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The authors consider the problem of joint optimal placement of phasor measurement units (PMUs) and conventional power flow measurements to ensure observability under faulted conditions in power systems. The formulation is initially posed as a non-linear integer programming problem and then transformed into an equivalent integer linear programming (ILP) problem through boolean implications. The resulting ILP problem is solved for the optimal solution on IEEE 14, 30, 57 and 118 bus systems and a large 2383 bus Polish system. The placement results obtained with the proposed formulation require fewer PMUs for fault observability compared with systems with fixed locations of conventional measurements. The results thus potentially provide a more economical solution to observability under faults compared with those obtained solely with PMU placement.
References
-
-
1)
-
D. Dua ,
S. Dambhare ,
R.K. Gajbhiye ,
S.A. Soman
.
Optimal multistage scheduling of PMU placement: an ILP approach.
IEEE Trans. Power Deliv.
,
4 ,
1812 -
1820
-
2)
-
S. Chakrabarti ,
E. Kyriakides ,
D.G. Eliades
.
Placement of synchronized measurements for power system observability.
IEEE Trans. Power Deliv.
,
1 ,
12 -
19
-
3)
-
Hajian, M., Ranjbar, A.M., Amraee, T., Shirani, A.R.: `Optimal placement of phasor measurement units: particle swarm optimization approach', Proc. Int. Conf. Intelligent Systems Applications to Power Systems, 2007.
-
4)
-
T.L. Baldwin ,
L. Mili ,
M.B. Boisen ,
R. Adapa
.
Power system observability with minimal phasor measurement placement.
IEEE Trans. Power Syst.
,
2 ,
707 -
715
-
5)
-
Pokharel, S.S., Brahma, S.: `Optimal PMU placement for fault location in a power system', Proc. 41 North American Power Symp., 2009.
-
6)
-
Korkali, M., Abur, A.: `Placement of PMUs with channel limits', Proc. IEEE PES General Meeting, 2009, p. 26–30.
-
7)
-
F. Aminifar ,
C. Lucas ,
A. Khodaei ,
M. F-Firuzabad
.
Optimal placement of phasor measurement units using immunity genetic algorithm.
IEEE Trans. Power Deliv.
,
3 ,
1014 -
1020
-
8)
-
MATPOWER: See URL http://www.pserc.cornell.edu/matpower.
-
9)
-
C. Rakpenthai ,
S. Premrudeepreechacharn ,
S. Uatrongjit ,
N.R. Watson
.
An optimal PMU placement method against measurement loss and branch outage.
IEEE Trans. Power Deliv.
,
1 ,
101 -
107
-
10)
-
A.G. Phadke
.
Synchronized phasor measurements in power systems.
IEEE Comput. Appl. Power
,
2 ,
10 -
15
-
11)
-
B. Xu ,
A. Abur
.
Observability analysis and measurement placement for systems with PMUs.
IEEE Power Systems Conf. Expo.
,
943 -
946
-
12)
-
S. Chakrabarti ,
E. Kyriakides
.
Optimal placement of phasor measurement units for power system observability.
IEEE Trans. Power Syst.
,
3 ,
1433 -
1440
-
13)
-
F.J. Marin ,
F. G-Lagos ,
G. Joya ,
F. Sandoval
.
Genetic algorithms for optimal placement of phasor measurement units in electric networks.
Electron. Lett.
,
19 ,
1403 -
1405
-
14)
-
B. Milosevic ,
M. Begovic
.
Nondominated sorting genetic algorithm for optimal phasor measurement placement.
IEEE Trans. Power Syst.
,
1 ,
69 -
75
-
15)
-
Emami, R., Abur, A.: `Reliable placement of synchronized phasor measurements on network branches', Proc. IEEE/PES PSCE, 2009, p. 15–18.
-
16)
-
Eastern Interconnection Phasor Project Performance Requirements Task Team (PRTT): Responses summary to questionnaire on PMU installation and maintenance, 2006. See URL http://phasors.pnl.gov/resourcesperformance.html.
-
17)
-
T. Achterberg
.
(2007)
Constraint Integer programming.
-
18)
-
K.P. Lien ,
C.W. Liu ,
C.S. Yu ,
J.A. Jiang
.
Transmission network fault location with minimal PMU placement.
IEEE Trans. Power Deliv.
,
3 ,
1128 -
1136
-
19)
-
D. Novosel ,
V. Madani ,
B. Bhargava ,
K. Vu ,
J. Cole
.
Dawn of the grid synchronization.
IEEE Power Energy Mag.
,
1 ,
49 -
60
-
20)
-
A. Aminifar ,
A. Khodaei ,
M.F. Firuzabad ,
M. Shahidehpour
.
Contingency-constrained PMU placement in power networks.
IEEE Trans. Power Syst.
,
1 ,
516 -
523
-
21)
-
B. Gou
.
Generalized integer linear programming formulation for optimal PMU placement.
IEEE Trans. Power Syst.
,
3 ,
1099 -
1104
-
22)
-
D.J. Brueni ,
L.S. Heath
.
The PMU placement problem.
SIAM J. Discrete Math.
,
3 ,
744 -
761
-
23)
-
R.F. Nuqui ,
A.G. Phadke
.
Phasor measurement unit placement techniques for complete and incomplete observability.
IEEE Trans. Power Deliv.
,
4 ,
2381 -
2388
-
24)
-
Korkali, M., Abur, A.: `Reliable measurement design against loss of PMUs with variable number of channels', Proc. 41 North American Power Symp., 2009.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-gtd.2010.0791
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