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逆变器消谐方程实时精确解的通用初值研究

DOI: 10.13334/j.0258-8013.pcsee.2015.18.023, PP. 4753-4761

Keywords: 消谐方程,基波平衡优化法(FCBO法),伏-秒平衡优化法(VSBO法),修正的FCBO法(MFCBO法),修正的VSBO法(MVSBO法),通用初值

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Abstract:

提出2种确定逆变器消谐方程初值的方法:基波平衡型优化方法(FCBO)与伏-秒平衡型基波优化方法(VSBO)。2种方法都将参考正弦波s(θ)=Usinθ的一个周期2π均匀分为宽度为θ0=2π/Np的Np个子区。每个子区分配一个开通角待定、关断角在子区下边界的PWM脉冲pn(θ)。FCBO法令各个子区的局部正弦波形sn(θ)与该区的脉冲pn(θ)的基波系数相等,VSBO法令sn(θ)与pn(θ)的伏-秒积相等来确定各自pn(θ)的开通角。在此基础上开发出了2种算法简单的通用初值计算公式,对于每一种Np值都只须计算一次初值即可用来求取各种调制系数ma时的消谐方程的实时精确解。借助于通用初值得到的各种条件的消谐方程实时精确解,对初值、真值间接近程度与快速精确求解消谐方程的关系,影响消谐方程精确求解的决定性因素,消谐方程精确解的唯一性,消谐方程精确解存在范围等与消谐方程有关的问题也进行了深入探讨。用现有电力电子电路进行的验证试验表明,文中方法的容差性能好,消谐误差低,实用性强。

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