摘要
为对用户设定电压值进行精确跟踪以及求解拼波所需的角度,分析了拼波角度和电压有效值的定量关系,介绍可控硅拼波调压系统中非线性方程的推导过程,对求解非线性方程中二分法、牛顿迭代法和弦截法3种常用的方法进行了理论分析。以美国德州仪器公司(TI)的定点DSP芯片TMS320F2812为控制单元,利用其IQmath库函数,设计出3种相应的算法,并对结果进行了比较分析,实验表明牛顿迭代法具有计算速度快、迭代次数少等优点。因此,选择牛顿迭代法作为系统中求解拼波角度的算法。
In a thyristor voltage regulating system,in order to follow the voltage value that the user set and compute the exact voltage synthesis angle,this work analyzed the quantitative relationship of voltage synthesis angle and the Rms voltage.The derivation of the nonlinear equations in this system and the theoretical analysis of three common used methods of solving nonlinear equations,Bisection method,Newton Iteration and Chord Intercept method,were presented.At the same time,using TI's fixed point DSP TMS320F2812 chip with IQmath library as control unit,three corresponding algorithms were programmed and compared.Experiment showed that the Newton Iteration method has many advantages,such as high computing speed and less iteration.At last,Newton Iteration was chosen and used in the thyristor voltage regulating system.
出处
《中国测试》
CAS
2011年第3期70-73,共4页
China Measurement & Test