Inclusion of frequency‐dependent parameters in power transmission lines simulation using harmonic analysis and proper generalized decomposition

Malik, Muhammad Haris; Borzacchiello, Domenico; Chinesta, Francisco; Dı́ez, Pedro

doi:10.1002/jnm.2331

Cited by 6 publications

(3 citation statements)

References 26 publications

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“…In the PGD technique, the unknown answer is decomposed into one-dimensional (1D) functions [37,42], which makes the computation more efficient while maintaining accuracy. There are some recent applications of PGD pertinent to electrical systems, such as high dimensional parametric solutions for synchronous machines [43], impedance calculation of rectangular conductors [44,45], solving magnetostatic problems [46], magnetic simulation of soft magnetic composite (SMC) microstructures [47], and time-domain modeling of frequency-dependent transmission lines [48]. In [46], PGD has been used to effectively overcome the computational challenges posed by a coupled nonlinear magnetostatic problem and circuit equations.…”

Section: Introductionmentioning

confidence: 99%

Skin and Proximity Effect Calculation of a System of Rectangular Conductors Using the Proper Generalized Decomposition Technique

Tabei,

Gole,

Kordi

2024

Energies

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This paper presents the application of a numerical approach known as proper generalized decomposition (PGD) to calculate the per-unit length (PUL) ac resistance of rectangular conductors. PGD has been successfully used in areas such as fluid mechanics and biomedical applications. It solves a partial differential equation (PDE) by decomposing the answer into a set of unknown one-dimensional (1D) functions in an iterative approach until it reaches a predetermined convergence. In this paper, a frequency-dependent meshing scheme is employed in the PGD technique at each frequency to properly take skin and proximity effects into account. One of the main advantages of PGD over traditional numerical approaches such as finite element or finite difference methods is that it confines the answers within a set of one-dimensional functions, which require fewer computational resources. Different examples of single and multiple rectangular conductors are considered to study skin and proximity effects. The PGD results are compared with those obtained using a commercial finite element method (FEM) software to verify the accuracy of the model. This approach can be used in applications such as white box modeling of transformers, EMC analysis, hairpin winding design used in electric vehicles, and busbar simulation.

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Section: Introductionmentioning

confidence: 99%

Skin and Proximity Effect Calculation of a System of Rectangular Conductors Using the Proper Generalized Decomposition Technique

Tabei,

Gole,

Kordi

2024

Energies

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“…Ahmed et al [28], Fahmani et al [29] and Malik. [30] have demonstrated the use of appropriate generalised decomposition on transmission line models with frequency-dependent parameters such as ground return effects, proximity effects and skin effects. de Andrade et al [31] proposed a time domain transmission line model based on apportioned parameters for transient analysis and differential equations for the basic transmission line.…”

Section: Introductionmentioning

confidence: 99%

Modeling and Simulation of Coupled Power Transmission Line: A Systematic Approach

Living

Nnamchi

Mundu

et al. 2023

Preprint

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Transmission models are dominated by lumped models, which describe the time dependence of transmission potentials (temperature, current and voltage). The space counterpart is not incorporated into the lumped model. To fill this gap, the present work proposes a distributed or coupled system of thermal and power equations, which depend on both space and time. The coupled system of equations were developed on the balance of thermal and power fluxes around a control volume representing the transmission lines. The Finite Difference Method is pivoted on the Crank Nicolson technique is used to solve the coupled system of equations. Transmission percentage losses ranged from 0.03 to 0.06%, which is consistent with the 5% recommended by the American Transmission Company. In addition, the simulated model results corresponded to field data obtained from the Uganda Electricity Transmission Company Limited (UETCL) on the Bujjagali - Kawanda transmission line. The coupled model system is useful for the simulation and estimation of the power losses in transmission lines respectively and could be implemented in other transmission lines.

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“…A posteriori model order reduction method includes proper orthogonal decomposition (POD) [3,4], trajectory piecewise linear method (TPWL) [5,6], reduced basis (RB) method [7,8,9] including also tools like empirical interpolation method (EIM) [10] to name a few. A priori model order reduction methods include methods such as proper generalized decomposition (PGD) [11,12] and a priori reduction method (APR) [13,14].…”

Section: Introductionmentioning

confidence: 99%

Advances in Reduced Order Methods for Parametric Industrial Problems in Computational Fluid Dynamics

Rozza¹,

Malik²,

Demo³

et al. 2018

Preprint

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Reduced order modeling has gained considerable attention in recent decades owing to the advantages offered in reduced computational times and multiple solutions for parametric problems. The focus of this manuscript is the application of model order reduction techniques in various engineering and scientific applications including but not limited to mechanical, naval and aeronautical engineering. The focus here is kept limited to computational fluid mechanics and related applications. The advances in the reduced order modeling with proper orthogonal decomposition and reduced basis method are presented as well as a brief discussion of dynamic mode decomposition and also some present advances in the parameter space reduction. Here, an overview of the challenges faced and possible solutions are presented with examples from various problems.

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Inclusion of frequency‐dependent parameters in power transmission lines simulation using harmonic analysis and proper generalized decomposition

Cited by 6 publications

References 26 publications

Skin and Proximity Effect Calculation of a System of Rectangular Conductors Using the Proper Generalized Decomposition Technique

Skin and Proximity Effect Calculation of a System of Rectangular Conductors Using the Proper Generalized Decomposition Technique

Modeling and Simulation of Coupled Power Transmission Line: A Systematic Approach

Advances in Reduced Order Methods for Parametric Industrial Problems in Computational Fluid Dynamics

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