TY - GEN
T1 - Robust Padé Approximation Applied to the Holomorphic Embedded Power Flow Algorithm
AU - Li, Songyan
AU - Li, Qirui
AU - Tylavsky, Daniel
AU - Shi, Di
N1 - Funding Information:
The authors gratefully acknowledge the support for this work provided through the Power System Engineering Research Center (PSERC) by SGCC Science and Technology Program under contract no. 5455HJ160007.
PY - 2019/1/2
Y1 - 2019/1/2
N2 - The holomorphic embedding method (HEM) applied to the power flow problem has more robust performance than the Newton-Raphson method. But as the saddle-node bifurcation point (SNBP) is approached, more terms must be included in the Maclaurin series representation of the voltage to achieve a converged solution, leading to matrices that are ill-conditioned. This ill-conditioning may prevent HEM from converging or may interfere with the ability to predict the SNBP using the so-called roots method. In this paper, we look at the effect of the robust Padé approximation (RPA) method on both of these issues.
AB - The holomorphic embedding method (HEM) applied to the power flow problem has more robust performance than the Newton-Raphson method. But as the saddle-node bifurcation point (SNBP) is approached, more terms must be included in the Maclaurin series representation of the voltage to achieve a converged solution, leading to matrices that are ill-conditioned. This ill-conditioning may prevent HEM from converging or may interfere with the ability to predict the SNBP using the so-called roots method. In this paper, we look at the effect of the robust Padé approximation (RPA) method on both of these issues.
KW - Holomorphic Embedding Method
KW - Padé Approximant via SVD
KW - Power Flow
KW - Singular-value decomposition
UR - http://www.scopus.com/inward/record.url?scp=85061806470&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85061806470&partnerID=8YFLogxK
U2 - 10.1109/NAPS.2018.8600538
DO - 10.1109/NAPS.2018.8600538
M3 - Conference contribution
AN - SCOPUS:85061806470
T3 - 2018 North American Power Symposium, NAPS 2018
BT - 2018 North American Power Symposium, NAPS 2018
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 2018 North American Power Symposium, NAPS 2018
Y2 - 9 September 2018 through 11 September 2018
ER -