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Abstract

This paper presents an analysis of the stator teeth geometry impact on the parameters of the 8-pole radial magnetic bearing. In this paper, such parameters as current gain and position stiffness have been analysed. Additionally, we have proposed criteria for evaluating the characteristics of these parameters by calculating the variability of current gain and position stiffness. The research has been performed by solving the magnetic bearing actuator boundary problem using the finite element method. Magnetic force has been calculated using the Maxwell stress tensor method. Other parameters, such as current gain and position stiffness have been calculated as partial derivate of the force with respect to control current and position of the rotor.

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Authors and Affiliations

Bronisław Tomczuk
Dawid Wajnert
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Abstract

The paper reports on investigation and development of a flywheel device intended for an energy storage prototype. The goal was to design and experimentally verify the concept of self-integrated flywheel with smart control of energy flow and accumulation. The Flywheel Energy Storage System (FESS) must has high energy efficiency and structural robustness. Investigation on structural dynamics of the composite flywheel connected with outer type rotor was carried out using Finite Element Method. The FESS is designed to run in vacuum and is supported on low-energy, controlled, active magnetic bearings (AMBs). The flywheel device of 10 MJ energy density and a weight of 150 kg with two integrated rotors/generators of 50 kW power density each is intended to operate up to 40 000 rpm.

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Authors and Affiliations

Arkadiusz Mystkowski
Artur Rowiński
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Abstract

The paper presents a simulation model of the hybrid magnetic bearing dedicated to simulations of transient state. The proposed field-circuit model is composed of two components. The first part constitutes a set of ordinary differential equations that describes electrical circuits and mechanics. The second part of the simulation model consists of parameters such as magnetic forces, dynamic inductances and velocity-induced voltages obtained from the 3D finite element analysis. The MATLAB/Simulnik softwarewas used to implement the simulation model with the required control system. The proposed field-circuit model was validated by comparison of time responses with the prototype of the hybrid magnetic bearing.

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Bibliography

[1] G. Schweitzer and H. Maslen. Magnetic bearings, theory, design, and application to rotating machinery. Springer, 2009.
[2] L. Ji, L. Xu, and Ch. Jin. Research on a low power consumption six-pole heteropolar hybrid magnetic bearing. IEEE Transactions on Magnetics, 49(8):4918–4926, 2013. doi: 10.1109/TMAG.2013.2238678.
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[5] B. Tomczuk, A. Waindok, and D. Wajnert. Transients in the electromagnetic actuator with the controlled supplier. Journal of Vibroengineering, 14(1):39–44, 2012. https://www.jvejournals.com/article/10546/pdf.
[6] B. Tomczuk and M. Sobol. A field-network model of a linear oscillating motor and its dynamics characteristics. IEEE Transactions on Magnetics, 41(8):2362–2367, 2005. doi: 10.1109/TMAG.2005.852941.
[7] B. Tomczuk and D.Wajnert. Field–circuit model of the radial active magnetic bearing system. Electrical Engineering, 100(4):2319–2328, 2018. doi: 10.1007/s00202-018-0707-7.
[8] J. Zimon, B. Tomczuk, and D. Wajnert. Field-circuit modeling of AMB system for various speeds of the rotor. Journal of Vibroengineering, 14(1):165–170, 2012. https://www.jvejournals.com/article/10565/pdf.
[9] M. Łukaniszyn, M. Jagieła and, R.Wróbel. Electromechanical properties of a disc-type salient pole brushless DC motor with different pole numbers. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 22(2):285–303, 2003. doi: 10.1108/03321640310459216.
[10] M. Łukaniszyn, R. Wróbel, and M. Jagieła. Field-circuit analysis of construction modifications of a torus-type PMDC motor. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 22(2):337–355, 2003. doi: 10.1108/03321640310459261.
[11] R. Pollanen, J. Nerg, and O. Pyrhonen. Reluctance network method based dynamic model of radial active magnetic bearings. In Proceedings of the 2005 IEEE International Magnetics Conference (INTERMAG), pages 715–716, Nagoya, Japan, 4–8 April, 2005. doi: 10.1109/INTMAG.2005.1464144.
[12] M. Antila, E. Lantto and A. Arkkio. Determination of forces and linearized parameters of radial active magnetic bearings by finite element technique. IEEE Transactions on Magnetics, 34(3):684–694, 1998. doi: 10.1109/20.668066.
[13] B. Polajzer, G. Stumberger, J. Ritonja, and D. Dolinar. Variations of active magnetic bearings linearized model parameters analyzed by finite element computation. IEEE Transactions on Magnetics, 44(6):1534–1537, 2008. doi: 10.1109/TMAG.2007.916650.
[14] B. Tomczuk and D. Koteras. 3D Field Analysis in 3-phase amorphous modular transformer under increased frequency operation. Archives of Electrical Engineering, 64(1):119–127, 2015. doi: 10.1515/aee-2015-0011.
[15] Z. Badics and Z.J. Cendes. Source field modeling by mesh incidence matrices. IEEE Transactions on Magnetics, 43(4):1241–1244, 2007. doi: 10.1109/TMAG.2006.890967.
[16] D. Wajnert and B. Tomczuk. Simulation for the determination of the hybrid magnetic bearing’s electromagnetic parameters. Przegląd Elektrotechniczny, 93(2):157–160, 2017. http://pe.org.pl/articles/2017/2/34.pdf.
[17] A. Mystkowski. Energy saving robust control of active magnetic bearings in flywheel. Acta Mechanica et Automatica, 6(3):72–76, 2012.
[18] A. Piłat. PD control strategy for 3 coils AMB. In Proceedings of the 10th International Symposium on Magnetic Bearing, pages 34–39, Martigny, Switzerland, August 21–23, 2006.
[19] D. Kozanecka. Digitally controlled magnetic bearing. Łódz University of Technology, 2001 (in Polish).
[20] S. Myburgh, G. von Schoor, and E. O. Ranft. A non-linear simulation model of an active magnetic bearings supported rotor system. In Proceedings of The XIX International Conference on Electrical Machines (ICEM 2010), pages 1–6, Rome, Italy, 6–8 September 2010. doi: 10.1109/ICELMACH.2010.5607982.
[21] Z. Gosiewski and A. Mystkowski. Robust control of active magnetic suspension: Analytical and experimental results. Mechanical Systems and Signal Processing, 22(6):1297–1303, 2008. doi: 10.1016/j.ymssp.2007.08.005.
[22] A. Mystkowski. Robust control of vibration of the magnetically suspended rotor. Ph.D. Thesis, AGH University of Science and Technology, Cracow, Poland, 2007 (in Polish).
[23] A. Piłat. Control of magnetic levitation systems. Ph.D. Thesis, AGH University of Science and Technology, Cracow, Poland, 2002 (in Polish).
[24] Z. Gosiewski. Magnetic bearings for rotating machines. Controlling and research. Biblioteka Naukowa Instytutu Lotnictwa, 1999 (in Polish).
[25] K. Falkowski. The development of the laboratory model of the gyroscope with the magnetically levitating rotor and its research. Ph.D. Thesis, Warsaw University of Technology, Warsaw, Poland, 1999 (in Polish).
[26] G.F. Franklin, J.D. Powell and A. Emami-Naeini. Feedback control of dynamic systems. Prentice Hall, 2002.
[27] S. Szymaniec. “Measurement paths” used to measure relative vibrations in electric machines. Zeszyty Problemowe – Maszyny Elektryczne, 81:55–60, 2009 (in Polish).
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Authors and Affiliations

Dawid Wajnert
1

  1. Opole University of Technology, Department of Electrical Engineering and Mechatronics, Opole, Poland.
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Abstract

The paper presents a numerical model of the novel design of the axial magnetic bearing with six cylindrical poles. The motivation behind this idea was to eliminate vibrations in rotating machinery due to the axial load. Common conception of such a bearing provides a single component of the electromagnetic force, which is not enough to reduce transverse and lateral vibrations of the armature. The proposed design allows for avoiding wobbling of the disc with the use of a few axial force components that are able to actively compensate the axial load and stabilise the disc in a balanced position. Before a real device is manufactured, a virtual prototype should be prepared. The accurate numerical model will provide essential knowledge about the performance of the axial magnetic bearing.

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Authors and Affiliations

Bartłomiej Marian Sikora
Adam Krzysztof Pilat
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Abstract

This paper deals with research on the magnetic bearing control systems for a high-speed rotating machine. Theoretical and experimental characteristics of the control systems with the model algorithmic control (MAC) algorithm and the proportional-derivative (PD) algorithm are presented. The MAC algorithm is the non-parametric predictive control method that uses an impulse response model. A laboratory model of the rotor-bearing unit under study consists of two active radial magnetic bearings and one active axial (thrust) magnetic bearing. The control system of the rotor position in air gaps consists of the fast prototyping control unit with a signal processor, the input and output modules, power amplifiers, contactless eddy current sensors and the host PC with dedicated software. Rotor displacement and control current signals were registered during investigations using a data acquisition (DAQ) system. In addition, measurements were performed for various rotor speeds, control algorithms and disturbance signals generated by the control system. Finally, the obtained time histories were presented, analyzed and discussed in this paper.
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Bibliography

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  14.  B. Tomczuk, J. Zimon, and K. Zakrzewski, “Integral parameters determination in the magnetic bearing using finite element method,” Computational Electromagnetics (CEM), 6th International Conference on Computational Electromagnetics, Germany, 2006, pp. 1‒4.
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Authors and Affiliations

Paulina Kurnyta-Mazurek
1
Tomasz Szolc
2
ORCID: ORCID
Maciej Henzel
1
Krzysztof Falkowski
1

  1. Faculty of Mechatronics, Armament and Aerospace, Military University of Technology, ul. gen. Sylwestra Kaliskiego 2, 00-908, Warsaw, Poland
  2. Institute of Fundamental Technological Research, Polish Academy of Science, ul. Adolfa Pawińskiego 5B, 02-106, Warsaw, Poland

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