REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENT
The relevance of the research is caused by the need to improve the accuracy of mathematical models of nonlinear dynamic processes of iron ore raw materials enrichment. This direction of improving the modeling tools for complex systems will make better the control of enrichment and the quality of the...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | Russian |
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Tomsk Polytechnic University
2019-12-01
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| Series: | Известия Томского политехнического университета: Инжиниринг георесурсов |
| Subjects: | |
| Online Access: | http://izvestiya.tpu.ru/archive/article/view/2416/2132 |
| _version_ | 1818274555964162048 |
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| author | Vladimir S. Morkun Natalia V. Morkun Vitaliy V. Tron Svitlana M. Hryshchenko Oleksandr I. Suvorov Dmitriy I. Paraniuk Oleksandra J. Serdiuk |
| author_facet | Vladimir S. Morkun Natalia V. Morkun Vitaliy V. Tron Svitlana M. Hryshchenko Oleksandr I. Suvorov Dmitriy I. Paraniuk Oleksandra J. Serdiuk |
| author_sort | Vladimir S. Morkun |
| collection | DOAJ |
| description | The relevance of the research is caused by the need to improve the accuracy of mathematical models of nonlinear dynamic processes of iron ore raw materials enrichment. This direction of improving the modeling tools for complex systems will make better the control of enrichment and the quality of the final products. The main aim of the research is to increase the accuracy of dynamic spatiotemporal mathematical models of interrelated processes for control systems of the technological enrichment line of ore represented by mineral-technological varieties. Objects: dynamic spatiotemporal mathematical models of interrelated processes for control systems of the technological ore enrichment line. Methods: systematization and analysis of the developed methods of mathematical modeling of distributed interrelated processes, methods of mathematical statistics and probability theory for processing experimental results, computer information and software technologies for implementing the developed approaches. Results. The authors have proposed the improved approach for modeling iron ore raw material enrichment as spatio-temporal structures with distributed parameters, taking into account the indices of individual technological stages throughout the spectrum of the granulometric characteristics of the processed ore. To reduce the dimensionality of the models represented as distributed structures of control objects, which transform the content and yield of the useful component over the entire spectrum of ore granulometric characteristics, it is advisable to use the method of diffusion maps, in this case the Sammon's error was 2,6 %. |
| first_indexed | 2024-12-12T22:15:44Z |
| format | Article |
| id | doaj.art-84a6b936dda24fbaad462893189c61ed |
| institution | Directory Open Access Journal |
| issn | 2500-1019 2413-1830 |
| language | Russian |
| last_indexed | 2024-12-12T22:15:44Z |
| publishDate | 2019-12-01 |
| publisher | Tomsk Polytechnic University |
| record_format | Article |
| series | Известия Томского политехнического университета: Инжиниринг георесурсов |
| spelling | doaj.art-84a6b936dda24fbaad462893189c61ed2022-12-22T00:10:05ZrusTomsk Polytechnic UniversityИзвестия Томского политехнического университета: Инжиниринг георесурсов2500-10192413-18302019-12-013301215116710.18799/24131830/2019/12/2416REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENTVladimir S. Morkun0Natalia V. Morkun1Vitaliy V. Tron2Svitlana M. Hryshchenko3Oleksandr I. Suvorov4Dmitriy I. Paraniuk5Oleksandra J. Serdiuk6Krivoi Rog National UniversityKrivoi Rog National UniversityKrivoi Rog National UniversityKrivoi Rog National UniversityAcademy of Mining Sciences of UkrainePrivate Joint Stock Company «ArcelorMittal Krivoi Rog»Krivoi Rog National UniversityThe relevance of the research is caused by the need to improve the accuracy of mathematical models of nonlinear dynamic processes of iron ore raw materials enrichment. This direction of improving the modeling tools for complex systems will make better the control of enrichment and the quality of the final products. The main aim of the research is to increase the accuracy of dynamic spatiotemporal mathematical models of interrelated processes for control systems of the technological enrichment line of ore represented by mineral-technological varieties. Objects: dynamic spatiotemporal mathematical models of interrelated processes for control systems of the technological ore enrichment line. Methods: systematization and analysis of the developed methods of mathematical modeling of distributed interrelated processes, methods of mathematical statistics and probability theory for processing experimental results, computer information and software technologies for implementing the developed approaches. Results. The authors have proposed the improved approach for modeling iron ore raw material enrichment as spatio-temporal structures with distributed parameters, taking into account the indices of individual technological stages throughout the spectrum of the granulometric characteristics of the processed ore. To reduce the dimensionality of the models represented as distributed structures of control objects, which transform the content and yield of the useful component over the entire spectrum of ore granulometric characteristics, it is advisable to use the method of diffusion maps, in this case the Sammon's error was 2,6 %.http://izvestiya.tpu.ru/archive/article/view/2416/2132space-temporal modeldimensional reductiondiffuse maps methodore dressing |
| spellingShingle | Vladimir S. Morkun Natalia V. Morkun Vitaliy V. Tron Svitlana M. Hryshchenko Oleksandr I. Suvorov Dmitriy I. Paraniuk Oleksandra J. Serdiuk REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENT Известия Томского политехнического университета: Инжиниринг георесурсов space-temporal model dimensional reduction diffuse maps method ore dressing |
| title | REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENT |
| title_full | REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENT |
| title_fullStr | REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENT |
| title_full_unstemmed | REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENT |
| title_short | REDUCING DIMENSION OF SPATIO-TEMPORAL MODELS OF NONLINEAR DYNAMIC PROCESSES OF IRON ORE RAW MATERIALS ENRICHMENT |
| title_sort | reducing dimension of spatio temporal models of nonlinear dynamic processes of iron ore raw materials enrichment |
| topic | space-temporal model dimensional reduction diffuse maps method ore dressing |
| url | http://izvestiya.tpu.ru/archive/article/view/2416/2132 |
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