{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:01:56Z","timestamp":1760144516663,"version":"build-2065373602"},"reference-count":22,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,4,24]],"date-time":"2024-04-24T00:00:00Z","timestamp":1713916800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"National Natural Science Foundation of China","award":["52075545","2017000026833ZK23"],"award-info":[{"award-number":["52075545","2017000026833ZK23"]}]},{"name":"Beijing Youth Top-Notch Talent Support Program","award":["52075545","2017000026833ZK23"],"award-info":[{"award-number":["52075545","2017000026833ZK23"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Aiming at the influence of the magnetic flux density uniformity error (MFDUE) of the Lorentz force magnetic bearing (LFMB) on the sensitivity accuracy of magnetically suspended control and sensing gyroscopes (MSCSGs) on the angular rate of a spacecraft, a high precision measurement method of the angular rate of a spacecraft based on the MFDUE compensation of LFMB is proposed. Firstly, the structure of MSCSG and the sensitivity principle of MSCSG to the spacecraft angular rate are introduced. The mechanism influencing the accuracy of MSCSG to spacecraft angular rate sensitivity is deduced based on the definition of magnetic flux density uniformity. Secondly, the 3D magnetic flux distribution of LFMB is analyzed using ANSYS. The relationship between the rotor tilt angle, tilt angular rate, and magnetic flux density is established. The induced current calculation model due to MFDUE is proposed, and the LFMB magnetic flux density error compensation is realized. Finally, the simulation results show that the estimation accuracy of the induced current by the proposed method can reach 96%, and the simulation and the experiment show that the error compensation method can improve the accuracy of MSCSG in measuring the spacecraft angular rate by 12.5%.<\/jats:p>","DOI":"10.3390\/s24092683","type":"journal-article","created":{"date-parts":[[2024,4,24]],"date-time":"2024-04-24T03:56:31Z","timestamp":1713930991000},"page":"2683","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Analysis and Compensation of Lorentz Force Magnetic Bearing Magnetic Flux Density Uniformity Error"],"prefix":"10.3390","volume":"24","author":[{"given":"Chunmiao","family":"Yu","sequence":"first","affiliation":[{"name":"The Department of Astronautics Science and Technology, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yuanwen","family":"Cai","sequence":"additional","affiliation":[{"name":"The Department of Astronautics Science and Technology, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Weijie","family":"Wang","sequence":"additional","affiliation":[{"name":"The Department of Astronautics Science and Technology, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenjing","family":"Han","sequence":"additional","affiliation":[{"name":"The Department of Astronautics Science and Technology, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zengyuan","family":"Yin","sequence":"additional","affiliation":[{"name":"The Astronaut Center of China, Beijing 100094, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenting","family":"Han","sequence":"additional","affiliation":[{"name":"The Department of Astronautics Science and Technology, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,4,24]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1109\/TMECH.2021.3063722","article-title":"Micro-Jitter Control of Magnetically Suspended Control Moment Gyro Using Adaptive LMS Algorithm","volume":"27","author":"Li","year":"2022","journal-title":"IEEE-ASME Trans. 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