LIVEdataset aec-bench@releasetasks 552models 18last submission … · built …
civilwith-tool

Pump Power Calc

Calculates hydraulic power (P_h = rho*g*Q*H), brake (shaft) power, and motor input power for a water or wastewater pump station at a specified duty point. Accounts for pump and motor efficiencies to determine the electrical power draw, following AWWA and Hydraulics Institute methodology for pump station design.

with-tool: The model is given an executable Python calculator script.

Standards

AWWAHydraulics Institute

Tags

brake-powercivildeterministichydraulic-powermotor-powerpump-station

How this task is generated

One template produces many comparable benchmark tasks while keeping the scoring contract fixed.

  1. 01

    Template

    The reusable contract shown on this page.

  2. 02

    Scenario

    An archetype and site context are sampled.

  3. 03

    Difficulty tier

    Inputs may be hidden at harder tiers.

  4. 04

    Task prompt

    The model responds with the declared outputs.

Parameters

Inputs the model receives, and the outputs it is scored on.

Inputs

4 inputs

Always given

Included directly in every task prompt.

2

  • Flow rate

    flow_rate_l_s

    Volumetric flow rate Q at the duty point

    1 – 500 L/s

  • Total dynamic head

    total_dynamic_head_m

    Total dynamic head H (static head plus friction losses)

    2 – 120 m

Derived from scenario

Sampled from the scenario and inferable from its description.

2

  • Pump efficiency pct

    pump_efficiency_pct

    Pump efficiency at the duty point

    Derived from the archetype scenario. Hidden at hard difficulty.

    40 – 90 %

  • Motor efficiency pct

    motor_efficiency_pct

    Motor efficiency at the operating load

    Derived from the archetype scenario. Hidden at hard difficulty.

    80 – 97 %

Scored outputs

3 outputs

Hydraulic power

hydraulic_power_kw

Hydraulic (water) power P_h (kW)

Scores if within ±3% of the reference value.

Brake power

brake_power_kw

Brake (shaft) power P_b (kW)

Scores if within ±3% of the reference value.

Motor input power

motor_input_power_kw

Motor input (electrical) power P_m (kW)

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

All parameters given, small to medium pump station

medium

All inputs given

All parameters given, any pump station type including high head

hard

Some inputs hidden

Efficiencies hidden, agent must infer from pump station type and size

Hidden inputs

  • Pump efficiency pctpump_efficiency_pct
  • Motor efficiency pctmotor_efficiency_pct

Prompt replacement text

The pump station is a {{ archetype.description }} ({{ archetype.site_context }})

Task bundle

The exact instruction and parameter contract used to generate this task, pinned to the published library source.

/workspace

  • instruction.md
  • pump-power-calc_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 civil engineer specializing in water infrastructure and pump station design.2 3## Problem4 5Calculate the required pump power for a water/wastewater pump station at a given duty point. Determine the hydraulic power, brake (shaft) power, and motor input (electrical) power.6 7## Given8 9| Parameter | Value | Unit |10|-----------|-------|------|11| Flow rate (Q) | {{ flow_rate_l_s }} | L/s |12| Total dynamic head (H) | {{ total_dynamic_head_m }} | m |13{%- if pump_efficiency_pct is defined %}14| Pump efficiency (η_pump) | {{ pump_efficiency_pct }} | % |15{%- endif %}16{%- if motor_efficiency_pct is defined %}17| Motor efficiency (η_motor) | {{ motor_efficiency_pct }} | % |18{%- endif %}19{% if archetype_description is defined %}20 21### Station Conditions22 23{{ archetype_description }}24{% endif %}25 26{% if tool_available %}27## Available Tool28 29A pump power calculation tool is available at `/workspace/pump-power-calc_calc.py`. Run it with:30 31```bash32python3 /workspace/pump-power-calc_calc.py --help33```34 35You may use this tool to verify your calculations or compute values directly.36{% endif %}37 38## Required39 40Calculate the following:41 421. Hydraulic (water) power P_h (kW)432. Brake (shaft) power P_b (kW)443. Motor input (electrical) power P_m (kW)45 46## Applicable Standards47 48- AWWA -- American Water Works Association pump station references49- Hydraulics Institute -- pump performance and efficiency standards50 51## Constraints52 53- No internet access is available. Work from engineering knowledge and the provided tool.54- Use the following formulas:55 - Convert flow rate from L/s to m^3/s: Q_m3s = Q / 100056 - Hydraulic power: P_h = rho x g x Q x H / 1000 (kW)57 - Brake (shaft) power: P_b = P_h / eta_pump58 - Motor input power: P_m = P_b / eta_motor59- Physical constants: rho = 998 kg/m^3 (water density), g = 9.81 m/s^260- Efficiencies are given as percentages and must be converted to decimals before use (e.g., 75% = 0.75)61- If pump or motor efficiency is not provided, estimate from the station description and pump type62 63## Output Format64 65Show your step-by-step working in Markdown, including the unit conversion, hydraulic power calculation, brake power calculation, and motor input power calculation. At the end of your solution, include a JSON block with your final answers in exactly this format:66 67```json68{69 "hydraulic_power_kw": <numeric_value>,70 "brake_power_kw": <numeric_value>,71 "motor_input_power_kw": <numeric_value>72}73```74 75Write your complete solution to `/workspace/output.md`.76

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.

Small sewer lift

small_sewer_lift

Small sewage lift station with submersible pump

brisbane-suburban-spsgold-coast-residential-sps
Parameter ranges
flow_rate_l_s
1 – 15
total_dynamic_head_m
3 – 12
pump_efficiency_pct
45 – 65
motor_efficiency_pct
82 – 88

Medium water booster

medium_water_booster

Medium water supply booster station with end-suction centrifugal pump

sydney-distribution-boostermelbourne-zone-booster
Parameter ranges
flow_rate_l_s
15 – 80
total_dynamic_head_m
15 – 50
pump_efficiency_pct
65 – 80
motor_efficiency_pct
88 – 93

Large trunk transfer

large_trunk_transfer

Large trunk sewage or water transfer station with split-case pump

adelaide-trunk-transferperth-trunk-main
Parameter ranges
flow_rate_l_s
80 – 500
total_dynamic_head_m
20 – 80
pump_efficiency_pct
75 – 90
motor_efficiency_pct
92 – 97

High head raw water

high_head_raw_water

High-head raw water intake pump station with multi-stage pump

darwin-raw-water-intakecairns-hillside-reservoir
Parameter ranges
flow_rate_l_s
20 – 150
total_dynamic_head_m
60 – 120
pump_efficiency_pct
70 – 85
motor_efficiency_pct
90 – 95

Example task

brisbane-suburban-sps-small-sewer-lift-preview — hard difficulty, some inputs hidden.

Small sewage lift station with submersible pump. brisbane-suburban-sps. Required outputs: hydraulic_power_kw, brake_power_kw, motor_input_power_kw

The model sees

Scenario context and visible inputs.

flow_rate_l_s
1 to 15 L/s
total_dynamic_head_m
3 to 12 m

Executable tool: pump-power-calc_calc.py

The model must infer

Inputs withheld at this difficulty.

  • Motor efficiency pct

    motor_efficiency_pct

  • Pump efficiency pct

    pump_efficiency_pct

Stand-in text in the prompt

The pump station is a {{ archetype.description }} ({{ archetype.site_context }})

The model must produce

The scored JSON answer schema.

{
  "hydraulic_power_kw": <number>,
  "brake_power_kw": <number>,
  "motor_input_power_kw": <number>
}
  • hydraulic_power_kw · scored within ±3%
  • brake_power_kw · scored within ±3%
  • motor_input_power_kw · scored within ±3%