Photovoltaic (PV) microgrids operating in the islanding mode are more susceptible to stability problems, due to the fluctuation of PV output power and weak system structures. In this paper, a coordinated optimization method considering the time-delay effect of islanded PV microgrids based on the modified backtracking search algorithm is proposed to improve the stability of PV on the condition of suffering small disturbances. First, the small signal model of PV microgrid considering time-delay characteristics of the inverter, which consists of a PV array, batteries, dc/ac inverters, and loads, is studied. Then, the range of controller parameters are obtained by analysing small signal stability using the technique of eigenvalue analysis. Finally, a coordinated optimization objective function is built and the modified Backtracking search algorithm is adopted to optimize the parameters. The simulation results show that the proposed method is effective for improving the stability of PV microgrids when suffering small disturbance.
References
1.
F.
Katiraei
and M. R.
Iravani
, “Power management strategies for a microgrid with multiple distributed generation units
,” IEEE Trans. Power Syst.
21
(4
), 1821
–1831
(2006
).2.
Y.
Han
, W.
Chen
, and Q.
Li
, “Energy management strategy based on multiple operating states for a photovoltaic/fuel cell/energy storage DC microgrid
,” Energies
10
(1
), 136
(2017
).3.
J. M.
Guerrero
, J.
Matas
, L. G. D.
Vicuna
et al., “Decentralized control for parallel operation of distributed generation inverters using resistive output impedance
,” IEEE Trans. Ind. Electron.
54
(2
), 994
–1004
(2007
).4.
Q.
Li
, W.
Chen
, Z.
Liu
et al., “Net power control based on linear matrix inequality for proton exchange membrane fuel cell system
,” IEEE Trans. Energy Convers.
29
(1
), 1
–8
(2014
).5.
H.
Yang
, Y.
Qiu
, Q.
Li
et al., “A self-convergence droop control of no communication based on double-quadrant state of charge in DC microgrid applications
,” J. Renewable Sustainable Energy
9
(3
), 798
–801
(2017
).6.
G.
Wang
, M.
Ciobotaru
, and V. G.
Agelidis
, “Power smoothing of large solar PV plant using hybrid energy storage
,” IEEE Trans. Sustainable Energy
5
(3
), 834
–842
(2014
).7.
N.
Pogaku
, M.
Prodanovic
, and T. C.
Green
, “Modeling, analysis and testing of autonomous operation of an inverter-based microgrid
,” IEEE Trans. Power Electron.
22
(2
), 613
–625
(2007
).8.
Y.
Wang
, X.
Wang
, F.
Blaabjerg
et al., “Small signal stability analysis of inverter-fed power systems using component connection method
,” IEEE Trans. Smart Grid
PP
(99
), 1
(2016
).9.
A.
Golshani
, S. M. T.
Bathaee
, and S. M.
Moghaddastafreshi
, “Small signal stability analysis of photovoltaic array based on averaged switch modeling technique
,” J. Renewable Sustainable Energy
4
(4
), 043117
(2012
).10.
Y. T.
Tan
, D. S.
Kirschen
, and N.
Jenkins
, “A model of PV generation suitable for stability analysis
,” IEEE Trans. Energy Convers.
19
(4
), 748
–755
(2004
).11.
H.
Liu
, L.
Jin
, D.
Le
et al., “Impact of high penetration of solar photovoltaic generation on power system small signal stability
,” in International Conference on Power System Technology
(IEEE
, 2010
), pp. 1
–7
.12.
B.
Tamimi
, C.
Cañizares
, and K.
Bhattacharya
, “System stability impact of large-scale and distributed solar photovoltaic generation: The case of Ontario, Canada
,” IEEE Trans. Sustainable Energy
4
(3
), 680
–688
(2013
).13.
W.
Du
, H.
Wang
, and L. Y.
Xiao
, “Power system small signal stability as affected by grid-connected photovoltaic generation
,” Eur. Trans. Electr. Power
22
(5
), 688
–703
(2012
).14.
S.
Balathandayuthapani
, C. S.
Edrington
, S. D.
Henry
et al., “Analysis and control of a photovoltaic system: Application to a high-penetration case study
,” IEEE Syst. J.
6
(2
), 213
–219
(2012
).15.
W.
Du
, H. F.
Wang
, and R.
Dunn
, “Power system small signal oscillation stability as affected by large-scale PV penetration
,” in International Conference on Sustainable Power Generation and Supply, 2009, SUPERGEN
(IEEE
, 2009
), pp. 1
–6
.16.
N.
Bottrell
, M.
Prodanovic
, and T. C.
Green
, “Dynamic stability of a microgrid with an active load
,” IEEE Trans. Power Electron.
28
(11
), 5107
–5119
(2013
).17.
X.
Wang
, F.
Blaabjerg
, M.
Liserre
et al., “An active damper for stabilizing power-electronics-based AC systems
,” IEEE Trans. Power Electron.
29
(7
), 3318
–3329
(2014
).18.
E. A. A.
Coelho
, P. C.
Cortizo
, and P. F. D.
Garcia
, “Small signal stability for parallel-connected inverters in stand-alone AC supply systems
,” IEEE Trans. Ind. Appl.
38
(2
), 533
–542
(2002
).19.
C. A.
Macana
, E.
Mojica-Nava
, and N.
Quijano
, “Time-delay effect on load frequency control for microgrids
,” in IEEE International Conference on Networking, Sensing and Control
(IEEE
, 2013
), pp. 544
–549
.20.
M. F. M.
Arani
, A. R. I.
Mohamed
, and E. F.
El-Saadany
, “Analysis and mitigation of the impacts of asymmetrical virtual inertia
,” IEEE Trans. Power Syst.
29
(6
), 2862
–2874
(2014
).21.
R. G.
Wandhare
and V.
Agarwal
, “Novel stability enhancing control strategy for centralized PV-grid systems for smart grid applications
,” IEEE Trans. Smart Grid
5
(3
), 1389
–1396
(2014
).22.
S.
Dahal
, N.
Mithulananthan
, and T.
Saha
, “An approach to control a photovoltaic generator to damp low frequency oscillations in an emerging distribution system
,” in Power and Energy Society General Meeting
(IEEE
, 2011
), pp. 1
–8
.23.
R.
Shah
, N.
Mithulananthan
, and K. Y.
Lee
, “Large-scale PV plant with a robust controller considering power oscillation damping
,” IEEE Trans. Energy Convers.
28
(1
), 106
–116
(2013
).24.
P.
Civicioglu
, “Backtracking search optimization algorithm for numerical optimization problems
,” Appl. Math. Comput.
219
(15
), 8121
–8144
(2013
).25.
M. G.
Villalva
, J. R.
Gazoli
, and E. R.
Filho
, “Comprehensive approach to modeling and simulation of photovoltaic arrays
,” IEEE Trans. Power Electron.
24
(5
), 1198
–1208
(2009
).26.
W.
Chengshan
, L.
Yan
, P.
Ke
et al., “Coordinated optimal design of inverter controllers in a micro-grid with multiple distributed generation units
,” IEEE Trans. Power Syst.
28
(3
), 2679
–2687
(2013
).27.
M.-D.
Mostafa
and R. N.
Abd
, “Solving non-convex economic dispatch problem via backtracking search algorithm
,” Energy
77
, 372
–381
(2014
).© 2018 Author(s).
2018
Author(s)
You do not currently have access to this content.
