Pith Number

pith:WQFMWD66

pith:2026:WQFMWD66W4SF3CGKAMZJXUUJ2A

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Port-Hamiltonian Control and Structure-Preserving Algorithm for Grid-Forming SVGs

Feng Ji, Jiaxin Qian, Mingyang Liu, Sixu Wu, Yifa Tang

A port-Hamiltonian model yields an input-to-state stable controller and an energy-exact midpoint integrator for grid-forming static var generators.

arxiv:2605.17487 v1 · 2026-05-17 · math.OC

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Claims

C1strongest 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.

C2weakest 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.

C3one 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.

References

25 extracted · 25 resolved · 0 Pith anchors

[1] Ordinary differential equations 1992

[2] Distributed power-generation systems and protection 2017 · doi:10.1109/jproc.2017.2696878

[3] On difference schemes and symplectic geometry 1984

[4] Collected Works of Feng Kang 2020

[5] Geometric numerical integration

Receipt and verification

First computed	2026-05-20T00:04:41.570733Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b40acb0fdeb7245d88ca03329bd289d00b4129ce40f829610b333ea9cadf1fdb

Aliases

arxiv: 2605.17487 · arxiv_version: 2605.17487v1 · doi: 10.48550/arxiv.2605.17487 · pith_short_12: WQFMWD66W4SF · pith_short_16: WQFMWD66W4SF3CGK · pith_short_8: WQFMWD66

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/WQFMWD66W4SF3CGKAMZJXUUJ2A \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: b40acb0fdeb7245d88ca03329bd289d00b4129ce40f829610b333ea9cadf1fdb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b99aabb0caec7ee1f39a41e28d1ef6cf3bcce58409625c14b8215d25e70a1765",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2026-05-17T14:56:22Z",
    "title_canon_sha256": "c14a8de6faca850e8aca3242514c21e657c8b2e8472b2a380e3c19430c0cb574"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.17487",
    "kind": "arxiv",
    "version": 1
  }
}