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A Delay-Rational Model of Lossy Multiconductor Transmission Lines with Frequency Independent Per-Unit-Length Parameters
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0003-0015-0431
Department of Electrical Engineering, University of L’Aquila.
Luleå University of Technology, Department of Computer Science, Electrical and Space Engineering, Embedded Internet Systems Lab.ORCID iD: 0000-0003-4160-214X
2015 (English)In: IEEE transactions on electromagnetic compatibility (Print), ISSN 0018-9375, E-ISSN 1558-187X, Vol. 57, no 5, p. 1235-1245Article in journal (Refereed) Published
Abstract [en]

Cables, printed circuit boards, and VLSI interconnects are commonly modelled as multiconductor transmission lines. Models of electrically long transmission lines are memory and time consuming. In this paper, a robust and efficient algorithmfor the generation of a delay-based model is presented. The impedance representation via the open-end matrix Z is analyzed. In particular, the rational formulation of Z in terms of poles and residues is exploited for both lossless and lossy cases. The delaysof the lines are identified, and explicitly incorporated into the model. A model order reduction of the system is automatically performed, since only a limited number of poles and residues are included in the rational part of the model, whereas the highfrequency behaviour is captured by means of closed expressions that accounts for the delays. The proposed method is applied to two relevant examples and validated through the comparison with reference methods. The time domain solver is found to be more accurate and significantly faster than the one obtained froma pure-rational model.

Place, publisher, year, edition, pages
2015. Vol. 57, no 5, p. 1235-1245
National Category
Other Electrical Engineering, Electronic Engineering, Information Engineering
Research subject
Industrial Electronics
Identifiers
URN: urn:nbn:se:ltu:diva-16264DOI: 10.1109/TEMC.2015.2423327ISI: 000363189200037Scopus ID: 2-s2.0-85027953789Local ID: fe34757e-04d4-4224-9a37-f093e4560e91OAI: oai:DiVA.org:ltu-16264DiVA, id: diva2:989240
Projects
Frekvensomriktares funktion i beredskapskritiska system
Note

Validerad; 2015; Nivå 2; 20150401 (jekman)

Available from: 2016-09-29 Created: 2016-09-29 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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