Cables & ProtectionSafety-sensitive
Overcurrent Protection Coordination Checker
Time-current coordination check between two inverse-time overcurrent devices at a specified fault current.
About this calculator
Radial protection coordination means the device closest to a fault (downstream) should clear it before the next device upstream, with enough time margin — the coordination time interval (CTI) — that the upstream device only operates as a backup if the downstream device fails. Standard inverse-time curves are defined by closed-form equations: IEC 60255 uses t = TMS · k / ((I/Is)^α − 1), and IEEE C37.112 uses t = TD · [A / ((I/I_pickup)^p − 1) + B], with k, α or A, B, p set by the curve shape (standard/moderately, very, or extremely inverse).
This calculator evaluates both devices' trip time at a fault current you specify, reports the resulting CTI, and flags whether it clears the target margin you set — commonly 0.3 seconds for electromechanical relays or 0.2-0.25 seconds for microprocessor-based relays with no intentional delay. It plots both curves on time-current axes so you can see the full margin across the current range, not just at the one evaluation point.
This checks coordination at a single fault current only — a complete coordination study checks the full overlapping current range between the two devices' pickup settings, verifies both devices clear before equipment damage curves (cable withstand, transformer through-fault curves), and accounts for instantaneous trip elements if present. Treat this as a fast check of one operating point, not a substitute for a full protective device coordination study.
Assumptions
- Standard IEC 60255 or IEEE C37.112 inverse-time curve equations, no instantaneous trip element modeled.
- Checks coordination at a single specified fault current, not the full overlapping current range.
- No CT ratio, relay pickup tolerance, or breaker interrupting time margin included — add these separately for a final coordination study.
When to use this calculator
Appropriate for
- Comparing two inverse-time overcurrent curves (IEC or IEEE) and reading the coordination time interval at a chosen fault current
- Teaching how pickup, time dial, and curve type shape a relay's operating time
- Early screening of a candidate device pair before a full coordination study
Not suitable for
- A protection coordination study of record — real studies include instantaneous elements, device tolerances, CT saturation, and damage curves across the full fault-current range
- Fuse, low-voltage breaker thermal-magnetic, or electromechanical device characteristics not represented by these standard curve equations
- Setting or verifying protective devices on a live installation without a qualified engineer's study
What this calculator does not cover
- Evaluates two devices at one fault-current point — a real coordination study sweeps the full range of fault currents and every series device pair.
- Uses the published IEEE C37.112 / IEC 60255 curve equations — actual relay implementations, setting tolerances, and CT saturation shift real-world curves.
- Inverse-time elements only: no instantaneous units, fuse curves, or transformer damage and inrush overlays on the comparison.
- As with every calculator on this site: results are preliminary and educational, are not verified for any specific installation, and must be reviewed against the applicable code edition and stamped by a licensed Professional Engineer before real-world use.
Frequently asked questions
What is coordination time interval (CTI)?
It's the time margin between when a downstream device clears a fault and when the upstream backup device would operate, at the same fault current. A sufficient CTI (commonly 0.3s for electromechanical relays) ensures the upstream device only trips if the downstream device fails to clear the fault.
What's the difference between IEC 60255 and IEEE C37.112 curves?
Both define families of inverse-time curves (standard/moderately, very, and extremely inverse) but with different equations and constants. IEC 60255 is common outside North America; IEEE C37.112 is the standard basis for North American protective relay curves.
Does a good CTI at one fault current guarantee coordination everywhere?
No — a full coordination study checks the CTI across the entire overlapping current range between the two devices, since curve shapes can cross or narrow the margin at different currents. This calculator checks one operating point at a time.
References
- IEEE Std C37.112 — Standard Inverse-Time Characteristic Equations for Overcurrent Relays
- IEC 60255-151 — Functional requirements for over/under current protection
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