Pith Number

pith:7XZI7MHM

pith:2026:7XZI7MHMVMITUFVZDRSEXCIQ6G

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Sensitivity Quantification for Distribution System State Estimation

Bet\"ul Mamudi, Jochen Cremer, Jochen Stiasny

The choice of pseudo-measurement distribution directly distorts the confidence limits produced by weighted least squares in distribution system state estimation.

arxiv:2605.13390 v1 · 2026-05-13 · eess.SY · cs.SY

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Claims

C1strongest claim

The choice of pseudo-measurement distribution directly distorts the confidence limits under WLS-based assumptions, which must be explicitly accounted for in any uncertainty-aware DSSE method.

C2weakest assumption

That the true Cramér-Rao Bound can be computed directly from the converged WLS solution and that the 22 distribution variants are matched at equal spread to isolate shape effects from variance.

C3one line summary

WLS-based DSSE uncertainty bounds are distorted by pseudo-measurement distribution shape, with heavy-tailed and skewed distributions causing systematic overstatement of bounds that varies by bus and scenario.

References

17 extracted · 17 resolved · 0 Pith anchors

[1] Power System Static-State Estimation, Part I: Exact Model, 1970

[2] A review on distribution system state estimation, 2017

[3] A Comprehensive Review on Smart Grids: Challenges and Opportunities, 2021

[4] Recent advancement in smart grid technology: Future prospects in the electrical power network, 2021

[5] Electrical distribution system state estimation: measurement issues and challenges, 2014

Receipt and verification

First computed	2026-05-18T02:44:47.720536Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdf28fb0ecab113a16b91c644b8910f18fcbbcec93b3ca93d2ef4f0689c1e4a9

Aliases

arxiv: 2605.13390 · arxiv_version: 2605.13390v1 · doi: 10.48550/arxiv.2605.13390 · pith_short_12: 7XZI7MHMVMIT · pith_short_16: 7XZI7MHMVMITUFVZ · pith_short_8: 7XZI7MHM

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Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7XZI7MHMVMITUFVZDRSEXCIQ6G \
  | 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: fdf28fb0ecab113a16b91c644b8910f18fcbbcec93b3ca93d2ef4f0689c1e4a9

Canonical record JSON

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  "metadata": {
    "abstract_canon_sha256": "88dbd0288d5ddb08d386ad1901c299195408de15e912d7bae4d254dba8efaf60",
    "cross_cats_sorted": [
      "cs.SY"
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    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "eess.SY",
    "submitted_at": "2026-05-13T11:47:00Z",
    "title_canon_sha256": "0f726faf352bd4a00dca0be2538116d435762ded4941920747e2580a4d20eeb7"
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  "source": {
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    "kind": "arxiv",
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}