Marching‐on‐in‐time solution of delayed PEEC models of conductive and dielectric objects

Gianfagna, Carmine; Lombardi, Luigi; Antonini, Giulio

doi:10.1049/iet-map.2018.5233

Cited by 18 publications

(13 citation statements)

References 24 publications

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“…However, for its generality and for the simplicity of including lumped circuit elements in the full-Maxwell EM problem, the Partial Element Equivalent Circuit (PEEC) scheme has been chosen for the implementation of the method [43], [44]. In this paper, transient analyses are carried out, and therefore a time-domain version of the PEEC method based on the Marching On-In-Time (MOT) scheme is adopted [45], [46]. The choice of using a time-domain method with respect to a frequency-domain approach is justified by the following reasons: i) when a transient analysis is addressed by applying the Fast Fourier Transform (FFT) and the Inverse-FFT (IFFT), one should consider that the time-window chosen for the IFFT must be long enough to allow all transients to be extinguished.…”

Section: B Numerical Methodsmentioning

confidence: 99%

Do Wind Turbines Amplify the Effects of Lightning Strikes? A Full-Maxwell Modelling Approach

Torchio

Nicora

Mestriner

et al. 2022

IEEE Trans. Power Delivery

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Wind turbines (WTs) can be seriously damaged by lightning strikes and they can be struck by a significant number of flashes. This should be taken into account when the WT lightning protection system is designed. Moreover, WTs represent a path for the lightning current that can modify the well-known effects of the lightning discharge in terms of radiated electromagnetic fields, which are a source of damage and interference for nearby structures and systems. In this paper, a WT struck by a lightning discharge is analyzed with a full-wave modelling approach, taking into account the details of the WT and its interactions with the lightning channel. The effects of first and subsequent return strokes are analyzed as well as that of the rotation angle of the struck blade. Results show that the lightning current along the WT is mainly affected by the ground reflection and by the reflection between the struck blade and the channel. The computed electromagnetic fields show that, for subsequent return strokes, the presence of a WT almost doubles their magnitude with respect to a lightning striking the ground. Such enhancement is emphasized when the inclined struck blade is considered.

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Section: B Numerical Methodsmentioning

confidence: 99%

Do Wind Turbines Amplify the Effects of Lightning Strikes? A Full-Maxwell Modelling Approach

Torchio

Nicora

Mestriner

et al. 2022

IEEE Trans. Power Delivery

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“…We consider three time-delay systems obtained from partial element equivalent circuit (PEEC) modelling and simulation, which transfer problems from the electromagnetic domain to the circuit domain [29,32,30,31]. When the propagation delays are explicitly kept for both partial inductances and coefficients of potential, time-delay systems can be derived [17]. Numerical tests are done with MATLAB R2016b on a computer server with 4 Intel Xeon E7-8837 CPUs running at 2.67 GHz, 1TB main memory, split into four 256 GB partitions.…”

Section: Numerical Testsmentioning

confidence: 99%

Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems

Li¹,

Lombardi²,

Antonini³

et al. 2023

Preprint

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Model order reduction usually consists of two stages: the offline stage and the online stage. The offline stage is the expensive part that sometimes takes hours till the final reduced-order model is derived, especially when the original model is very large or complex. Once the reduced-order model is obtained, the online stage of querying the reduced-order model for simulation is very fast and often real-time capable. This work concerns a strategy to significantly speed up the offline stage of model order reduction for large and complex systems. In particular, it is successful in accelerating the greedy algorithm that is often used in the offline stage for reduced-order model construction. We propose multi-fidelity error estimators and replace the high-fidelity error estimator in the greedy algorithm. Consequently, the computational complexity at each iteration of the greedy algorithm is reduced and the algorithm converges more than 3 times faster without incurring noticeable accuracy loss.

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“…In the context of the proposed MOT-PEEC method, in accordance with the analysis presented in [18], hat shape functions have been chosen since they provide a good trade-off between stability, accuracy, and numerical performances. However, the discretization process proposed herein can be easily modified by considering different temporal shape functions and/or predictor-corrector schemes [30].…”

Section: Spatial and Time Discretizationmentioning

confidence: 99%

“…The possibility of combining the MOT procedure with the structured version of PEEC has been shortly discussed in [16,17], whereas, in the literature, time domain PEEC methods under the assumption of electrically small structures have been mostly proposed (i.e., without time delay effects). Recently, a MOT-PEEC method based on the structured PEEC approach has been presented in [18] for the study of conductive and dielectric media only (i.e., non-magnetic media). Another PEEC based ad hoc approach for the study of a wire structure excited by a distant lightning channel has been proposed in [19].…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, differently from existing MOT-PEEC approaches, the formulation proposed herein is based on the unstructured version of PEEC [10], and the MOT procedure is differently applied to the PEEC formulation with respect to [16]. As a further innovative feature, unlike [18], magnetic media are also treated by the proposed MOT-PEEC method by following the recently proposed harmonic PEEC formulation based on the Coulombian interpretation of magnetization phenomena [21]. This also allows for a reduction in the number of unknowns.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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Marching‐on‐in‐time solution of delayed PEEC models of conductive and dielectric objects

Cited by 18 publications

References 24 publications

Do Wind Turbines Amplify the Effects of Lightning Strikes? A Full-Maxwell Modelling Approach

Do Wind Turbines Amplify the Effects of Lightning Strikes? A Full-Maxwell Modelling Approach

Multi-fidelity error estimation accelerates greedy model reduction of complex dynamical systems

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

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