1.1.Description of magnetic bearings 1.2.State of the art 1.3.The aim of the research 2.Description of hybrid magnetic bearings 2.1.Parameters of magnetic bearings 2.2.The hybrid magnetic bearing with permanent magnets installed in poles (version A) 2.3.The hybrid magnetic bearing with permanent magnets installed in the stator back-iron (version B) 3.Magnetic field equations 3.1.Maxwell's eąuations - Field analysis in magnetic bearings 3.2.Integral field parameters 4.Field models of the hybrid magnetic bearings 4.1.The finite element model for version A of the HMB 4.2.The finite element model for version B of the HMB 4.3.The magnetic equivalent circuit for version A of the HMB 4.4.The magnetic equivalent circuit for version B of the HMB 5.Magnetic circuit geometry influence on the hybrid magnetic bearing parameters 5.1.Analysis of the magnetic circuit geometry influence on parameters of version A of the HMB 5.1.1.An impact of the permanent magnets width 5.1.2.An impact of permanent magnets height 5.1.3.An impact of the bridge thickness for poles with permanent magnets 5.1.4.The stator pole width impact 5.2.Analysis of the magnetic circuit geometry influence on parameters of version B of the HMB 5.2.1.An impact of the width of permanent magnets 5.2.2.The permanent magnets height impact 5.2.3.An impact of the bridge thickness for poles with permanent magnets 5.2.4.The stator pole width impact 6.Mathematical models for transient states of the HMB 6.1.The HMB control system 6.2.The field-circuit indirect-coupled FEM 6.3.The flux-circuit direct-couplcd MEC 6.4.Dynamie simulations for version A of the HMB 6.5.Dynamie simulations for version B of the HMB Appendix A. Description of the test stand Appendix B. Description of the measurement procedures