Pith Number

pith:7YSVMO7O

pith:2025:7YSVMO7OKEEP3S4XHXFPUZCABR

not attested not anchored not stored refs resolved

State constrained stochastic optimal control of a PV system with battery storage via Fokker-Planck and Hamilton-Jacobi-Bellman equations

Alfredo Berm\'udez, Iago Pad\'in

Decomposing state space into controllable and uncontrollable parts reduces the HJB-FP system for PV battery control

arxiv:2506.11765 v2 · 2025-06-13 · math.OC

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\usepackage{pith}
\pithnumber{7YSVMO7OKEEP3S4XHXFPUZCABR}

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4 Citations open

5 Replications open

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The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Claims

C1strongest claim

Numerical results show that the reduced formulations achieve substantial computational savings, enabling real-time applicability without significant loss of performance.

C2weakest assumption

Decomposing the state space into controllable and uncontrollable components yields lower-dimensional optimality systems while preserving the continuous-time Dynamic Programming structure and the optimality of the resulting policy.

C3one line summary

A dimension-reduced HJB-FP stochastic control formulation for joint day-ahead bidding and real-time battery operation in PV systems with storage.

References

28 extracted · 28 resolved · 0 Pith anchors

[1] Energy Technology Perspectives 2024, 2024

[2] Available: https://www.iea.org/reports/ energy-technology-perspectives-2024 2024

[3] “Renewables 2024,” IEA, Paris, France, 2024. [Online]. Available: https:// www.iea.org/reports/renewables-2024 2024

[4] Grid Integration Challenges and Solution Strategies for Solar PV Systems: A Review, 2022 · doi:10.1109/access.2022.3174555

[5] Energy Management and Control System for Laboratory Scale Microgrid Based Wind-PV-Battery, 2017 · doi:10.1109/tste.2016.2587828

Formal links

2 machine-checked theorem links

Receipt and verification

First computed	2026-06-02T02:04:06.632635Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fe25563bee5108fdcb973dcafa64400c4a413c6803078d24539731d70c8cacd6

Aliases

arxiv: 2506.11765 · arxiv_version: 2506.11765v2 · doi: 10.48550/arxiv.2506.11765 · pith_short_12: 7YSVMO7OKEEP · pith_short_16: 7YSVMO7OKEEP3S4X · pith_short_8: 7YSVMO7O

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/7YSVMO7OKEEP3S4XHXFPUZCABR \
  | 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: fe25563bee5108fdcb973dcafa64400c4a413c6803078d24539731d70c8cacd6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a53a23e356b92739b260d492342e3d493b07013e3c11456afb597928d41aa42e",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2025-06-13T13:20:26Z",
    "title_canon_sha256": "e66581bb94cecdc90df11883d2cce899611854742f59a8a3c2cab534ebe0aa27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.11765",
    "kind": "arxiv",
    "version": 2
  }
}