Detailed reasoning and derivation of a convexificated quadratic approximation approach for the Security Constrained Optimal Power Flow

Leveringhaus, Thomas; Hofmann, Lutz

doi:10.1109/sges51519.2020.00053

Cited by 2 publications

(3 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Therefore, this paper presents the comparison of two, independently developed optimization methods (see section 3) for the solution of the SCOPF problem described in section 2. The first approach is a solution by a sequentially solved convexificated Quadratically Constrained Quadratic Program (SQCQP) based on [5][6][7][8], which is presented in section 3.1. The second approach solves a mixed integer, non-linear optimization problem using a modified particle swarm optimization (PSO) e.g.…”

Section: Motivationmentioning

confidence: 99%

“…The first approach applies a sequentially solved novel convexificated Quadratically Constrained Quadratic Program (SQCQP) based on [5][6][7][8] that is further developed in this paper to consider in-phase and quadrature voltage controlled transformers. For the convexification, the equations of the SCOPF need to be reformulated as real-valued system of equations with equal number of equations and variables and a maximal polynomial degree of two.…”

Section: Sqcqp Approachmentioning

confidence: 99%

“…With this system of equations, that only has realvalued polynomial functions of degree two and whose number of equations equals the number of variables, the SQCQP approach from [8] can be applied. As reasoned and undertaken in [8], a distributed slack needs to be inserted additionally before inverting and convexifying. The resulting convexificated quadratically constrained quadratic program is shown in Eq.…”

Section: Sqcqp Approachmentioning

confidence: 99%

See 2 more Smart Citations

Comparison of Convexificated SQCQP and PSO for the Optimal Transmission System Operation based on Incremental In-Phase and Quadrature Voltage Controlled Transformers

Sarstedt,

Leveringhaus,

Kluß

et al. 2021

Preprint

Self Cite

View full text Add to dashboard Cite

The optimal operation of electrical energy systems by solving a security constrained optimal power flow (SCOPF) problem is still a challenging research aspect. Especially, for conventional optimization methods like sequential quadratic constrained quadratic programming (SQCQP) the formulation of the incremental control variables like in-phase and quadrature voltage controlled transformers in a solver suitable way is complex. Compared to this, the implementation of these control variables within heuristic approaches like the particle swarm optimization (PSO) is simple but problem specific adaptations of the classic PSO algorithm are necessary to avoid an unfortunate swarm behavior and local convergence in bad results. The objective of this paper is to introduce a SQCQP and a modified PSO approach in detail to solve the SCOPF problem adequately under consideration of flexible incremental in-phase and quadrature transformers tap sets and to compare and benchmark the results of both approaches for an adapted IEEE 118-bus system. The casestudy shows that both approaches lead to suitable results of the SCOPF with individual advantages of the SQCQP concerning the quality and the reproducibility of the results while the PSO lead to faster solutions when the complexity of the investigation scenario increases.

show abstract

Section: Motivationmentioning

confidence: 99%