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REDUNDANCY
Concept and Forms of RedundancyHardware Redundancy
Comparison of the Passive and the Active Redundancy
Application ExamplesLecture 3
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Methods to Increase the Reliability
• simple system design with few parts vs. complex systems,
• using parts with small failure rate – high production cost,
• using parts with the same failure rates,
• redundant structure – to increase the reliability of a „weak” system,
• life ageing,
• tolerance analysis – Worst-Case Analysis, Mionte Carlo Simulation,
• Fault Tree Analysis,
• short operating time/small switching number,
• derating (reduced load),
• protection against the overload,
• maintenance strategies, preventive maintenance,
• diagnostics systems.
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Redundancy
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Concept of the Redundancy
• redundancy: use of some additional elements within the system which would not be
reqiured in a system that was free from all faults:
• the system is more complex than that needed simply to perform the required task,
• redundancy is required to increase the:
• reliability of the total system,
• intrinsic safety – (effects of a fault),
• increasing the reliability increases the intrinsic safety, but the redundancy that just
increases the intrinsic safety itself, decreases the reliability.
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Forms of the Redundancy
• main forms of the redundancy:
• structural:
• hardware,
• software,
• informal,
• functional,
• temporal (time),
• derating,
• eneregy,
• combnations of the above.
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Forms of the Redundancy
• the suttle is entirely dependent on its on-
board computers for many flight-critical
functions,
• failure of the computer systems could risk
not only the lives of the astronauts, but
also a vehicle costing several billion dollars
• combinations of the redundancy:
• HW, SW, fault detection, design diversity, fault
masking
• HW voting to provide fault masking, and each
processor also compares its result with those
reproduced by its neighbours
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Forms of the Redundancy
• hardware redundancy: the use of HW in addition to that which would be required to
implement the system in the abscence of faults, with the aim of detecting or tolerating
faults.
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Forms of the Redundancy
• software redundancy: the use of SW in addition to that which would be required to
implement the system in the abscence of faults, with the aim of detecting or tolerating
faults.
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Forms of the Redundancy
• information redundancy: the use of information in addition to that required to
implement a given function, with the aim of detecting or tolerating faults.
• parity bits,
• error detecting or correcting codes,
• checksum.
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Forms of the Redundancy
• temporal (time) redundancy: the use of time in addition to that required to implement
a given function, with the aim of detecting or tolerating faults.
• repeating calculations and comparing the results obtained,
• detect transient faults,
HARDWARE REDUNDANCY
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Hardware Redundancy
• in order to increase the reliability:
• component (part),
• unit,
• device (appliance),
• entire system
• with the same parts: protection against the random failures
• with different parts: protection against the common-cause failures
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Hardware Redundancy
• in a redundant structure, the entire system remain operational in a case of a failure,
depending on the degree of the redundancy of components, units, devices and system,
• it is possible to construct a system with high reliability with components whose reliability
is low:
• if n=6, and 𝑅1=𝑅2 = ⋯ = 𝑅𝑛 = 0.3
• 𝑅𝑠𝑦𝑠 𝑡 = 1 − 1 − 𝑅 𝑡𝑛= 1 − 0.76 = 0.88 ≫ 0.3
• important to note: it must to check the existence of the redundancy continously, or
with appropriate frequency
E1
E2
En
1
2
n
R1(t)
R2(t)
Rn(t)
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Forms of the Hardware Redundancy
• Passive Redundancy/ Cold Standby
• switched („1 out of n” or 1oo n),
• N-modular („k out of n),
E1
E2
E3
E1 E2
E3
E1 E2
E3 E2
E1 E3
V
B
V
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Passive Redundancy
• In the case of the passive redundancy, the spare parts (components, units, devices) will
take over workflow, if the basic parts fail. Under normal operational conditions, the
spare parts are switched off.
• advatage: the using of spare parts starts later, it means significantly longer lifetime,
• disadvantage: a switching process is needed, from seconds to several minutes (hours). Durning the
switching process, the system is out of operation.
• the passive redundancy can be realized by:
• bulit-in units,
• spare (replaceable) units.
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Ideal and Real Switch
• ideal switch:• switching time ts=0,
• lifetime Ts=∞,
• real switch:• switching time (ts>0), it has to maximalize based on the process controlled, lifetime (Ts<∞), it has to be much
more, than the lifetime of the switched units, due not to reduce the lifeteime substantially of the entiresystem,
• the switching process depends on the switching time and the starting process (initialization) ofthe standby system,
• the switching process can be ralized by:• manually,
• automatically.
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Forms of the Hardware Redundancy
• Active Redundancy / Hot Standby
• not switched (parallel, „1 out of n”)
• switched („1 out of n”)
E1
E2
E3
E1
E2
E3
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Forms of the Hardware Redundancy
• Active Redundancy / Hot Standby
• N-modular („k out of n”),
• N modular with voting logic („k out of n with voter”), E1
E2
E3
V
E1 E2
E3
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Active Redundancy
• In the case of the active redundancy, the spare parts (components, units, devices) are
working together with the basic parts.
• advantage: switching process is not needed (or it takes very short time), thus the spare parts are
ready immediately to continue the operation,
• disadvantage: the spare parts are working together with the basic parts, thus the increasing of the
lifetime is lower than in the case of the passive redundancy
• Warm Standby:
• the spare system runs in the background of the primary system,
• data is mirrored to the spare element at regular intervals - fastest switching process
COMPARISON OF THE PASSIVE AND
THE ACTIVE REDUNDANCY
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Expected Lifetime
0
1
2
3
4
5
6
7
8
1 2 3 4 5 6 7 8
Active
Passive
T
n
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Reliability
0
0,25
0,5
0,75
1
Active, n=2
Passive, n=2
Without Redundancy
tRs
t
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Failure rate
Active, n=2
Passive, n=2
ts
t
1
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Redundancy with Real Switch
0,8
0,9
1
Passive, r=100%
Passive, r=90%
Passive, r=80%
Active (paralell)
r=R(t) of the switch
tRs
t
n = 2
APPLICATION EXAMPLES
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Parallel Redundancy – Serial Electronic Connection
• Target: one failure do not cause a hazardous situation!
K1 K2
UT
+U
λsw≈ λshort circuit
two-tier separation
λdiode≈ λshort circuit
λ≈ λshort circuit + λinterruption
λinterruption λshort circuit
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Parallel Redundancy – Serial Electronic Connection
• Target: the unit operates continously in a case of a failure:
~
+U
λ≈ λinterruption
λ≈ λinterruption
λshort circuit = λinterruption
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Uninterruptible Power Supply (UPS)
~
=
=
~
=
=
Direct Current
Uninterruptible Alternate Current
Residental
Network 2. network, diesel
Battery Bank
2x
2x
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Uninterruptible Power Supply (UPS)
~
=
=
~
=
=
Direct
Consumers
Uninterruptible
Direct Current
Uninterruptible
Alternate Current
Residental
network 2. network, diesel
Battery Bank
2x2x
2x
End of Lecture 3.
Thank you for your attention!