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May 7, 2026Applied Sciences0 citationsOpen Access

Harmonic Resonance Mechanism and Suppression Strategies for High-Voltage Cables with Frequency-Dependent Parameters

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ZQZhaoyu QinYZYan ZhangYWYuli Wang

Key Points

  • This research focuses on understanding harmonic resonance mechanisms in high-voltage cables influenced by frequency-dependent parameters.
  • Developed a frequency-dependent high-voltage cable model using ATP-EMTP simulation.
  • Investigated amplification mechanisms and propagation characteristics of grounding currents under harmonic disturbances.
  • Established a correction model integrating conductor skin effect and dielectric properties.
  • Found grounding current amplification up to 445 times at 1950 Hz with a 30% distortion level.
  • Identified resonance risks in long-distance cables (>8 km) exacerbated by capacitive effects.
  • Voltage-source harmonics contribute less than 5% at frequencies ≥1250 Hz, indicating current-dominated behavior.

Abstract

The increasing integration of nonlinear loads in modern power systems has made harmonic pollution a critical challenge to the operational safety of power cables. This study develops a frequency-dependent high-voltage cable system model using the ATP-EMTP (Alternative Transients Program-Electro Magnetic Transient Program) electromagnetic transient simulation platform, systematically investigating the amplification mechanisms and propagation characteristics of grounding currents under multi-type harmonic disturbances. A frequency-dependent parameter correction model is established by integrating the conductor skin effect and the dielectric relaxation properties of the insulation layers. This model incorporates the multi-structure combination among conductors, insulation, and metallic screen. It effectively overcomes the limitations of conventional lumped-parameter models in higher frequency harmonic analysis. Key findings are as follows: (1) The combined influence of harmonic frequency and amplitude leads to a grounding current amplification of up to 445 times (at 1950 Hz with 30% distortion level). Notably, current-source excitation produces significantly greater amplification than voltage-source excitation. (2) The distributed capacitance of long-distance cables (>8 km) exacerbates resonance risks within specific frequency bands (750–1250 Hz), resulting in a maximum harmonic amplification factor of 34.73 (observed for the 17th harmonic in a 15 km cable). (3) The contribution of voltage-source harmonics diminishes to less than 5% of the total current at high frequencies (≥1250 Hz), indicating a pattern of current-dominated harmonic superposition.

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Cite This Study

Qin et al. (2026) studied this question.

synapsesocial.com/papers/69fbe3aa164b5133a91a2e3chttps://doi.org/10.3390/app16094202
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