Port-Hamiltonian based Optimal Power Flow algorithm for multi-terminal DC networks

Benedito, Ernest; Puerto-Flores, Dunstano del; Dòria‐Cerezo, Arnau; Scherpen, Jacquelien M. A.

doi:10.1016/j.conengprac.2018.10.018

Cited by 11 publications

(9 citation statements)

References 30 publications

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“…The mathematical formulation associated with the DC PF is composed of a set of non-linear and non-convex equations that allow finding all electrical variables (voltage and currents) that represent the behavior of an electrical grid in steady-state conditions [36][37][38]. The equations that compose the DC power-flow formulation are obtained by using Kirchhoff's laws and Tellegen's theorem in electrical networks that satisfy the following conditions [22]: (i) the DC grid contains at least one constant voltage bus (slack bus); (ii) isolated buses do not exist across the grid; (iii) all voltage buses are contained inside the voltage bounds V min ≤ v ≤ V max , being V min > 0; and (iv) external perturbations are not considered inside the DC grid operation and steady-state conditions are applied.…”

Section: Power-flow Mathematical Formulationmentioning

confidence: 99%

A Comparative Study on Power Flow Methods for Direct-Current Networks Considering Processing Time and Numerical Convergence Errors

et al. 2020

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This study analyzes the numerical convergence and processing time required by several classical and new solution methods proposed in the literature to solve the power-flow problem (PF) in direct-current (DC) networks considering radial and mesh topologies. Three classical numerical methods were studied: Gauss–Jacobi, Gauss–Seidel, and Newton–Raphson. In addition, two unconventional methods were selected. They are iterative and allow solving the DC PF in radial and mesh configurations. The first method uses a Taylor series expansion and a set of decoupling equations to linearize around the desired operating point. The second method manipulates the set of non-linear equations of the DC PF to transform it into a conventional fixed-point form. Moreover, this method is used to develop a successive approximation methodology. For the particular case of radial topology, three methods based on triangular matrix formulation, graph theory, and scanning algorithms were analyzed. The main objective of this study was to identify the methods with the best performance in terms of quality of solution (i.e., numerical convergence) and processing time to solve the DC power flow in mesh and radial distribution networks. We aimed at offering to the reader a set of PF methodologies to analyze electrical DC grids. The PF performance of the analyzed solution methods was evaluated through six test feeders; all of them were employed in prior studies for the same application. The simulation results show the adequate performance of the power-flow methods reviewed in this study, and they permit the selection of the best solution method for radial and mesh structures.

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Section: Power-flow Mathematical Formulationmentioning

confidence: 99%

A Comparative Study on Power Flow Methods for Direct-Current Networks Considering Processing Time and Numerical Convergence Errors

et al. 2020

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“…In 2019, Thang Trung Nguyen [4], developed an ISSO to solve the OPF issues by optimizing power loss, fuel price, voltage deviation and contaminated emissions. In 2019, Ernest Benedito et al [5], worked on the port-Hamiltonian formalism for the OPF problem of a DC network. In 2019, Ehsan Naderi et al [6] introduced a PSO technique for the OPF problem which was combined with practical constraints indicated above and FACTS devices.…”

Section: Literature Reviewmentioning

confidence: 99%

Hybrid Salp Swarm and Differential Evolution for Optimal Power Flow

Kumar¹

2020

JCMPS

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Optimal Power Flow (OPF) issue is a non-linear optimization problem that was extensively exploited in power system operations. As a consequence of these characteristics, resolving the OPF issue is a well-liked and demanding task in optimizing power systems. Recently, a lot of developed optimization algorithms are used to pact with the OPF crisis. Nevertheless, the majority of the techniques are unimpeded. In this work, Hybrid Salp Swarm and differential evolution with the self-adaptive penalty (HSSDE-SP) is introduced to attain the optimum solution for the power flow issue. To confirm the efficiency of the developed technique, simulations were carried out on the IEEE 30-bus test system that integrates solar energy and wind energy with thermal generators. The experimentation outcomes show the superiority of the developed technique.

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“…Figure 1: The PFC at an m-terminal node in the grid the power references to be tracked are given by a higher (secondary) level controller such as the ones discussed in (Nasirian et al, 2015;Casavola et al, 2017;Cucuzzella et al, 2019). For these papers and power flow studies such as (Benedito et al, 2019;Jeeninga et al, 2020), the PFC can be seen as a controllable power router, adding a degree of freedom in distributed or centralised control schemes.…”

Section: Introductionmentioning

confidence: 99%