Development of a spray dryer’s mathematical model for control tasks
The sustainable development paradigm includes the most efficient material and energy resources using in production processes. One of the ways to achieve this goal is creating the effective automated control systems. At the same time, such systems effective functioning is impossible without adequate...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Igor Sikorsky Kyiv Polytechnic Institute
2023-09-01
|
| Series: | Вісник Національного технічного університету України «Київський політехнічний інститут імені Ігоря Сікорського»: Серія «Хімічна інженерія, екологія та ресурсозбереження» |
| Subjects: | |
| Online Access: | http://chemengine.kpi.ua/article/view/288249 |
| _version_ | 1797356687668019200 |
|---|---|
| author | Олексій Володимирович Ситніков Денис Миколайович Складанний Костянтин Ігорович Соколов |
| author_facet | Олексій Володимирович Ситніков Денис Миколайович Складанний Костянтин Ігорович Соколов |
| author_sort | Олексій Володимирович Ситніков |
| collection | DOAJ |
| description | The sustainable development paradigm includes the most efficient material and energy resources using in production processes. One of the ways to achieve this goal is creating the effective automated control systems. At the same time, such systems effective functioning is impossible without adequate mathematical models for control objects. Thus, the actual task of this study is to create the control object – a spray dryer -model-, which could be used in the control system.
It was established that one of the main devices in the sodium tripolyphosphate production is a spray dryer in which the aqueous salts suspension is dried by flue gases. The obtained powdery product which is fed into the calcination furnace. The work investigated convective drying, where the material is in direct contact with the drying agent – furnace gas. To drying process control by the drying agent temperature.
The existing works analysis showed that the mathematical model developing process of a spray dryer requires in-depth research into the physical nature of processes which taking object's operation’s various factors into account. The object presentation can be carried out with different approaches taking into account various important production factors, but at the same time it should be as close as possible to the nature of process. The development of the spray drying process model is carried out for regulation the moisture at the finished product.
The beginning of the research is the structural and parametric diagram creation of a spray dryer taking into account all input and output values which allow to determine the control disturbance channels. A material balance based on the moisture and loose matter amount and a gas environment heat balance is compiled. The transfer functions component calculation is carried out using the Kramer method.
The presented results of the research make it possible to build and analyse the spray dryer mathematical model taking into account the requirements for the substance moisture content be dried and the control process analysis by the drying agent temperature changing. The transient characteristics of the spray dryer by the disturbance and control channels, which are calculated and presented in the research make it possible to compare the control object behaviour with and without taking heat loss into the environment the assumptions into account. |
| first_indexed | 2024-03-08T14:30:13Z |
| format | Article |
| id | doaj.art-8ccfaa0816da444980e0427eaacc7abf |
| institution | Directory Open Access Journal |
| issn | 2617-9741 2664-1763 |
| language | English |
| last_indexed | 2024-03-08T14:30:13Z |
| publishDate | 2023-09-01 |
| publisher | Igor Sikorsky Kyiv Polytechnic Institute |
| record_format | Article |
| series | Вісник Національного технічного університету України «Київський політехнічний інститут імені Ігоря Сікорського»: Серія «Хімічна інженерія, екологія та ресурсозбереження» |
| spelling | doaj.art-8ccfaa0816da444980e0427eaacc7abf2024-01-12T11:56:23ZengIgor Sikorsky Kyiv Polytechnic InstituteВісник Національного технічного університету України «Київський політехнічний інститут імені Ігоря Сікорського»: Серія «Хімічна інженерія, екологія та ресурсозбереження»2617-97412664-17632023-09-013526210.20535/2617-9741.3.2023.288249326520Development of a spray dryer’s mathematical model for control tasksОлексій Володимирович Ситніков0Денис Миколайович Складанний1Костянтин Ігорович Соколов2National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»National Technical University of Ukraine «Igor Sikorsky Kyiv Polytechnic Institute»The sustainable development paradigm includes the most efficient material and energy resources using in production processes. One of the ways to achieve this goal is creating the effective automated control systems. At the same time, such systems effective functioning is impossible without adequate mathematical models for control objects. Thus, the actual task of this study is to create the control object – a spray dryer -model-, which could be used in the control system. It was established that one of the main devices in the sodium tripolyphosphate production is a spray dryer in which the aqueous salts suspension is dried by flue gases. The obtained powdery product which is fed into the calcination furnace. The work investigated convective drying, where the material is in direct contact with the drying agent – furnace gas. To drying process control by the drying agent temperature. The existing works analysis showed that the mathematical model developing process of a spray dryer requires in-depth research into the physical nature of processes which taking object's operation’s various factors into account. The object presentation can be carried out with different approaches taking into account various important production factors, but at the same time it should be as close as possible to the nature of process. The development of the spray drying process model is carried out for regulation the moisture at the finished product. The beginning of the research is the structural and parametric diagram creation of a spray dryer taking into account all input and output values which allow to determine the control disturbance channels. A material balance based on the moisture and loose matter amount and a gas environment heat balance is compiled. The transfer functions component calculation is carried out using the Kramer method. The presented results of the research make it possible to build and analyse the spray dryer mathematical model taking into account the requirements for the substance moisture content be dried and the control process analysis by the drying agent temperature changing. The transient characteristics of the spray dryer by the disturbance and control channels, which are calculated and presented in the research make it possible to compare the control object behaviour with and without taking heat loss into the environment the assumptions into account.http://chemengine.kpi.ua/article/view/288249energy efficiencyspray dryermathematical modelcanonical formlinearized equation |
| spellingShingle | Олексій Володимирович Ситніков Денис Миколайович Складанний Костянтин Ігорович Соколов Development of a spray dryer’s mathematical model for control tasks Вісник Національного технічного університету України «Київський політехнічний інститут імені Ігоря Сікорського»: Серія «Хімічна інженерія, екологія та ресурсозбереження» energy efficiency spray dryer mathematical model canonical form linearized equation |
| title | Development of a spray dryer’s mathematical model for control tasks |
| title_full | Development of a spray dryer’s mathematical model for control tasks |
| title_fullStr | Development of a spray dryer’s mathematical model for control tasks |
| title_full_unstemmed | Development of a spray dryer’s mathematical model for control tasks |
| title_short | Development of a spray dryer’s mathematical model for control tasks |
| title_sort | development of a spray dryer s mathematical model for control tasks |
| topic | energy efficiency spray dryer mathematical model canonical form linearized equation |
| url | http://chemengine.kpi.ua/article/view/288249 |
| work_keys_str_mv | AT oleksíjvolodimirovičsitníkov developmentofaspraydryersmathematicalmodelforcontroltasks AT denismikolajovičskladannij developmentofaspraydryersmathematicalmodelforcontroltasks AT kostântinígorovičsokolov developmentofaspraydryersmathematicalmodelforcontroltasks |