2018
DOI: 10.1002/tee.22773
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Investigating continuous power flow solutions of IEEE 14‐bus system

Abstract: This letter focuses on the multiplicity of power flow (PF) equations and presents two continuous solutions for the widely studied IEEE 14‐bus system. The continuous solutions are located by a method combining the semidefinite program (SDP) relaxation and the reformulation linearization technique (RLT). Although the observation is nontrivial, it is of interest to researchers investigating the geometry or multiplicity nature of PF equations. © 2018 Institute of Electrical Engineers of Japan. Published by John Wi… Show more

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Cited by 11 publications
(3 citation statements)
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“…The feasibility is verified or judged by again running the NTUPF with updated power demand. However, infeasibility reported by NTUPF does not conclude that the solution reported by LTUPF is infeasible, because checking the feasibility of a combination of load profiles is NP-hard [25,27]. This is beyond the scope of this paper and will not be discussed in detail.…”
Section: The Linear Tupf With Psd (Ltupf) Is In Mipmentioning
confidence: 93%
“…The feasibility is verified or judged by again running the NTUPF with updated power demand. However, infeasibility reported by NTUPF does not conclude that the solution reported by LTUPF is infeasible, because checking the feasibility of a combination of load profiles is NP-hard [25,27]. This is beyond the scope of this paper and will not be discussed in detail.…”
Section: The Linear Tupf With Psd (Ltupf) Is In Mipmentioning
confidence: 93%
“…How many numbers of ideas, game tactics are shared with the team is given by . (37) Ideas and tactics sharing procedure:…”
Section: (29)mentioning
confidence: 99%
“…In recent times, metaheuristic methods inspired by natural phenomena such as animal behavior have been more widely and successfully applied for solving problems such as the optimal reactive power dispatch (ORPD) problem. Many methods have been developed, creating large families of methods, such as variants of genetic algorithms (GA) [15][16][17][18][19], variants of differential evolution (DE) algorithms [20][21][22][23][24], variants of particle swarm optimization (PSO) algorithms [25][26][27][28][29][30][31], variants of gravitational search algorithms (GSA) [32][33][34][35], and many other new standard methods [36][37][38][39][40][41][42][43][44][45][46][47][48].…”
Section: Introductionmentioning
confidence: 99%