A Surface PEEC Formulation for High-Fidelity Analysis of the Current Return Networks in Composite Aircrafts

Bandinelli, M.; Mori, A.; Galgani, G.; Romano, Daniele; Antonini, Giulio; Dieudonne, Anca-Lucia Goleanu; Dunand, Michel

doi:10.1109/temc.2015.2422672

Cited by 15 publications

(10 citation statements)

References 27 publications

(30 reference statements)

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“…where m and ς m are the volume and surface magnetic charges, respectively. Like (13) and 14, m and ς m are related to J m by means of charge conservation relations:…”

Section: Mot-peec Formulationmentioning

confidence: 99%

“…Integral equation (IE) methods are particularly suited for the study of electromagnetic (EM) devices in unbounded domains since they do not require the introduction of artificial absorbing boundary conditions for truncating the computational domain and they avoid the discretization of regions with the characteristic of vacuum [1][2][3]. In particular, the Partial Element Equivalent Circuit (PEEC) method, introduced by Ruehli in 1972 [4], has been shown to be well suited for the analysis of several classes of EM devices, such as interconnecting [5,6] antennas [7][8][9], and other complex electric and electronic devices [10][11][12][13]. IE methods such as the PEEC approach are widely used for time-harmonic EM problems and they are also particularly suited for transient analysis, usually performed by means of traditional time-stepping algorithms, e.g., forward and backward Euler, Crank-Nicolson, and Runge-Kutta methods.…”

Section: Introductionmentioning

confidence: 99%

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Marching On-In-Time Unstructured PEEC Method for Electrically Large Structures with Conductive, Dielectric, and Magnetic Media

et al. 2020

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The Marching On-In-Time (MOT) unstructured Partial Element Equivalent Circuit (PEEC) method for time domain electromagnetic problems is presented. The method allows the transient analysis of electrically large electromagnetic devices consisting of conductive, dielectric, and magnetic media coupled with external lumped circuits. By re-formulating PEEC following the Coulombian interpretation of magnetization phenomena and by using electric and magnetic vector potentials, the proposed approach allows for a completely equivalent treatment of electric and magnetic media and inhomogeneous and anisotropic materials are accounted for as well. With respect to the recently proposed Marching On-In-Time PEEC approach, based on the standard (structured) discretization of PEEC, the method presented in this paper uses a different space and time MOT discretization, which allows for a reduction in the number of the unknowns. Analytical and industrial test cases consisting in electrically large devices are considered (e.g., the model of a Neutral Beam Injector adopted in thermonuclear fusion applications). Results obtained from the simulations show that the proposed method is accurate and yields good performances. Moreover, when rich harmonic content transient phenomena are considered, the unstructured MOT–PEEC method allows for a significant reduction of the memory and computation time when compared to techniques based on Inverse Discrete Fourier Transform applied to the frequency domain unstructured PEEC approach.

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“…where m and ς m are the volume and surface magnetic charges, respectively. Like (13) and 14, m and ς m are related to J m by means of charge conservation relations:…”

Section: Mot-peec Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Marching On-In-Time Unstructured PEEC Method for Electrically Large Structures with Conductive, Dielectric, and Magnetic Media

et al. 2020

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“…Finally, (13) corresponds to the incomplete circuit equations (U = ZI): the circuit is not closed (see Fig. 1).…”

Section: B Discretizationmentioning

confidence: 99%

“…The classical PEEC was limited to structured meshes, but this limitation has recently been overcome by a Nonorthogonal PEEC formulation [10] or by using face elements [11], [12] for general meshes. This major improvement enables the treatment of more complex geometries and devices [13]. In practice, the PEEC method is mostly used to model conductors and resistive, inductive and capacitive effects [14]- [16].…”

Section: Introductionmentioning

confidence: 99%

Volume Integral Formulation Using Face Elements for Electromagnetic Problem Considering Conductors and Dielectrics

Siau¹,

Meunier²,

Chadebec³

et al. 2016

IEEE Trans. Electromagn. Compat.

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A new integral formulation is presented, enabling the computation of resistive, inductive, and capacitive effects considering both conductors and dielectrics in the frequency domain. The considered application allows us to neglect any propagation effects and magnetic materials. In this paper, we will show how to improve the unstructured-partial element equivalent circuit approach to consider dielectric materials, keeping the same benefits. Results obtained with this formulation are compared to results from an industrial finite-element method software and measurements.

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“…The second one is represented by the circuit simulation of the resulting equivalent circuit, in both the time and the frequency domains, which is typically computationally expensive for real‐life structures. An example of the use of the PEEC method in the analysis of complex platforms is reported in Bandinelli et al To speedup the equivalent circuit analysis, fast multipole–based techniques as well as the adaptive cross approximation have been used, or effective model‐order reduction techniques can be adopted leading to compact models preserving the accuracy at the ports and the physical properties of the original system.…”

mentioning

confidence: 99%

Acceleration of the partial element equivalent circuit method with uniform tessellation—part I: Identification of geometrical signatures

Romano

Lombardi

Antonini

2017

Int J Numerical Modelling

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Electromagnetic numerical modeling has become crucial for the design deployment and operation of new electrical and electronic devices and systems especially for its capability to address electromagnetic compatibility and interference issues. In this regard, accurate and efficient numerical techniques are required for effective and fast virtual prototyping. This paper presents a novel technique to speedup the computation of partial elements describing the magnetic and electric field couplings in the framework of the partial element equivalent circuit method. When dealing with uniform tessellation of 3D geometries, including Manhattan-type meshes and also nonorthogonal ones characterized by hexahedra with comparable sizes, a huge number of configurations are repeated under only translation and rotation transformations. Through an efficient identification of these geometrical signatures, the calculation of volume and surface integrals required to fill the partial element matrices, namely, partial inductances and coefficients of potential, can be significantly accelerated. To this aim, assuming a uniform tessellation of volumes and surfaces, a complete algorithm is presented to systematically identify all the signatures and manage them, thus allowing a significant speedup of the partial element matrices filling-in process.Being based on a systematic identification of the different patterns, the proposed method does not introduce any approximation. Numerical examples are presented pointing out the correctness and efficiency of the proposed approach. KEYWORDS binary search, frequency-domain analysis, integral equations, memory management, partial element equivalent circuit (PEEC) method, partial elements computation, speedup techniques The analysis of electromagnetic compatibility, signal integrity, and power integrity issues in high-speed systems requires accurate models of interconnects and packaging that can be included in a SPICE-level simulation. Hence, much effort has been devoted in the last 20 years to develop computational models of 3D structures drawn directly from the interconnect or package geometry, and numerical methods have gained popularity for their capability to perform virtual prototyping. Furthermore, the fast and continuous penetration of electronic sensing, communication, and actuation technologies-examples include smart cities and grids, intelligent medical devices and systems, more electrical vehicles Int J Numer Model. 2018;31:e2307.wileyonlinelibrary.com/journal/jnm

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A Surface PEEC Formulation for High-Fidelity Analysis of the Current Return Networks in Composite Aircrafts

Cited by 15 publications

References 27 publications

Marching On-In-Time Unstructured PEEC Method for Electrically Large Structures with Conductive, Dielectric, and Magnetic Media

Marching On-In-Time Unstructured PEEC Method for Electrically Large Structures with Conductive, Dielectric, and Magnetic Media

Volume Integral Formulation Using Face Elements for Electromagnetic Problem Considering Conductors and Dielectrics

Acceleration of the partial element equivalent circuit method with uniform tessellation—part I: Identification of geometrical signatures

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