The article presents an overview of the work carried out at the Joint Institute for Nuclear Research in Dubna since the early 1970s aimed at creating superconducting (SC) magnets for charged particle accelerators. The specified studies made it possible to build the world’s first SC heavy-ion fast-cycling synchrotron — the Nuclotron; magnets for the SIS100 synchrotron of the FAIR project; magnetic systems of the SC Booster and collider of the NICA complex. It also resulted in a development of SC winding for magnet of the medical cyclotron for proton therapy MSC-230, a model magnet for the Chinese HIAF collider project with a record (up to 10 T/s) rate of magnetic field change, a 3-MJ energy storage device based on high-temperature superconductor (HTS), and a concept of magnets for the New Nuclotron made of HTS material for operation at a winding temperature of about 50 K.
The accelerator complex NICA is at the stage of assembling and commissioning. A series of successful runs at the injection complex were carried out using various types of ions. It is planned to continue the linear optics measurements at booster synchrotron, for which several methods are considered. The first one is based on the analysis of turn-by-turn data of the beam orbit going from beam position monitors. The independent component analysis is used for the data processing and results to computation of betatron and synchrotron tunes, beta-functions, phase advances and dispersions. Other methods use orbit response matrix measured with alternate kicks by dipole correctors. Accuracy of optics restoration depends on the technical feasibility of betatron tunes and orbit measurements. Various methods should be firstly accommodated to the accelerator and tested using computational model in order to conclude their potentials and form requirements for future experiments with the beam. The paper describes implementation of independent component analysis to the computer model of the NICA Booster.