Technol Econ Smart Grids Sustain Energy (2017) 2: 15
DOI 10.1007/s40866-017-0033-6
ORIGINAL PAPER
Distributed Energy Management of PV-Storage Systems
for Voltage Rise Mitigation
Bananeh Ansari
1
· Marcelo G. Simoes
1
Received: 18 August 2016 / Accepted: 28 August 2017 / Published online: 8 September 2017
© Springer Nature Singapore Pte Ltd. 2017
Abstract This paper develops a distributed consensus-
based energy management scheme (EMS) for multiple pho-
tovoltaics+energy storage systems (PV+ESS) connected to
a smart distribution network. First, each customer individ-
ually determines the optimal size and initial scheduling
of ESS to be installed in parallel with PV over a day-
ahead planning horizon. The objective of installing ESS is
to reduce the electricity bill while minimizing ESS aging
effect. Then, after the day-ahead planning, customers man-
age their system in a near real-time fashion to account for
voltage conditions in order to avoid voltage-rise-associated
curtailments. Customers along the feeder communicate with
each other and exchange information about voltage devi-
ation at their nodes in order to reach a consensus about
average voltage situation in the distribution network. Based
on voltage situation, EMS updates the lower bound on net
power exchange with the grid for the hour ahead. Also,
an iterative method is proposed to determine the lifetime
of ESS and the economic benefits gained over the life-
time. Simulation results for IEEE 33-bus test system prove
the effectiveness of the proposed EMS and its financial
viability.
Keywords Energy management · Energy storage ·
Distribution networks · Photovoltaics · Voltage rise
mitigation
Bananeh Ansari
bansari@mines.edu
1
1600 Illinois St., Golden, CO 80401, USA
Nomenclature
Electric Power Distribution System
t Time step [h] for day-ahead planning, [yr] for
economic analysis
T Planning horizon [h]
π
t
Electricity price [$/kWh]
λ Unit cost of storage [$/kWh]
ζ
B
Aging coefficient
η
B
Battery round-trip efficiency
C
B,nom
Battery nominal capacity [kWh]
C
B
t
Effective battery capacity [kWh]
C
B
t
Battery capacity degradation [kWh]
P
net
t
Net real power purchase from the grid [kW]
P
B
+
t
Battery charge rate measured at the output of the
converter [kW]
P
B
−
t
Battery discharge rate measured at the output of the
converter [kW]
E
B
t
Stored energy in the battery [kWh]
s
B
t
Battery state-of-charge (SOC)
d
B
Battery minimum depth-of-discharge (DOD)
P
PV
t
PV power generation [kW]
P
D
t
Real power demand [kW]
i Node index
N Total number of nodes in the distribution network
V
max
Maximum allowable voltage [p.u.]
V
t,i
Node voltage [p.u.]
δV
t,i
Voltage deviation [p.u.]
δ V
t
Average voltage deviation from [p.u.]
Multi-agent System
k Dynamic system time step
i Agent index