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Engineering calculators
Transformer full-load current
Rated current on each winding of a three-phase transformer.
I = S / (√3 × V)
Safety-critical · verifyTransformer secondary fault current
Three-phase symmetrical fault current at transformer secondary terminals, with optional source impedance.
Isc = V / (√3 × (Zt + Zs)), Zt = Z% × V² / S, Zs = V² / Ssource
Safety-critical · verifyCable current & voltage drop
Three-phase voltage drop using cable resistance and reactance.
ΔV = √3 × I × L × (R cos φ + X sin φ)
Safety-critical · verifyEarthing conductor sizing (adiabatic)
Minimum conductor cross-section to withstand an earth fault for a given duration.
S = I × √t / k
Safety-critical · verifyCT knee-point check
Required knee-point voltage of a protection CT to avoid saturation for maximum through-fault.
Vk ≥ K × (If / N) × (Rct + 2Rlead + Rrelay)
Screening toolPower factor
Apparent power, power factor and current from active and reactive power.
S = √(P² + Q²), PF = P / S
Screening toolCapacitor bank sizing
Reactive compensation needed to correct to a target power factor.
Qc = P × (tan φ1 − tan φ2)
Screening toolHarmonic distortion (THD) check
Voltage THD from individual harmonic levels, compared with a planning limit.
THD = √(Σ Vh²) / V1 × 100
Screening toolBattery energy & runtime
Usable energy and runtime of a battery system at a constant load.
Runtime = Ah × V × DoD × η / Pload
Screening toolBESS C-rate & duration
Charge/discharge rate and duration of a battery energy storage system.
C-rate = P / E, duration = E / P
Screening toolTransformer sizing
Indicative transformer rating from maximum demand, growth and loading margin.
S = P / PF × (1 + growth) / loading
Screening toolMV cable charging current
Capacitive charging current of a screened MV/HV cable.
Ic = 2π × f × C × (V / √3) × L
Safety-critical · verifyArc-flash screening (Lee method)
Conservative open-air incident energy estimate for initial screening only.
E (J/cm²) = 2.142 × 10⁶ × V × Ibf × t / D² (V in kV, Ibf in kA, t in s, D in mm)
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