Simulation and analysis of magnetic fields around High-Voltage power lines using Python for enhanced safety and design insights.

Scientific reports · 2025 · Mixed · Insufficient evidence

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MixedInsufficient evidencePaper 5879

A Python-based simulation framework (Biot–Savart with modified finite element ground-air boundary conditions) modeled magnetic flux density for three conductor configurations (horizontal, vertical, triangular) under balanced three-phase loading (132 kV, 100 A…

Study snapshot

PublicationScientific reports · 2025
Study typeengineering
Reported directionMixed
Evidence ratingInsufficient

Abstract

Accurate modeling of magnetic fields around high-voltage power lines is essential for public health protection, electromagnetic compatibility (EMC) planning, and infrastructure safety. This study presents a novel, open-source, Python-based simulation framework that rigorously computes magnetic flux density using the Biot-Savart Law, enhanced with ground-air boundary conditions via a modified finite element module. Simulations were conducted for three typical conductor configurations, horizontal, vertical, and triangular (delta) under balanced three-phase loading (132 kV, 100 A per phase), using Aluminium Conductor Steel-Reinforced (ACSR) 'Linnet' conductors mounted 10 m above ground level. The horizontal configuration exhibited the highest peak magnetic flux density, reaching 120 µT directly beneath the conductors and 104.2 µT at 1.5 m height, exceeding the ICNIRP (2020) public exposure limit of 100 µT. In contrast, the triangular layout produced the most uniform field distribution, with a peak of 57.6 µT and a standard deviation of 7.3 µT across the 0-2 m human exposure zone. The vertical arrangement, while exhibiting lower peak intensity, influenced a broader lateral dispersion, indicating potential implications for densely populated environments. Incorporation of ground-air interactions resulted in a 28.3% increase in local field intensity at 1.5 m due to constructive interference, necessitating up to 1.2 m reduction in safety clearance in worst-case exposure scenarios. Field measurements using a precision three-axis gaussmeter (± 0.01 µT) at 5 m, 10 m, and 15 m from the transmission line showed a maximum relative deviation of 0.74%, with absolute error ranging from 6.78 × 10⁻²¹ T to 1.53 × 10⁻⁷ T, validating the model's predictive fidelity. Incorporating boundary effects reduced spatial prediction error by 15-25% compared to boundary-excluded models. The simulation framework, developed using NumPy, SciPy, and Matplotlib, provides a cost-effective, scalable, and regulator-aligned tool for optimizing conductor layouts, mitigating electromagnetic exposure risks, and supporting compliance in transmission routing and urban planning. Future work will integrate conductor non-idealities, dynamic environmental loading, and transient power flow conditions to enhance applicability in smart grid and real-time EMF monitoring scenarios.

Machine Enhanced Logic

AI evidence extraction

Structured fields below were generated from the paper’s abstract and metadata to make the evidence easier to inspect. Automated extraction may be incomplete or incorrect; verify important details against the original paper.

Study typeengineering
Effect directionmixed
PopulationNot supplied
Sample sizeNot supplied
ExposureELF
Evidence strengthInsufficientConfidence: 78% · Peer reviewed: yes

Main findings

A Python-based simulation framework (Biot–Savart with modified finite element ground-air boundary conditions) modeled magnetic flux density for three conductor configurations (horizontal, vertical, triangular) under balanced three-phase loading (132 kV, 100 A per phase) at 10 m height. The horizontal configuration produced the highest peak field (120 µT directly beneath; 104.2 µT at 1.5 m), exceeding the ICNIRP (2020) public limit of 100 µT, while the triangular layout had a lower peak (57.6 µT) and more uniform distribution across 0–2 m. Ground-air interactions increased local intensity at 1.5 m by 28.3% and boundary effects reduced spatial prediction error by 15–25%; measurements at 5/10/15 m showed maximum relative deviation 0.74% supporting model validity.

Outcomes measured

  • Magnetic flux density (µT) around high-voltage transmission lines
  • Model validation accuracy vs field measurements
  • Comparison to ICNIRP (2020) public exposure limit (100 µT)
View raw extracted JSON
{
  "study_type": "engineering",
  "exposure": {
    "band": "ELF",
    "source": "high-voltage power lines",
    "frequency_mhz": null,
    "sar_wkg": null,
    "duration": null
  },
  "population": null,
  "sample_size": null,
  "outcomes": [
    "Magnetic flux density (µT) around high-voltage transmission lines",
    "Model validation accuracy vs field measurements",
    "Comparison to ICNIRP (2020) public exposure limit (100 µT)"
  ],
  "main_findings": "A Python-based simulation framework (Biot–Savart with modified finite element ground-air boundary conditions) modeled magnetic flux density for three conductor configurations (horizontal, vertical, triangular) under balanced three-phase loading (132 kV, 100 A per phase) at 10 m height. The horizontal configuration produced the highest peak field (120 µT directly beneath; 104.2 µT at 1.5 m), exceeding the ICNIRP (2020) public limit of 100 µT, while the triangular layout had a lower peak (57.6 µT) and more uniform distribution across 0–2 m. Ground-air interactions increased local intensity at 1.5 m by 28.3% and boundary effects reduced spatial prediction error by 15–25%; measurements at 5/10/15 m showed maximum relative deviation 0.74% supporting model validity.",
  "effect_direction": "mixed",
  "limitations": [],
  "evidence_strength": "insufficient",
  "confidence": 0.78,
  "peer_reviewed_likely": "yes",
  "keywords": [
    "magnetic fields",
    "magnetic flux density",
    "high-voltage power lines",
    "transmission lines",
    "Biot-Savart law",
    "finite element",
    "ground-air boundary conditions",
    "ICNIRP 2020",
    "public exposure limit",
    "EMC planning",
    "Python",
    "NumPy",
    "SciPy",
    "Matplotlib",
    "gaussmeter",
    "conductor configuration",
    "ACSR Linnet",
    "132 kV",
    "100 A"
  ],
  "suggested_hubs": [
    {
      "slug": "who-icnirp",
      "weight": 0.7,
      "reason": "Abstract explicitly compares modeled fields to the ICNIRP (2020) public exposure limit."
    },
    {
      "slug": "occupational-exposure",
      "weight": 0,
      "reason": null
    }
  ]
}
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AI-extracted fields are generated from the abstract and metadata and may be incomplete or incorrect. This material is for informational purposes and is not medical advice.

Identifiers and source

DOI: 10.1038/s41598-025-11464-2
PubMed: 41028797

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