These worked examples are independently authored EngineerLM reference cases. The engineering libraries used by the service have their own notices:

Current distribution engineering-stack notices; not historical execution-version evidence.

Sign in to open the stored records. Here is the worked example itself, in full, from the published reference case - the same numbers those records contain.

The worked example: pump, motor, feeder

One call to pump_motor_feeder carries a single steady-state duty point from the liquid piping to the electrical supply, dispatching 8 steps to other registered tools and recording all of it as one execution. Reference case wf-pmf-si-001, graded against hand arithmetic at 1e-09 relative tolerance on every row below. Textbook-style data: no customer, site or project information in it.

Inputs, in part

InputValueUnit
Reference flow 160.0 m3/h
Pipe inner diameter 154.1 mm
Pipe length 320.0 m
Elevation rise 18.0 m
Supply voltage (line-to-line) 400.0 V
Transformer rating 45.0 kVA

Results

QuantityValueStoredUnit
Pump duty flow 159.956 159.95638849150328 m3/h
Pump duty head 44.6105 44.610466762039216 m
Pump shaft power 24.8759 24.875939677088613 kW (mechanical, at the coupling)
Motor real input power 26.7483 26.748322233428617 kW (real input, three-phase total)
Motor apparent power 30.7452 30.74519796945818 kVA (three-phase total)
Motor line current 44.3769 44.376870809887535 A (line RMS)
Feeder voltage drop 5.52116 5.521160787819607 V (line-to-line)
Feeder drop 1.3615 1.3614975793355548 percent of the sending-end voltage
Transformer loading 0.683227 0.6832266215435151 fraction of rated kVA
Transformer efficiency 0.982368 0.9823677267646782 fraction

The Value column is a rounded presentation; the Stored column is the full-precision number the tool returns and the record keeps.

The steps it dispatched

StepWhat it establishes
pipe_system friction and fittings head of the pipe run at the reference flow, from Darcy-Weisbach with the caller's actual inner diameter, roughness and total fittings K
system_curve the system curve the pump must work against: static head from the elevation rise plus the boundary pressure difference in head, and the quadratic resistance coefficient k = head_loss / flow^2
pump_duty the duty point where the supplied pump curve crosses that system curve, by bounded interpolation of the supplied points only
shaft_power hydraulic power rho*g*Q*H at the duty point and the shaft power it demands through the stated pump efficiency
motor_demand the motor's real, reactive and apparent electrical demand and line current at that shaft load, on the stated efficiency and power factor AT the load
feeder_loading voltage drop of the one feeder carrying that motor current, from the caller's per-km series impedance and length
transformer_load_fraction the transformer's load fraction: the motor's apparent power over the transformer's kVA rating
transformer_loading the transformer's percent R and X on its rated kVA base, plus loss and efficiency bookkeeping at that load fraction when the losses are declared
Sign in with Google

Signing in with Google creates your account. Access to chat, the API and MCP is switched on once an administrator approves it, so you may wait a little before your first calculation. No card is asked for at any point.