Mathematical Model of a Vernier Gimballing Momentum Wheel Supported by Magnetic Bearings

Based on rotor dynamics and gyro dynamics, the mathematical model for a vernier gimballing momentum wheel supported by magnetic bearings was established to analyze the forces and torques generated by the wheel body . The static and couple unbalances of the structure are regarded as two main sources causing periodic disturbances to the stability of the system. Since the rotational speed of the rotor is high, the gyroscopic effect is also an important factor causing interference on the stability. Therefore, the effects of disturbances from above are considered to make the mathematical model be closer to the real state.