Angular momentum envelope analysis method of gimbal-type momentum exchange device

To improve the angular momentum envelope analysis efficiency of typical gimbal-type momentum exchange devices such as single-gimbal control moment gyroscope (SGCMG), double-gimbal momentum wheel (DGMW), and magnetically suspended control and sensing gyroscope (MSCSG), a gimbal equivalent-based angular momentum envelope analysis method of gimbal-type momentum wheel was proposed. The similarities and differences of angular momentum exchange principles between SGCMG and DGMW based on a mechanical solid gimbal and MSCSG based on a magnetic levitation micro-gimbal. The equivalent coefficients between radial/axial angular momentum components of SGCMG and MSCSG were studied and designed. The biorthogonal solid gimbal of SGCMG was used to construct the equivalent model of the MSCSG micro-gimbal. The angular momentum expressions of ergodic methods for MSCSG and DGMW were compared, and the applicability of the gimbal equivalent method in the angular momentum analysis of DGMW was analyzed. The error of the gimbal equivalent method was quantified to prove that the absolute error and the direction error of angular momentum calculated by the gimbal equivalent method are both less than one thousandth compared with the traditional ergodic method. The parameter dimensions of the two methods were analyzed to prove the rapidity of the gimbal equivalent method. The angular momentum envelopes of MSCSG and DGMW were simulated and compared based on the traditional ergodic method and the gimbal equivalent method, respectively, which proved the effectiveness of the method. This method has a wider application in angular momentum envelope analysis of MSCSG groups.