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RELÜKTANS TÜRÜ İVMELENDİRİCİ DEVRE MODELİ İÇİN LAGRANGE TANIMLAMASI VE SONLU ELEMAN ANALİZLERİ

Relüktans türü ivmelendirici devre modeli için uygun bir Lagrange tanımı sunulmuştur. Magnetostatik sonlu eleman analizi yapan genel amaçlı programların, sunulan model üzerinde ne kadar etkin bir şekilde kullanılabileceği gösterilmiştir. Bir sistemin elektrik devre modeli, sistemi oluşturan parçaların davranışlarını, mekanik parçaların elektriksel eşdeğerleri de dahil olmak üzere akım, gerilim, güç ve enerji dağılımı gibi karşılıklarıyla kolay algılanabilir bir şekilde ortaya sermektedir. Bu tür tahrik sistemleri durağan çalışma şartlarında oldukça basit dinamiğe sahip olmakla birlikte geçiş durumlarında oldukça komplex davranış gösterirler ve çalışma dinamiklerinin anlaşılmaları güçtür. Çalışma, böyle bir yaklaşımın tam bir elektromanyetik alt yapıya sahip olmayan araştırmacılara doymuş veya doymamış relüktans tipi doğrusal veya dairesel hareket eden motor veya elektrikli tahrik sistemlerinin ve dinamik yapılarının daha iyi anlaşılabilmesi için yapılmıştır. Önerilen model ve dinamik davranışlarının sonlu eleman analizleri ile çözümü, bir relüktans ivmelendirici düzeneği gerçeklenip kondansatör boşaltmalı bir devre ile sürülerek doğrulanmıştır.

Anahtar Kelimeler:

Lagrange Tanımlama, Relüktans Türü İvmelendirici, Elektromanyetik İvmelendirici, Bobin Silahı, Elektromanyetik Fırlatıcı

LAGRANGIAN DESCRIPTION AND FINITE ELEMENT ANALYSIS OF RELUCTANCE ACCELERATOR CIRCUIT MODEL

Lagrangian description of electrical circuit model of a reluctance type accelerator system is introduced. The effectiveness of the general purpose magnetostatic finite element analysis (FEA) tools on the introduced model is demonstrated. Electrical equivalent circuit model of the system lays out many properties of the system in terms of voltage, current, power or energy distributions of electrical components, and also electrical equivalent of the mechanical components, in an easily perceivable form. These type of actuators are simple mechanisms when they are in steady state. However, when they are in transient, their dynamics may become very complex. The aim of the study is to show how this approach allows many researchers without the full electromagnetic background, to model and understand the dynamics of the reluctance type linear or rotary motor or actuators whether they are saturated or not. To exhibit the validity of the proposed model and solution of dynamic behaviors with FEA, it is verified on a basic capacitor discharge type driver circuit including the electromagnetic accelerator coil and projectile.

Keywords:

Lagrangian Description, Reluctance accelerator, Electromagnetic accelerator, Coil gun, Electromagnetic launcher,

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Balikci A, Zabar Z., Birenbaum L., and Czarkowski D. (2007). On the Design of Coilguns for Super-Velocity Launchers, IEEE Transactions On Magnetics, Vol. 43, No. 1
Baltzis KB. (2010). The finite element method magnetics (FEMM) freeware package: May it serve as an educational tool in teaching electromagnetics? Educ Inf Technol ; 15: 19. https://doi.org/10.1007/s10639-008-9082-8
Barrera T, Beard R. (2014). Exploration and Verification Analysis of a Linear Reluctance Accelerator. 17th International Symposium on Electromagnetic Launch Technology (EML), La Jolla, CA, USA, DOI10.1109/EML.
Daldaban F, Sarı V. (2016) The Optimization of a Projectile from a three-coil reluctance launcher, Turk J Elec Eng & Comp Sci, (2016) 24: 2771 – 2788, TÜBİTAK, doi:10.3906/elk-1404-18
Griffiths DJ. (2012) Resource Letter EM-1: Electromagnetic Momentum. Am. J. Phys. 80, 7; doi: 10.1119/1.3641979.
Goldstein H, Poole CP, Safko JL. (2002). Classical Mechanics. 3rd ed. Pearson.
Holzgrafe J, Lintz N, Eyre N, Patterson J. (2012). Effect of Projectile Design on Coil Gun Performance, Franklin W. Olin College of Engineering
Kaye RJ. (2005). Operational requirements and issues for coilgun electromagnetic launchers. IEEE T Magn; 41:194-199.
Khandekar S. (2016). Single-Stage Reluctance Type Coilgun, International Journal of Recent Research in Electrical and Electronics Engineering (IJRREEE), Vol. 3, Issue 3, pp: (31-36)
Klimas M, Grabowski D, Piaskowy A. (2016). Efficiency Analysis of an electromagnetic launcher. Elektryka, Silesian University of Technology Publishing, Poland.
McNab IR. (1999). Early Electric Gun Research. IEEE Transactions on magnetics, vol 35:1 pp.250-261.
De Medeiros LH, Reyne G, Meunier G. (1998). Comparison of Global Force Calculations on Permanent Magnets. IEEE Transactions on Magnetics, vol.34, NO.5.
Meeker D. (2004). Finite element method magnetics: User’s manual. 4th ver. , Google Scholar. Rashid MH. (2011). Power Electronics Handbook: Devices, Circuits, and Applications. 3rd ed. USA: Elsevier.
Slade WG. (2005). A Simple Unified Physical Model for a Reluctance Accelerator. IEEE Transactions on Magnetics, 41(11):4270 - 4276
Slade WG. (2006). Fast finite-element solver for a reluctance mass accelerator. IEEE Transactions on Magnetics, 42(9): 2184 - 2192