Making sense of time-current curves
By David G. Loucks, P.E., Eaton Corp. -- Plant Engineering, 10/15/2007 1:00:00 AM
An electrical fault should be cleared as fast as possible while containing the outage to the smallest possible area. This requirement, known as 'selective coordination,’ is met when overcurrent protective devices installed closest to the fault open before protective devices installed upstream.
One method of ensuring selective coordination is to examine each overcurrent device’s time-current curve (TCC) and verify for any value of current, that the protective device closest to the fault clears faster than any upstream device.
To interpret the curves, locate a value of current on the bottom axis and follow that line vertically until it intersects the first device curve (Fig. 1). That first curve will be the first device to trip. Continue vertically to the next curve. That is the next device to trip. The time difference between the rightmost edge of the first curve and the leftmost edge of the second curve is called the Coordination Time Interval (CTI). If a point is discovered where an upstream device opens before the downstream device opens, that system is not selectively coordinated (Fig. 2).
Fuses
Can you use current limiting (CL) fuses to achieve selective coordination? Certainly! But as with all engineering, there are compromises to consider. One concern is increased arc flash hazard. Most people assume that CL fuses reduce the arc flash hazard, at least compared to breakers. But a CL fuse’s arc flash performance degrades as the fault current is reduced.
This creates a problem for plant environments. While we can calculate the maximum fault current, we don’t know the actual fault current. Depending on the amount of corrosion, dust, the geometry and metallurgy of conduit or enclosure sheet steel, plus any fault arc impedance, you have different impedances in the path of the fault. Therefore maximum incident energy to which a worker could be exposed cannot be known when a circuit is protected by CL fuses. Section 1.2 of the IEEE Standard 242 (Buff Book) states that “maximum fault protection may not simultaneously provide adequate protection against lower level current faults, which may involve an arc that is potentially destructive.”
Breakers
Can you use circuit breakers to achieve selective coordination? Certainly! But here the main concern is a loss of selective coordination when a fault exceeds the instantaneous pick up of both the device closest to the fault and any device upstream.
Theoretical problems and real-world situations are different things. Think about real-world bolted faults. When multiple conductors per phase are improperly terminated, you could get a bolted fault, but that fault current must flow through those long conductors downstream from the breaker, reducing the fault magnitude.
Additionally, arc impedance is added to the path when a breaker opens. The first breaker to open will likely be the breaker closest to the fault because smaller breakers closer to the fault will have tripping mechanisms with lower mass compared to larger upstream breakers. The same current acting on a lower inertia mechanism results in faster opening compared to the larger upstream breakers. When that breaker closest to the fault opens first, its arc impedance forces a reduction in the current. If it is below the instantaneous pickup of the upstream breaker, selective coordination is achieved.
TCCs and selective coordination
When discussing selective coordination, note that TCCs for fuses and circuit breakers are properly displayed as a band – not a single line. If a TCC curve is shown as a single line, most likely it is the total clearing time curve, or perhaps an average clearing time curve. Note that because of the time difference between minimum melting time and total clearing time (or for breakers, pickup vs. total clearing time), a band must always be shown around that curve. Without this band, a user may accidentally create a selective coordination failure resulting from (hidden) curve overlap.
To coordinate devices, start at the load and select your protective device for that load. Next, select the next protective device upstream such that the TCC of the upstream device has at least 0.3 seconds of space between it and the downstream curve for all values of current. Attempting to coordinate more closely than this could result in curve overlap – especially if you have not field-verified the TCC. At high current levels, the corresponding clearing times will be much less than 0.3 seconds, meaning the curves will be extremely close together. This raises the possibility of overlap from even modest manufacturing tolerance differences. This is one of the reasons some jurisdictions only mandate selective coordination down to 0.1 seconds.
Coordination is affected by changes in the system. Protective device audits should be performed to ensure that changes to the system haven’t affected either selective coordination or arc flash safety. Verify that the proper rating, brand and type of each fuse is installed for each phase. Confirm that all breaker and protective relay settings match the study.
For breaker systems, perform time-to-trip tests to verify performance. For fused circuits, verify functionality of the disconnect switch and examine fuse ferrule, clips and switch mechanisms for signs of corrosion that may indicate internal, but hidden, corrosion to the fuse element which could change fuse trip characteristics. Review power quality meter logs looking for surges that could fatigue fuse elements.
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The images for this article are now posted. Thanks for your patience.
Jack Smith - 10/24/2007 3:08:00 PM CDT -
I have enabled popups and still can't see fig 1 & 2. Is there a HTML problem?
Larry D Gregory - 10/24/2007 2:18:00 PM CDT -
I'm not sure why the figures didn't get into the online version of the article. They appear in printed magazine okay. Anyway, this comment section doesn't allow web links to be posted, but if I spell out the link, you can go ahead and download the original document that included those figures. Point your browser to (www dot pps2 dot com slash figures) and you will be able to get the figures I reference in the paper.
Dave Loucks - 10/24/2007 9:44:00 AM CDT -
Please send fig. 1 and 2
Chas. Aquilina - 10/24/2007 8:01:00 AM CDT -
Great questions from Mr. Stankavich (and assume Mr. Miller too).
1) Regarding the instantaneous tripping issue, yes, if in fact both breakers were in the process of opening, then you would have a point-of-no-return and while the smaller breaker might open first, the upstream breaker would still trip eventually. But what I was talking about was not the breaker contacts opening, but rather the tripping mechanism within the breaker that tells the breaker when to trip. The larger breaker will have a larger, heavier tripping mechanism that must be accelerated with a force and/or distance greater than what would be required on a smaller breaker. When that smaller breaker tripping mechanism operates a few milliseconds before the big one, you add arc impedance to the circuit. And I agree about your testing comment. You couldn't guarantee that this would work in all cases. Another interesting reason that could explain why we don’t hear about selective coordination issues, at least from properly sized and set breakers, is this – the 2005 code mandates selective coordination on emergency systems. Emergency systems are fed from generators. Generators are not like utility sources in that a bolted fault on the output of a generator results in voltage collapse within a few milliseconds. For example, you will use a generator’s subtransient reactance (x’’d) to compute the peak current available, but this current decays as a result of the higher transient reactance (x’d) that appears in a few milliseconds. That looks, to the circuit at least, as if some impedance were suddenly switched into the system, just as if an arc had been added to the circuit. Interestingly, this is a well known issue, but overcurrent devices (fuses and breakers both) are only tested on sources that provide continuous, rated current. I have a personal theory that because of the ways fuses and breakers are tested versus the power systems to which they are applied, this could explain why we don’t see breaker selective coordination failure on emergency systems even though “theoretically†there should be problems.
2) Series Rated Breakers
Series rated breakers passing fault current that exceeds the rating of the downstream device will operate the upstream device first to clear the fault before the downstream device opens. This means that selective coordination is lost in series rated applications where the fault current exceeds the interrupting rating of the downstream device. Good point!
I get back to the issue that I find interesting, namely, we just don't hear of selective coordination failures in the field. It may be that nearly all faults are arcing faults and they don't generate enough current to cause problems. Even for those real bolted faults (typically happens when you have multiple cables per phase and the cables are terminated improperly), you have inserted that downstream cable impedance into the circuit and perhaps that drops the fault current below the instantaneous pickup of the upstream device.
I guess my biggest concern is to make sure engineers take a balanced approach in evaluating protection. I hear that some believe that installing a fuse will solve their selective coordination problems. We'll, the truth is that it does! However, it cause another set of problems that in my opinion should not be ignored. Look at the IEEE 1584 standard for example. 1584 provides calculations for how much arc flash energy will be produced from a fault. But look at how they calculate the fault current... by assuming zero ground impedance. I'm sure they were trying to be conservative (since zero ground impedance results in maximum fault current), but the problem is that on a current-limiting fuse-protected circuit, the arc flash hazard increases as the fault current decreases. The result is a lot of well meaning people are underestimating the danger associated with fuse protected systems. By only examining the performance at bolted fault current levels, the arc flash hazard is underestimated since after all unless you have superconductors, there is no such thing as zero impedance ground path back to the neutral of the transformer. For typical CL fuses, the incident energy increases by the square of the current reduction. That means if you cut the current in half, your incident energy would increase 4 times. This is counter-intuitive to many people. To make matters worse, while we can calculate the maximum fault current, we can't calculate the actual fault current. 1584 makes allowances for lower levels of current, but again, this is for phase-to-phase faults. Phase-to-ground faults are calculated based on zero impedance and that is not a real world reality.
Anyway, my point is that engineering is the art of compromise. The best design is one where the engineer has evaluated all the factors and made their decision. My goal in writing this article was to make sure some of these factors were recognized.
Thanks for the good questions!
Dave Loucks - 10/23/2007 1:30:00 PM CDT
Arc Flash U. is back for 2009
02/09/2010Arc Flash U Selective coordination test
06/01/2008






























