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.
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.
| Original language | English |
|---|---|
| Article number | 1253 |
| Pages (from-to) | 1-18 |
| Number of pages | 18 |
| Journal | Mathematics |
| Volume | 10 |
| Issue number | 8 |
| DOIs | |
| Publication status | Published - 1 Apr 2022 |
Bibliographical note
Funding Information:‡ David-F. Novella-Rodriguez thanks to the Secretary of Education, Sciences, Technology and Innovation of Mexico City for the support under the grant SECITI/079/2017.
Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.