CAJ | 학술논문

　　电磁式 PT 铁芯的磁通-电流特性曲线通常基于试验测得的伏安特性数据，对待拟合参数进行最小二乘估计获得。由于试验样本数据较多，采用传统的牛顿法求解存在雅克比矩阵规模较大、受初始值影响较大、迭代计算可能无法收敛等问题。提出一种基于一般多项式和正交函数系的待拟合参数复合求解方法，使雅克比矩阵规模仅与待拟合参数的数量有关，与试验样本数据的数量无关，可有效控制求解迭代过程中雅克比矩阵的规模，从而提高了计算效率，保证了迭代的收敛性，使整个计算过程更加稳定。算例仿真验证了该复合求解方法能够简化计算过程，且具有较高的拟合精度，在试验数据量较多的情况下更能突出其优越性。
　　전자식 PT 철심적자통-전류특성곡선통상기우시험측득적복안특성수거，대대의합삼수진행최소이승고계획득。유우시험양본수거교다，채용전통적우돈법구해존재아극비구진규모교대、수초시치영향교대、질대계산가능무법수렴등문제。제출일충기우일반다항식화정교함수계적대의합삼수복합구해방법，사아극비구진규모부여대의합삼수적수량유관，여시험양본수거적수량무관，가유효공제구해질대과정중아극비구진적규모，종이제고료계산효솔，보증료질대적수렴성，사정개계산과정경가은정。산례방진험증료해복합구해방법능구간화계산과정，차구유교고적의합정도，재시험수거량교다적정황하경능돌출기우월성。
The flux-current characteristic curve of electromagnetic PT is usually obtained by estimating the fitting parameters based on the Least Square method and experimental U I- characteristic data. When the equation set is solved with traditional Newton method, the Jacobian matrix has a larger scale and is badly affected by the initial value of fitting parameters due to large amount of experimental data. The iteration is probably not convergent. A comprehensive fitting parameters’ solving method based on the combination of the general polynomial and orthogonal function system is presented. This method makes the scale of Jacobian matrix downsized and confined by the number of fitting parameters rather than that of experimental data. Therefore, the calculation efficiency is enhanced and the convergence of iteration is guaranteed. And the whole computational process is more stable. Simulation verifies that this method can simplify the overall calculation and has higher fitting accuracy. In case of large amount of experimental data, the superiority of this method can be better projected.