Combined and optimized redispatch management of multiple congestions and voltage deviations with active and reactive power based on AC-PTDFs with distributed slack

Leveringhaus, Thomas; Hofmann, Lutz

doi:10.1109/pesgm.2015.7286314

Cited by 11 publications

(4 citation statements)

References 9 publications

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“…This approach achieves a fast solution by solving a linearized model of the power system under consideration of linear constraints. By approximating non-linear equations with a linear approach, inaccuracies result, which need to be taken into account, especially for a small apparent power flow within the system [38]. Considering these inaccuracies of linear constrained approaches the optimization problem is formulated as quadratically constrained linear program (see [38,39]).…”

Section: Formulation Of For Determination As Sequential Linear Constrained Quadratic Programmingmentioning

confidence: 99%

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Survey and Comparison of Optimization-Based Aggregation Methods for the Determination of the Flexibility Potentials at Vertical System Interconnections

et al. 2021

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The aggregation of operational active and reactive power flexibilities as the feasible operation region (FOR) is a main component of a hierarchical multi-voltage-level grid control as well as the cooperation of transmission and distribution system operators at vertical system interconnections. This article presents a new optimization-based aggregation approach, based on a modified particle swarm optimization (PSO) and compares it to non-linear and linear programming. The approach is to combine the advantages of stochastic and optimization-based methods to achieve an appropriate aggregation of flexibilities while obtaining additional meta information during the iterative solution process. The general principles for sampling an FOR are introduced in a survey of aggregation methods from the literature and the adaptation of the classic optimal power flow problem. The investigations are based on simulations of the Cigré medium voltage test system and are divided into three parts. The improvement of the classic PSO algorithm regarding the determination of the FOR are presented. The most suitable of four sampling strategies from the literature is identified and selected for the comparison of the optimization methods. The analysis of the results reveals a better performance of the modified PSO in sampling the FOR compared to the other optimization methods.

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Section: Formulation Of For Determination As Sequential Linear Constrained Quadratic Programmingmentioning

confidence: 99%

“…Additional equality constraints are included for a set-point-based sampling strategy. Therefore, Equation (37) or Equation (38) are added for sampling methods c and d and neglected for an angle-based sampling, method a and b (see Sections 3.1 and 3.2). The index 0 represents initial values.…”

Section: Linear Objective Function With Quadratic Constraintsmentioning

confidence: 99%

Survey and Comparison of Optimization-Based Aggregation Methods for the Determination of the Flexibility Potentials at Vertical System Interconnections

et al. 2021

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“…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%

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

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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.

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Linear Optimization Based Distribution Grid Flexibility Aggregation Augmented With OLTC Operational Flexibilities

et al. 2022

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The research project "SiNED -System Services for secure electricity grids in times of advancing energy transition and digital transformation" acknowledges the support of the Lower Saxony Ministry of Science and Culture through the "Niedersächsisches Vorab" grant program (grant ZN3563) and of the Energy Research Centre of Lower Saxony."ABSTRACT Ancillary services e.g., voltage control, congestion management and frequency control, require to be compensated increasingly from the Distributed Energy Resources (DERs). DERs are predominantly wind and photo-voltaic power plants, the major share of which are installed at the distribution grid level. Therefore, the previously passive distribution grids require transformation towards a more active role. Provision of ancillary services from the distribution grid level, requires assessment of active and reactive power flexibility (PQ-flexibility) potentials. Furthermore, increased renewable penetration correlates to increased responsibility of the Distribution System Operators (DSOs) for assessing the flexibility potentials. An aggregation of distribution grid potentials, subject to technical grid constraints and technological power limitations, is termed as Feasible Operating Region (FOR) of the distribution grid. The FOR effectively serves as an interface between the DSOs and the Transmission System Operators (TSO), for flexibility exchanges and planning of ancillary services provision. The determination of the FOR is established in current research, using different algorithms e.g stochastic methods, meta-heuristic programming and mathematical optimization techniques. In this paper, an FOR determination algorithm using successive linear programming (sLP) is proposed and validated against established optimization approaches on a uniform medium voltage (MV) grid model. Comparisons reveal competitiveness with established methods and an added advantage of fast calculation times, suitable for real time assessments. Further enhancement of the FOR is proposed, by integrating discrete transformer tap-changing operational flexibilities using a successive mixed integer linear programming (sMILP). Results demonstrate an increase in the flexibility potential from the distribution grid.

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Combined and optimized redispatch management of multiple congestions and voltage deviations with active and reactive power based on AC-PTDFs with distributed slack

Cited by 11 publications

References 9 publications

Survey and Comparison of Optimization-Based Aggregation Methods for the Determination of the Flexibility Potentials at Vertical System Interconnections

Survey and Comparison of Optimization-Based Aggregation Methods for the Determination of the Flexibility Potentials at Vertical System Interconnections

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

Linear Optimization Based Distribution Grid Flexibility Aggregation Augmented With OLTC Operational Flexibilities

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