Physical Modeling and Structural Properties of Small-Scale Mine Ventilation Networks

David-Fernando Novella-Rodriguez, Emmanuel Witrant and Christian Commault
Additional contact information
David-Fernando Novella-Rodriguez: Engineering and Technology Department, Universidad de Monterrey UDEM, Av. I. Morones Prieto 4500, San Pedro Garza Garcia 66238, Mexico
Emmanuel Witrant: GIPSA Lab, Automatic Control Department, Université Grenoble, 38000 Grenoble, France
Christian Commault: GIPSA Lab, Automatic Control Department, Université Grenoble, 38000 Grenoble, France

Mathematics, 2022, vol. 10, issue 8, 1-18

Abstract: This work is devoted to the modeling and structural analysis of ventilation networks in small-scale mines using a physically oriented modeling method that ensures power conservation. Small-scale mines are common in the mineral extraction industry of underdeveloped countries and their physical characteristics are taken into account in the modeling process. The geometrical topology of the ventilation network in addition with the conservation laws of the fluid distribution along the network are considered in order to obtain a simple modeling methodology. Non-linear characteristics of the interconnected fluid dynamics represent a challenge to determine significant features of the system from a control point of view. Observability and controllability properties are analyzed by considering the structural systems approach. An structural analysis provides information based on the network topology independently of the mine parameters allowing the number of sensors and actuators to be reduced while also preserving the observability and controllability of the ventilation system. Experimental results are provided by building a small-scale ventilation network benchmark to evaluate the proposed model and its properties.

Keywords: modeling; network topology; controllability; observability; structural analysis; mining industry; mine ventilation system (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/10/8/1253/pdf (application/pdf)
https://www.mdpi.com/2227-7390/10/8/1253/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:10:y:2022:i:8:p:1253-:d:791207

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().