应用于非线性涡流问题的定点谐波平衡改进算法  

The Improved Fixed-Point Harmonic-Balanced Method for the Nonlinear Eddy Current Problems

作　　者：赵小军[1] 关大伟[1] 钟玉廷 孟凡辉[1] 鲁君伟 

机构地区：[1]华北电力大学电力工程系,保定071003 [2]格里菲斯大学格里菲斯工程系

出　　处：《电工技术学报》2017年第1期214-221,共8页Transactions of China Electrotechnical Society

基　　金：国家自然科学基金(51307057);河北省自然科学基金(E2013502323);高等学校博士学科点专项科研基金(20130036120011);中央高校基本科研业务费专项基金(2015MS82)资助

摘　　要：采用基于H-B-M本构关系的定点谐波平衡法,针对含块状导体的涡流问题推导并给出了场路耦合方程的频域形式。利用微分磁阻率确定定点磁阻率的最优取值,在非线性迭代中不断更新定点磁阻率矩阵。通过构造定点磁阻率矩阵为对角阵,有效地降低计算时所需内存,提高计算效率。采用基于割线法的非线性迭代方案,提高谐波解的收敛速度。基于该方法对一维、二维非线性涡流问题进行计算和分析。基于计算结果的对比和分析,验证了改进算法的有效性与准确性。The constitutive relationship based on H -B -M is used in the fixed-point harmonic-balanced method to derive the electromagnetic coupling equation in frequency domain when the eddy current problem with solid conductor is involved in computation. The differential reluctivity is computed to optimally determine the fixed-point reluctivity, and the fixed-point reluctivity matrix is updated in each nonlinear iterative step. The diagonal fixed-point reluctivity matrix is constructed simply to reduce the memory requirement effectively and improve the computational efficiency. The nonlinear iterative scheme based on the secant method is adopted to speed up the convergence of harmonic solutions. Considering the electromagnetic coupling, 1-D and 2-D nonlinear eddy current problems are computed and analyzed to prove the validity and efficiency of the proposed method.

关 键 词：涡流 场路耦合 定点磁阻率 谐波平衡 

分 类 号：TM153[电气工程—电工理论与新技术]