Table 3 Main characteristics of selected publications – accounting for model uncertainty,
measurements uncertainty and choice of using a single leak/burst size or multiple leak/burst sizes
in the proposed optimal sensor placement frameworks
Model uncertainty
Measurements
uncertainty
Leak/burst magnitude –
single/multiple
Farley et al.
[30]
No
No
Multiple – but one at a
time
Farley et al.
[11]
No
No
Single
Pérez et al.
[31]
No
No
Single
Casillas
et al. [39]
No
Yes – incorporated in the
placement
method
Multiple – incorporated in
the placement method
Sarrate et al.
[42]
No
No
Single
Sarrate et al.
[44]
No
No
Single
Wu and
Song [49]
No
No
Multiple – performed
Monte Carlo simulations
Hagos et al.
[52]
Yes – demand uncertainty; introduced as random noise
No
Multiple – considered the
emitter discharge coefficient as a random variable
Huang et al.
[57]
No
No
Single
Candelieri
et al. [59]
No
No
Multiple – varying in a
given range
Boatwright
et al. [63]
No
No
Single
Blesa et al.
[73]
Yes – inflows variations; incorporated in the extended sensitivity
matrix
No
Multiple – varying in a
given range
Casillas
et al. [75]
No
Yes – incorporated in the
placement
method
Multiple – incorporated in
the placement method
Steffelbauer
and FuchsHanusch
[78]
Yes – demand uncertainty;
performed Monte Carlo simulations and used 4 different strength
of uncertainty
No
Single
Puleo et al.
[80]
Yes – demand uncertainty;
performed Monte Carlo
simulations
No
Single
Raei et al.
[84]
No
Yes – incorporated in the
placement
method
Multiple – varying in a
given range
Forconi
et al. [83]
No
No
Single
Review of Techniques for Optimal Placement of Pressure and Flow Sensors. . .
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measurements uncertainty and choice of using a single leak/burst size or multiple leak/burst sizes
in the proposed optimal sensor placement frameworks
Model uncertainty
Measurements
uncertainty
Leak/burst magnitude –
single/multiple
Farley et al.
[30]
No
No
Multiple – but one at a
time
Farley et al.
[11]
No
No
Single
Pérez et al.
[31]
No
No
Single
Casillas
et al. [39]
No
Yes – incorporated in the
placement
method
Multiple – incorporated in
the placement method
Sarrate et al.
[42]
No
No
Single
Sarrate et al.
[44]
No
No
Single
Wu and
Song [49]
No
No
Multiple – performed
Monte Carlo simulations
Hagos et al.
[52]
Yes – demand uncertainty; introduced as random noise
No
Multiple – considered the
emitter discharge coefficient as a random variable
Huang et al.
[57]
No
No
Single
Candelieri
et al. [59]
No
No
Multiple – varying in a
given range
Boatwright
et al. [63]
No
No
Single
Blesa et al.
[73]
Yes – inflows variations; incorporated in the extended sensitivity
matrix
No
Multiple – varying in a
given range
Casillas
et al. [75]
No
Yes – incorporated in the
placement
method
Multiple – incorporated in
the placement method
Steffelbauer
and FuchsHanusch
[78]
Yes – demand uncertainty;
performed Monte Carlo simulations and used 4 different strength
of uncertainty
No
Single
Puleo et al.
[80]
Yes – demand uncertainty;
performed Monte Carlo
simulations
No
Single
Raei et al.
[84]
No
Yes – incorporated in the
placement
method
Multiple – varying in a
given range
Forconi
et al. [83]
No
No
Single
Review of Techniques for Optimal Placement of Pressure and Flow Sensors. . .
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