Minimize Linearization Error of Power Flow Model Based on Optimal Selection of Variable Space

In this study, a new methodology is proposed to perform optimal selection of conductors in three-phase distribution networks through a discrete version of the metaheuristic method of vortex search. To represent the problem, a single-objective mathematical model with a mixed-integer nonlinear programming (MINLP) structure is used. As an objective function, minimization of the investment costs in conductors together with the technical losses of the network for a study period of one year is considered. Additionally, the model will be implemented in balanced and unbalanced test systems and with variations in the connection of their loads, i.e., Δ− and Y−connections. To evaluate the costs of the energy losses, a classical backward/forward three-phase power-flow method is implemented. Two test systems used in the specialized literature were employed, which comprise 8 and 27 nodes with radial structures in medium voltage levels. All computational implementations were developed in the MATLAB programming environment, and all results were evaluated in DigSILENT software to verify the effectiveness and the proposed three-phase unbalanced power-flow method. Comparative analyses with classical and Chu & Beasley genetic algorithms, tabu search algorithm, and exact MINLP approaches demonstrate the efficiency of the proposed optimization approach regarding the final value of the objective function.

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Decomposition Model Based on Optimal Power Flow in Interconnected Electricity Networks

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.34-35.785 ◽

2010 ◽

Vol 34-35 ◽

pp. 785-789

Author(s):

Qing Ran Wang ◽

Li Zi Zhang

Keyword(s):

Quadratic Programming ◽

Power Flow ◽

Optimal Power Flow ◽

Flow Model ◽

Test System ◽

Regional Network ◽

Electricity Networks ◽

Model Based ◽

Optimal Power ◽

Multi Level

In order to adapt to the current multi-level dispatching management system and to promote the operational efficiency of interconnected electricity networks, this paper proposes a decomposition collaborative model based on optimal power flow theory. The model is a quadratic programming question used to solve optimal power flow model. The information of interchanging between regions is communication price and boundary nodal bus phase angle. IEEE 30-bus test system demonstrates the validity and novelty of the model that the regional network can be calculated reasonably and the development of cross-regional electricity transaction is promoted effectively.

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A relaxed AC optimal power flow model based on a Taylor series

2013 IEEE Innovative Smart Grid Technologies-Asia (ISGT Asia) ◽

10.1109/isgt-asia.2013.6698739 ◽

2013 ◽

Cited By ~ 12

Author(s):

Hui Zhang ◽

Vijay Vittal ◽

Gerald T. Heydt ◽

Jaime Quintero

Keyword(s):

Taylor Series ◽

Power Flow ◽

Optimal Power Flow ◽

Flow Model ◽

Model Based ◽

Optimal Power

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To Prevent or Promote Grid Expansion? Analyzing the Future Role of Power Transmission in the European Energy System

Frontiers in Energy Research ◽

10.3389/fenrg.2020.541495 ◽

2021 ◽

Vol 8 ◽

Cited By ~ 1

Author(s):

Karl-Kiên Cao ◽

Thomas Pregger ◽

Jannik Haas ◽

Hendrik Lens

Keyword(s):

Power Flow ◽

Flow Model ◽

Power Transmission ◽

System Optimization ◽

Energy System ◽

Investment Strategy ◽

Total System ◽

Power Sources ◽

Model Based ◽

Flexibility Options

Future energy supply systems must become more flexible than they are today to accommodate the significant contributions expected from intermittent renewable power sources. Although numerous studies on planning flexibility options have emerged over the last few years, the uncertainties related to model-based studies have left the literature lacking a proper understanding of the investment strategy needed to ensure robust power grid expansion. To address this issue, we focus herein on two important aspects of these uncertainties: the first is the relevance of various social preferences for the use of certain technologies, and the second is how the available approaches affect the flexibility options for power transmission in energy system models. To address these uncertainties, we analyze a host of scenarios. We use an energy system optimization model to plan the transition of Europe’s energy system. In addition to interacting with the heating and transport sectors, the model integrates power flows in three different ways: as a transport model, as a direct current power flow model, and as a linearized alternating current power flow model based on profiles of power transfer distribution factors. The results show that deploying transmission systems contribute significantly to system adequacy. If investments in new power transmission infrastructure are restricted—for example, because of social opposition—additional power generation and storage technologies are an alternative option to reach the necessary level of adequacy at 2% greater system costs. The share of power transmission in total system costs remains widely stable around 1.5%, even if cost assumptions or the approaches for modeling power flows are varied. Thus, the results indicate the importance of promoting investments in infrastructure projects that support pan-European power transmission. However, a wide range of possibilities exists to put this strategy into practice.

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