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Ac Resistance Temperature

Computes the AC resistance of a power cable conductor at operating temperature by first correcting DC resistance from 20 deg C using R'(T) = R_20 * [1 + alpha_20 * (T - 20)], then applying the IEC 60287-1-1 skin effect factor ys to obtain R_ac = R_dc(T) * (1 + ys). Essential for cable thermal rating and power loss calculations in transmission and distribution systems.

inputs

4 fields

context

4 archetypes

engine

with-tool

outputs

3 scored fields

contract fields

Parameter Map

4 inputs to 3 scored outputs

  • dc_resistance_20c_ohm_per_km

    float

    DC resistance of conductor at 20 deg C

    0.01 to 5ohm/km

  • conductor_material

    enumfrom archetypehidden in hard

    Conductor material

    copperaluminium

  • operating_temp_c

    float

    Operating temperature of the conductor

    20 to 200deg C

  • frequency_hz

    float

    System frequency

    16.7 to 60Hz
dc_resistance_at_temp_ohm_per_kmtol 0.03

DC resistance at operating temperature (ohm/km)

skin_effect_factortol 0.05

Skin effect factor ys (dimensionless)

ac_resistance_ohm_per_kmtol 0.03

AC resistance at operating temperature (ohm/km)

visibility contract

Difficulty Ladder

all_giveneasy

Standard 50 Hz copper, moderate temperature, all params given

all fields visible
all_givenmedium

Any material and frequency, transmission-level conductors

all fields visible
partialhard

Conductor material hidden, agent must infer from context and resistance value

conductor_material

scenario bands

Archetype Atlas

distribution_copper

2 contexts

Copper distribution cable at moderate temperature

dc_resistance_20c_ohm_per_km0.1 to 2
operating_temp_c30 to 70

sydney-urban / melbourne-urban

distribution_aluminium

2 contexts

Aluminium distribution cable at moderate temperature

dc_resistance_20c_ohm_per_km0.08 to 1.5
operating_temp_c30 to 70

brisbane-suburban / perth-suburban

transmission_copper

2 contexts

Copper transmission conductor at elevated temperature

dc_resistance_20c_ohm_per_km0.01 to 0.15
operating_temp_c50 to 120

hunter-valley-transmission / latrobe-valley-transmission

transmission_aluminium

2 contexts

Aluminium transmission conductor at high temperature

dc_resistance_20c_ohm_per_km0.02 to 0.2
operating_temp_c60 to 200

queensland-overhead / south-australia-overhead

rendered task

Generation Preview

hunter-valley-transmission-transmission-copper-preview

difficulty
hard
visibility
partial
archetype
transmission_copper
site context
hunter-valley-transmission
instruction excerptac-resistance-temperature_calc.py

visible fields

  • dc_resistance_20c_ohm_per_km0.01 to 0.15 ohm/km
  • operating_temp_c50 to 120 deg C
  • frequency_hz16.7 to 60 Hz

withheld schema

conductor_materialdc_resistance_at_temp_ohm_per_kmskin_effect_factorac_resistance_ohm_per_km
Copper transmission conductor at elevated temperature. hunter-valley-transmission. Required outputs: dc_resistance_at_temp_ohm_per_km, skin_effect_factor, ac_resistance_ohm_per_km