Application of Ralston's method incorporating cubic-spline interpolation technique in available transfer capability assessment

S. Busan, M. M. Othman, I. Musirin, A. Mohammed, Aini Hussain

Research output: Contribution to journalArticle

Abstract

This paper presents a fast and accurate method to determine the power transfer so-called the available transfer capability (ATC). The methodology utilizes the cubic-spline interpolation technique that is incorporated into the Ralston's method in order to provide fast and accurate assessment of ATC. The Ralston's method is used to predict the two trajectory points of voltage magnitude (V), power flow (S) and maximum generator rotor angle difference (Δδ). Then, the cubic-spline interpolation technique is used to accurately trace the P-V, P-S or P-Δδ curves between two points of trajectory. The P-V, P-S and P-Δδ curves represent as the variations of voltage magnitude, power flow and maximum generator rotor angle difference due to the increase of power transfer or ATC. The actual value of ATC is then determined when either the voltage magnitude limit, power flow limit or generator rotor angle difference limit intersects the curve. The effectiveness of the proposed method is verified by referring to the results of ATC for a case study of 2737-Polish system and 39-New England bus system. The proposed method gives a satisfactorily accurate and fast computation of ATC as compared to recursive AC power flow method.

Original languageEnglish
Pages (from-to)4568-4590
Number of pages23
JournalAustralian Journal of Basic and Applied Sciences
Volume3
Issue number4
Publication statusPublished - Oct 2009

Fingerprint

Splines
Interpolation
Rotors
Electric potential
Trajectories

Keywords

  • Available transfer capability
  • Cubic-spline interpolation technique
  • Ralston's method
  • Recursive AC power flow

ASJC Scopus subject areas

  • General

Cite this

Application of Ralston's method incorporating cubic-spline interpolation technique in available transfer capability assessment. / Busan, S.; Othman, M. M.; Musirin, I.; Mohammed, A.; Hussain, Aini.

In: Australian Journal of Basic and Applied Sciences, Vol. 3, No. 4, 10.2009, p. 4568-4590.

Research output: Contribution to journalArticle

@article{852fa979723a462db573d1bea6313944,
title = "Application of Ralston's method incorporating cubic-spline interpolation technique in available transfer capability assessment",
abstract = "This paper presents a fast and accurate method to determine the power transfer so-called the available transfer capability (ATC). The methodology utilizes the cubic-spline interpolation technique that is incorporated into the Ralston's method in order to provide fast and accurate assessment of ATC. The Ralston's method is used to predict the two trajectory points of voltage magnitude (V), power flow (S) and maximum generator rotor angle difference (Δδ). Then, the cubic-spline interpolation technique is used to accurately trace the P-V, P-S or P-Δδ curves between two points of trajectory. The P-V, P-S and P-Δδ curves represent as the variations of voltage magnitude, power flow and maximum generator rotor angle difference due to the increase of power transfer or ATC. The actual value of ATC is then determined when either the voltage magnitude limit, power flow limit or generator rotor angle difference limit intersects the curve. The effectiveness of the proposed method is verified by referring to the results of ATC for a case study of 2737-Polish system and 39-New England bus system. The proposed method gives a satisfactorily accurate and fast computation of ATC as compared to recursive AC power flow method.",
keywords = "Available transfer capability, Cubic-spline interpolation technique, Ralston's method, Recursive AC power flow",
author = "S. Busan and Othman, {M. M.} and I. Musirin and A. Mohammed and Aini Hussain",
year = "2009",
month = "10",
language = "English",
volume = "3",
pages = "4568--4590",
journal = "Australian Journal of Basic and Applied Sciences",
issn = "1991-8178",
publisher = "INSInet Publications",
number = "4",

}

TY - JOUR

T1 - Application of Ralston's method incorporating cubic-spline interpolation technique in available transfer capability assessment

AU - Busan, S.

AU - Othman, M. M.

AU - Musirin, I.

AU - Mohammed, A.

AU - Hussain, Aini

PY - 2009/10

Y1 - 2009/10

N2 - This paper presents a fast and accurate method to determine the power transfer so-called the available transfer capability (ATC). The methodology utilizes the cubic-spline interpolation technique that is incorporated into the Ralston's method in order to provide fast and accurate assessment of ATC. The Ralston's method is used to predict the two trajectory points of voltage magnitude (V), power flow (S) and maximum generator rotor angle difference (Δδ). Then, the cubic-spline interpolation technique is used to accurately trace the P-V, P-S or P-Δδ curves between two points of trajectory. The P-V, P-S and P-Δδ curves represent as the variations of voltage magnitude, power flow and maximum generator rotor angle difference due to the increase of power transfer or ATC. The actual value of ATC is then determined when either the voltage magnitude limit, power flow limit or generator rotor angle difference limit intersects the curve. The effectiveness of the proposed method is verified by referring to the results of ATC for a case study of 2737-Polish system and 39-New England bus system. The proposed method gives a satisfactorily accurate and fast computation of ATC as compared to recursive AC power flow method.

AB - This paper presents a fast and accurate method to determine the power transfer so-called the available transfer capability (ATC). The methodology utilizes the cubic-spline interpolation technique that is incorporated into the Ralston's method in order to provide fast and accurate assessment of ATC. The Ralston's method is used to predict the two trajectory points of voltage magnitude (V), power flow (S) and maximum generator rotor angle difference (Δδ). Then, the cubic-spline interpolation technique is used to accurately trace the P-V, P-S or P-Δδ curves between two points of trajectory. The P-V, P-S and P-Δδ curves represent as the variations of voltage magnitude, power flow and maximum generator rotor angle difference due to the increase of power transfer or ATC. The actual value of ATC is then determined when either the voltage magnitude limit, power flow limit or generator rotor angle difference limit intersects the curve. The effectiveness of the proposed method is verified by referring to the results of ATC for a case study of 2737-Polish system and 39-New England bus system. The proposed method gives a satisfactorily accurate and fast computation of ATC as compared to recursive AC power flow method.

KW - Available transfer capability

KW - Cubic-spline interpolation technique

KW - Ralston's method

KW - Recursive AC power flow

UR - http://www.scopus.com/inward/record.url?scp=77953511004&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=77953511004&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:77953511004

VL - 3

SP - 4568

EP - 4590

JO - Australian Journal of Basic and Applied Sciences

JF - Australian Journal of Basic and Applied Sciences

SN - 1991-8178

IS - 4

ER -