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Enhanced Delay-Rational Green's Method for Cable Time Domain Analysis
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0003-0015-0431
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0003-4160-214X
Department of Electrical Engineering, University of L’Aquila.
University of L’Aquila.
2015 (English)In: 2015 International Conference on Electromagnetics in Advanced Applications (ICEAA): Turin, 7-11 Sept. 2015, Piscataway, NJ: IEEE Communications Society, 2015, p. 1228-1231Conference paper, Published paper (Refereed)
Abstract [en]

State-space models of multiconductor transmissionlines can be generated by means of the Green’s function basedmethod which allows to write the open-end impedance in arational form as an infinite sum of “modal impedances”. Itcan be then embedded in a circuit simulation environment forefficient time domain analysis. The previous rational approachhas been improved through a proper mathematical formulation,that makes use of explicit delay extraction and pole/residueasymptotic behavior. Nevertheless, the computation of the polesbecomes computationally expensive when the number of conductorsincreases, since the zeros of high order polynomials haveto be evaluated. A rational fitting over the “modal impedances”is proposed, which allows a fast identification of the poles that,together with the delays, model the high frequency behavior ofthe cable in terms of standard hyperbolic functions. The lowfrequencybehavior is captured by a reduced size state-spacemodel, via rational fitting. Numerical results confirm the accuracyof the proposed modeling approach for electrically long cables,with a large number of conductors.

Place, publisher, year, edition, pages
Piscataway, NJ: IEEE Communications Society, 2015. p. 1228-1231
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Industrial Electronics
Identifiers
URN: urn:nbn:se:ltu:diva-34794DOI: 10.1109/ICEAA.2015.7297314Scopus ID: 2-s2.0-84955472717Local ID: 916affa3-6bd1-41a5-83cf-97797b2dc9e5OAI: oai:DiVA.org:ltu-34794DiVA, id: diva2:1008045
Conference
International Conference on Electromagnetics in Advanced Applications : 07/09/2015 - 11/09/2015
Projects
Frekvensomriktares funktion i beredskapskritiska system
Note

Validerad; 2016; Nivå 1; 20150409 (jekman)

Available from: 2016-09-30 Created: 2016-09-30 Last updated: 2018-09-28Bibliographically approved
In thesis
1. Multiconductor transmission lines wideband modeling: A delay-rational Green’s-function-based method
Open this publication in new window or tab >>Multiconductor transmission lines wideband modeling: A delay-rational Green’s-function-based method
2018 (English)Doctoral thesis, comprehensive summary (Other academic)
Abstract [en]

The performance of variable-frequency drives (VFDs) commonly used in energy production plants can be severely affected by electromagnetic (EM) noise in the form of conducted disturbances.

A VFD is composed of an inverter, a motor, and a connecting power cable. The insulated-gate bipolar transistor (IGBT) technology and the pulse-width modulation (PWM) technique, used in the inverter, amplified the role of the power cable, which experiences the so-called “high-frequency” or “transmission line” effects, such as reflections, crosstalk, and distortion. Therefore, a complete EM assessment of a VFD requires an accurate and computationally efficient mathematical model of the cable, which can be studied as a multiconductor transmission line (MTL). Accordingly, we developed the “delay-rational Green’s-function-based” (DeRaG) model that should overcome the main limitations of the existing methods in the literature. In the DeRaG model, the impedance (or admittance) matrix is the sum of a rational series and a so-called hyperbolic part realized by hyperbolic functions. The rational series consists of poles and residues and can be truncated to a suitable size by a delay extraction technique. The hyperbolic part retains the primary information of the high-frequency behaviors, such as attenuation and propagation delays, of a line; thus, the DeRaG model is a wideband model. The DeRaG model is independent of the terminations and sources of the line and enables a delayed state-space representation; it can also account for EM interference. Nevertheless, an EM assessment of a complex system can be performed only using a calculator and proper software. Most of the advanced models for MTLs have been adapted for SPICE-like transient solvers. However, power electronics applications are commonly simulated by using software packages such as Simulink that are optimized for system-level simulations. We thus proposed the implementation of the DeRaG model both in SPICE and in Simulink to embrace a larger group of users and applications. The Simulink implementation was notably proven to be extremely simple and easy to describe. In addition, we focused on the hyperbolic part to qualitatively assess the behavior of an MTL. Our investigation resulted in an outstanding outcome; namely, we provided the distortionless condition for MTLs, whereas the distortionless condition was previously defined only for single-conductor transmission lines as the well-known Heaviside condition. In conclusion, the DeRaG model is a wideband model for the EM analysis of generic transmission lines that is suitable for system-level simulations required in power electronics applications and offers new insights into the physics of the system.

 

Place, publisher, year, edition, pages
Luleå: Luleå University of Technology, 2018
Series
Doctoral thesis / Luleå University of Technology 1 jan 1997 → …, ISSN 1402-1544
National Category
Engineering and Technology Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Industrial Electronics
Identifiers
urn:nbn:se:ltu:diva-71021 (URN)978-91-7790-214-0 (ISBN)978-91-7790-215-7 (ISBN)
Public defence
2018-11-27, A1547, Luleå tekniska universitet, Luleå, 10:00 (English)
Opponent
Supervisors
Available from: 2018-09-28 Created: 2018-09-28 Last updated: 2018-11-21Bibliographically approved

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De Lauretis, MariaEkman, Jonas

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