Description
Calculate the operating current (Ib) of electrical equipment based on active power, voltage, power factor, and coincidence factor—essential for sizing cables, breakers, and protection devices in AC systems.
This tool helps engineers, electricians, and designers determine the actual running current under real-world conditions, including multiple loads with varying usage patterns.
Supports:
- Single-phase, two-phase, and three-phase AC systems
- Standard voltages (e.g., 230V L-N, 400V L-L)
- Custom voltage input
- Adjustable power factor (cosφ)
- Adjustable coincidence factor (Fc) for group load estimation
- Input via active power (P) or apparent power (S)
Key Formulas
Single-phase:
I
b = (F
c × P) / (U
0 × cosφ)
I
b = (F
c × S) / U
0
Two-phase:
I
b = (F
c × P) / (U × cosφ)
I
b = (F
c × S) / U
Three-phase:
I
b = (F
c × P) / (√3 × U × cosφ)
I
b = (F
c × S) / (√3 × U)
Apparent Power:
S = √(P² + Q²)
Variables:
- Ib: Operating current (A)
- Fc: Coincidence factor (0–1)
- P: Active power (W)
- Q: Reactive power (VAr)
- S: Apparent power (VA)
- U0: Line-to-neutral voltage (V)
- U: Line-to-line voltage (V)
- cosφ: Power factor (0.1–1.0)
Example
Three-phase system, 400 V (L-L), 10 kW, PF = 0.85, F
c = 1.0
→ Operating current ≈ 19.5 A
Frequently Asked Questions (FAQ)
What is operating current?
Operating current (Ib) is the actual current drawn by equipment during normal operation, adjusted for load diversity using the coincidence factor.
Why include coincidence factor?
Because not all loads operate at full capacity simultaneously. For example, a factory may have 10 motors, but only 7 run at once → use Fc = 0.7 to avoid over-sizing circuits.
Can I use this for DC systems?
No—this calculator is designed for AC systems only. For DC, use I = P / V (no √3 or power factor).
How do I find the power factor if I don’t know it?
Use typical values: 0.8–0.9 for motors, 0.95–1.0 for resistive loads (heaters, lighting). You can adjust it to see how current changes.
Applications
- Electrical Design: Size conductors, circuit breakers, and fuses based on actual load demand.
- Panel Load Calculation: Estimate total current for multiple devices using coincidence factor.
- Energy Audits: Convert nameplate data into real-world current draw.
- Renewable Integration: Calculate inverter output current with partial load factors.
- Educational Use: Teach students about AC power relationships and load diversity.
Who Should Use This Tool?
- Electrical engineers designing LV distribution systems
- Electricians installing motors, pumps, or HVAC systems
- Maintenance technicians troubleshooting overloads
- Facility managers planning upgrades or expansions
- Students learning AC power fundamentals