Affiliations: [a] College of Electronic Information and Automation of Guilin Institute of Aerospace Industry, Guilin, Guangxi 541004, China | [b] Beijing Si Fang Automation Co., Ltd, Beijing 100085, China | [c] Guangxi Experiment Center of Information Science, Guilin, Guangxi 541004, China
Correspondence:
[*]
Corresponding author: Mei-Jie Song, College of Electronic Information and Automation of Guilin Institute of Aerospace Industry, Guilin, Guangxi 541004, China. E-mail: songmj83@126.com.
Abstract: Microcomputer Protection System usually needs to carry on Square Root Operations, such as Newton iterative algorithm, traditional Taylor Expansion algorithm, etc. However, there is not enough high precision to calculate for traditional Square Root Operations. Address to this issue, Taylor Expansion and Piecewise Calculation Square Root algorithm is purposed. In this algorithm, square root algorithm of Taylor Expansion and piecewise calculation are used, and then by successive approximation method the error is reduced. At last, by piecewise calculation the radicand is lessening. Simulation shows that, compared error between uniform segment method and non-uniform segment method, Taylor Expansion and Piecewise Calculation Square Root algorithm has the characters such as high precision and low computation. The precision of this algorithm is high enough to the Microcomputer Protection System, in which there is not more than the error 1.5 × 10-8.
Keywords: Square root, Taylor Expansion, partition computation, approximation of function
