Pith Number

pith:DRYU3WOK

pith:2026:DRYU3WOKK5CDDUNEIXCE5K6GWQ

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Revisiting Voltage and Synchronization Stability Analysis in Converter-Integrated Weak Grids: Insights from Non-Minimum-Phase Zeros

Fuyilong Ma, Huanhai Xin, Lennart Harnefors, Lidong Zhang, Linbin Huang, Waisheng Zheng, Wangqianyun Tang

Non-minimum phase zeros in the grid Jacobian transfer matrix cause both voltage instability and synchronization issues in weak grids with converter-interfaced generators.

arxiv:2605.13061 v1 · 2026-05-13 · eess.SY · cs.SY

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Claims

C1strongest claim

We demonstrate that the two stability issues in weak grids originate from NMP zeros in the grid Jacobian transfer matrix: a zero at the origin corresponds to voltage instability, while low-frequency zeros impose fundamental constraints on synchronization dynamics. The traditional SCR is proven to be a special case of our proposed novel stability metric, NMP-zero (NMP-Z) factor, evaluated at the rated operating point.

C2weakest assumption

The analysis relies on small-signal linearization of the system around an operating point and the assumption that the grid Jacobian transfer matrix fully captures the relevant dynamics for both voltage and synchronization stability.

C3one line summary

Non-minimum-phase zeros in the grid Jacobian explain both voltage and synchronization instability in weak grids, with the short-circuit ratio as a special case of the proposed NMP-Z factor at rated operating point.

References

27 extracted · 27 resolved · 0 Pith anchors

[1] Power system stability with a high penetration of inverter-based resources 2022

[2] Definition and Classification of Power System Stability – Revisited & Extended, 2021

[3] Small-Disturbance V oltage Stability of Power Systems: Dependence on Network Structure, 2020

[4] Real-world subsynchronous oscillation events in power grids with high penetrations of inverter-based resources, 2022

[5] Grid-synchronization stability of converter-based resources—an overview, 2020

Formal links

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Receipt and verification

First computed	2026-05-18T03:08:59.101047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c714dd9ca574431d1a445c44eabc6b42dc69b4c9a1ee9678d63c175f071783f

Aliases

arxiv: 2605.13061 · arxiv_version: 2605.13061v1 · doi: 10.48550/arxiv.2605.13061 · pith_short_12: DRYU3WOKK5CD · pith_short_16: DRYU3WOKK5CDDUNE · pith_short_8: DRYU3WOK

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/DRYU3WOKK5CDDUNEIXCE5K6GWQ \
  | 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: 1c714dd9ca574431d1a445c44eabc6b42dc69b4c9a1ee9678d63c175f071783f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9023d4f9fa8ce0b00521e3d749cbc6706d1195840ca7a9a7345c75488d74b13c",
    "cross_cats_sorted": [
      "cs.SY"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-13T06:33:42Z",
    "title_canon_sha256": "b6ae4ac11a8c848d0b60d484b047af0ef5f3c666c0cb4ef7c1315c28550fed16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.13061",
    "kind": "arxiv",
    "version": 1
  }
}