作者：胡洋洋, 程玉华

作者单位：电子科技大学自动化工程学院, 四川 成都 611731

关键词：可控硅拼波调压; 牛顿迭代法; 二分法; 弦截法; TMS320F2812微控制器

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.

Research on the algorithm of computing voltage synthesis angle in thyristor regulating system

HU Yang-yang, CHENG Yu-hua

School of Automation, University of Electronic Science and Technology of China, Chengdu 611731, China

Abstract: 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.

Keywords: thyristor voltage synthesis regulation; Newton Iteration method; Bisection method; Chord Intercept method; TMS320F2812

2011, 37(3): 70-73  收稿日期: 2010-5-11;收到修改稿日期: 2010-7-24

基金项目: 

作者简介: 胡洋洋(1986-),男,山东淄博市人,硕士研究生,专业方向为自动化调功装置、嵌入式软件开发.

参考文献

[1] 张康乐,雷凯. 一种新型晶闸管拼波控制电路的设计[J]. 自动化信息,2008(10):35-37.
[2] Texas Instruments Incorporated. TMS320C28x系列DSP的CPU与外设(上)[M]. 张卫宁,译. 北京:清华大学出版社,2004:98-119.
[3] 李蒙,雷凯. 基于DSP的高效可控硅交流调压系统的研究[J]. 自动化信息,2009,1(2):36-38.
[4] Texas Instruments Incorporated. C28x IQmath Library[M].Dallas:Texas Instraments Incorporated,2008:21-24.
[5] Nenadic N M, Mladenovic S B. Fast division on fixed-point DSP processors using newton-raphson method[C]∥ IEEE, Computer as a Tool. Eurocon,2005:705-708.
[6] Kincaid D, Cheney W. Numerical Analysis数值分析[M]. 王国荣,译. 北京:机械工业出版社,2005:63-79.
[7] Texas Instruments Incorporated. TMS320C28x系列DSP的CPU与外设(下)[M]. 张卫宁,译. 北京:清华大学出版社,2005:562-571.
[8] 王沫然. Matlab与科学计算[M]. 北京:电子工业出版社,2004:98-101.