[1] S. R. Khazeiynasab and J. Qi, "Generator Parameter Calibration by Adaptive Approximate Bayesian Computation with Sequential Monte Carlo Sampler," in IEEE Transactions on Smart Grid, 2021.

[2] D. C. Hamill, "Gyrator-capacitor modeling: a better way of understanding magnetic components," Proceedings of 1994 IEEE Applied Power Electronics Conference and Exposition - ASPEC'94, Orlando, FL, USA, 1994, vol.1, pp. 326-332.

[3] M. Hayerikhiyavi and A. Dimitrovski, "Gyrator-Capacitor Modeling of A Continuously Variable Series Reactor in Different Operating Modes," 2021 IEEE Kansas Power and Energy Conference (KPEC), 2021.

[4] M. Hayerikhiyavi and A. Dimitrovski. "Comprehensive Analysis of Continuously Variable Series Reactor Using GC Framework". arXiv preprint arXiv:2103.11136. 2021 Mar 20.

[5] Valadkhan S, Morris K, Khajepour A. “Review and Comparison of Hysteresis Models for Magnetostrictive Materials”. Journal of Intelligent Material Systems and Structures. 2009;20(2):131-142.

[6] M. F. Jaafar and M. A. Jabri, "Study and modeling of ferromagnetic hysteresis," 2013 International Conference on Electrical Engineering and Software Applications, 2013, pp. 1-6.

[7] A. Dimitrovski, Z. Li, and B. Ozpineci, “Applications of saturable-core reactors (SCR) in power systems,” presented at the IEEE Power Energy Soc. T&D Conf. Expo., Chicago, IL, USA, 2014.

[8] A. Dimitrovski, Z. Li, and B. Ozpineci, “Magnetic amplifier-based power flow controller,” IEEE Trans. Power Del., vol. 30, no. 4, pp. 1708–1714, Aug. 2015.

[9] M. Young, A. Dimitrovski, Z. Li and Y. Liu, "Gyrator-Capacitor Approach to Modeling a Continuously Variable Series Reactor," IEEE Trans. on Power Delivery, vol. 31, no. 3, pp. 1223-1232, June 2016.

[10] M. Young, Z. Li and A. Dimitrovski, "Modeling and simulation of continuously variable series reactor for power system transient analysis," 2016 IEEE Power and Energy Society General Meeting (PESGM), Boston, MA, 2016, pp. 1-5.

[11] E. Rozanov, S. Ben-Yaakov,” Analysis of Current-controlled Inductors by New SPICE Behavioral Model,” HAIT Journal of Science and Engineering, vol. 2, pp. 558-570.

[12] S. D. Sudhoff, “Magnetics and Magnetic Equivalent Circuits,” in Power Magnetic Devices: A Multi-Objective Design Approach. Wiley-IEEE Press, 2014, pp. 45–112.

[13] “MATLAB - MathWorks - MATLAB & Simulink.” [Online]. Available:https://www.mathworks.com/products/matlab.html.

[14] G. M. Shane and S. D. Sudhoff, “Refinements in anhysteretic characterization and permeability modeling,” IEEE Transactions on Magnetics, vol. 46, no. 11, pp. 3834–3843, 2010.