Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation

The symmetry principle of circuit system shows that we can equate a complex structure in the circuit network to a simple circuit. Hence, this paper only considers a simple series RL circuit and first presents an uncertain RL circuit model based on multifactor uncertain differential equation by consi...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	Yang Liu, Lujun Zhou
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	uncertainty theory multifactor uncertain differential equation parameter estimation RL electrical circuit Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/e854d3966cd548b3ba7f01467d35f682
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:e854d3966cd548b3ba7f01467d35f682
record_format	dspace
spelling	oai:doaj.org-article:e854d3966cd548b3ba7f01467d35f6822021-11-25T19:06:46ZModeling RL Electrical Circuit by Multifactor Uncertain Differential Equation10.3390/sym131121032073-8994https://doaj.org/article/e854d3966cd548b3ba7f01467d35f6822021-11-01T00:00:00Zhttps://www.mdpi.com/2073-8994/13/11/2103https://doaj.org/toc/2073-8994The symmetry principle of circuit system shows that we can equate a complex structure in the circuit network to a simple circuit. Hence, this paper only considers a simple series RL circuit and first presents an uncertain RL circuit model based on multifactor uncertain differential equation by considering the external noise and internal noise in an actual electrical circuit system. Then, the solution of uncertain RL circuit equation and the inverse uncertainty distribution of solution are derived. Some applications of solution for uncertain RL circuit equation are also investigated. Finally, the method of moments is used to estimate the unknown parameters in uncertain RL circuit equation.Yang LiuLujun ZhouMDPI AGarticleuncertainty theorymultifactor uncertain differential equationparameter estimationRL electrical circuitMathematicsQA1-939ENSymmetry, Vol 13, Iss 2103, p 2103 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	uncertainty theory multifactor uncertain differential equation parameter estimation RL electrical circuit Mathematics QA1-939
spellingShingle	uncertainty theory multifactor uncertain differential equation parameter estimation RL electrical circuit Mathematics QA1-939 Yang Liu Lujun Zhou Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation
description	The symmetry principle of circuit system shows that we can equate a complex structure in the circuit network to a simple circuit. Hence, this paper only considers a simple series RL circuit and first presents an uncertain RL circuit model based on multifactor uncertain differential equation by considering the external noise and internal noise in an actual electrical circuit system. Then, the solution of uncertain RL circuit equation and the inverse uncertainty distribution of solution are derived. Some applications of solution for uncertain RL circuit equation are also investigated. Finally, the method of moments is used to estimate the unknown parameters in uncertain RL circuit equation.
format	article
author	Yang Liu Lujun Zhou
author_facet	Yang Liu Lujun Zhou
author_sort	Yang Liu
title	Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation
title_short	Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation
title_full	Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation
title_fullStr	Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation
title_full_unstemmed	Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation
title_sort	modeling rl electrical circuit by multifactor uncertain differential equation
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/e854d3966cd548b3ba7f01467d35f682
work_keys_str_mv	AT yangliu modelingrlelectricalcircuitbymultifactoruncertaindifferentialequation AT lujunzhou modelingrlelectricalcircuitbymultifactoruncertaindifferentialequation
_version_	1718410313048522752

Modeling RL Electrical Circuit by Multifactor Uncertain Differential Equation

Ejemplares similares