Nuclear Techniques ›› 2014, Vol. 37 ›› Issue (01): 10604-010604.doi: 10.11889/j.0253-3219.2014.hjs.37.010604


Study and program implementation of transient curves’ piecewise linearization

SHI Yang ZU Hongbiao   

  1. (Shanghai Nuclear Engineering Research & Design Institute, Shanghai 200233, China)
  • Received:2013-11-13 Revised:2013-12-10 Online:2014-01-10 Published:2014-01-20


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.

Key words: Transient curves, Piecewise linearization, Least square method, Program