Formula library

Protection Coordination Time Interval

\[CTI=t_{upstream}-t_{downstream}\]

Variables

CTIcoordination time interval (s)
tupstreamupstream relay operating time (s)
tdownstreamdownstream relay operating time (s)

Description

What is this formula?


The Protection Coordination Time Interval (CTI) is the time margin between the operation of two protective devices arranged in series. It ensures that the downstream device clears the fault before the upstream device operates.


When to use it


Use this formula when coordinating relays, fuses, reclosers, and other protective devices in electrical distribution and transmission systems.


Example


A protection system has:


Upstream relay operating time = 0.85 s


Downstream relay operating time = 0.45 s


Formula:


CTI = tupstream − tdownstream


Substitution:


CTI = 0.85 − 0.45


Result:


CTI = 0.40 s


Applications


Relay coordination studies


Substation protection design


Distribution feeder protection


Fuse-relay coordination


Power system reliability analysis


Note


The required coordination interval depends on relay technology, breaker operating time, relay overshoot, CT errors, and utility standards. Typical coordination margins are often between 0.2 s and 0.5 s, although the exact value varies by application and protection philosophy.

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