Voltage drop kv
voltage_drop_kv
Approximate line voltage drop
Scores if within ±3% of the reference value.
LIVEdataset aec-bench@releasetasks 552models 18disciplines 5last submission … · built …
electricalwith-tool
Voltage Regulation
Calculates voltage drop, voltage regulation, receiving-end voltage, and real power loss for a balanced three-phase line. The reduced method uses per-kilometre R and X, line length, real and reactive load, and sending-end voltage.
with-tool: The model is given an executable Python calculator script.
How this task is generated
One template produces many comparable benchmark tasks while keeping the scoring contract fixed.
01
Template
The reusable contract shown on this page.
02
Scenario
An archetype and site context are sampled.
03
Difficulty tier
Inputs may be hidden at harder tiers.
04
Task prompt
The model responds with the declared outputs.
Parameters
Inputs the model receives, and the outputs it is scored on.
Inputs
6 inputs
Always given
Included directly in every task prompt.
Line resistance ohm per km
line_resistance_ohm_per_km
Positive-sequence line resistance
0 – 5 ohm/kmLine reactance ohm per km
line_reactance_ohm_per_km
Positive-sequence line reactance
0 – 5 ohm/kmLine length
line_length_km
Line length
0.1 – 500 kmLoad real power
load_real_power_mw
Three-phase real load
0.1 – 1000 MWSending voltage
sending_voltage_kv
Sending-end line-to-line voltage
1 – 765 kV
Hidden at higher difficulty
Visible in easier tasks and withheld in one or more harder tiers.
Load reactive power
load_reactive_power_mvar
Three-phase reactive load
Hidden at hard difficulty.
-500 – 500 MVAr
Scored outputs
4 outputs
Voltage regulation pct
voltage_regulation_pct
Voltage drop as a percentage of sending voltage
Scores if within ±3% of the reference value.
Receiving end voltage kv
receiving_end_voltage_kv
Receiving-end line-to-line voltage
Scores if within ±3% of the reference value.
Power loss mw
power_loss_mw
Three-phase real power loss
Scores if within ±3% of the reference value.
Difficulty
Each template is sampled at three tiers. Harder tiers may hide inputs, forcing the model to infer them from the scenario description.
easy
All inputs given
Subtransmission line with all values visible
medium
All inputs given
Subtransmission or transmission line
hard
Some inputs hidden
Reactive load hidden in power factor context
Hidden inputs
- Load reactive power mvarload_reactive_power_mvar
Prompt replacement text
Use the lagging reactive load implied by {{ archetype.description }}.
Load reactive power mvar restricted to: 100
Task bundle
The exact instruction and parameter contract used to generate this task, pinned to the published library source.
/workspace
- instruction.md
- voltage-regulation_calc.py
Teal lines show Jinja input conditions, not task visibility policy. A line renders only when that input or tool is visible.
1You are a senior power systems engineer calculating line voltage regulation.2 3## Given4 5| Parameter | Value | Unit |6|-----------|-------|------|7| Line resistance | {{ line_resistance_ohm_per_km }} | ohm/km |8| Line reactance | {{ line_reactance_ohm_per_km }} | ohm/km |9| Line length | {{ line_length_km }} | km |10| Real load | {{ load_real_power_mw }} | MW |11{% if load_reactive_power_mvar is defined %}12| Reactive load | {{ load_reactive_power_mvar }} | MVAr |13{% endif %}14| Sending-end voltage | {{ sending_voltage_kv }} | kV |15 16## Constraints17 18- Use total R and X over the full line length.19- Use the approximate drop formula `deltaV_kV = (R_total P_MW + X_total Q_MVAr) / V_kV`.20- Voltage regulation equals `deltaV / sending_voltage x 100`.21- Receiving voltage equals sending voltage minus voltage drop.22- Estimate three-phase real power loss using line current from apparent power.23 24## Output Format25 26Include a JSON block with exactly these keys:27 28```json29{30 "voltage_drop_kv": <numeric_value>,31 "voltage_regulation_pct": <numeric_value>,32 "receiving_end_voltage_kv": <numeric_value>,33 "power_loss_mw": <numeric_value>34}35```36 37Write your complete solution to `/workspace/output.md`.38 Scenario archetypes
Each generated task is drawn from one of these realistic scenario bands.
Site contexts ground each scenario in a real locale the model can use to infer hidden values.
Subtransmission line
subtransmission_line
Subtransmission feeder supplying a regional load
regional-feedersubtransmission-line
Parameter ranges
- line_resistance_ohm_per_km
- 0.05 – 0.4
- line_reactance_ohm_per_km
- 0.1 – 0.6
- line_length_km
- 5 – 100
- load_real_power_mw
- 5 – 100
- load_reactive_power_mvar
- 0 – 40
- sending_voltage_kv
- 33 – 132
Transmission line
transmission_line
Transmission line supplying a bulk load
bulk-transmissioninterconnector
Parameter ranges
- line_resistance_ohm_per_km
- 0.01 – 0.15
- line_reactance_ohm_per_km
- 0.1 – 0.5
- line_length_km
- 50 – 300
- load_real_power_mw
- 50 – 600
- load_reactive_power_mvar
- 0 – 250
- sending_voltage_kv
- 132 – 500
Example task
bulk-transmission-transmission-line-preview — hard difficulty, some inputs hidden.
Transmission line supplying a bulk load. bulk-transmission. Required outputs: voltage_drop_kv, voltage_regulation_pct, receiving_end_voltage_kv, power_loss_mw
The model sees
Scenario context and visible inputs.
- line_resistance_ohm_per_km
- 0.01 to 0.15 ohm/km
- line_reactance_ohm_per_km
- 0.1 to 0.5 ohm/km
- line_length_km
- 50 to 300 km
- load_real_power_mw
- 50 to 600 MW
- sending_voltage_kv
- 132 to 500 kV
Executable tool: voltage-regulation_calc.py
The model must infer
Inputs withheld at this difficulty.
Load reactive power mvar
load_reactive_power_mvar
Stand-in text in the prompt
Use the lagging reactive load implied by {{ archetype.description }}.
The model must produce
The scored JSON answer schema.
{
"voltage_drop_kv": <number>,
"voltage_regulation_pct": <number>,
"receiving_end_voltage_kv": <number>,
"power_loss_mw": <number>
}- voltage_drop_kv · scored within ±3%
- voltage_regulation_pct · scored within ±3%
- receiving_end_voltage_kv · scored within ±3%
- power_loss_mw · scored within ±3%