Simulation of Multiconductor Transmission Lines with Random Parameters via Stochastic Differential Equations Approach.

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F16%3APU119130" target="_blank" >RIV/00216305:26220/16:PU119130 - isvavai.cz</a>

Výsledek na webu

<a href="http://sim.sagepub.com/content/92/6/521.full.pdf?ijkey=0hH1aBawL74zJaX&keytype=finite" target="_blank" >http://sim.sagepub.com/content/92/6/521.full.pdf?ijkey=0hH1aBawL74zJaX&keytype=finite</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1177/0037549716645198" target="_blank" >10.1177/0037549716645198</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Simulation of Multiconductor Transmission Lines with Random Parameters via Stochastic Differential Equations Approach.

Popis výsledku v původním jazyce

This article addresses a method for the simulation of multiconductor transmission lines (MTLs) with fluctuating parameters based on the theory of stochastic differential equations (SDEs). Specifically, confidence intervals of an MTL models stochastic responses are effectively evaluated. First, the MTLs deterministic model with lumped parameters, based on generalized PI sections connected in cascade, is formulated and described through a state variable method, which results in a vector ordinary differential equation (ODE) in the time domain. A vector SDE is then developed by incorporating the respective stochastic processes into its deterministic counterpart. Next, the first two moments of the stochastic processes are calculated via the solution of respective Lyapunov-like ODEs, to assess expectations and the variances of stochastic responses, and also to determine relevant confidence intervals. A statistical processing of individual stochastic trajectories is used to validate the results.

Název v anglickém jazyce

Simulation of Multiconductor Transmission Lines with Random Parameters via Stochastic Differential Equations Approach.

Popis výsledku anglicky

This article addresses a method for the simulation of multiconductor transmission lines (MTLs) with fluctuating parameters based on the theory of stochastic differential equations (SDEs). Specifically, confidence intervals of an MTL models stochastic responses are effectively evaluated. First, the MTLs deterministic model with lumped parameters, based on generalized PI sections connected in cascade, is formulated and described through a state variable method, which results in a vector ordinary differential equation (ODE) in the time domain. A vector SDE is then developed by incorporating the respective stochastic processes into its deterministic counterpart. Next, the first two moments of the stochastic processes are calculated via the solution of respective Lyapunov-like ODEs, to assess expectations and the variances of stochastic responses, and also to determine relevant confidence intervals. A statistical processing of individual stochastic trajectories is used to validate the results.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20201 - Electrical and electronic engineering

Projekt

<a href="/cs/project/GA15-18288S" target="_blank" >GA15-18288S: Výzkum integrity signálů u vysokorychlostních propojovacích struktur</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2016

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

SIMULATION-TRANSACTIONS OF THE SOCIETY FOR MODELING AND SIMULATION INTERNATIONAL

ISSN

0037-5497

e-ISSN

1741-3133

Svazek periodika

92

Číslo periodika v rámci svazku

6

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

521-533

Kód UT WoS článku

000377999400003

EID výsledku v databázi Scopus

2-s2.0-84973513787