[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-detail-82635-en":3,"doc-seo-82635-105":28,"detail-sidebar-cat-0-en-105":89},{"code":4,"msg":5,"data":6},0,"success",{"doc_id":7,"user_id":8,"nickname":9,"user_avatar":10,"doc_module":4,"category_id":11,"category_name":12,"doc_title":13,"doc_description":14,"doc_content":15,"file_id":16,"file_url":17,"file_type":18,"file_size":19,"view_count":4,"is_deleted":4,"is_public":20,"is_downloadable":20,"audit_status":20,"page_count":11,"language":21,"language_code":22,"site_id":23,"html_lang":22,"table_of_contents":24,"faqs":25,"seo_title":13,"seo_description":14,"update_tm":26,"read_time":27},82635,16904993612988,"Olivia Brown","https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd",8,"Research & Report","Decentralized Stability Certificates in IBR-Dominated Grids: The Role of the Network State","Decentralized stability certificates for inverter-based resource (IBR) dominated grids increasingly target small-signal instabilities such as unforced subsynchronous oscillations. Existing certificates often rely on restrictive network-state assumptions, limiting their ability to reflect how deviations from nominal operating conditions impact stability. A network model and decentralized analysis framework is developed to jointly characterize the influence of reactive power mismatches, line loading, and inverter control parameters on small-signal stability. Results show that larger reactive mismatches and line loading tighten admissible inverter droop gains, shrinking the set of stabilizing local controller parameters under network stress.","PowerUp Conference 2026 1  \nDecentralized Stability Certificates in IBR-Dominated Grids:  \nThe Role of the Network State  \nZhimeng Wang†, Sushobhan Chatterjee†, Sijia Geng†, Richard Pates‡, Enrique Mallada†  \narXiv :2607 .01643v1 [ ee ss . SY] 2 Jul 2026  \nAbstract—Small-signal instabilities, such as unforced subsynchronous oscillations (SSOs), are increasingly observed in inverter-based resource (IBR) dominated grids. While decentralized stability certificates offer a scalable means to avoid instability onset, they are typically derived under restrictive network-state assumptions–such as small angle differences or negligible voltage drops–that cannot capture how departures from these conditions affect system stability. In this paper, we develop a network model and a decentralized analysis framework that explicitly characterizes how reactive power mismatches, line loading, and inverter control parameters jointly determine small-signal stability. We show that increased steady-state reactive power mismatches and line loading lead to more stringent conditions on admissible inverter droop gains. These results make decentralized stability certificates explicitly network-state dependent, showing how network stress shrinks the set of stabilizing local controller parameters.  \nIndex Terms—Decentralized stability, inverter-based resources, passivity, reactive power, small-signal stability.  \nI. INTRODUCTION  \nSmall-signal instabilities are becoming increasingly prevalent in inverter-based resource (IBR) dominated grids, often manifesting as unforced sub-synchronous oscillations (SSOs)  \n[1] . Such instabilities have been reported across a wide range of scenarios, including weak-grid conditions, controller misconfigurations at commissioning, and post-contingency network reconfigurations [2], [3] . While some events can be explained by classical resonance phenomena or control-structure interactions [4], the precise mechanisms driving many of these oscillations remain poorly understood. In particular, instabilities often arise spontaneously, without a clear disturbance or topological trigger, underscoring the need for improved analytical tools that capture how the underlying network state shapes small-signal dynamics and stability-margins [5] .  \nRecent research has emphasized the use of decentralized certificates to ensure small signal stability [6]–[11] . These approaches derive scale-free conditions that guarantee stability under bounded uncertainty, offering scalable alternatives to full electromagnetic transient (EMT) simulations and global eigenvalue analyses [6] . To obtain such tractable, decentralized conditions, most formulations either adopt simplifying network steady-state assumptions–such as small phase differences [7],[11], near-uniform voltage magnitudes [8], or active–reactive decoupling [6], [9]–or implicitly encode network-state dependence within the local linearization of inverter models [10] . Asa result, the dependence of stability margins on the network  \n†Zhimeng Wang, Sushobhan Chatterjee, Sijia Geng, Enrique Mallada are with the Department of Electrical and Computer Engineering, Johns Hopkins University, Baltimore, MD, USA. Email: {zwang471, schatt21, sgeng, [mallada](mallada}@jhu.edu)[}](mallada}@jhu.edu)[@jhu.edu](mallada}@jhu.edu)  \n‡Richard Pates is with the Department of Automatic Control, Lund University, Lund, [Sweden. Email:](Sweden. Email: {richard.pates}@control.lth.se)[ {](Sweden. Email: {richard.pates}@control.lth.se)[richard.pates](Sweden. Email: {richard.pates}@control.lth.se)[}](Sweden. Email: {richard.pates}@control.lth.se)[@control.lth.se](Sweden. Email: {richard.pates}@control.lth.se)  \nstate is either neglected, implicitly confined to a nominal regime, or absorbed into model abstractions.  \nIn this paper, we develop a network model and accompanying analysis framework that derives decentralized stability certificates without imposing explicit or implicit assumptionson the network state. The port-","cbCaiaYeALC0eDEw","https://ap.wps.com/l/cbCaiaYeALC0eDEw","pdf",2103748,1,"English","en",105,"# Abstract\n# Introduction\n## Motivation: unforced SSOs and unclear mechanisms\n## Background: decentralized certificates and restrictive assumptions\n## Contributions: network-state explicit decentralized certificates\n# Network model and decentralized analysis framework","[{\"question\":\"Why do decentralized stability certificates become inadequate under stressed network conditions?\",\"answer\":\"They are often derived under simplifying network-state assumptions, so stability margins can fail to reflect how departures from nominal operating conditions affect small-signal dynamics.\"},{\"question\":\"What network factors are explicitly characterized in the proposed framework?\",\"answer\":\"Reactive power mismatches, line loading, and inverter control parameters are jointly modeled to determine small-signal stability.\"},{\"question\":\"How do reactive power mismatches and line loading affect admissible inverter droop gains?\",\"answer\":\"Increasing reactive power mismatches and line loading progressively impose more stringent conditions on the inverter droop gains that still guarantee 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do decentralized stability certificates become inadequate under stressed network conditions?","Question",{"text":73,"@type":74},"They are often derived under simplifying network-state assumptions, so stability margins can fail to reflect how departures from nominal operating conditions affect small-signal dynamics.","Answer",{"name":76,"@type":71,"acceptedAnswer":77},"What network factors are explicitly characterized in the proposed framework?",{"text":78,"@type":74},"Reactive power mismatches, line loading, and inverter control parameters are jointly modeled to determine small-signal stability.",{"name":80,"@type":71,"acceptedAnswer":81},"How do reactive power mismatches and line loading affect admissible inverter droop gains?",{"text":82,"@type":74},"Increasing reactive power mismatches and line loading progressively impose more stringent conditions on the inverter droop gains that still guarantee 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