CAJ | 학술논문

为了实现高旋弹体姿态的高精度测量，对弹丸背景涡流磁场进行了理论研究和数学建模。基于等效线圈的思想推导了涡流磁场的单轴感应模型和三轴等效磁偶极子物理模型。利用磁矩在空间中的磁感应强度分布理论，建立了三轴耦合涡流磁场的数学模型，给出了涡流参数的表达式。结合误差传递的思想分析了涡流磁场引起的姿态测量误差，进行了数值仿真与半实物实验研究。结果表明：利用提出的涡流磁场模型进行补偿后的地磁分量测量误差小于0．01 A/m，补偿后的姿态角解算误差在±1°以内。为了满足高精度弹丸姿态测量的要求，必须要对涡流干扰磁场进行补偿。
위료실현고선탄체자태적고정도측량，대탄환배경와류자장진행료이론연구화수학건모。기우등효선권적사상추도료와류자장적단축감응모형화삼축등효자우겁자물리모형。이용자구재공간중적자감응강도분포이론，건립료삼축우합와류자장적수학모형，급출료와류삼수적표체식。결합오차전체적사상분석료와류자장인기적자태측량오차，진행료수치방진여반실물실험연구。결과표명：이용제출적와류자장모형진행보상후적지자분량측량오차소우0．01 A/m，보상후적자태각해산오차재±1°이내。위료만족고정도탄환자태측량적요구，필수요대와류간우자장진행보상。
In order to realize the high-precision measurement of the attitude of a high-spin projectile, theoretical re-search and a mathematical modeling were carried out for the eddy-current magnetic field ( ECM) of a spinning pro-jectile. A single-axis induction model and a three-axis equivalent magnetic dipole physical model of the ECM were deduced on the basis of the idea of the equivalent coil. Based on the magnetic induction intensity distribution theory of a magnetic moment in space, the mathematical model of a three-axis coupling ECM was established. In addition, an expression of the eddy-current parameters was given. In combination with the idea of error transfer, the attitude measurement errors caused by the background ECM field were analyzed. Additionally, a numerical simulation and a hardware-in-the-loop experiment were conducted. The results show that after compensation is realized through the proposed ECM model, the geomagnetic measurement error rate is less than 0.01A/m;the error rate of the attitude angle lies within ±1°. In order to meet the requirements of a high-precision attitude measurement of a projectile, the compensation must be provided to the ECM.