I. V. Amirkhanov, G. A. Karamysheva, I. N. Kiyan, J. Sulikowski, “Technique of mathematical modeling of operation modes for multipurpose isochronous cyclotrons”, Vestnik TVGU. Ser. Prikl. Matem. [Herald of Tver State University. Ser. Appl. Math.], 2010, Issue 16,Pages <nobr>55

Numerical Calculations Models for Physical-Mechanical Systems

Technique of mathematical modeling of operation modes for multipurpose isochronous cyclotrons

I. V. Amirkhanov^a, G. A. Karamysheva^a, I. N. Kiyan^a, J. Sulikowski^b

^a Joint Institute for Nuclear Research, Dubna
^b Institute of Nuclear Physics of the Polish Academy of Sciences, Krakow

Abstract: A technique of mathematical modeling of operation modes for multipurpose isochronous cyclotrons is presented. The considered procedure is based on the calculation of currents in the main coil ($I_{main}$) and trim coils of correction of the main magnetic field ($I_i$, $i$=$1,2,\ldots,z$). The trim coil currents are calculated at a certain level of current in the main coil on the base of mathematical model, which was developed by authors.

Keywords: mathematical model, Gauss method, conditionality number, isochronous cyclotron.

UDC: 004.942

Received: 14.01.2010
Revised: 10.02.2010