实时模拟生物活性污泥过程的DRE集成算法的比较评价

Mieczyslaw Metzger
{"title":"实时模拟生物活性污泥过程的DRE集成算法的比较评价","authors":"Mieczyslaw Metzger","doi":"10.1016/S0928-4869(99)00015-4","DOIUrl":null,"url":null,"abstract":"<div><p>An activated sludge process is considered in this work for comparative tests of new integration algorithms. Based on the configuration of the process and on the process kinetics for heterotrophic bacterial growth, the mathematical model of the considered process has been derived in the form of a state ordinary differential equation system. The state ordinary differential equation system describing the considered process may be both stiff and non-stiff for operator's control changes of the oxygen feeding flow rate. In the work, new discrete response equivalent (DRE) integration algorithms are proposed for simulation runs with a fixed integration step size, which is independent of the process dynamics (this possibility is due to self-adaptive features of the algorithms). The proposed algorithms have been compared with most other frequently used integration algorithms. The comparative tests show that, among the compared algorithms, only the DRE integration algorithms may be used with a fixed, arbitrarily chosen integration step size for simulation of the state ordinary differential equation system which may be both stiff and non-stiff during simulation.</p></div>","PeriodicalId":101162,"journal":{"name":"Simulation Practice and Theory","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2000-02-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0928-4869(99)00015-4","citationCount":"17","resultStr":"{\"title\":\"A comparative evaluation of DRE integration algorithms for real-time simulation of biologically activated sludge process\",\"authors\":\"Mieczyslaw Metzger\",\"doi\":\"10.1016/S0928-4869(99)00015-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>An activated sludge process is considered in this work for comparative tests of new integration algorithms. Based on the configuration of the process and on the process kinetics for heterotrophic bacterial growth, the mathematical model of the considered process has been derived in the form of a state ordinary differential equation system. The state ordinary differential equation system describing the considered process may be both stiff and non-stiff for operator's control changes of the oxygen feeding flow rate. In the work, new discrete response equivalent (DRE) integration algorithms are proposed for simulation runs with a fixed integration step size, which is independent of the process dynamics (this possibility is due to self-adaptive features of the algorithms). The proposed algorithms have been compared with most other frequently used integration algorithms. The comparative tests show that, among the compared algorithms, only the DRE integration algorithms may be used with a fixed, arbitrarily chosen integration step size for simulation of the state ordinary differential equation system which may be both stiff and non-stiff during simulation.</p></div>\",\"PeriodicalId\":101162,\"journal\":{\"name\":\"Simulation Practice and Theory\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2000-02-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0928-4869(99)00015-4\",\"citationCount\":\"17\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Simulation Practice and Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0928486999000154\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Simulation Practice and Theory","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0928486999000154","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 17

摘要

在这项工作中,考虑了一个活性污泥过程,对新的积分算法进行了比较测试。根据异养细菌生长的过程动力学和过程结构,建立了异养细菌生长过程的状态常微分方程组数学模型。由于操作者对供氧流量的控制变化,描述所考虑过程的状态常微分方程系统可能是刚性的,也可能是非刚性的。在这项工作中,提出了新的离散响应等效(DRE)积分算法,用于具有固定积分步长的模拟运行,这与过程动力学无关(这种可能性是由于算法的自适应特性)。将所提出的算法与大多数其他常用的积分算法进行了比较。对比试验表明,在比较的算法中,只有DRE积分算法可以用固定的任意选择的积分步长来模拟状态常微分方程系统,该系统在模拟过程中可能是刚性的,也可能是非刚性的。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A comparative evaluation of DRE integration algorithms for real-time simulation of biologically activated sludge process

An activated sludge process is considered in this work for comparative tests of new integration algorithms. Based on the configuration of the process and on the process kinetics for heterotrophic bacterial growth, the mathematical model of the considered process has been derived in the form of a state ordinary differential equation system. The state ordinary differential equation system describing the considered process may be both stiff and non-stiff for operator's control changes of the oxygen feeding flow rate. In the work, new discrete response equivalent (DRE) integration algorithms are proposed for simulation runs with a fixed integration step size, which is independent of the process dynamics (this possibility is due to self-adaptive features of the algorithms). The proposed algorithms have been compared with most other frequently used integration algorithms. The comparative tests show that, among the compared algorithms, only the DRE integration algorithms may be used with a fixed, arbitrarily chosen integration step size for simulation of the state ordinary differential equation system which may be both stiff and non-stiff during simulation.

求助全文
通过发布文献求助,成功后即可免费获取论文全文。 去求助
来源期刊
自引率
0.00%
发文量
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信