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Robust MPC design for multi-model infinite-dimensional distributed parameter systems 多模型无限维分布式参数系统的鲁棒 MPC 设计
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-10-07 DOI: 10.1016/j.jprocont.2024.103316
Lu Zhang , Junyao Xie , Charles Robert Koch , Stevan Dubljevic
Infinite-dimensional systems are essential for describing complex phenomena that exhibit continuous spatial and temporal variations. This article introduces a robust model predictive control (RMPC) design to regulate constrained multi-model infinite-dimensional systems governed by a class of hyperbolic/parabolic partial differential equations (PDEs). Model uncertainty stems from system parameters that are imprecisely determined, but can be quantitatively characterized within a certain range. The RMPC algorithm is designed in a discrete-time infinite-dimensional setting, achieved through the structure-preserving Cayley–Tustin transformation without model reduction nor spatial approximation. Robustness of the controller is ensured via constraining the future cost for each model dynamics accounting for uncertainty description. Properties of the closed-loop system are discussed, including feasibility, convergence, and asymptotic stability. The proposed controller is implemented by considering three typical infinite-dimensional distributed parameter process models, with simulation demonstrating the effectiveness and enhanced performance of the RMPC over the nominal model predictive controller.
无穷维系统对于描述时空连续变化的复杂现象至关重要。本文介绍了一种鲁棒模型预测控制(RMPC)设计,用于调节受一类双曲/抛物线偏微分方程(PDE)支配的受约束多模型无穷维系统。模型的不确定性源于系统参数的不精确确定,但可以在一定范围内定量表征。RMPC 算法是在离散时间无穷维环境下设计的,通过结构保留的 Cayley-Tustin 变换实现,无需模型缩减或空间近似。控制器的鲁棒性是通过约束每个模型动态的未来成本来确保的,同时考虑到不确定性描述。讨论了闭环系统的特性,包括可行性、收敛性和渐近稳定性。通过考虑三个典型的无穷维分布式参数过程模型,实现了所提出的控制器,仿真证明了 RMPC 的有效性以及比标称模型预测控制器更强的性能。
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引用次数: 0
Interval estimation of sensor fault in rotary steerable drilling tools based on set-membership approach 基于集合成员法的旋转转向钻具传感器故障间隔估计
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-10-03 DOI: 10.1016/j.jprocont.2024.103318
Weiliang Wang, Limao Zhu, Yanjia Su, Shuaishuai Huang, Yanfeng Geng
The rotary steerable drilling tools (RSDTs) are invented for high-precision wellpath control. Fault diagnosis is essential for the RSDT as it can improve the reliability of the drilling processes. To estimate the sensor fault of the RSDT, this paper investigates the interval estimation problem for Lipschitz nonlinear systems with sensor fault via the set-membership approach. Firstly, the RSDT is modeled by a discrete-time Lipschitz nonlinear system with unknown inputs, noises, and parameter uncertainties. Next, based on the ellipsoid bundles, a set-membership fault estimator is presented, where the unknown inputs are decoupled. Additionally, a sufficient condition, which is derived based on the P-radius of the ellipsoid bundles, is put forward to design the parameters of the estimator with Lipschitz nonlinear terms. Then, the interval estimations of the states and fault are obtained via ellipsoid bundles. Finally, the efficiency of the proposed approach is evaluated through numerical simulations and experiments.
旋转转向钻具(RSDT)是为实现高精度井道控制而发明的。故障诊断对 RSDT 至关重要,因为它可以提高钻井过程的可靠性。为了估计 RSDT 的传感器故障,本文通过集合成员法研究了带有传感器故障的 Lipschitz 非线性系统的区间估计问题。首先,将 RSDT 建模为离散时间 Lipschitz 非线性系统,该系统具有未知输入、噪声和参数不确定性。然后,基于椭球体束,提出了一种集成员故障估计器,其中未知输入是解耦的。此外,根据椭球体束的 P 半径,提出了一个充分条件,用于设计带有 Lipschitz 非线性项的估计器参数。然后,通过椭球体束获得状态和故障的区间估计。最后,通过数值模拟和实验评估了所提方法的效率。
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引用次数: 0
Study of parabolic trough collector with crucial analysis on controller and estimator with variable mirror efficiency 研究抛物面槽式集热器,并对具有可变镜面效率的控制器和估算器进行关键分析
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-10-01 DOI: 10.1016/j.jprocont.2024.103317
Dibyajyoti Baidya , Surender Kannaiyan , Neeraj Dhanraj Bokde
Solar Thermal Power (STP) plants are a crucial technology for converting solar energy into electricity. Among the STP, the Parabolic Trough Collector (PTC) is one of the integral parts of STP systems for electrical power generation. Maximizing PTC performance is a challenge due to dynamic and unpredictable solar radiation and environmental disturbances, such as cloud cover and dust accumulation. The optical efficiency parameter of the PTC is critical for calculating the desired heat gain, which is difficult to measure in real-time, necessitating sophisticated control and estimation strategies for optimal heat regulation. This study introduces two control mechanisms for the PTC system and comparing their efficacy. A classical PI controller supplemented by Static Feed-Forward (SFF) control demonstrates improved performance with an optimal transfer function model. In contrast, Nonlinear Model Predictive Control (NMPC) excels in disturbance rejection and setpoint tracking, considering operational constraints. The NMPC controller notably outperforms the PI controller with SFF in performance metrics, with the Integral Time Squared Error (ITSE) decreasing by approximately 99% across case studies. Also, in the case of heat gain, NMPC controller exhibits percentage increases when compared to the PI controller. Furthermore, since the measurement of optical efficiency is essential, but due to difficulty in the measurement for various reasons, the estimator is used as a virtual sensor to estimate those optical efficiency. The unmeasured states and parameters, including optical efficiencies of the PTC, are estimated using Extended Kalman Filter (EKF) and Unscented Kalman Filter (UKF) techniques, with UKF exhibiting superior accuracy. However, considering the average computation time, EKF is preferred for real-time applications.
太阳能热发电厂(STP)是将太阳能转化为电能的关键技术。在 STP 中,抛物面槽式集热器(PTC)是 STP 发电系统不可或缺的组成部分之一。由于太阳辐射和环境干扰(如云层和灰尘积聚)的动态性和不可预测性,最大限度地提高抛物槽式集热器的性能是一项挑战。PTC 的光学效率参数对于计算所需的热增益至关重要,但这一参数很难实时测量,因此需要采用复杂的控制和估算策略来实现最佳热调节。本研究为 PTC 系统引入了两种控制机制,并比较了它们的功效。传统的 PI 控制器辅以静态前馈(SFF)控制,在最佳传递函数模型下表现出更高的性能。相比之下,非线性模型预测控制(NMPC)在干扰抑制和设定点跟踪方面表现出色,同时还考虑到了运行约束条件。在性能指标上,NMPC 控制器明显优于带 SFF 的 PI 控制器,其积分时间平方误差(ITSE)在所有案例研究中都降低了约 99%。此外,与 PI 控制器相比,NMPC 控制器在热增益方面的百分比也有所提高。此外,由于光学效率的测量非常重要,但由于各种原因难以测量,因此使用估算器作为虚拟传感器来估算光学效率。未测量的状态和参数,包括 PTC 的光学效率,使用扩展卡尔曼滤波器(EKF)和无符号卡尔曼滤波器(UKF)技术进行估计,其中 UKF 的精度更高。不过,考虑到平均计算时间,EKF 更适合实时应用。
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引用次数: 0
Closed-loop training of static output feedback neural network controllers for large systems: A distillation case study 大型系统静态输出反馈神经网络控制器的闭环训练:蒸馏案例研究
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-21 DOI: 10.1016/j.jprocont.2024.103302
Evren Mert Turan, Johannes Jäschke

The online implementation of model predictive control has two main disadvantages: it requires an estimate of the entire model state and an optimisation problem must be solved online. These issues have typically been treated separately. This work proposes an integrated approach for the offline training of an output feedback neural network controller in closed-loop. As the training is performed offline, the neural network can be efficiently evaluated online to find control actions given noisy measurements as inputs. In addition, as the controller is trained in closed loop we are able to train for robustness to uncertainty and also design the controller to only use a selection of measurements. The choice of measurements can greatly change the controller performance and robustness. We demonstrate that although measurements can be automatically selected by regularisation, choosing measurements based on engineering judgement is an effective alternative. The proposed method is demonstrated by extensive simulations using a non-linear distillation column model of 50 states. We show that a controller using only 4 measurements is able to control the system with a decrease in performance of only 15% compared to MPC with perfect state feedback.

模型预测控制的在线实施有两个主要缺点:一是需要对整个模型状态进行估计,二是必须在线解决优化问题。这些问题通常被分开处理。本研究提出了一种离线训练闭环输出反馈神经网络控制器的综合方法。由于训练是在离线状态下进行的,因此可以对神经网络进行有效的在线评估,以便在输入噪声测量值的情况下找到控制动作。此外,由于控制器是在闭环中进行训练的,因此我们可以训练控制器对不确定性的鲁棒性,还可以设计控制器只使用选定的测量值。测量值的选择会极大地改变控制器的性能和鲁棒性。我们证明,虽然可以通过正则化自动选择测量值,但根据工程判断选择测量值也是一种有效的替代方法。我们使用一个包含 50 个状态的非线性蒸馏塔模型进行了大量仿真,证明了所提出的方法。我们发现,与具有完美状态反馈的 MPC 相比,仅使用 4 个测量值的控制器就能对系统进行控制,而性能只降低了 15%。
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引用次数: 0
A survey and experimental study for embedding-aware generative models: Features, models, and any-shot scenarios 嵌入式感知生成模型的调查和实验研究:特征、模型和任意拍摄场景
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-21 DOI: 10.1016/j.jprocont.2024.103297
Jiaqi Yue, Jiancheng Zhao, Liangjun Feng, Chunhui Zhao

In the era of industrial artificial intelligence, grappling with data insufficiency remains a formidable challenge that stands at the forefront of our progress. The embedding-aware generative model emerges as a promising solution, tackling this issue head-on in the realm of zero-shot learning by ingeniously constructing a generator that bridges the gap between semantic and feature spaces. Thanks to the predefined benchmark and protocols, the number of proposed embedding-aware generative models for zero-shot learning is increasing rapidly. We argue that it is time to take a step back and reconsider the embedding-aware generative paradigm. The main work of this paper is two-fold. First, embedding features in benchmark datasets are somehow overlooked, which potentially limits the performance of generative models, while most researchers focus on how to improve them. Therefore, we conduct a systematic evaluation of 10 representative embedding-aware generative models and prove that even simple representation modifications on the embedding features can improve the performance of generative models for zero-shot learning remarkably. So it is time to pay more attention to the current embedding features in benchmark datasets. Second, based on five benchmark datasets, each with six any-shot learning scenarios, we systematically compare the performance of ten typical embedding-aware generative models for the first time, and we give a strong baseline for zero-shot learning and few-shot learning. Meanwhile, a comprehensive generative model repository, namely, generative any-shot learning repository, is provided, which contains the models, features, parameters, and scenarios of embedding-aware generative models for zero-shot learning and few-shot learning. Any results in this paper can be readily reproduced with only one command line based on generative any-shot learning.

在工业人工智能时代,解决数据不足的问题仍然是我们前进道路上的一项艰巨挑战。嵌入式感知生成模型是一种很有前途的解决方案,它通过巧妙地构建一种生成器,在语义空间和特征空间之间架起了一座桥梁,从而在零点学习领域迎头解决了这一问题。得益于预定义的基准和协议,针对零点学习提出的嵌入感知生成模型的数量正在迅速增加。我们认为,现在是退一步重新考虑嵌入感知生成模型的时候了。本文的主要工作有两方面。首先,基准数据集中的嵌入特征在某种程度上被忽视了,这可能会限制生成模型的性能,而大多数研究人员则专注于如何改进生成模型。因此,我们对 10 个具有代表性的嵌入感知生成模型进行了系统评估,证明即使对嵌入特征进行简单的表示修改,也能显著提高生成模型的零点学习性能。因此,是时候对基准数据集中的当前嵌入特征给予更多关注了。其次,基于五个基准数据集,每个数据集有六种任意拍摄学习场景,我们首次系统地比较了十种典型的嵌入感知生成模型的性能,并给出了零拍摄学习和少拍摄学习的有力基准。同时,我们还提供了一个全面的生成模型库,即任意拍摄学习生成模型库,其中包含零拍摄学习和少拍摄学习的嵌入感知生成模型的模型、特征、参数和场景。本文中的任何结果都可以在任意生成学习的基础上通过一条命令行轻松重现。
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引用次数: 0
Physics-informed neural networks for multi-stage Koopman modeling of microbial fermentation processes 用于微生物发酵过程多级库普曼建模的物理信息神经网络
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-19 DOI: 10.1016/j.jprocont.2024.103315
Quan Li, Jingran Zhang, Haiying Wan, Zhonggai Zhao, Fei Liu

This paper investigates the modeling problem of microbial fermentation suitable for model-based control design techniques. Given the evident nonlinear and stage characteristics of microbial fermentation processes, a single data-driven model cannot fully capture microbial growth characteristics. Therefore, we propose a multi-stage Koopman modeling method based on physics-informed neural networks. Initially, the fuzzy C-means clustering algorithm is employed to partition the microbial growth stages. Subsequently, the Koopman operator is approximated through physics-informed neural networks. Utilizing the Koopman operator to map the dynamic behavior of the microbial fermentation system into a high-dimensional linear space, and modeling each growth stage separately in the linear space. Compared to conventional neural network methods, physics-informed neural networks integrate the advantages of physical models and neural networks, thereby better preserving the dynamic information of microbial growth and enhancing the model’s generalization performance. A penicillin fermentation case study verifies the effectiveness of our proposed method.

本文研究了适合基于模型的控制设计技术的微生物发酵建模问题。鉴于微生物发酵过程具有明显的非线性和阶段性特征,单一的数据驱动模型无法完全捕捉微生物的生长特征。因此,我们提出了一种基于物理信息神经网络的多阶段 Koopman 建模方法。首先,采用模糊 C-means 聚类算法对微生物生长阶段进行划分。随后,通过物理信息神经网络逼近库普曼算子。利用库普曼算子将微生物发酵系统的动态行为映射到高维线性空间中,并在线性空间中对每个生长阶段分别建模。与传统的神经网络方法相比,物理信息神经网络综合了物理模型和神经网络的优势,从而更好地保留了微生物生长的动态信息,提高了模型的泛化性能。青霉素发酵案例研究验证了我们提出的方法的有效性。
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引用次数: 0
Image based Modeling and Control for Batch Processes 基于图像的批处理建模和控制
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-16 DOI: 10.1016/j.jprocont.2024.103314
Aswin Chandrasekar, Kevork Baghdassarian, Farshad Moayedi, Hassan Abdulhussain, Vladimir Gritsichine, Michael R. Thompson, Prashant Mhaskar

This manuscript addresses the problem of leveraging thermal images for modeling and feedback control, specifically tailored for terminal quality control of batch processes. The primary objective, common in many batch processes, is to produce products with quality variables aligning with user specifications, available for measurement only at batch termination, precluding the direct use of classical control strategies. Furthermore, in many instances, traditional online sensors such as thermocouples may not be available, but instead spectral inputs like thermal images or acoustic data may be more readily available for feedback control. The challenge is to not only use the non-traditional sensor data for building a dynamic model but also to use that model for terminal quality control. The proposed approach involves a multi-layered modeling strategy. Initially, a dimensionality reduction technique is employed to condense the high-dimensional image into a set of representative outputs. Subsequently, subspace identification (SSID) is applied to develop a Linear Time-Invariant (LTI) State Space (SS) model between the inputs and the reduced outputs. Finally, a Partial Least Squares (PLS) model is constructed linking the terminal states of a batch (identified using SSID) with the product qualities obtained for that specific batch. This model is then incorporated into a Model Predictive Control (MPC) formulation. The effectiveness of the MPC is illustrated by showcasing its capability to generate products of high quality by deploying the MPC on a bi-axial lab-scale rotational molding setup.

本手稿探讨了利用热图像进行建模和反馈控制的问题,特别适用于批量流程的终端质量控制。许多批量制程的共同主要目标是生产出质量变量符合用户规格的产品,但只有在批量制程结束时才能进行测量,因此无法直接使用传统的控制策略。此外,在许多情况下,传统的在线传感器(如热电偶)可能无法使用,而热图像或声学数据等光谱输入可能更容易用于反馈控制。我们面临的挑战是,不仅要利用非传统传感器数据建立动态模型,还要利用该模型进行终端质量控制。所提出的方法涉及多层建模策略。首先,采用降维技术将高维图像压缩成一组有代表性的输出。随后,应用子空间识别(SSID)技术,在输入和缩减后的输出之间建立线性时不变(LTI)状态空间(SS)模型。最后,建立一个偏最小二乘法(PLS)模型,将批次的终端状态(使用 SSID 识别)与该特定批次获得的产品质量联系起来。然后将该模型纳入模型预测控制(MPC)公式中。通过在实验室双轴旋转成型装置上部署 MPC,展示其生成高质量产品的能力,从而说明 MPC 的有效性。
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引用次数: 0
Pruned tree-structured temporal convolutional networks for quality variable prediction of industrial process 用于工业过程质量变量预测的剪枝树状结构时空卷积网络
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-08 DOI: 10.1016/j.jprocont.2024.103312
Changqing Yuan, Yongfang Xie, Shiwen Xie, Jie Wang

In real industrial processes, the rapid and accurate acquisition of quality variables is essential. Therefore, this paper proposes a pruned tree-structured temporal convolutional network (PT-TCN) for efficient and accurate variables prediction. First, a novel tree network is developed, utilizing dilated causal convolution blocks as nodes to avoid the loss of local information. Each node extracts distinct local information, and by concatenating all tree nodes, the network can capture a comprehensive range of temporal scales. Then, to avoid the increased complexity caused by the tree structure, we design an online two-stage pruning strategy to compress the tree network without introducing additional computations. During the training process, blocks are initially pruned based on the correlation assessment between quality variables and tree nodes. Subsequently, weight normalization layers are employed to evaluate the importance of output channels in blocks, thereby enabling intra-block channel pruning. The effectiveness of PT-TCN is verified on Tennessee Eastman benchmark process. In addition, experiments on the real zinc flotation process demonstrate that the proposed PT-TCN improves in R2 and MAE by 1.32% and 1.26% respectively in predicting quality variables, and it can reduce 91.8% parameters of the initial tree-structured TCN without sacrificing accuracy.

在实际工业流程中,快速准确地获取质量变量至关重要。因此,本文提出了一种剪枝树状结构时空卷积网络(PT-TCN),用于高效、准确地预测变量。首先,本文开发了一种新颖的树状网络,利用扩张的因果卷积块作为节点,以避免局部信息的丢失。每个节点都能提取独特的局部信息,通过串联所有树节点,该网络可以捕捉到全面的时间尺度范围。然后,为了避免树状结构带来的复杂性增加,我们设计了一种在线两阶段剪枝策略,在不引入额外计算的情况下压缩树状网络。在训练过程中,首先根据质量变量与树节点之间的相关性评估对块进行剪枝。随后,采用权重归一化层来评估块中输出通道的重要性,从而实现块内通道的剪枝。PT-TCN 的有效性在田纳西州伊士曼基准流程上得到了验证。此外,在真实的锌浮选过程中进行的实验表明,在预测质量变量方面,所提出的 PT-TCN 的 R2 和 MAE 分别提高了 1.32% 和 1.26%,并且在不牺牲准确性的情况下,可以减少初始树形结构 TCN 91.8% 的参数。
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引用次数: 0
Multi-view graph convolutional network with comprehensive structural learning: Enhancing dynamics representation for industrial processes 具有综合结构学习能力的多视图卷积网络:增强工业流程的动态表示
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-07 DOI: 10.1016/j.jprocont.2024.103301
Tianhao Mou , Jinfeng Liu , Yuanyuan Zou , Shaoyuan Li

Quality variable prediction is crucial for improving product quality and ensuring safety for industrial processes. Recently, researchers have explored the application of graph neural networks (GNNs) for this task, leveraging process knowledge encoded in graphs. GNN-based methods have demonstrated high prediction accuracy and partial interpretability. However, these methods typically consider only one type of prior graph and fail to utilize the multi-view prior graphs that coexist in the same process. This knowledge bias prevents effective representation learning about process dynamics, leading to inconsistencies with true process dynamics and overfitting. Thus. their practical applications are limited, especially under scenarios of limited data availability. To address this, a multi-view graph convolutional network with information short (MVGCN-IS) framework is proposed. MVGCN-IS comprises three key components: multi-view graph utilization, multi-view graph fusion, and information shortcut. First, multi-view prior graphs are integrated through multiple pre-trained preliminary GCNs to extract view-specific node representations. Then, a multi-view fusion module aggregates node representations from different views into unified unit representations, capturing comprehensive process structural information. Finally, an information shortcut extracts measurement representations and integrates detailed process measurement data to further enhance model performance. The proposed MVGCN-IS framework is validated on a benzene alkylation process and a debutanizer column process, with a special focus on model reliability under small data scenarios. Experimental results demonstrate the superior prediction accuracy and improved reliability of MVGCN-IS, validating its effectiveness in representation learning and capturing process dynamics.

质量变量预测对于提高产品质量和确保工业流程安全至关重要。最近,研究人员利用图中编码的过程知识,探索了图神经网络(GNN)在这一任务中的应用。基于 GNN 的方法已证明具有较高的预测准确性和部分可解释性。然而,这些方法通常只考虑一种先验图,而未能利用同一流程中并存的多视角先验图。这种知识偏差阻碍了对流程动态的有效表征学习,导致与真实流程动态不一致和过度拟合。因此,它们的实际应用受到了限制,尤其是在数据可用性有限的情况下。为了解决这个问题,我们提出了一个多视图卷积网络与信息短路(MVGCN-IS)框架。MVGCN-IS 包括三个关键部分:多视图利用、多视图融合和信息捷径。首先,多视图先验图通过多个预训练的初步 GCN 进行整合,以提取特定视图的节点表示。然后,多视图融合模块将来自不同视图的节点表示聚合为统一的单元表示,从而捕捉到全面的流程结构信息。最后,信息捷径提取测量表示并整合详细的过程测量数据,以进一步提高模型性能。提议的 MVGCN-IS 框架在苯烷基化过程和脱utanizer 塔过程中进行了验证,特别关注了小数据情况下模型的可靠性。实验结果表明,MVGCN-IS 具有出色的预测准确性和更高的可靠性,验证了其在表征学习和捕捉过程动态方面的有效性。
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引用次数: 0
Low-carbon economic operation strategy for a multi-microgrid system considering internal carbon pricing and emission monitoring 考虑内部碳定价和排放监测的多微网系统低碳经济运行策略
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-09-06 DOI: 10.1016/j.jprocont.2024.103313
Ying Wang , Junxiang Li , Deqiang Qu , Xi Wang

With gradual deepening of a low-carbon transition of energy, the application of the multi-microgrid system (MMS) is becoming more and more popular. The internal carbon pricing mechanism is a key issue in realizing low carbon of the MMS. In order to fully utilize the advantages of energy mutual benefit and collaborative optimization, a real-time carbon trading model with cost minimization is established in the day-ahead market, in which the shadow price is taken as the optimal internal carbon price and the proposed distributed algorithm protects microgrids’ privacy. Furthermore, for the purpose of amending the deviation of carbon emission between the actual and target values, we design an automated process control (APC) strategy to adjust the real-time carbon price. And then a dual-objective problem is portrayed that balances cost and carbon emission deviation minimization in the intra-day market, and it is transformed into a single-objective constrained problem to be solved. Total cost and carbon emission decrease by 4.03% and 6.17% respectively in the solution. The results show that the proposed models have great performance of cost savings and carbon reduction for the MMS.

随着能源低碳转型的逐步深入,多微网系统(MMS)的应用越来越普及。内部碳定价机制是多微网系统实现低碳的关键问题。为了充分发挥能源互利和协同优化的优势,本文在日前市场建立了成本最小化的实时碳交易模型,将影子价格作为最优内部碳价格,并提出了保护微电网隐私的分布式算法。此外,为了修正碳排放实际值与目标值之间的偏差,我们设计了一种自动过程控制(APC)策略来调整实时碳价。然后,在日内市场中平衡成本和碳排放偏差最小化的双目标问题被刻画出来,并转化为单目标约束问题加以解决。在求解过程中,总成本和碳排放量分别降低了 4.03% 和 6.17%。结果表明,所提出的模型在为 MMS 节省成本和减少碳排放方面表现出色。
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引用次数: 0
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Journal of Process Control
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