Cable parameter determination focusing on proximity effect inclusion using finite element analysis

Cirino, Andre W.; Paula, Hélder de; Mesquita, Renato C.; Saraiva, E.

doi:10.1109/cobep.2009.5347744

Cited by 6 publications

(7 citation statements)

References 8 publications

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“…This led to a conclusion that delivering power to residential premises in DC form is not recommended. Later studies showed different conclusions; according to the study presented in [70], the relation between AC and DC cable resistances can be given as:…”

Section: Feasibility Of DC Distribution Systemsmentioning

confidence: 99%

DC microgrids and distribution systems: An overview

Elsayed

Mohamed

Mohammed

2015

Electric Power Systems Research

509

211

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Section: Feasibility Of DC Distribution Systemsmentioning

confidence: 99%

DC microgrids and distribution systems: An overview

Elsayed

Mohamed

Mohammed

2015

Electric Power Systems Research

509

211

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“…These currents add to the applied currents. Consequently, the total current densities in conductors become non-uniform and non-symmetrical, and significantly affect the electromagnetic field, power losses in the wires, and the impedance matrix of such a system of conductors [2][3][4][5]. Thus, the knowledge on the current density distribution is essential in determining the network properties of such lines.…”

Section: Introductionmentioning

confidence: 99%

“…Using numerical methods, like finite elements (e.g., [5,18,19]), boundary elements (e.g., [20]), FDTD [21], solving the Fredholm equation with various basis functions (e.g., [22,23]), and others.…”

mentioning

confidence: 99%

Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

et al. 2019

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This paper describes an analytical-numerical method for the skin and proximity effects in a system of two parallel conductors of circular cross section—a system very frequently encountered in various applications. The magnetic field generated by the current applied on each conductor is expressed by means of vector magnetic potential and expanded into Fourier series. Using the Laplace and Helmholtz equations, as well as the classical boundary conditions, the current density induced due to the proximity and skin effect is determined in each conductor. The resulting current density is expressed as a series of successive reactions. The results obtained are compared with those obtained via finite elements. Although the paper is theoretical, the considered problem has a practical significance, because transmission lines with round conductors are universally used. Besides, the results can be used to estimate errors when only the first reaction is taken into account, which gives relatively simple formulas.

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“…where R ij is the resistance of the branch connected between node i and node j and the p ∈ R bxb space. The DC resistance can be calculated from the AC resistance as follows [39]:…”

Section: Graph Theorymentioning

confidence: 99%

Laplacian Matrix-Based Power Flow Formulation for LVDC Grids with Radial and Meshed Configurations

et al. 2021

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There is an increasing interest in low voltage direct current (LVDC) distribution grids due to advancements in power electronics enabling efficient and economical electrical networks in the DC paradigm. Power flow equations in LVDC grids are non-linear and non-convex due to the presence of constant power nodes. Depending on the implementation, power flow equations may lead to more than one solution and unrealistic solutions; therefore, the uniqueness of the solution should not be taken for granted. This paper proposes a new power flow solver based on a graph theory for LVDC grids having radial or meshed configurations. The solver provides a unique solution. Two test feeders composed of 33 nodes and 69 nodes are considered to validate the effectiveness of the proposed method. The proposed method is compared with a fixed-point methodology called direct load flow (DLF) having a mathematical formulation equivalent to a backward forward sweep (BFS) class of solvers in the case of radial distribution networks but that can handle meshed networks more easily thanks to the use of connectivity matrices. In addition, the convergence and uniqueness of the solution is demonstrated using a Banach fixed-point theorem. The performance of the proposed method is tested for different loading conditions. The results show that the proposed method is robust and has fast convergence characteristics even with high loading conditions. All simulations are carried out in MATLAB 2020b software.

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Cable parameter determination focusing on proximity effect inclusion using finite element analysis

Cited by 6 publications

References 8 publications

DC microgrids and distribution systems: An overview

DC microgrids and distribution systems: An overview

Analytical–Numerical Solution for the Skin and Proximity Effects in Two Parallel Round Conductors

Laplacian Matrix-Based Power Flow Formulation for LVDC Grids with Radial and Meshed Configurations

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