摘要
为了实现消谐模型的实时求解,寻找一种快速收敛算法是十分必要的。该文根据同伦映射的基本思想,提出了将逆变器消谐方程转化成以M为参数的Cauchy问题并讨论了求解该Cauchy问题的两种算法。通过算例分析与牛顿法作了对比研究,结果表明:该文提出的两种算法都是收敛的,且收敛速度均明显优于牛顿法,其中方法1迭代次数少于方法2,但计算量略有增加。此外,文中还就开关角数量N、输出基波电压幅值与母线电压比值M、步长ΔM等变化对收敛的影响进行了分析,研究发现当M小于0.97时,无论N为多少,步长ΔM多大(最大值等于M),求解过程总 是收敛的。当M大于1时,必须使步长ΔM足够小才能保证求解收敛。
Its very necessary to find a fast speed convergence algorithm to solve the harmonic elimination equations in real-time. The model of transforming the inverter harmonic elimination equations into the cauchy problem is raised in this paper on the basis of Homotopy mapping, and two calculation methods to solving this cauchy problem are also studied. After applying these two calculation methods and Newton iterative algorithm to solve the inverter harmonic elimination equations, it is proved that these two methods raised in this paper are convergent, and the convergence speed are faster than Newton iterative algorithm obviously. The first method raised in this paper needs less iterative numbers than the second, but the calculation increases appreciably. The influences of N, M, ΔM on convergence performance are researched and deduced that the iterative calculation is always convergent no matter what N and ΔM is if M is less than 0.97,however, ΔM must be less enough to guarantee the iterative calculation convergence if M is larger than 1.
出处
《中国电机工程学报》
EI
CSCD
北大核心
2002年第5期27-31,共5页
Proceedings of the CSEE
基金
国家自然科学基金项目(50007001)。
关键词
逆变器
消谐控制
同伦模型
算法分析
inverter
harmonic elimination control
Homotopy algorithm model
