A Holomorphic embedding approach for finding the Type-1 power-flow solutions. (November 2018)

• Record Type: Journal Article
• Authors: Feng, Yang; Tylavsky, Daniel
• Is Part Of: International journal of electrical power & energy systems. Volume 102(2018)
• Page Start: 179
• Page End: 188
• Publication Date: 2018-11
• Subjects: Holomorphic embedding method -- Homotopy -- Power flow -- Energy function -- Type-1 power-flow solution -- Type-1 UEP -- Closest UEP; Electrical engineering -- Periodicals; Electric power systems -- Periodicals; Électrotechnique -- Périodiques; Réseaux électriques (Énergie) -- Périodiques; Electric power systems; Electrical engineering; Periodicals; 621.3
• DOI: 10.1016/j.ijepes.2018.04.029
• Languages: English
• ISSNs: 0142-0615

Abstract

Highlights: This paper presented a holomorphic embedding method (HEM)-based algorithm for finding Type-1 power-flow solutions in a general power-flow problem, by using a modified embedded system and a numerical mapping from a set of integer-based boundary conditions to a floating-point-number-based reference state. With the same complexity of traditional HEM algorithm, the proposed algorithm has yielded its advantages in scalability and robustness. Numerical results for three-/five-/seven-/14- and 118-bus systems are presented to demonstrate the numerical performance of the proposed algorithm. Abstract: A holomorphic embedding method (HEM)-based algorithm for finding Type-1 power-flow solutions is introduced whose complexity is the same as that of the HEM power-flow algorithm for calculating the high voltage (operable) power-flow solution. The algorithm is tailored to finding Type-1 solutions by using a modified embedded system and a numerical mapping from a set of integer-based boundary conditions to a floating-point-number-based reference state. The modified system can also be viewed as a homotopy whose initial point (no-load reference state) is consistent with the Type-1 solution homotopy path of the modified system, with an embedding parameter that functions simultaneously as the homotopy parameter. By using analytic continuation, starting from the initial point/reference state, the solution obtained for the modified system matches the one obtained from the original system model at the load of interest. Numerical results for three-/five-/seven-/14- and 118-bus systems are presented to demonstrate the numerical robustness.