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A novel time-difference fluxgate sensor with weak sinusoidal and Gauss noise excitation is presented in this paper. Expression of the transition rate is derived according to the bistable peculiarity and the Fokker-Planck equation of the soft magnetic material. Relationships among transition rate, external magnetic field, amplitude of the excitation field, and noise intensity are discussed through numerical simulation. By converting the periodic transition rate signal to the square signal, the time difference between the high level and the low level of the square signal can be related with the external magnetic field. And the expression of the sensor's sensitivity is derived. Simulation results show that the sensitivity is inversely proportional to the amplitude and frequency of the excitation magnetic field, and the measuring range is proportional to the amplitude of the excitation magnetic field. Experiments have been carried out on a fluxgate prototype with a measuring range of ±10.7 A/m. The minimum sensitivity could achieve 9.8696 ms/(A/m), and the novel time-difference fluxgate can be of great interest in the detection of quasi-static extremely weak magnetic field.
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Keywords:
- bistable system /
- time-difference fluxgate /
- Gauss noise /
- transition rate
[1] Bulsara A R, Seberino C, Gammaitoni L, Karlsson M F, Lundqvist B, Robinson J W C 2003 Phys. Rev. E 67 016120
[2] Andò B, Baglio S, Bulsara A R, Sacco V 2005 IEEE Sensors J. 5 895
[3] Wang Y, Wu S, Zhou Z, Cheng D, Pang N, Wan Y 2013 Sensors 13 11539
[4] Andò B, Baglio S, Bulsara A R, Trigona C 2009 Sensors Actuat. A: Phys. 151 145
[5] Andò B, Baglio S, Malfa S L, Bulsara, A R 2011 IEEE Instrumentation and Measurement Technology Conference Hangzhou, China, May 10-12, 2011 p1
[6] Li H, Wang Y G 2014 Acta Phys. Sin. 63 120506 (in Chinese) [李欢, 王友国 2014 63 120506]
[7] Zhu G Q, Ding K, Zhang Y, Zhao Y 2010 Acta Phys. Sin. 59 3001 (in Chinese) [朱光起, 丁珂, 张宇, 赵远 2010 59 3001]
[8] Yang M, Li X L, Wu D J 2012 Acta Phys. Sin. 61 160502 (in Chinese) [杨明, 李香莲, 吴大进 2012 61 160502]
[9] Lu H, Cheng D F, Wang Y Z, Zhao L X 2012 Acta Electron. Sin. 40 1701 (in Chinese) [卢浩, 程德福, 王言章, 赵兰霞 2012 电子学报 40 1701]
[10] Lyons D, Mahaffy J M, Palacios A, In V, Longhini P, Kho A 2010 Phys. Lett. A 374 2709
[11] Dai Z C, Du L C, Mei D C 2010 Chin. Phys. B 19 080503
[12] Ando B, Baglio S, Sacco V, Bulsara A R, In V 2008 IEEE Trans. Instrum. Meas. 57 19
[13] Andò B, Baglio S, Bulsara A R, Sacco V 2005 IEEE Instru. Meas. Mag. 8 64
[14] Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Publishing House) pp140-144 (in Chinese) [胡岗 1994 随机力与非线性系统 (上海: 上海科技教育出版社) 第140–144页]
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[1] Bulsara A R, Seberino C, Gammaitoni L, Karlsson M F, Lundqvist B, Robinson J W C 2003 Phys. Rev. E 67 016120
[2] Andò B, Baglio S, Bulsara A R, Sacco V 2005 IEEE Sensors J. 5 895
[3] Wang Y, Wu S, Zhou Z, Cheng D, Pang N, Wan Y 2013 Sensors 13 11539
[4] Andò B, Baglio S, Bulsara A R, Trigona C 2009 Sensors Actuat. A: Phys. 151 145
[5] Andò B, Baglio S, Malfa S L, Bulsara, A R 2011 IEEE Instrumentation and Measurement Technology Conference Hangzhou, China, May 10-12, 2011 p1
[6] Li H, Wang Y G 2014 Acta Phys. Sin. 63 120506 (in Chinese) [李欢, 王友国 2014 63 120506]
[7] Zhu G Q, Ding K, Zhang Y, Zhao Y 2010 Acta Phys. Sin. 59 3001 (in Chinese) [朱光起, 丁珂, 张宇, 赵远 2010 59 3001]
[8] Yang M, Li X L, Wu D J 2012 Acta Phys. Sin. 61 160502 (in Chinese) [杨明, 李香莲, 吴大进 2012 61 160502]
[9] Lu H, Cheng D F, Wang Y Z, Zhao L X 2012 Acta Electron. Sin. 40 1701 (in Chinese) [卢浩, 程德福, 王言章, 赵兰霞 2012 电子学报 40 1701]
[10] Lyons D, Mahaffy J M, Palacios A, In V, Longhini P, Kho A 2010 Phys. Lett. A 374 2709
[11] Dai Z C, Du L C, Mei D C 2010 Chin. Phys. B 19 080503
[12] Ando B, Baglio S, Sacco V, Bulsara A R, In V 2008 IEEE Trans. Instrum. Meas. 57 19
[13] Andò B, Baglio S, Bulsara A R, Sacco V 2005 IEEE Instru. Meas. Mag. 8 64
[14] Hu G 1994 Stochastic Forces and Nonlinear Systems (Shanghai: Shanghai Scientific and Technological Education Publishing House) pp140-144 (in Chinese) [胡岗 1994 随机力与非线性系统 (上海: 上海科技教育出版社) 第140–144页]
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