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題名 | Modal Control of Continuous MSMPR Crystallizers=連續混合懸浮混合產物移出結晶槽之固有值控制 |
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作者 | Leu,Lii-Ping; Chen,Jye-Wann; | 書刊名 | Journal of the Chinese Institute of Chemical Engineers |
卷期 | 16:3 1985.07[民74.07] |
頁次 | 頁265-274 |
分類號 | 460.023 |
關鍵詞 | 固有值; 控制; 混合; 產物; 連續; 結晶槽; 懸浮; |
語文 | 英文(English) |
中文摘要 | 對於連續混合懸浮-混合產物移出(MSMPR)結晶槽之晶粒大小分(CSD)以及過飽和濃度會有自持續震盪的現象是為人所熟知的。本研究選擇Miers' power定率為成核速率,由相平面分析來探討第一類MSMPR結晶槽在控制前其CSD之動態行為。 固有值迴饋控制器之設計是對於進口流中沒有晶種以及等溫操作的第一類MSMPR結晶槽中,以重置開環路固有值中之共軛複根的實部為負值(不穩定狀態)或更小的負值(穩定狀態)來控制MSMPR結晶槽中的五個力矩。不論此系統基本上為穩定或不穩定狀態,系統之動態可以被固有值控制有效的改進,其中也討論了流量限制,測量誤差,以及時間延遲對於系統的影響。又當進料濃度有干擾時,固有值控制也可以很有效的消除,CSD長週期震盪現象。 |
英文摘要 | Continuous mixed-suspension mixed-product removal (MSMPR) crystallizers are known to exhibit sustained oscicllations in crystal size distribution (CSD) and supersaturation. In this study MSMPR crystallizers with Miers' power law nucleation rate and McCabe ΔL growth rate were chosen for study. The phase plane analysis is used first to investigate the open loop behavior. The model state-feedback controller for an unseed, isothermal, class I, MSMPR crystallizer is designed to relocate largest eigenvalue to negative value (unstable case) or smaller negative value (stable case). The system performance is significantly improved when the modal control is applied whether the system is stable or unstable. Transient calculations of the non-linear system equations are performed for different locations of elgenvalues of the closed loop system. The effects of measurement lag, measurement errors, throughput constraints, etc. on the system performance are discussed. With noise in feed concentration, the long-term crystal size distribution oscillation is also eliminated very effectively when the modal control is applied. |
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