This paper develops a new microgrid investment planning model that determines cost-optimal investment and operation of distributed energy resources (DERs) in a microgrid. We formulate the problem in a bilevel framework, using particle swarm optimization to determine investment and the DER-CAM model (Distributed Energy Resources Customer Adoption Model) to determine operation. The model further uses sequential Monte Carlo simulation to explicitly simulate power outages and integrates time-varying customer damage functions to calculate interruption costs from outages. The model treats nonlinearities in reliability evaluation directly, where existing linear models make critical simplifying assumptions. It combines investment, operating, and interruption costs together in a single objective function, thereby treating reliability endogenously and finding the cost-optimal trade-off between cost and reliability—two competing objectives. In benchmarking against a version of the DER-CAM model that treats reliability through a constraint on minimum investment, our new model improves estimates of reliability (the loss of load expectation) by up to 600%, of the total system cost by 6%–18%, of the investment cost by 32%–50%, and of the economic benefit of investing 27%–47%. Improvements stem from large differences in investment of up to 56% for natural gas generators, solar photovoltaics, and battery energy storage.

1.
A. K.
Basu
,
S.
Chowdhury
,
S.
Chowdhury
, and
S.
Paul
, “
Microgrids: Energy management by strategic deployment of DERs—A comprehensive survey
,”
Renewable Sustainable Energy Rev.
15
,
4348
4356
(
2011
).
2.
M.
Soshinskaya
,
W. H.
Crijns-Graus
,
J. M.
Guerrero
, and
J. C.
Vasquez
, “
Microgrids: Experiences, barriers and success factors
,”
Renewable Sustainable Energy Rev.
40
,
659
672
(
2014
).
3.
S.
Parhizi
,
H.
Lotfi
,
A.
Khodaei
, and
S.
Bahramirad
, “
State of the art in research on microgrids: A review
,”
IEEE Access
3
,
890
925
(
2015
).
4.
M.
Stadler
,
G.
Cardoso
,
S.
Mashayekh
,
T.
Forget
,
N.
DeForest
,
A.
Agarwal
, and
A.
Schonbein
, “
Value streams in microgrids: A literature review
,”
Appl. Energy
162
,
980
989
(
2016
).
5.
State of Connecticut, Department of Energy & Environmental Protection,
https://www.ct.gov/DEep/cwp/view.asp?a=4405&Q=508780 for “
Microgrid Program,”
accessed February
2019
.
6.
State of Massachusetts, Department of Energy Resources
, https://www.mass.gov/community-clean-energy-resiliency-initiative for “
Community Clean Energy Resiliency Initiative
,” accessed February
2019
.
7.
Massachusetts Clean Energy Center,
https://www.masscec.com/community-microgrids-program for “
Community Microgrids Program,”
accessed February
2019
.
8.
New Jersey Board of Public Utilities,
https://www.nj.gov/bpu/pdf/commercial/TC%20DER%20Microgrid%20Feasibility%20Study%20Application%20Final.pdf for “
Town Center Distributed Energy Resource Microgrid Feasibility Study Incentive Program
,” accessed February
2019
.
9.
California Energy Commission,
https://ww2.energy.ca.gov/contracts/PON-14-301 for “
PON-14–301—Demonstrating Secure, Reliable Microgrids and Grid-Linked Electric Vehicles to Build Resilient, Low-Carbon Facilities and Communities
,” accessed February 2019 (
2014
).
10.
California Energy Commission
, https://ww2.energy.ca.gov/contracts/GFO-17-302 for “
GFO-17-302—Demonstrate Business Case for Advanced Microgrids in Support of California's Energy and GHG Policies
,” accessed February 2019 (
2017
).
11.
New York State Energy Research and Development Authority
, https://www.nyserda.ny.gov/All-Programs/Programs/NY-Prize for “
NY Prize
,” accessed February 2019.
12.
Maryland Energy Administration,
https://energy.maryland.gov/Pages/Resiliency-Hub.aspx for “
Resiliency Hub,”
accessed February 2019.
13.
M. T.
Burr
,
M. J.
Zimmer
,
B.
Meloy
,
J.
Bertrand
,
W.
Levesque
,
G.
Warner
, and
J. D.
McDonald
, “
Minnesota microgrids: Barriers, opportunities, and pathways toward energy assurance
,” Final Report, Minnesota Department of Commerce (
2013
).
14.
C.
Lotspeich
, “
Resilient microgrids for Rhode Island critical services
,” Final Report, Rhode Island Office of Energy Resources (2016).
15.
P.
Asmus
, http://microgridmedia.com/microgrids-without-subsidy-check-ci-market for “
Microgrids without Subsidy? Check Out the C&I Market
,” accessed May 19, 2017 (
2017
).
16.
P.
Asmus
,
Market Data: Microgrids
(
Navigant Consulting, Inc.
,
2016
).
17.
A.
Wilson
,
Microgrid Deployment Tracker 2Q17
(
Navigant Consulting, Inc.
,
2017
).
18.
R.
Hanna
,
V.
Disfani
,
J.
Kleissl
, and
D.
Victor
, “
A new simulation model to develop and assess business cases for commercial microgrids
,” in
2017 IEEE North American Power Symposium (NAPS) (
2017
).
19.
R.
Hanna
, “
Business cases for microgrids: Modeling interactions of technology choice, reliability, cost, and benefit
,” PhD dissertation (
University of California
, San Diego, Department of Mechanical and Aerospace Engineering,
2017
).
20.
S.
Lahiri
,
O.
Bystrom
,
R.
Fioravanti
, and
N.
Tong
, “
Microgrid assessment and recommendations to guide future investments,” Report No. CEC-500-2015-071
(
2015
).
21.
Green Business Certification Inc.,
PEER Rating System Version 2.0
(
Green Business Certification Inc.
,
2018
).
22.
A.
Chittum
and
G.
Relf
, “
Valuing distributed energy resources: Combined heat and power and the modern grid
,”
Electr. J.
32
,
52
57
(
2019
).
23.
C.
Gamarra
and
J. M.
Guerrero
, “
Computational optimization techniques applied to microgrids planning: A review
,”
Renewable Sustainable Energy Rev.
48
,
413
424
(
2015
).
24.
R.
Billinton
and
R. N.
Allan
,
Reliability Evaluation of Power Systems
(
Springer US
,
1996
).
25.
T.
Lambert
,
P.
Gilman
, and
P.
Lilienthal
, “
Micropower system modeling with homer
,” in
Integration of Alternative Sources of Energy
(
John Wiley & Sons, Inc.
,
2006
), pp.
379
418
.
26.
A. S.
Siddiqui
,
C.
Marnay
,
J. L.
Edwards
,
R.
Firestone
,
S.
Ghosh
, and
M.
Stadler
, “
Effects of carbon tax on microgrid combined heat and power adoption
,”
J. Energy Eng.
131
,
2
25
(
2005
).
27.
J.
Eddy
,
N. E.
Miner
, and
J.
Stamp
, “
Sandia's microgrid design toolkit
,”
Electr. J.
30
,
62
67
(
2017
).
28.
N. D.
Laws
,
K.
Anderson
,
N. A.
DiOrio
,
X.
Li
, and
J.
McLaren
, “
Impacts of valuing resilience on cost-optimal PV and storage systems for commercial buildings
,”
Renewable Energy
127
,
896
909
(
2018
).
29.
A.
Jimenez
,
S. G.
Haase
, and
S.
Mathur
, “
Microgrid analysis tools summary,” Report No. NREL/PR-5000-70578
(
2018
).
30.
G.
Vallery
and
M.
Stadler
, “
Fort hunter liggett microgrid conversion
,” in paper presented at Military & Government Microgrids Summit, Arlington, Virginia (
2015
).
31.
R.
Billinton
and
W.
Li
,
Reliability Assessment of Electric Power Systems Using Monte Carlo Methods
(
Springer US
,
1994
).
32.
R.
Hanna
,
V.
Disfani
, and
J.
Kleissl
, “
Reliability evaluation for microgrids using crossentropy Monte Carlo simulation
,” in
2018 IEEE Conference on Probabilistic Methods Applied to Power Systems
(
2018
).
33.
M. J.
Sullivan
,
J.
Schellenberg
, and
M.
Blundell
, “
Updated value of service reliability estimates for electric utility customers in the United States,” Report No. LBNL-6941E
(
2015
).
34.
M.
Meiqin
,
J.
Meihong
,
D.
Wei
, and, and
L.
Chang
, “
Multi-objective economic dispatch model for a microgrid considering reliability
,”
in
2010 2nd IEEE International Symposium on Power Electronics for Distributed Generation (
2010
).
35.
M. E.
Khodayar
,
M.
Barati
, and
M.
Shahidehpour
, “
Integration of high reliability distribution system in microgrid operation
,”
IEEE Trans. Smart Grid
3
,
1997
2006
(
2012
).
36.
M. H.
Moradi
,
M.
Eskandari
, and
S. M.
Hosseinian
, “
Operational strategy optimization in an optimal sized smart microgrid
,”
IEEE Trans. Smart Grid
6
,
1087
1095
(
2015
).
37.
A.
Khodaei
,
S.
Bahramirad
, and
M.
Shahidehpour
, “
Microgrid planning under uncertainty
,”
IEEE Trans. Power Syst.
30
,
2417
2425
(
2015
).
38.
M.
Quashie
,
F.
Bouffard
, and
G.
Joos
, “
Business cases for isolated and grid connected microgrids: Methodology and applications
,”
Appl. Energy
205
,
105
115
(
2017
).
39.
N.
Ghorbani
,
A.
Kasaeian
,
A.
Toopshekan
,
L.
Bahrami
, and
A.
Maghami
, “
Optimizing a hybrid wind-PV-battery system using GA-PSO and MOPSO for reducing cost and increasing reliability
,”
Energy
154
,
581
591
(
2018
).
40.
S.
Wang
,
Z.
Li
,
L.
Wu
,
M.
Shahidehpour
, and
Z.
Li
, “
New metrics for assessing the reliability and economics of microgrids in distribution system
,”
IEEE Trans. Power Syst.
28
,
2852
2861
(
2013
).
41.
R.
Billinton
and
R.
Allan
, “
Power-system reliability in perspective
,”
Electron. Power
30
,
231
(
1984
).
42.
R.
Hanna
,
M.
Ghonima
,
J.
Kleissl
,
G.
Tynan
, and
D.
Victor
, “
Evaluating business models for microgrids: Interactions of technology and policy
,”
Energy Policy
103
,
47
61
(
2017
).
43.
R.
Eberhart
and
Y.
Shi
, “
Particle swarm optimization: Developments, applications and resources
,” in
Proceedings of the 2001 Congress on Evolutionary Computation
(
2001
), Vol.
1
, pp.
81
86
.
44.
M.
Clerc
,
Particle Swarm Optimization
(
Wiley
,
2006
).
45.
Y.
Shi
and
R.
Eberhart
, “
A modified particle swarm optimizer
,” in
1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (
1998
).
46.
R.
Poli
,
J.
Kennedy
, and
T.
Blackwell
, “
Particle swarm optimization
,”
Swarm Intell.
1
,
33
57
(
2007
).
47.
Y.
Shi
and
R. C.
Eberhart
, “
Population diversity of particle swarms
,” in
2008 IEEE Congress on Evolutionary Computation (IEEE World Congress on Computational Intelligence)
(
IEEE
,
2008
).
48.
M. J.
Sullivan
,
M.
Mercurio
, and
J.
Schellenberg
, “
Estimated value of service reliability for electric utility customers in the United States
,” Report No. LBNL-2132E (
2009
).
49.
M. J.
Sullivan
,
M. G.
Mercurio
,
J. A.
Schellenberg
, and
J. H.
Eto
, “
How to estimate the value of service reliability improvements
,” in
IEEE PES General Meeting
(
2010
).
50.
G.
Tollefson
,
R.
Billinton
, and
G.
Wacker
, “
Comprehensive bibliography on reliability worth and electrical service consumer interruption costs: 1980–90
,”
IEEE Trans. Power Syst.
6
,
1508
1514
(
1991
).
51.
C.-K.
Woo
and
R. L.
Pupp
, “
Costs of service disruptions to electricity consumers
,”
Energy
17
,
109
126
(
1992
).
52.
S.
Kufeoglu
and
M.
Lehtonen
, “
A review on the theory of electric power reliability worth and customer interruption costs assessment techniques
,”
in
2016 13th International Conference on the European Energy Market (EEM)
(
2016
).
53.
G.
Tollefson
,
R.
Billinton
,
G.
Wacker
,
E.
Chan
, and
J.
Aweya
, “
A Canadian customer survey to assess power system reliability worth
,”
IEEE Trans. Power Syst.
9
,
443
450
(
1994
).
54.
Department of Energy Commercial Reference Buildings,
https://www.energy.gov/eere/buildings/commercial-reference-buildings; accessed September 19, 2017 (
2015
).
55.
National Solar Radiation Data Base 1991–2005 Update: Typical Meteorological Year 3, https://rredc.nrel.gov/solar/old_data/nsrdb/1991-2005/tmy3; accessed September 19,
2017
.
56.
M.
Kurtovich
and
M.
Zafar
,
California Electric Reliability Investor-Owned Utilities Performance Review 2006–2015
(California Public Utilities Commission,
2016
).

Supplementary Material

You do not currently have access to this content.