Design and Mathematical Analysis of a Novel Reluctance Force-Type Hybrid Magnetic Bearing for Flywheel with Gimballing Capability

Table 1

Main parameters of the RFHMB.

Symbol	Quantity	Designed values
𝜌𝑐0	Length of conical gap	0.8 mm
𝜌𝑟0	Length of radial gap	0.5 mm
𝐷𝑠ra	Outer diameter of radial stator	116 mm
𝐷𝑠co	Maximum outer diameter of conical stator	102 mm
𝐿𝑠ra	Height of radial stator iron	17 mm
𝐿𝑠co	Height of conical stator	6.5 mm
𝐻𝑐	Coercive force of permanent magnet	760 kA/m
𝐵𝑟	Remanence of permanent magnet	1.05 T
𝑁𝑟	Turns of radial control windings	220
𝑁𝑎	Turns of axial control windings	180
𝜎𝑝	Leakage coefficient of bias flux	1.45
𝜎𝑟	Leakage coefficient of radial control flux	1.25
𝜎𝑎	Leakage coefficient of axial control flux	1.2