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Graphical tuning method of PID controller for systems with uncertain parameters based on affine algorithm

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 2024年第18期34卷 12207-12222页

作者： Chu, Minghui Nanyang Inst Technol Sch Intelligent Mfg 80 Changjiang Rd Nanyang Henan Peoples R China

For systems with uncertain parameters, it is very important to find a controller that can satisfy the preset robustness. The traditional method often ignores the influence of parameter coupling on the set boundary system when substituting the original system with the boundary system group, resulting in the calculated controller value region being too conservative. In this article, noise information is introduced based on affine algorithm to describe uncertain system parameters. Then, based on Kharitonov theorem, a new grouping method for boundary systems is proposed. This method takes the parameter coupling information into account when determining the boundary system, and avoids the problem of interval conservation. On this basis, a virtual phase margin tester is introduced to ensure that the obtained controller parameter range can make the system meet the specific robustness requirements. The results obtained in this article are general and strictly proved. Finally, examples are provided to illustrate the design process and verify the feasibility and efficacy of the proposed approach.

关键词： affine algorithm boundary system robustness uncertain parameters

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Improved affine encryption algorithm for color images using LFSR and XOR encryption

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MULTIMEDIA TOOLS AND APPLICATIONS 2023年第5期82卷 7621-7637页

作者： Ihsan, Aysegul Dogan, Nurettin Selcuk Univ Dept Informat Technol Engn Grad Sch Nat & Appl Sci Alaeddin Keykubat Campus TR-42075 Konya Turkey Selcuk Univ Dept Comp Engn Fac Technol Alaeddin Keykubat Campus TR-42075 Konya Turkey

In this study, a novel Improved affine algorithm (IAA) for color image encryption is proposed. affine algorithm (AA) is generally known as an algorithm used for plain text encryption. In the proposed IAA algorithm, Linear Feedback Shift Register (LFSR), XOR encryption, and the AA are combined for color images encryption. The plane image is firstly split into three channels: R, G, and B. The RGB channel image is encrypted using AA encryption with ten keys based on pixel locations and pixel values. The rows and columns of the image are encrypted with LFSR keys and XOR encryption procedures. Finally, the proposed algorithm is tested in Matlab environment to obtain the Histogram, Mean Square Error (MSE), Peak Signal to Noise Ratio (PSNR), Unified Average Changing Intensity (UACI), Number of Pixel Change Rate (NPCR), and Entropy analyses. The values are compared with other algorithms. The results show that the proposed image encryption algorithm is secure and powerful, outperforming other algorithms.

关键词： affine algorithm Image encryption Linear feedback shift register XOR encryption

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Calculation and Analysis of the Interval Power Flow for Distributed Energy System Based on affine algorithm

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ENERGIES 2021年第3期14卷

作者： Ouyang, Bin Qu, Lu Liu, Qiyang Tian, Baoye Yuan, Zhichang Guo, Peiqian Dai, Hongyi He, Weikun Tsinghua Univ Dept Elect Engineer Beijing 100084 Peoples R China State Grid Zhangzhou Elect Power Supply Co Zhangzhou 363300 Peoples R China Tsinghua Towngas Joint Res Ctr Reg Comprehens Ene Beijing 100084 Peoples R China CSG State Key Lab HVDC Elect Power Res Inst Guangzhou 510663 Peoples R China

Due to the coupling of different energy systems, optimization of different energy complementarities, and the realization of the highest overall energy utilization rate and environmental friendliness of the energy system, distributed energy system has become an important way to build a clean and low-carbon energy system. However, the complex topological structure of the system and too many coupling devices bring more uncertain factors to the system which the calculation of the interval power flow of distributed energy system becomes the key problem to be solved urgently. affine power flow calculation is considered as an important solution to solve uncertain steady power flow problems. In this paper, the distributed energy system coupled with cold, heat, and electricity is taken as the research object, the influence of different uncertain factors such as photovoltaic and wind power output is comprehensively considered, and affine algorithm is adopted to calculate the system power flow of the distributed energy system under high and low load conditions. The results show that the system has larger operating space, more stable bus voltage and more flexible pipeline flow under low load condition than under high load condition. The calculation results of the interval power flow of distributed energy systems can provide theoretical basis and data support for the stability analysis and optimal operation of distributed energy systems.

关键词： distributed energy systems affine algorithm interval power flow cold-heat-electricity-coupling different energy systems

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affine algorithm for Multi-energy Flow Calculation in Integrated Energy System with Consideration of Uncertainty

Affine Algorithm for Multi-energy Flow Calculation in Integr...

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IEEE-Power-and-Energy-Society General Meeting (PESGM)

作者： Wang, Shouxiang Liu, Kefan Meng, Zihan Tianjin Univ Minist Educ Key Lab Smart Grid Tianjin 300072 Peoples R China

ISBN: (纸本)9781728119816

With the popularization of heat network and application of Combined Heat and Power (CHP) units, the coupling between power system and thermodynamic system becomes deeper and deeper. With the increasing penetration of intermittent distributed generations (DGs) and continuous fluctuation of power loads and heat loads, uncertainty analysis is needed to study the possible variation interval of the operation state of integrated energy system. In this paper, the models of power system, district heating network and coupling components are built firstly. Then, the affine algorithm is introduced into multi-energy flow analysis to deal with uncertain factors including load fluctuation and DG output. Finally, the case study proves that the affine algorithm for multi-energy flow calculation can calculate the lower and upper bounds of state variables of integrated energy system under uncertainty, which include the pipe mass flow rates in district heating network and the bus voltages in power system.

关键词： integrated energy system multi-energy flow uncertainty affine algorithm

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Voltage Regulation Service Pricing in Cyber-Physical Distribution Networks With Multi-Dimensional Meteorological Uncertainties

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IEEE TRANSACTIONS ON NETWORK SCIENCE AND ENGINEERING 2025年第2期12卷 710-726页

作者： Wei, Zhaobin Huang, Zhenyu Tang, Zhiyuan Chen, Huiming Zuo, Xianwang Li, Haotang Liu, Haoqiang Liu, Jichun Borghetti, Alberto Sichuan Univ Dept Elect Engn Chengdu 610065 Peoples R China Univ Sci & Technol Beijing Sch Intelligence Sci & Technol Beijing 100085 Peoples R China Chongqing Univ Dept Elect Engn Chongqing 400044 Peoples R China Univ Bologna Dept Elect Elect & Informat Engn I-40126 Bologna Italy Univ Sci & Technol Beijing Sch Comp & Commun Engn Beijing 100083 Peoples R China

Uncertainties of distributed renewable energy and load demand induced by meteorological factors pose a significant challenge to the voltage quality of the distribution network. This paper addresses this issue from a cyber-physical perspective, by proposing a novel voltage regulation (VR) service pricing for the distribution network. Specifically, an improved nonparametric kernel density estimation method characterized by adaptive variable bandwidth is proposed to measure the coupling among different meteorological factors. The intervals of photovoltaic power and air-conditioning load are defined by a novel affine algorithm with high performance, integrated with mandatory boundary and space approximation techniques. The distribution-level VR market is based on an affiliated layered communication architecture characterized by cloud-edge-terminal collaboration and message queue telemetry transport protocol. A grid-aware voltage regulation interval optimization model is proposed to determine the voltage regulation service price through an electrical distance-based rule. Case studies show that the proposed price can significantly facilitate robust VR decisions, promote the voltage-friendly behavior of VR service providers, and reduce the VR cost by about 20.96% compared to the currently adopted pricing mechanisms.

关键词： Uncertainty Voltage control Pricing Distribution networks Meteorological factors Accuracy Renewable energy sources Costs Servers Probabilistic logic Voltage regulation (VR) service pricing cyber-physical distribution network meteorological factor coupling affine algorithm

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Efficient Inverse Method for Structural Identification Considering Modeling and Response Uncertainties

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Chinese Journal of Mechanical Engineering 2022年第5期35卷 150-161页

作者： Lixiong Cao Jie Liu Cheng Lu Wei Wang State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body College of Mechanical and Vehicle EngineeringHunan UniversityChangsha 410082China

The inverse problem analysis method provides an effective way for the structural parameter ***,uncertainties wildly exist in the practical engineering inverse *** to the coupling of multi-source uncertainties in the measured responses and the modeling parameters,the traditional inverse method under the deterministic framework faces the challenges in solving mechanism and computing *** this paper,an uncertain inverse method based on convex model and dimension reduction decomposition is proposed to realize the interval identification of unknown structural parameters according to the uncertain measured responses and modeling ***,the polygonal convex set model is established to quantify the epistemic uncertainties of modeling ***,a space collocation method based on dimension reduction decomposition is proposed to transform the inverse problem considering multi-source uncertainties into a few interval inverse problems considering response *** transformed interval inverse problem involves the two-layer solving process including interval propagation and optimization *** order to solve the interval inverse problems considering response uncertainty,an efficient interval inverse method based on the high dimensional model representation and affine algorithm is further *** the coupling of the above two strategies,the proposed uncertain inverse method avoids the time-consuming multi-layer nested calculation procedure,and then effectively realizes the uncertainty identification of unknown structural ***,two engineering examples are provided to verify the effectiveness of the proposed uncertain inverse method.

关键词： Inverse problem Uncertainty quantification Dimension reduction decomposition Polygonal convex set affine algorithm

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Multi-objective optimal allocation of distributed generations under uncertainty based on D-S evidence theory and affine arithmetic

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INTERNATIONAL JOURNAL OF ELECTRICAL POWER & ENERGY SYSTEMS 2019年 112卷 70-82页

作者： Zhao, Qianyu Wang, Shouxiang Wang, Kai Huang, Bibin Tianjin Univ Minist Educ Key Lab Smart Grid Weijin Rd 92 Tianjin 300072 Peoples R China State Grid Energy Res Inst Beijing 100052 Peoples R China

Many efforts on distributed generation (DG) allocation are based on deterministic methods in previous studies. However, the influence of stochastic fluctuation characteristics of DGs and loads is enormous. Therefore, affine arithmetic (AA) is used to represent the uncertainty, and a multi-objective uncertainty optimization model for DG allocation with minimum investment cost, highest income, lowest environmental cost, and minimal network loss is built in this paper. Then multi-objective interval decision-making and bi-layer optimization method based on D-S evidence theory (ET) and genetic algorithm (GA) is proposed to achieve the optimal allocation of DGs. In the proposed method, GA is used as an outer layer optimization for multi-point searches to generate different allocation schemes. Moreover, the ET method is employed as the inner layer to evaluate the candidate allocation schemes which from the outer layer optimization. Also, the ET method guides the evolution direction of GA in the outer layer. For validating the effectiveness and performance, the proposed method is applied to a typical 33 bus distribution system. The comparison with the existing TOPSIS method demonstrates the advantages when handling the uncertainty of the proposed method and achieves a more robust optimal solution.

关键词： affine algorithm Distributed generation allocation Evidence theory Multi-objective optimization Interval uncertainty

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affine algorithms for the split variational inequality and equilibrium problems

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FIXED POINT THEORY AND APPLICATIONS 2013年第1期2013卷 1-15页

作者： Yao, Yonghong Chen, Rudong Liou, Yeong-Cheng Tianjin Polytech Univ Dept Math Tianjin 300387 Peoples R China Cheng Shiu Univ Dept Informat Management Kaohsiung 833 Taiwan

An affine algorithm for the split variational inequality and equilibrium problems is presented. Strong convergence result is given.

关键词： affine algorithm split method variational inequality equilibrium problem

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