{"paper":{"title":"Port-Hamiltonian Control and Structure-Preserving Algorithm for Grid-Forming SVGs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A port-Hamiltonian model yields an input-to-state stable controller and an energy-exact midpoint integrator for grid-forming static var generators.","cross_cats":[],"primary_cat":"math.OC","authors_text":"Feng Ji, Jiaxin Qian, Mingyang Liu, Sixu Wu, Yifa Tang","submitted_at":"2026-05-17T14:56:22Z","abstract_excerpt":"This paper presents a port-Hamiltonian (PH) modeling, control, and structure-preserving simulation framework for grid-forming static var generators (SVGs). A PH model is established that captures energy exchange among the inductor, capacitor, and DC-link storage ports. Since external disturbances cannot be fully canceled by feedback, an input-to-state stable (ISS) controller is designed to steer subsystem states to zero while minimizing disturbance effects. The controller contains only three tunable parameters with clear physical interpretations and is robust against input errors. A Dirac-stru"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"Numerical comparisons show that the ISS controller achieves faster settling, smaller offset, and lower control effort than a conventional PI controller, and the structure-preserving midpoint rule maintains exact energy conservation and superior long-term accuracy over standard Runge-Kutta methods.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The port-Hamiltonian model is assumed to capture all relevant energy exchange among inductor, capacitor, and DC-link ports under the operating conditions of interest; if unmodeled dynamics or parameter variations violate this, both the ISS controller design and the exact conservation property of the midpoint rule lose their guarantees.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A port-Hamiltonian modeling, ISS control, and energy-conserving simulation framework for grid-forming SVGs that outperforms PI control and standard integrators in numerical tests.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A port-Hamiltonian model yields an input-to-state stable controller and an energy-exact midpoint integrator for grid-forming static var generators.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"73c1f6261b3090ebbb609abb9e0bc1d93b4f676268cef0c645cf6effb9aa2aaa"},"source":{"id":"2605.17487","kind":"arxiv","version":1},"verdict":{"id":"187fbdff-6696-436c-80a7-b373a674f6f8","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:43:58.349292Z","strongest_claim":"Numerical comparisons show that the ISS controller achieves faster settling, smaller offset, and lower control effort than a conventional PI controller, and the structure-preserving midpoint rule maintains exact energy conservation and superior long-term accuracy over standard Runge-Kutta methods.","one_line_summary":"A port-Hamiltonian modeling, ISS control, and energy-conserving simulation framework for grid-forming SVGs that outperforms PI control and standard integrators in numerical tests.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The port-Hamiltonian model is assumed to capture all relevant energy exchange among inductor, capacitor, and DC-link ports under the operating conditions of interest; if unmodeled dynamics or parameter variations violate this, both the ISS controller design and the exact conservation property of the midpoint rule lose their guarantees.","pith_extraction_headline":"A port-Hamiltonian model yields an input-to-state stable controller and an energy-exact midpoint integrator for grid-forming static var generators."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17487/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.538134Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:51:37.484777Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.684226Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.644604Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"30f593202173c391d6226610de3cd93014ca15a8ffca1ae8be05c8c72688fba2"},"references":{"count":25,"sample":[{"doi":"","year":1992,"title":"Ordinary differential equations","work_id":"13ea91f8-d01e-4a63-acff-863596b993e2","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1109/jproc.2017.2696878","year":2017,"title":"Distributed power-generation systems and protection","work_id":"740189c5-1a79-419e-b253-0726e242be57","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1984,"title":"On difference schemes and symplectic geometry","work_id":"55b666ec-f203-4f16-8fae-20124798c972","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"Collected Works of Feng Kang","work_id":"2fc113d5-ff89-44da-bee8-ced4b26e8c97","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":null,"title":"Geometric numerical integration","work_id":"a52f2d6a-4aa9-4cdb-865b-e1a8c0d7dc68","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":25,"snapshot_sha256":"2d928ead279479854223674df856519022f1f62afbaf9e644b9a42c5d056e18f","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}