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The trust region filter strategy: Survey of a rigorous approach for optimization with surrogate models 信任区域过滤策略:使用代用模型进行优化的严格方法概览
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-11-14 DOI: 10.1016/j.dche.2024.100197
Lorenz T. Biegler
Recent developments in efficient, large-scale nonlinear optimization strategies have had significants impact on the design and operation of engineering systems with equation-oriented (EO) models. On the other hand, rigorous first-principle procedural (i.e., black-box ’truth’) models may be difficult to incorporate directly within this optimization framework. Instead, black-box models are often substituted by lower fidelity surrogate models that may compromise the optimal solution. To overcome these challenges, Trust Region Filter (TRF) methods have been developed, which combine surrogate models optimization with intermittent sampling of truth models. The TRF approach combines efficient solution strategies with minimal recourse to truth models, and leads to guaranteed convergence to the truth model optimum. This survey paper provides a perspective on the conceptual development and evolution of the TRF method along with a review of applications that demonstrate the effectiveness of the TRF approach. In particular, three cases studies are presented on flowsheet optimization with embedded CFD models for advanced power plants and CO2 capture processes, as well as synthesis of heat exchanger networks with detailed finite-element equipment models.
高效、大规模非线性优化策略的最新发展,对采用方程导向(EO)模型的工程系统的设计和运行产生了重大影响。另一方面,严格的第一原理程序(即黑盒 "真理")模型可能难以直接纳入这种优化框架。相反,黑盒模型通常会被保真度较低的代用模型所替代,而代用模型可能会影响最优解。为了克服这些挑战,人们开发了信任区域滤波器(TRF)方法,该方法将代理模型优化与真实模型间歇采样相结合。TRF 方法结合了高效的求解策略和对真实模型的最小求助,并能保证收敛到真实模型的最优值。本调查报告从概念发展和 TRF 方法演变的角度,对证明 TRF 方法有效性的应用进行了综述。本文特别介绍了三个案例研究,分别涉及先进发电厂和二氧化碳捕集过程的嵌入式 CFD 模型流场优化,以及使用详细的有限元设备模型合成热交换器网络。
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引用次数: 0
Multi-agent distributed control of integrated process networks using an adaptive community detection approach 使用自适应群落检测方法对集成流程网络进行多代理分布式控制
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-24 DOI: 10.1016/j.dche.2024.100196
AmirMohammad Ebrahimi, Davood B. Pourkargar
This paper focuses on developing an adaptive system decomposition approach for multi-agent distributed model predictive control (DMPC) of integrated process networks. The proposed system decomposition employs a refined spectral community detection method to construct an optimal distributed control framework based on the weighted graph representation of the state space process model. The resulting distributed architecture assigns controlled outputs and manipulated inputs to controller agents and delineates their interactions. The decomposition evolves as the process network undergoes various operating conditions, enabling adjustments in the distributed architecture and DMPC design. This adaptive architecture enhances the closed-loop performance and robustness of DMPC systems. The effectiveness of the multi-agent distributed control approach is investigated for a benchmark benzene alkylation process under two distinct operating conditions characterized by medium and low recycle ratios. Simulation results demonstrate that adaptive decompositions derived through spectral community detection, utilizing weighted graph representations, outperform the commonly employed unweighted hierarchical community detection-based system decompositions in terms of closed-loop performance and computational efficiency.
本文主要针对集成过程网络的多代理分布式模型预测控制(DMPC)开发一种自适应系统分解方法。所提出的系统分解方法采用了一种精炼的谱群检测方法,以状态空间过程模型的加权图表示为基础,构建了一个最优分布式控制框架。由此产生的分布式架构将受控输出和操纵输入分配给控制器代理,并划定它们之间的交互关系。随着过程网络经历不同的运行条件,分解也会发生变化,从而对分布式架构和 DMPC 设计进行调整。这种自适应架构提高了 DMPC 系统的闭环性能和鲁棒性。在以中循环比和低循环比为特征的两种不同运行条件下,对基准苯烷基化工艺的多代理分布式控制方法的有效性进行了研究。仿真结果表明,通过光谱群落检测得出的自适应分解利用加权图表示法,在闭环性能和计算效率方面优于常用的基于群落检测的非加权分层系统分解。
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引用次数: 0
Industrial data-driven machine learning soft sensing for optimal operation of etching tools 用于优化蚀刻工具操作的工业数据驱动型机器学习软传感技术
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-22 DOI: 10.1016/j.dche.2024.100195
Feiyang Ou , Henrik Wang , Chao Zhang , Matthew Tom , Sthitie Bom , James F. Davis , Panagiotis D. Christofides
<div><div>Smart Manufacturing, or Industry 4.0, has gained significant attention in recent decades with the integration of Internet of Things (IoT) and Information Technologies (IT). As modern production methods continue to increase in complexity, there is a greater need to consider what variables can be physically measured. This advancement necessitates the use of physical sensors to comprehensively and directly gather measurable data on industrial processes; specifically, these sensors gather data that can be recontextualized into new process information. For example, artificial intelligence (AI) machine learning-based soft sensors can increase operational productivity and machine tool performance while still ensuring that critical product specifications are met. One industry that has a high volume of labor-intensive, time-consuming, and expensive processes is the semiconductor industry. AI machine learning methods can meet these challenges by taking in operational data and extracting process-specific information needed to meet the high product specifications of the industry. However, a key challenge is the availability of high quality data that covers the full operating range, including the day-to-day variance. This paper examines the applicability of soft sensing methods to the operational data of five industrial etching machines. Data is collected from readily accessible and cost-effective physical sensors installed on the tools that manage and control the operating conditions of the tool. The operational data are then used in an intelligent data aggregation approach that increases the scope and robustness for soft sensors in general by creating larger training datasets comprised of high value data with greater operational ranges and process variation. The generalized soft sensor can then be fine-tuned and validated for a particular machine. In this paper, we test the effects of data aggregation for high performing Feedforward Neural Network (FNN) models that are constructed in two ways: first as a classifier to estimate product PASS/FAIL outcomes and second as a regressor to quantitatively estimate oxide thickness. For PASS/FAIL classification, a data aggregation method is developed to enhance model predictive performance with larger training datasets. A statistical analysis method involving point-biserial correlation and the Mean Absolute Error (MAE) difference score is introduced to select the optimal candidate datasets for aggregation, further improving the effectiveness of data aggregation. For large datasets with high quality data that enable model training for more complex tasks, regression models that predict the oxide thickness of the product are also developed. Two types of models with different loss functions are tested to compare the effects of the Mean Squared Error (MSE) and Mean Absolute Percentage Error (MAPE) loss functions on model performance. Both the classification and regression models can be applied in industrial setti
近几十年来,随着物联网(IoT)与信息技术(IT)的融合,智能制造(或称工业 4.0)获得了极大关注。随着现代生产方法的复杂性不断提高,人们更需要考虑哪些变量可以进行物理测量。这种进步要求使用物理传感器来全面、直接地收集工业流程的可测量数据;具体而言,这些传感器收集的数据可以重新组合为新的流程信息。例如,基于人工智能(AI)机器学习的软传感器可以提高操作生产力和机床性能,同时还能确保满足关键的产品规格要求。半导体行业是一个劳动密集型、耗时长、成本高的行业。人工智能机器学习方法可以通过接收操作数据并提取满足该行业高产品规格所需的特定流程信息来应对这些挑战。然而,一个关键的挑战是如何获得涵盖整个操作范围(包括日常差异)的高质量数据。本文研究了软传感方法对五台工业蚀刻机运行数据的适用性。数据是从安装在工具上的易于获取且经济高效的物理传感器中收集的,这些传感器负责管理和控制工具的运行条件。操作数据随后被用于一种智能数据聚合方法,该方法通过创建更大的训练数据集(由具有更大操作范围和流程变化的高价值数据组成)来增加软传感器的总体范围和鲁棒性。然后,可以针对特定机器对通用软传感器进行微调和验证。在本文中,我们测试了数据聚合对高性能前馈神经网络 (FNN) 模型的影响,这些模型以两种方式构建:第一种是作为分类器来估计产品的 PASS/FAIL 结果,第二种是作为回归器来定量估计氧化层厚度。针对 PASS/FAIL 分类,开发了一种数据聚合方法,以提高模型在更大训练数据集上的预测性能。此外,还引入了一种统计分析方法,通过点-阶梯相关性和平均绝对误差(MAE)差异得分来选择最佳的候选数据集进行聚合,从而进一步提高了数据聚合的有效性。对于具有高质量数据的大型数据集,可以进行更复杂任务的模型训练,还开发了预测产品氧化层厚度的回归模型。测试了具有不同损失函数的两类模型,以比较平均平方误差 (MSE) 和平均绝对百分比误差 (MAPE) 损失函数对模型性能的影响。分类和回归模型都可以应用于工业环境,因为它们提供了有关过程结果的额外信息。单独来看,这些模型可以减少半导体工厂的计量步骤,进一步开发后,还能增强先进过程控制策略的开发能力。
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引用次数: 0
Process integration technique for targeting carbon credit price subsidy 针对碳信用价格补贴的流程整合技术
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-20 DOI: 10.1016/j.dche.2024.100192
Maria Victoria Migo-Sumagang , Kathleen B. Aviso , Raymond R. Tan , Xiaoping Jia , Zhiwei Li , Dominic C.Y. Foo
Mitigating climate change requires a portfolio of strategies and the use of carbon dioxide removal techniques or negative emissions technologies (NETs) will be necessary to achieve this goal. However, the high implementation costs of advanced NETs lead to expensive carbon credits, hindering their broad acceptance and use. One potential solution involves governmental support through subsidies, aiming to boost the availability of NET-derived carbon credits. This research uses a graphical technique based on an extension of pinch analysis to identify the ideal subsidy level for carbon dioxide removal, taking into account factors such as carbon pricing, supply, and demand. The proposed approach modifies the limiting composite curve (LCC) methodology to accurately determine the optimal subsidy and establish the baseline amount of subsidized carbon dioxide removal needed. The approach enables the convenient and efficient construction of the LCC using a composite table algorithm. To illustrate the proposed methodology, two case studies composed of different NETs and demand sectors are investigated. The results show the most advantageous subsidy levels for these technologies, providing valuable insights to guide policymakers and investors in their decarbonization efforts. This work contributes to the development of effective governance and investment strategies by optimizing NET subsidy allocation. Such optimization is crucial for facilitating the widespread implementation of these technologies, which are in-line with the global efforts to mitigate climate change.
减缓气候变化需要一系列战略,而使用二氧化碳清除技术或负排放技术(NET)将是实现这一目标的必要条件。然而,先进的负排放技术实施成本高昂,导致碳信用额度昂贵,阻碍了其被广泛接受和使用。一个潜在的解决方案是政府通过补贴提供支持,旨在提高由负向排放技术产生的碳信用额的可用性。本研究采用基于撮合分析扩展的图形技术,在考虑碳定价、供应和需求等因素的基础上,确定二氧化碳清除的理想补贴水平。所提出的方法修改了极限复合曲线(LCC)方法,以准确确定最佳补贴,并确定所需的二氧化碳减排补贴基线量。该方法采用复合表算法,可方便、高效地构建 LCC。为了说明所提出的方法,我们对由不同的净能源和需求部门组成的两个案例进行了研究。结果显示了这些技术最有利的补贴水平,为指导政策制定者和投资者的去碳化工作提供了宝贵的见解。这项工作通过优化 NET 补贴分配,有助于制定有效的治理和投资战略。这种优化对于促进这些技术的广泛实施至关重要,而这些技术与全球减缓气候变化的努力是一致的。
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引用次数: 0
Robust simulation and technical evaluation of large-scale gas oil hydrocracking process via extended water-energy-product (E-WEP) analysis 通过扩展水-能-产(E-WEP)分析对大规模天然气油加氢裂化工艺进行稳健模拟和技术评估
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-18 DOI: 10.1016/j.dche.2024.100193
Sofía García-Maza, Ángel Darío González-Delgado
Currently, the implementation of techniques to improve the quality of refining products such as hydrocracking of gas oil requires a rigorous analysis of the operating conditions of the system, mainly because at the plant operation level it is difficult to make relevant modifications in the processes without considering the possible economic, environmental, and social impacts that may be generated. For this reason, the need has arisen to use specialized computational tools that allow predicting the behavior of various processes to optimize their stages. This work presents the modeling, simulation, and extended Water-Energy-Product (E-WEP) technical evaluation of the gas oil hydrocracking process on an industrial scale considering the general conditions of the system and the extended development of the material and energy balance, using the Aspen HYSYS® simulator. The results showed that for a load capacity of 487,545 lb/h of gas oil with 145,708 lb/h of hydrogen a Production Yield of 95.77 % was obtained. Finally, 12 technical indicators related to raw materials, products, water, and energy were calculated, where the efficiency of these parameters was determined, reaching the maximum efficiency in the Total Cost of Energy (TCE) indicator with a value of 98.96 %, and the minimum in Wastewater Production Ratio (WPR) with a value of 22.39 %, the latter shows that the process supports mass integration of water effluents.
目前,要实施提高炼油产品质量的技术(如天然气油加氢裂化),需要对系统的运行条件进行严格分析,这主要是因为在工厂运行层面,如果不考虑可能产生的经济、环境和社会影响,就很难对工艺进行相关修改。因此,需要使用专门的计算工具来预测各种工艺的行为,以优化其各个阶段。本研究利用 Aspen HYSYS® 模拟器,对工业规模的天然气油加氢裂化过程进行了建模、模拟和扩展的水-能源-产品(E-WEP)技术评估,考虑了系统的一般条件以及材料和能量平衡的扩展发展。结果表明,对于负载能力为 487,545 磅/小时的天然气油和 145,708 磅/小时的氢气,生产收益率为 95.77%。最后,还计算了与原材料、产品、水和能源有关的 12 项技术指标,确定了这些参数的效率,其中能源总成本 (TCE) 指标的效率最高,为 98.96%,废水生产率 (WPR) 指标的效率最低,为 22.39%,后者表明该工艺支持水废水的大规模整合。
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引用次数: 0
A risk-based model for human-artificial intelligence conflict resolution in process systems 基于风险的流程系统中人工智能冲突解决模型
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-12 DOI: 10.1016/j.dche.2024.100194
He Wen , Faisal Khan
The conflicts stemming from discrepancies between human and artificial intelligence (AI) in observation, interpretation, and action have gained attention. Recent publications highlight the seriousness of the concern stemming from conflict and models to identify and assess the conflict risk. No work has been reported on systematically studying how to resolve human and artificial intelligence conflicts. This paper presents a novel approach to model the resolution strategies of human-AI conflicts. This approach reinterprets the conventional human conflict resolution mechanisms within AI. The study proposes a unique mathematical model to quantify conflict risks and delineate effective resolution strategies to minimize conflict risk. The proposed approach and mode are applied to control a two-phase separator system, a major component of a processing facility. The proposed approach promotes the development of robust AI systems with enhanced real-time responses to human inputs. It provides a platform to foster human-AI collaborative engagement and a mechanism of intelligence augmentation.
人类与人工智能(AI)在观察、解释和行动方面的差异所产生的冲突已引起人们的关注。最近的出版物强调了冲突所引发的严重问题,以及识别和评估冲突风险的模型。目前还没有关于系统研究如何解决人类与人工智能冲突的报道。本文提出了一种新颖的方法来模拟人类与人工智能冲突的解决策略。这种方法重新诠释了人工智能中传统的人类冲突解决机制。研究提出了一种独特的数学模型,用于量化冲突风险,并划定有效的解决策略,以最大限度地降低冲突风险。所提出的方法和模式被应用于控制一个两相分离器系统,该系统是加工设施的主要组成部分。所提出的方法促进了稳健的人工智能系统的发展,增强了对人类输入的实时响应。它提供了一个促进人类与人工智能协作参与的平台和一种智能增强机制。
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引用次数: 0
First-principle modeling of parallel-flow regenerative kilns and their optimization with genetic algorithm and gradient-based method 平行流蓄热式窑炉的第一原理建模以及利用遗传算法和梯度法对其进行优化
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-09 DOI: 10.1016/j.dche.2024.100190
Michael Kreitmeir, Bruno Villela Pedras Lago, Ladislaus Schoenfeld, Sebastian Rehfeldt, Harald Klein
We present a one-dimensional first-principle model for parallel-flow regenerative kilns that accounts for the most important effects. These include the kinetics and thermal effects of the limestone decomposition as well as the heat transfer between the gaseous and solid phases. The model consists of two coupled equation systems for the upper and lower part of the kiln. The results of the model are validated qualitatively and are used to train an artificial neural network that predicts the conversion and the temperature in the crossover channel. The artificial neural network performs very well with values of the root mean squared error that are two to three orders of magnitudes lower than the range covered within the data. Finally, we use a genetic algorithm to optimize the feed mass flows such that the conversion and the fuel efficiency are improved in a Pareto-optimal manner. The results are compared to those of a gradient-based optimization method, which shows the usefulness and validity of the approach with the genetic algorithm.
我们提出了平行流蓄热式窑炉的一维第一原理模型,该模型考虑了最重要的影响。其中包括石灰石分解的动力学和热效应,以及气相和固相之间的热传递。该模型由窑炉上部和下部的两个耦合方程系统组成。模型的结果得到了定性验证,并被用于训练一个人工神经网络,以预测转化率和交叉通道的温度。人工神经网络的表现非常出色,其均方根误差值比数据范围内的误差值低两到三个数量级。最后,我们使用遗传算法来优化进料质量流量,从而以帕累托最优方式提高转化率和燃料效率。我们将结果与基于梯度的优化方法进行了比较,结果表明使用遗传算法的方法是有用和有效的。
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引用次数: 0
Dynamic feed scheduling for optimised anaerobic digestion: An optimisation approach for better decision-making to enhance revenue and environmental benefits 优化厌氧消化的动态进料调度:优化决策方法,提高收入和环境效益
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-09 DOI: 10.1016/j.dche.2024.100191
Meshkat Dolat , Rohit Murali , Mohammadamin Zarei , Ruosi Zhang , Tararag Pincam , Yong-Qiang Liu , Jhuma Sadhukhan , Angela Bywater , Michael Short
Anaerobic digestion (AD) offers a sustainable solution for clean energy production, with the potential for significant revenue enhancement through enhanced decision-making. However, the complexity and limited flexibility of AD systems pose challenges in developing reliable optimisation methods. Changing feeding strategies provides opportunities for efficient feedstock utilisation and optimal gas production, especially in volatile gas markets.
To provide better decision-making tools in AD for energy production, we propose an integrated site model for the dynamic behaviour of the AD process in a biomethane-to-grid system and optimise production based on predicted gas prices. The model includes methods for optimal feed co-digestion strategies and integrates these results into a scheduling model to identify the optimal feedstock acquisition, feeding pattern, and potential gas storage operation considering feedstock availability, properties, sustainability, and fluctuating gas demand under different pricing variations.
The methodology was tested on a 150 tonnes per day farm-scale AD plant in the UK, processing energy crops and manure considering both environmental (global warming potential) and economic objectives. The results showed strong adaptability of the proposed feeding schedule to the general trend of gas prices over time. To address the challenge of immediate price peaks, typically unattainable due to the system's sluggish behaviour and high retention times, the impacts of on-site storage were explored, leading to annual revenue increases ranging from 2 % to 7.4 %, depending on the pricing scheme, which translates to a significant boost in terms of revenue.
厌氧消化(AD)为清洁能源生产提供了一种可持续的解决方案,并有可能通过加强决策来显著增加收入。然而,厌氧消化系统的复杂性和有限灵活性给开发可靠的优化方法带来了挑战。为了提供更好的能源生产厌氧消化(AD)决策工具,我们提出了生物甲烷并网系统中厌氧消化(AD)过程动态行为的综合现场模型,并根据预测的天然气价格优化生产。该模型包括最佳进料协同消化策略的方法,并将这些结果整合到一个调度模型中,以确定最佳的进料获取、进料模式和潜在的气体储存操作,同时考虑进料的可用性、特性、可持续性以及不同价格变化下的波动气体需求。结果表明,建议的供料计划对天然气价格的总体趋势具有很强的适应性。由于系统行为迟缓、滞留时间长,通常无法立即达到价格峰值,为了应对这一挑战,研究人员探讨了现场储存的影响,根据定价方案,年收入增幅从 2% 到 7.4% 不等,这意味着收入大幅增加。
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引用次数: 0
An MINLP-based decision-making tool to help microbreweries improve energy efficiency and reduce carbon footprint through retrofits 基于 MINLP 的决策工具,帮助微型酿酒厂通过改造提高能效并减少碳足迹
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-10-03 DOI: 10.1016/j.dche.2024.100189
Veit Schagon, Rohit Murali, Ruosi Zhang, Melis Duyar, Michael Short
Microbreweries have greater production costs per litre of beer compared to large breweries, as well as higher carbon footprints. Due to the range of different retrofit technologies available and the different capacities and configurations of microbreweries, it is not always clear what retrofits will improve operations. Therefore, this work proposes a novel mixed-integer nonlinear programming decision-making tool to be used by any microbrewery, that determines the technoeconomic feasibility and sizing of energy efficiency-improving retrofits, including solar and wind power, battery storage, anaerobic digestion, boiler type selection, heat integration by heat storage, and carbon capture via dual-function materials. The model was demonstrated on a real UK microbrewery case study. The model gave an optimal configuration of a 10 m3 anaerobic digester, 30 solar panels outputting 380 W each, an 800 W wind turbine and a 2.3 m3 heat storage tank, reducing annual operating costs by 62.9 % and carbon dioxide emissions by 77.1 % with a payback period of 8 years. The tool is designed to be flexible for use by any microbrewery in any location with any brewing recipe and allow the owner(s) to develop more profitable and sustainable microbreweries.
Tweetable abstract
Microbreweries can implement mathematically optimised renewable energy, heat integration and anaerobic digestion to reduce operating costs by 62.9 % and carbon emissions by 77.1 %.
与大型啤酒厂相比,微型啤酒厂每升啤酒的生产成本更高,碳足迹也更大。由于现有的改造技术多种多样,而且微型啤酒厂的产能和配置也各不相同,因此并不总是很清楚什么样的改造才能改善运营。因此,这项工作提出了一种新颖的混合整数非线性编程决策工具,可供任何微型酿酒厂使用,用于确定提高能效改造的技术经济可行性和规模,包括太阳能和风能、电池存储、厌氧消化、锅炉类型选择、通过热存储进行热集成以及通过双功能材料进行碳捕集。该模型在一个真实的英国微型酿酒厂案例研究中进行了演示。该模型给出了一个 10 立方米厌氧消化器、30 块太阳能电池板(每块输出功率为 380 瓦)、800 瓦风力涡轮机和 2.3 立方米储热罐的最佳配置,每年可降低 62.9% 的运营成本和 77.1% 的二氧化碳排放量,投资回收期为 8 年。该工具设计灵活,适用于任何地点、任何酿造配方的任何微型啤酒厂,使所有者都能开发出利润更高、更可持续的微型啤酒厂。
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引用次数: 0
A hybrid BOA-SVR approach for predicting aerobic organic and nitrogen removal in a gas-liquid-solid circulating fluidized bed bioreactor 预测气液固循环流化床生物反应器中好氧有机物和氮去除情况的 BOA-SVR 混合方法
IF 3 Q2 ENGINEERING, CHEMICAL Pub Date : 2024-09-24 DOI: 10.1016/j.dche.2024.100188
Shaikh Abdur Razzak , Nahid Sultana , S.M. Zakir Hossain , Muhammad Muhitur Rahman , Yue Yuan , Mohammad Mozahar Hossain , Jesse Zhu
This study introduces the hybrid of the Bayesian optimization algorithm and support vector regression (BOA-SVR) models to predict the removal of aerobic organic (total chemical oxygen demand, COD) and nitrogen compounds such as total Kjeldahl Nitrogen (TKN), ammonium nitrogen (NH4-N), and nitrate nitrogen (NO3-N) from municipal wastewater in a gas-liquid-solid circulating fluidized bed (GLSCFB) bioreactor. GLSCFB bioreactors treat wastewater by removing nutrients biologically. The downer of a GLSCFB bioreactor provided experimental data on TKN, NH4-N, NO3-N, and TCOD removal. The hybrid optimal intelligence algorithm (BOA-SVR) has improved model accuracy across multiple domains by combining BOA and SVR. The coefficient of determination (R2), residual, mean absolute error (MAE), root mean square error (RMSE), and fractional bias (FB) were used to analyze BOA-SVR model performance. The models match experimental data from four operational stages well, with R2 or adj R2 values above 0.99 for all responses. The model's accuracy was confirmed by relative deviations and residual plots showing dispersion around the zero-reference line. The BOA-SVR model consistently predicted dependent variables with low RMSE and MAE values (≤ 2.24 and 2.21, respectively) and near-zero FB. Computing efficiency was shown by optimizing TCOD, TKN, NH4-N, and NO3-N models in 70.61, 72.89, 74.37, and 54.07 s. A rigorous test on unseen data with different noise levels confirmed the model's stability. Furthermore, BOA-SVR performs better than traditional multiple linear regression (MLR). Overall, the BOA-SVR model predicts biological nutrient removal in municipal wastewater utilizing a GLSCFB bioreactor quickly, correctly, and efficiently, reducing experimental stress and resource use.
本研究介绍了贝叶斯优化算法和支持向量回归(BOA-SVR)混合模型,用于预测气液固循环流化床(GLSCFB)生物反应器去除城市污水中好氧有机物(总化学需氧量,COD)和氮化合物(如凯氏氮(TKN)、铵态氮(NH4-N)和硝态氮(NO3-N)的情况。GLSCFB 生物反应器通过生物方式去除营养物质来处理废水。GLSCFB 生物反应器的沉降器提供了去除 TKN、NH4-N、NO3-N 和 TCOD 的实验数据。混合优化智能算法(BOA-SVR)通过结合 BOA 和 SVR,提高了模型在多个领域的准确性。确定系数 (R2)、残差、平均绝对误差 (MAE)、均方根误差 (RMSE) 和分数偏差 (FB) 被用来分析 BOA-SVR 模型的性能。模型与四个运行阶段的实验数据匹配良好,所有响应的 R2 或 adj R2 值均高于 0.99。相对偏差和残差图显示了零参考线附近的离散性,从而证实了模型的准确性。BOA-SVR 模型以较低的 RMSE 和 MAE 值(分别≤ 2.24 和 2.21)和接近零的 FB 值持续预测因变量。通过优化 TCOD、TKN、NH4-N 和 NO3-N 模型,计算效率分别为 70.61、72.89、74.37 和 54.07 s。此外,BOA-SVR 的表现优于传统的多元线性回归(MLR)。总之,BOA-SVR 模型可以快速、正确、高效地预测利用 GLSCFB 生物反应器的城市污水生物营养物去除率,从而减少实验压力和资源使用。
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引用次数: 0
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Digital Chemical Engineering
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