Study and program implementation of transient curves’ piecewise linearization

SHI Yang; ZU Hongbiao

doi:10.11889/j.0253-3219.2014.hjs.37.010604

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Study and program implementation of transient curves’ piecewise linearization

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- Study and program implementation of transient curves’ piecewise linearization
- NUCLEAR TECHNIQUES Vol. 37, Issue 1, Article number: 010604(2014)
- 作者机构：
  
  上海核工程研究设计院,上海,200233
- 作者简介：
- 基金信息：
- DOI：10.11889/j.0253-3219.2014.hjs.37.010604
  CLC：
- Published：20 January 2014
- 稿件说明：
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SHI Yang, ZU Hongbiao. Study and program implementation of transient curves’ piecewise linearization[J]. Nuclear techniques, 2014, 37(1): 010604
DOI：

SHI Yang, ZU Hongbiao. Study and program implementation of transient curves’ piecewise linearization[J]. Nuclear techniques, 2014, 37(1): 010604 DOI： 10.11889/j.0253-3219.2014.hjs.37.010604.

摘要

核电厂的瞬态数据是相关设备应力分析和评定的必要输入。然而，电厂实际运行记录数据或设计瞬态计算数据通常由时间间隔很短的大量数据点构成，直接作为应力分析的输入将会导致大量不必要的计算。为了简化分析，一般需要将瞬态数据曲线进行分段线性化处理。本文基于最小二乘法，开发了一种瞬态曲线分段线性化的方法，并且通过编写PLTC (Piecewise Linearization for Transient Curves)程序予以实现。分别采用标准正弦函数曲线和核电厂典型瞬态曲线对本文的方法进行了验证，结果表明，本文的方法和程序能够很好地实现瞬态曲线的分段线性化。本文的研究有助于提高核电厂瞬态曲线分段线性化的效率和精度。

Abstract

Background: Transient curves are essential for the stress analysis of related equipments in nuclear power plant (NPP). The actually operating data or the design transient data of a NPP usually consist of a large number of data points with very short time intervals. To simplify the analysis

transient curves are generally piecewise linearized in advance. Up to now

the piecewise linearization of transient curves is accomplished manually. Purpose: The aim is to develop a method for the piecewise linearization of transient curves

and to implement it by programming. Methods: First of all

the fitting line of a number of data points was obtained by the least square method. The segment of the fitting line is set while the accumulation error of linearization exceeds the preset limit with the increasing number of points. Then

the linearization of subsequent data points was begun from the last point of the preceding curve segment to get the next segment in the same way

and continue until the final data point involved. Finally

averageing of junction points is taken for the segment connection. Results: A computer program named PLTC (Piecewise Linearization for Transient Curves) was implemented and verified by the linearization of the standard sine curve and typical transient curves of a NPP. Conclusion: The method and the PLTC program can be well used to the piecewise linearization of transient curves

with improving efficiency and precision.Cited

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