Table of Contents Author Guidelines Submit a Manuscript
Journal of Applied Mathematics
Volume 2014, Article ID 514851, 10 pages
Research Article

Kinetics for Reduction of Iron Ore Based on the Phase Space Reconstruction

1College of Mathematics & Information Science, Pingdingshan University, Pingdingshan, Henan 467000, China
2Department of Information Management, Oriental Institute of Technology, No. 58, Section 2, Sichuan Road, Panchiao, Taipei 220, Taiwan
3Management School, Hangzhou Dianzi University, Hangzhou, Zhejiang 310018, China

Received 24 March 2014; Revised 12 June 2014; Accepted 18 June 2014; Published 17 August 2014

Academic Editor: Jiangang Zhang

Copyright © 2014 Guo-Feng Fan et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A series of smelting reduction experiments has been carried out with high-phosphorus iron ore of the different bases and heating rates by thermogravimetric analyzer. The derivative thermo gravimetric (DTG) data have been obtained from the experiments. After analyzing its phase space reconstruction, it is found that DTG phase portrait contains with a clear double “” attractor characteristic by one-order delay. The statistical properties of the attractor inside and outside the double “” structures are characterized with interface chemical reaction control and diffusion control stage in dynamic smelting process, respectively; the results are deserved to be a reference value on understanding of the mechanism and optimization and control of the process in smelting reduction of high-phosphorus iron ore.