Open AccessHybrid method for numerical oscillation suppression based on rational‐fraction approximations to exponential functions
Author(s) -
Shu Dewu,
Xie Xiaorong,
Zhang Shuqing,
Jiang Qirong
Publication year - 2016
Publication title -
iet generation, transmission and distribution
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.92
H-Index - 110
eISSN - 1751-8695
pISSN - 1751-8687
DOI - 10.1049/iet-gtd.2016.0489
Subject(s) - oscillation (cell signaling) , exponential function , numerical analysis , transient (computer programming) , control theory (sociology) , fraction (chemistry) , flexibility (engineering) , numerical stability , mathematics , stability (learning theory) , rational function , mathematical optimization , computer science , algorithm , mathematical analysis , chemistry , genetics , statistics , control (management) , organic chemistry , artificial intelligence , machine learning , biology , operating system
Numerical oscillation is a fatal problem caused by the trapezoidal (TR) algorithm in nodal analysis‐based electromagnetic transient (EMT) programmes. Traditional techniques of suppressing numerical oscillation involve switching among different algorithms or adding damping elements, which would undermine the flexibility and accuracy of the overall algorithm. In this study, a new algorithm based on rational‐fraction approximations to exponential functions is proposed to address the issue. Furthermore, it is combined with TR algorithm to form a hybrid method (HM) for EMT simulation. Analytical as well as numerical analyses have been conducted to compare the HM with other popular methods in terms of stability, accuracy and efficiency. The results from either theoretical analysis or case studies on an RLC circuit and a practical power system have concluded that the proposed HM gains advantages over classical methods in suppressing numerical oscillation without sacrificing accuracy and efficiency.