Chao Charles Liu;Chi K. Tse;Meng Huang;Cong Luo;Zhenxi Wu;Hua Han;Jingxi Yang
{"title":"Effects of Network Parameters on Large-Signal Interaction Between Grid-Forming and Grid-Following Converters","authors":"Chao Charles Liu;Chi K. Tse;Meng Huang;Cong Luo;Zhenxi Wu;Hua Han;Jingxi Yang","doi":"10.1109/TPWRS.2026.3654081","DOIUrl":"10.1109/TPWRS.2026.3654081","url":null,"abstract":"Power electronics converters connected to power grids can exhibit distinct synchronization behavior due to their diverse control methods. This diversity leads to complex interaction between multiple grid-connected converters. Although some recent studies have assessed the synchronization stability of two-converter systems, they primarily focus on the effects of controller parameters and often yield results similar to those observed in single-converter systems. In this paper, we reveal the non-trivial effects of network parameters on the interaction of grid-forming and grid-following converters. Recognizing the power grid as an essential part of interaction, we consider a star network comprising two converters and the grid. We derive two specific models corresponding to scenarios with distinct relative electrical distances. Using these models, we reveal that the grid-following converter can synchronize with the grid-forming converter or the grid. We identify two primary types of sub-synchronous oscillations as a practical effect of the two interaction modes. To elucidate the evolvement of the interaction modes, we analyze the bifurcation behavior of the system as network characteristics vary. The results underline the crucial role of the network in shaping the converter interaction. We validate the findings through numerical trajectories and full-circuit simulation.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"3121-3133"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145972036","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Identifying Integer-Variable-Induced Disjointness Within Security Region Considering Unit Commitment Adjustments","authors":"Zhirou Wang;Zhengshuo Li;Tao Niu;Lin Xue","doi":"10.1109/TPWRS.2026.3681482","DOIUrl":"https://doi.org/10.1109/TPWRS.2026.3681482","url":null,"abstract":"The security region (SR) is an effective tool for assessing power system operational feasibility and security. However, frequent on/off adjustments of quick-start units in near real-time scale can break the fixed unit commitment assumption of traditional SR, leading to disjoint subregions and internal infeasible gaps. To address this, this letter proposes an iterative infeasible subregion identification approach, which integrates a two-stage optimization model with Farkas-lemma-based local exclusion cuts to iteratively detect and exclude infeasible subregions. Logical exclusion constraints are incorporated into subsequent iterations to prevent redundant searches until all disjoint regions are captured. Numerical studies demonstrate the method’s effectiveness, precisely identifying internal infeasible regions, which occupy up to 12% of the convex relaxation in some cases, supporting secure and flexible operation.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"3226-3229"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"148442567","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interaction Assessment of Converter-Interfaced Power Systems Using Proximal Eigenvalue Displacement Approach","authors":"Lokesh Dewangan;Francesco Giacomo Puricelli;Jef Beerten","doi":"10.1109/TPWRS.2025.3647749","DOIUrl":"10.1109/TPWRS.2025.3647749","url":null,"abstract":"With the growing integration of converter-interfaced generating units in power systems, interactions between converters and grids have been observed across both low and high-frequency ranges, resulting from the diverse dynamics of these converters. Moreover, incorporating the complex dynamic model of converters, which involves a large number of state variables, increases the computational burden when using conventional methods to identify unstable and interaction modes. These modes are also influenced by the parameters of both converters and networks, necessitating numerous time-consuming re-computations of all eigenvalues for parametric variation analysis in large power systems. To address these challenges, this paper proposes a method that utilizes closely located open-loop modes and their displacement from open-loop to closed-loop modes to selectively identify interaction modes within power systems. The proposed method leverages the open-loop subsystem eigenvalues and the interconnections between state variables of different subsystems to determine the closed-loop eigenvalue using a second-order eigenvalue approximation, thereby avoiding the need for the calculation of all eigenvalues of the entire system. The interaction information is then used to obtain a reduced-order eigenvector approximation to improve the computation time as compared to the full-order system. The identified interaction modes and corresponding computation time using the proposed method are compared with the traditional modal participation method. The proposed method provides an efficient approach to identifying interactions between converters and the power system.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"2454-2467"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145955418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Linear Relaxation-Based Robust Interval State Estimation for Low Voltage Networks With Photovoltaic and Measurement Uncertainties","authors":"Suntao Su;Gang Cheng;Junbo Zhao","doi":"10.1109/TPWRS.2026.3653838","DOIUrl":"10.1109/TPWRS.2026.3653838","url":null,"abstract":"Distribution system state estimation (DSSE) poses significant challenges for low voltage (LV) networks due to the uncertainties of distributed generations and measurements. While interval state estimation (ISE) is developed to address them, the existing ISE methods face two significant challenges: i) the non-convex nature of nonlinear ISE can lead to convergence issues and lack guaranteed optimality, ii) they do not adequately address robustness against bad data. This paper proposes a linear relaxation-based robust ISE method for LV networks. First, a three-phase unbalanced nonlinear interval measurement model is formulated to minimize and maximize state variables subject to measurement uncertainty constraints. Then, the non-convex nonlinear ISE model is relaxed to a linear optimization problem by introducing the McCormick enclosures of the bilinear terms, enabling efficient solutions while ensuring approximate global optimality. Inspired by sparse state recovery optimization method, an <inline-formula><tex-math>$L_{1}$</tex-math></inline-formula>-norm is proposed to suppress sparse bad data in the measurements. The optimality-based bound tightening (OBBT) algorithm is also developed to determine near-global solutions. Numerical results on two realistic LV networks demonstrate the advantages of the proposed robust ISE method compared to the existing ISE approaches.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"2799-2811"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145972038","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Zijian Wang;Ziwen Gu;Josep M. Guerrero;Yatao Shen;Ziwen Guo;Zhiming Deng;Chun Huang;Zhengmao Li
{"title":"Two-Period Two-Layer Electrical Model-Free Voltage Calculation for Active Distribution Network via Improved Broad Learning System","authors":"Zijian Wang;Ziwen Gu;Josep M. Guerrero;Yatao Shen;Ziwen Guo;Zhiming Deng;Chun Huang;Zhengmao Li","doi":"10.1109/TPWRS.2026.3656135","DOIUrl":"10.1109/TPWRS.2026.3656135","url":null,"abstract":"Due to the lack of topology and line parameters, traditional voltage calculation methods based on power flow analysis in low-voltage active distribution networks are difficult to apply. Further, existing electrical model-free voltage calculation methods often exhibit unstable and inaccurate results during regulation, particularly when faced with imbalanced datasets. To address those issues, an electrical model-free voltage calculation method for a low-voltage active distribution network is proposed in this paper, which integrates a two-period two-layer scheme with an improved broad learning system. First, by integrating physical models with data analysis, the calculation process is divided into a) a photovoltaic generation period and b) a non-photovoltaic generation period. Then, they are further decomposed into a base operation layer and a regulation increment layer. Further, by extracting dynamic inner latent variables from the raw dataset, high-quality data with dynamic features is provided for voltage calculation. Finally, considering attention mechanisms for dynamic temporal feature weights and parameter optimization techniques, an improved broad learning system is used to achieve electrical model-free voltage calculation. The case study demonstrates that our method effectively utilizes historical data from an unregulated low-voltage active distribution network to accurately calculate voltages under regulation, exhibiting high calculation accuracy, short training time, suitability for a small dataset, and high scalability.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"2704-2716"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=11359535","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146042723","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Two-Stage Bidirectional Inverter Equivalent Circuit Model for Distribution Grid Steady-State Analysis and Optimization","authors":"Emmanuel O. Badmus;Amritanshu Pandey","doi":"10.1109/TPWRS.2026.3656315","DOIUrl":"10.1109/TPWRS.2026.3656315","url":null,"abstract":"This paper presents a <italic>physics-based</i> steady-state equivalent circuit model of a two-stage bidirectional inverter. These inverters connect distributed energy resources (DERs), such as photovoltaic (PV) and battery systems, to distribution grids. Existing inverter models have technical gaps on three fronts: i) inadequate modeling of inverter losses; ii) use of mathematical abstractions for bidirectional flow of power; and iii) inability to integrate different control modes into nonlinear solvers without loss of generality. We propose an inverter model that explicitly captures losses in passive circuit components, grounded in circuit-level principles. We enable bidirectional power flow without binary or complementarity constraints by formulating loss terms as smooth, sign-aware expressions of current. We introduce and parameterize controlled current sources with twice-differentiable continuous functions to enable inverter control modes without loss of generality. We integrate DERs with the proposed inverter model at the load buses of distribution networks to perform power flow and optimization studies on real-world distribution networks with over 20,000 nodes. We demonstrate that the proposed model is more accurate, integrates seamlessly with various control modes without loss of generality, and scales robustly to large optimization problems.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"2994-3007"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146056618","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Xinliang Dai;Yuning Jiang;Junyi Zhai;Jianlei Liu;Thorsten Schlachter;Colin N. Jones;Xiao-Ping Zhang;Veit Hagenmeyer
{"title":"Distributed Convex Second-Order Optimization for AC/DC Hybrid Distribution Systems Within PROcess Orchestration Framework","authors":"Xinliang Dai;Yuning Jiang;Junyi Zhai;Jianlei Liu;Thorsten Schlachter;Colin N. Jones;Xiao-Ping Zhang;Veit Hagenmeyer","doi":"10.1109/TPWRS.2026.3658172","DOIUrl":"10.1109/TPWRS.2026.3658172","url":null,"abstract":"Existing operation formulations for AC/DC distribution grid often oversimplify the interplay of AC/DC interconnections and VSC characteristics. Moreover, current distributed algorithms depend on gradient-based methods, which achieve only linear convergence rates and struggle to scale efficiently for large systems. This paper proposes a convex ALADIN variant that exploits second-order derivatives of convex subproblems, achieving locally quadratic convergence for distributed nonlinear but convex optimization problems. Then, this convex ALADIN is applied to a separable AC/DC OPF model for AC/DC hybrid distribution grid, explicitly incorporating complicated AC/DC interconnections and multiple droop-controlled VSCs while retaining computational traceability. To bridge theory with practice, we implement the distributed convex second-order optimization framework using the PROcess Orchestration Framework, a co-simulation platform that automates workflow design, model integration, and distributed execution via a user-friendly graphical interface, eliminating manual coding. Numerical results illustrate effectiveness of the proposed model.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"2743-2756"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146070204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Distributed Consensus-Based Model Predictive Control of Inverter Air Conditioners for Voltage Regulation in Distribution Systems","authors":"Lunshu Chen;Hongxun Hui;Yonghua Song;Ye Chen;Wei Feng","doi":"10.1109/TPWRS.2026.3665716","DOIUrl":"10.1109/TPWRS.2026.3665716","url":null,"abstract":"Distribution system voltage violation problems are receiving more attention due to the high penetration of fluctuating distributed renewable energies. With the development of Internet of Things technologies, demand response is becoming promising to stabilize the distribution system voltage with local demand-side resources. Inverter air conditioners (IACs) account for a large share in demand-side power consumption, which has been widely considered as appropriate resources to provide voltage regulation services for the distribution system by temporally adjusting the power consumption. However, it remains a challenge to schedule large-scale distributed IACs to participate in voltage regulation services considering their complex operation characteristics with both active and reactive powers. To address this problem, this paper proposes a distributed consensus-based model predictive control (DCMPC) algorithm to coordinate the active and reactive power of IACs to participate in voltage regulation. Distributed consensus-based processing allows the IACs to be appropriately scheduled to respond to the regulation signals. The proposed DCMPC algorithm is validated by the realistic IACs aggregated regulation system and hardware-in-the-loop experiments. The experimental results show that the DCMPC algorithm can effectively schedule IACs to keep the voltage operating within the security range and achieve good thermal comfort for customers during voltage regulation.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"2441-2453"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146208645","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Yingzhao Tang;Shixing Ding;Zhigang Lu;Wei Gu;Chongqing Kang;Yijun Xu;Ershun Du
{"title":"Alternating Refined Constraint Method: A Multi-Objective Solution Approach for Energy Systems Optimization","authors":"Yingzhao Tang;Shixing Ding;Zhigang Lu;Wei Gu;Chongqing Kang;Yijun Xu;Ershun Du","doi":"10.1109/TPWRS.2026.3682532","DOIUrl":"10.1109/TPWRS.2026.3682532","url":null,"abstract":"This paper proposes an alternating refined constraint method (ARCM) for solving multi-objective optimization problems (MOPs) in energy systems. Through a two-stage solution mechanism, ARCM addresses a critical theoretical shortcoming of prevailing methods, which may occasionally yield weakly Pareto optimal solutions when tackling non-convex problems involving binary variables and nonlinear constraints. ARCM utilizes a two-stage solution strategy to clarify the decision-making logic for energy systems optimization and mathematically guarantees that every generated solution satisfies strong Pareto optimality. Simulation results show the effectiveness of the method, and a comparison with other multi-objective solution methods is made.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"3230-3233"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147664283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An Entropy-Preserving Sparse Approximation Method for Voltage Security Regions Based on Information Theory","authors":"Kehuai Zhao;Tao Niu;Sidun Fang;Guanhong Chen","doi":"10.1109/TPWRS.2026.3670864","DOIUrl":"10.1109/TPWRS.2026.3670864","url":null,"abstract":"Owing to the relatively weak grid structure and insufficient control capabilities of power systems with high proportions of renewable energy, traditional analysis approaches for voltage-related faults, such as voltage security regions (VSRs), nearly all have the disadvantages associated with large scales, complex dynamics and high dimensions. Therefore, considering the perspective of information in systems with low-dimensional projections and high-dimensional spaces, an information-theory-based method for the entropy-preserving sparse approximation (EPSA) of VSRs that can dramatically accelerate the computation while ensuring accuracy was used in this study. First, a bus information quantity (BIQ) index was established to identify the bus set with the most information. Then, in the reduced-dimensional space, a parallel algorithm of boundary fitting and clustering was proposed to acquire source data with low-dimensional projection. Furthermore, a multisource channel model of the VSR was established, obtaining the sparse polynomial bases of the VSR while preserving entropy from source data and sparsely approximating the VSR via hyperplane reconstruction theory. Finally, the proposed EPSA-VSR method was verified on modified IEEE 39-bus, 118-bus, and 300-bus systems, revealing the advantages of fast computation and high accuracy.","PeriodicalId":13373,"journal":{"name":"IEEE Transactions on Power Systems","volume":"41 4","pages":"3186-3201"},"PeriodicalIF":8.7,"publicationDate":"2026-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147371360","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}