TCC Curve Plotter
Time-current coordination in the browser. Put a relay, a fuse and a breaker on one log-log plot, drag a fault current across it, and see who operates first and by how much.
The margin is measured everywhere, not at the one fault current you were thinking about — which is the whole reason to draw the curves rather than compare two numbers.
Preparing the plot…
This tool is the work sample
The curve equations here are the ones our event analyzer grades relays against
That is not a coincidence — it is the same module. When our SEL event analyzer reads a fault record, it uses these functions to work out whether the relay's own settings should have operated when they did. Curves you can trust in one place are curves you can trust in the other.
What is deliberately missing says as much as what is here. There are no transformer or cable damage curves yet, because a damage curve is the line you are proving you stay left of and we would rather publish none than one we have not checked against a study we already trust.
How to read it
Lower and to the left operates first
Current runs along the bottom and operating time up the side, both on log scales because the quantities span decades. A device's curve is the promise it makes: at this current, I will operate in this long. The device whose curve sits lower at a given current gets there first.
Coordination is the requirement that at every current where two devices can both see the fault, the one nearer it operates first — and by enough that its breaker has finished interrupting before the device behind it runs out of patience. That gap is the coordination time interval.
The failure everyone is looking for is a crossover: two curves that swap order somewhere in the range. Below the crossing the scheme is selective and above it the upstream device trips first, clearing a fault it did not need to and taking healthy load out with it. It is easy to miss when you check margin at one fault value, and impossible to miss on a plot.
The curve families
How sharply operating time falls as current rises. Steeper curves coordinate better with fuses; shallower ones ride through inrush more comfortably.
U1 / C1
Moderately inverse / Standard inverse
Shallow — long tail
U2 / C2
Inverse / Very inverse
The common feeder choice
U3
Very inverse
Steeper through the knee
U4 / C3
Extremely inverse
Matches fuse shape closely
U5 / C5
Short-time inverse
Fast, for bus and interlock schemes
Both families are asymptotic at pickup: an element sitting exactly at its pickup current never times out at all, which is why the curves run vertically as they approach it rather than meeting the axis.
Questions
About This Tool
Where the maths comes from, what is modelled, and what deliberately is not.