Estimates are normally used to calculate
the mission MTBF, but the best data to is actual failure information. Mohammad
Suri and Andre Perra in their paper in the Power Quality - September 1992
Proceedings entitled UPS Reliability and System Configurations used the
following actual MTBF figures which give a good estimate for determining
the positive effect of including bypass in an On-Line UPS.
| Required Reliability Formula
Entry |
MTBF Symbol Used |
Actual MTBF Value |
| UPS (Rectifier, Battery, Inverter) |
MTBFups |
31,000 hours |
| "High Quality" Utility |
MTBFutil |
100 hours |
| "Low Quality" Utility |
MTBFutil |
50 hours |
| Static Switch |
MTBFbypass |
500,000 hours |
| Mean Time To Repair |
MTTR |
6 hours |
Using these values, the MTBF of
the UPS alone, without an automatic bypass, is measured at 31,000 hours.
For a UPS with bypass, using these values, Suri and Perra determined that
the addition of a bypass circuitry, connected to a "high utility" source
with an MTBF of 100 hours, increases the mission MTBF of the system to
261,000 hours.
The same formula can be used for
a modular UPS. However, because the MTBF of the modular UPS can be greater
than 400,000 hours, the effects of the bypass MTBF and the equipment MTTR
on the overall mission reliability merit a closer look.
The Effect
Of The Utility Source On Mission MTBF
Graph 1 shows how the mission MTBF
varies for a range of utility MTBF values. For a UPS reliability of 400k
hours or more, an interesting thing happens. The bypass circuitry (MTBF
of 500k hours) reduces the overall mission reliability. This means that
having a bypass makes the UPS less reliable.
In countries or locations where the
utility MTBF is not "high quality," (MTBF < 100 hours) it may actually
be better not to include the bypass option in the UPS.
Graph 1:
Effect Of Utility MTBF On Mission
MTBF
The Effect
Of MTTR On Mission MTBF
Although the reliability of the utility
source affects the mission reliability of the UPS, the MTTR of the UPS
has a much bigger impact. Graph 2 assumes a high quality utility and shows
how an MTTR of less than 20 hours greatly affects the mission reliability
of the UPS. To achieve a very low MTTR, it is necessary to have a modular,
hot swappable UPS and a spare module available on site. Until recently,
UPS designs did not allow hot swapping a module while the UPS was powering
the load.
In a normal modular UPS, the UPS
has to be put on maintenance bypass (putting the load at risk) to change
a faulty module. If the repair module has to be shipped in, it may take
24 or 48 hours or even a week to repair the UPS. During this time, the
load is at risk.
In a UPS that allows the modules
to be swapped while the UPS is powering the load, it is not necessary to
use the maintenance bypass to change the faulty module and the UPS continues
to protect the critical load. Unlike a normal modular UPS, the load is
not at risk when a module fails because bypass is not used. If a spare
module is on site, it can be changed easily in 10 minutes or so, retaining
very high mission reliability.
Graph 2: Effect Of MTTR On
Mission MTBF
For Peace Of
Mind, Buy A Spare Module
A spare module is an excellent investment
that will cost about the same as the bypass
option. Having a spare module will
assure that the UPS can be repaired quickly. It is
important to point out that unlike
a normal UPS, which transfers to bypass when it fails, a modular redundant
UPS will continue to power the critical load when a module fails. So even
if a repair module has to be shipped in, the UPS will continue to protect
the load, but having a spare on site is highly recommended.
Achieving
An UPS MTBF Of Greater Than 400k Hours
New technologies, the use of fault
tolerant techniques and keeping a module in reserve make it possible to
achieve very high reliability through redundancy. The MTBF of a modular
redundant UPS can be estimated using:
1
|
= |
lups
|
= |
(S+1) * n! * lmodule
|
* |
(lmodule
]
|
|
MTBFups
|
|
|
|
(n-s-1)! * (s=1)!
|
|
MTBFbypass
|
u = 1/MTTR
n = number of modules,
s = number of modules in reserve
As an example of the benefit of keeping
one module in reserve, consider ten 1kVA modules operating in parallel
to power a 10kVA load with each module having an MTBF of 100k hours. The
mission MTBF is 9800 hours for this configuration given a cabinet MTBF
of 500k hours.
If 11 modules are used to power the
same 10kVA load, the mission MTBF is 442k hours for an MTTR of 24 hours.
The table below gives the mission MTBF for several MTTR values for a UPS
using modules in reserve.
| MTTR |
Number of Modules |
Modules in Reserve |
Cabinet MTBF |
Mission MTBF |
| 1 hour |
11 |
1 |
500,000 hours |
497,000 hours |
| 24 hours |
11 |
1 |
500,000 hours |
442,000 hours |
| 48 hours |
11 |
1 |
500,000 hours |
395.000 hours |
| 1 week |
11 |
1 |
500,000 hours |
260,000 hours |
| 1 week |
12 |
2 |
500,000 hours |
495,000 hours |
Note that for an MTTR of one week,
adding a second reserve module increases the mission MTBF to 495k hours.
Conclusions
The recent development of UPS configurations
that offer high reliability, fault-tolerance, hot- swappability and modularity
means that previously unobtainable high reliability figures are now possible.
This means peace of mind that the UPS will do its job, even if a module
fails, easy module swapping while the UPS in powering the load and no worrying
about the loss of critical data due to utility power problems.
To get the most out of your UPS:
-
Specify a fault-tolerant, hot swappable,
modular redundant UPS
-
Size the UPS to keep at least one module
in reserve.
-
Purchase a spare module
-
Don't buy the bypass option (Why waste
the money unless you really need it?)
REFERENCES
1. Suri, Mohammed and Perra, Andre
UPS Reliability and System Configuration,
Power Quality,
September 1992 Proceedings.
2. Lewis, E.E. Introduction To Reliability
Engineering. 1987, John Wiley& Sons , Inc. |