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Electrical Power and Energy Systems
journal homepage: www.elsevier.com/locate/ijepes
Control strategy for AC-DC microgrid with hybrid energy storage under
different operating modes
Narsa Reddy Tummurua,⁎
, Ujjal Manandharb
, Abhisek Ukilc,⁎
, Hoay Beng Gooib
,
Sathish Kumar Kollimallab
, Swami Naidub
a
School of Computing and Electrical Engineering, Indian Institute of Technology Mandi, Himachal Pradesh 175005, India
b
School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore
c
Dept. of Electrical & Computer Engineering, 20 Symonds Street, 1010 Auckland, New Zealand
A R T I C L E I N F O
Keywords:
Battery
Dynamic energy management
Hybrid energy storage
Microgrid
Power quality
Supercapacitor
A B S T R A C T
In this paper, a control strategy is proposed for renewable-interfaced hybrid energy storage system (HESS) under
grid connected/islanding conditions. A second harmonic based phased locked loop (PLL) is employed for ef-
fective synchronization/resynchronization of the microgrid system under contingency conditions. The operation
and management of the microgrid system under both these modes are accomplished by an efficient adaptive
power management algorithm. A quantitative analysis on the HESS performance is provided in order to in-
vestigate the effectiveness of the proposed approach. Further, small signal average models are derived to
comment on the system stability. This approach address seamless transfer between the various sub-modes of the
system along with additional services such as power quality enhancement and power dispatch between various
sources. The effectiveness of the proposed scheme is verified by both simulation and experimental investigations.
1. Introduction
The stochastic nature of renewable energy sources (RES) coupled
with the unpredictable changes in the load, demands hybrid energy
storage systems (HESS) (such as batteries, supercapacitors etc.,) in the
present day microgrids [23,6,16]. The HESS support the renewable
energy producers and also system operators by providing many ancil-
lary services [12]. From the control perspective, the hybrid microgrids
(RES interfaced HESS) are classified into grid-interfaced and standalone
configurations. The stochastic nature of these RESs raise many technical
issues while operating in grid-interfaced and islanded modes [6,5,17].
In addition, the transition from one mode to another and vice versa, is
an important aspect that need to be considered while design of suitable
management schemes for reliable and continuous operation of these
hybrid microgrids.
1.1. Literature review
The energy management schemes (EMS) reported in Lu et al. [13]
extracts powers from the PV source, battery and supercapacitor, based
on the states of each of the individual source. However, the power
quality aspects on the ac side have not been addressed in their work.
The EMS based on model-predictive control reported in Hredzak et al.
[8] is limited to supercapacitor-battery hybrid in a DC microgrid en-
vironment by assuming a constant DC link voltage. Moreover, this
classical model predictive control relies on a discrete model of the
control system and a cost function, making it computationally in-
tensive. Similar performance as obtained in Hredzak et al. [8]is
achieved using a much simpler EMS reported in Hredzak et al. [7]
making it amenable to be implemented using normal controllers.
The micro grid voltage source converter (VSC) changes its man-
agement philosophy based on the connection/disconnection status of
the micro grid to the utility grid [15,4]. This mode change in the VSC’s
management philosophy is decided by islanding detection method. Is-
landing detection schemes can be divided into distant and native
modules. Distant methods rely on communication networks between
microgrid and utility [3] leading to high cost along with complexity. On
the other hand, native module comprising passive and active methods
use local measurements information at the point of common coupling
(PCC) [15]. The active islanding techniques intentionally introduce
disturbances at the output of the VSC’s to find if they affect the voltage,
frequency, or impedance parameters, in such case it is assumed that the
grid has been disconnected and the VSC is isolated from the load.
Moreover, active methods introduce a disruption and force wider
https://doi.org/10.1016/j.ijepes.2018.07.063
Received 19 September 2016; Received in revised form 7 March 2018; Accepted 26 July 2018
⁎
Corresponding author.
E-mail addresses: narasaiitm@gmail.com (N.R. Tummuru), ujjal001@e.ntu.edu.sg (U. Manandhar), a.ukil@auckland.ac.nz (A. Ukil),
ehbgooi@ntu.edu.sg (H.B. Gooi), skollimalla@ntu.edu.sg (S.K. Kollimalla), nksn@ntu.edu.sg (S. Naidu).
Electrical Power and Energy Systems 104 (2019) 807–816
Available online 07 August 2018
0142-0615/ © 2018 Elsevier Ltd. All rights reserved.
T
changes of the parameters after islanding event. Therefore, islanding
event can be distinguished even under small power perturbations.
Voltage drifting methods mainly use the under/over voltage in-
formation at the PCC and the respective relays initiate the islanding
event [20,9]. In few of frequency drifting schemes, the autonomous
system is enforced by moving the PCC frequency outside permissible
frequency limits. Active frequency drift [22], Sandia frequency shift
[19] and imaginary power variation [24] are the some of key fre-
quencies drifting methodologies. On the other hand, several methods
have been proposed in the literature by creating perturbations without
affecting the stability of the system [2,18,11,10]. However, these
methods degrade the power quality of the system.
1.2. Objective of the study
In this paper, a simple unified management philosophy is proposed
to provide uninterrupted supply to the load under grid connected and
islanded conditions. The proposed scheme uses a harmonic current
injection method that detects islanding event without affecting the
microgrid stability and also, enhances the power quality.
The main features obtained from the proposed scheme are:
• An effective power flow management at the DC link.
• Improved power quality features at the point of common coupling
under grid connected mode due to the attenuation of 2nd harmonic
of PCC voltage.
• Allows inherent current limits for both supercapacitor and battery
units.
• Seamless mode transfer between different modes.
• The islanding event can be detected in a short time by comparing an
exponential raise in second harmonic of PCC voltage with a suitable
threshold [as shown in Figs. 4 and 14].
In this paper, system configuration and proposed control strategy
are described in Section 2. Quantitative analysis on various function-
ality is described in Section 3. In Section 4, the stability analysis under
various modes is presented. Some of the results and discussion are
described in Section 5. Finally, concluding remarks are presented in
Section 6.
2. Hybrid AC-DC microgrid configuration and proposed control
strategy
The hybrid microgrid mainly consists of AC and DC microgrids
connected through controlled power electronic interfaces, as illustrated
in Fig. 1. A three-phase four-wire split capacitor VSC topology is used
on the AC side to exchange power between the AC and DC microgrids
effectively.Non-linear and unbalanced loads are connected on the AC
side, in order to test the additional capabilities of the proposed scheme
such as harmonic compensation, reactive power support, load balan-
cing and power factor correction under grid connected mode. A circuit
breaker (CB) is used to isolate the utility grid from hybrid microgrid
under contingency conditions. On the DC grid side, a photovoltaic (PV)
system is connected through a boost DC-DC converter topology to ex-
tract peak power from the PV panels and HESS is used to balance the
average and transient power flow at the DC grid. The AC-DC microgrid
system considered in this paper is shown in Fig. 1 with following no-
tations.
• v v v
, ,
B sc dc and vg are the battery, supercapacitor, DC link and grid
voltages.
• i i i
, ,
B sc ld and ivsc are the battery, supercapacitor, DC load, and VSC
currents.
• C C C C C
, , , ,
b sc db dsc dc and Cf are the battery, supercapacitor, DC link
side battery, DC link side supercapacitor, VSC DC link and VSC filter
capacitance’s, and L L L R
, , ,
B sc f L and Rlabc are the battery,
supercapacitor, VSC filter inductance of the DC and the AC side
loads, respectively.
• ′ ′ ′
S S S S S S S S S S
, , , , , , , , ,
a b c a b c p b b s
1 2 1 and S s
2 are the control switches of
VSC, PV converter, battery converter and supercapacitor converter,
respectively.
A control strategy has been proposed in this paper for continuous
operation of aforementioned microgrid under different operating
modes as shown in Fig. 2. The transient and average powers are sepa-
rated by a low pass filter and rate-limiter (RTL). These powers are fed to
the islanding and grid power management (IPM & GPM) modules. The
battery and supercapacitor management priorities are embedded in
GPM and ISM modules respectively. The status of selector switches (SS1
& SS2) is decided by the islanding detection (ISD) algorithm and based
on this signal the selector switch passes corresponding battery and su-
percapacitor reference values to control stages. The voltage source
converter will change its mode of operation from grid interface/con-
nected to islanding and vice versa based on activating signal from the
ISD.
The details of aforementioned functional blocks in grid connected
and islanding modes of the AC-DC microgrid are described in the fol-
lowing subsections.
2.1. Energy Storage Unit’s Monitoring
The depth of discharge (DoD) status of the energy storage units is
computed and monitored using the following mathematical equations
[14].
∫
= −
DoD t DoD
N
i dt
( )
1
3600
j oj
Cj
j
(1)
where j=B or SC, DoDo, and NC are the battery, supercapacitor, initial
DoD of energy storage system (ESS) units and nominal capacity re-
spectively. The computed DoDs of the battery and the supercapacitor
units are fed to the IPM and GPM modules. Based on the status of the
energy storage devices, the power management objectives are defined
in these modules.
2.2. Islanding detection method and operating modes
The islanding detection method used in this work is shown in Fig. 3.
Under grid connected mode, the voltage at the point of common cou-
pling (PCC) is imposed by the utility grid, and its waveform is not al-
tered by islanding detection algorithm. This grid voltage template is
used for generation of VSC reference currents (ir) under grid connected
mode. Whereas, in case of islanding the PCC voltage follows the wa-
veform of current injected by the voltage source converter [21] and the
idea of this ISD algorithm is explained as follows,
A small perturbation is generated by modification in the phase
signal of the phase locked loop (PLL) as shown in Fig. 3, so that the
angle of VSC current reference is changed according to the following,
= +
θ θ K cos θ
( )
vsc (2)
= +
cos θ cos θ K cos θ
( ) { ( )}
vsc (3)
After simplification, the VSC reference current is given as follows,
≅ −
cos θ cos θ
K
sin θ
( ) ( )
2
(2 )
vsc
(4)
The islanding detection method is based on measuring second har-
monic of the PCC voltage waveform and corresponding feedback signal
(ϑ), control signal under change over from one mode to another are
illustrated in Fig. 4. Fig. 4(a) shows the feedback (ϑ) and delayed sig-
nals from the ISD algorithm. At t=t1, the grid is switched off. As a
result, the feedback signal is more than ϑmin and therefore, ISD algo-
rithm sends activation signal to the CB as shown in Fig. 4(b). At t=t2,
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
808
the grid is reconnected and hence the feedback signal becomes zero. In
this case, ISD algorithm sends deactivation signal to CB. The VSC cur-
rent reference and phase of the PLL with K = 0 and 0.8 are illustrated in
Fig. 4(c). The larger values of K will make the grid current non-sinu-
soidal and therefore, one has to select an appropriate value for effective
operation of the system.
2.3. IPM and GPM Algorithms
The adaptive power management objectives are formulated to
control various sources in the microgrid under islanding and grid
connected scenarios as shown in Fig. 5. In Fig. 5, the variables
∗ ∗
S S M fl P P P p p p p p p p λ p p
, , , , , , Δ , , , , , , , , , ,
La Ld off a ex Ha d pv g loss sc B scr Br ac dcl
and PHp represent control signals for AC, DC loads, peak power deac-
tivating module, floating condition, effective power, average power
component, DC link power changes, PV power, grid power, losses,
battery, supercapacitor references, supercapacitor rated power, battery
rated power, sharing constant, AC, DC load powers, and peak power
component respectively.
2.3.1. Islanding mode
The ESS plays a vital role under islanded conditions. The steady-
vsa
vsb
N
Linear load
Non-linear load
Rf
Lf
Rf
Lf
Rf
Lf
Sc
S'c
Sa
S'a
Sb
S'b
Rs Ls
Rs Ls
Rs Ls
Rla Lla
ila
isa
Rlb Llb
ilb
isb
Rlc Llc
ilc
io
Rnl
Lnl
vsc
ifb ifc
'
n
n
1
dc
C
2
dc
C
ta
v
tb
v
tc
v
Lb
vB
S1b
S2b
Cdb
Cb
Battery
RL
vpv
Lsc
S1s
S2s
Cdsc
Csc
Supercapacitor
vsc
Sp
Co
isc
Cf Cf Cf
Rd Rd
Rd
Lpv
PV System
CB
Unified Adaptive Grid-
connected/Islanding Energy
Management Scheme
pB psc ppv pl
DoDB
DoDsc
CBs
pg
Switching pulses to various converters
Fig. 1. AC-DC microgrid under consideration.
RTL
Power
sharing
GPM
IPM
DoDB DoDsc
SS1
SS2
Control
PCM
VCM
PLL
ISD
(Fig. 3)
Pulses
(S
1b
,S
2b
,S
1s
,
S
2s
,S
p
)
VSC
Pulses
vabc
vabc vabcr
igabcr
ISL
igabc
i*B
i*sc
pdc
Fig. 2. Block diagram of microgrid proposed control system.
vq PLL with
Disturbance
2nd
Harmonic
Extraction
Mean
Amplitute
Running
Max Value
>ࢡmin
ࢡ
?
Grid Status
?
‫ڛ‬
?
‫ڛ‬ =0
୎
ș
K cos(ș) cos
Irp
ș
ir
y
y
n
Fig. 3. Islanding detection algorithm.
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
0
1
2
Control Signal to CB
0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9
0
0.1
0.2
Feedback signal (ࢡ )
Delayed Feedback signal
Grid-ON
Grid-OFF
0.2 0.21 0.22 0.23
-0.5
0
0.5
1.5
2.5
Cos(șvsc)
Cos(ș)
ș
șvsc
Time (s)
(a)
(b)
(c)
t1 t2
Fig. 4. (a) Feedback and delayed signals from islanded detection, (b) Control
signal to CB, and (c) Phase waveform of the PLL and VSC current reference
template at K = 0 [θ, Cos(θ)] and K = 0.8 [θvsc, Cos(θvsc)].
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
809
state and dynamic energy balance of the islanded microgrid should be
regulated by energy storage system under renewable/load side dis-
turbances. Based on the renewable power availability and load power
requirement, two modes are identified under islanded conditions of AC-
DC microgrid (i) islanded excess power mode (I-EPM) and (ii) islanded
deficit power mode (I-DPM). The detailed description of the proposed
islanded power management scheme under I-DPM is explained in the
following subsection.
In an islanded excess power mode, mainly the PV system is used to
share the load demand. The excess power is used to charge the battery
and supercapacitor packs based on their DoD status. The supercapacitor
continues to supply steady-state oscillatory and dynamic power com-
ponents. The power management objectives under I-EPM are for-
mulated in a flowchart as shown in Fig. 5(a). Similarly, the power
management objectives are also defined for I-DPM as illustrated in the
same figure.
Fig. 5. (a) IPM and (b) GPM algorithms.
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
810
2.3.2. Grid connected mode
The ESS balances power flow in this mode. Based on the renewable
power availability and load power requirement, three sub modes are
identified in this mode (i) grid deficit power mode (G-DPM), (ii) grid
excess power mode (G-EPM) and (iii) grid floating power mode (G-
FPM). The power management priorities are programmed for various
sources under this mode as shown in Fig. 5(b).
3. Various functionalities of proposed strategy
Various functionalities of the proposed control strategy are quanti-
tatively analyzed in following section. High current rates ( )
di
dt
B
on the
battery affect its internal resistance and available capacity. The change
in internal resistance increases the losses [1]. These high current rates
affect the battery performance in the long term. Using proposed
strategy, these high current surges are diverted to supercapacitor and
therefore, battery unit is free from high current rates. The quantitative
analysis on the above aspects is given below,
3.1. DC link voltage dynamics
From the Fig. 1, the power balance at the DC link can be represented
as follows,
+ + + − =
p t p t p t p t p t
( ) ( ) ( ) ( ) ( ) 0
pv B sc g l (5)
The change in energy at the DC link is given by,
= − ≅
W C v v v v C
Δ
1
2
( ) Δ ,
dc dc dcr dc dcr dc dc
2 2
(6)
By combining the Fig. 15
= + + + −
v
T
C v
p t p t p t p t p t
Δ { ( ) ( ) ( ) ( ) ( )},
dc
dc dcr
pv B sc g l
(7)
In (7), T is AC cycle time period. The changes in renewable power/load
will affect the dynamics in the DC link voltage. As a consequence, the
transient power requirement at the DC link is supported by the super-
capacitor units and the average power is shared by the battery and grid.
Therefore, it ensures fast DC link voltage regulation.
v^
dc (s)
v^
dcref (s) v^
e = i^
gref
= i*
SCref
+
- Gf (s)
i^
net i^
avg
i^
osc
+
-
Gcv(s) Gig(s)
Gcs(s)
d ^
(s)
Gids(s)
i^
g(s)
i^
SC(s)
+
-
+
-
i^
pvref
Gcp(s)
d ^
(s)
Gidp(s)
i^
pv(s)
+
-
+
+
+
+
i^
l (s)
1
esr
dc
r
sC
v^
dc (s)
+
-
Grid connected mode
Fig. 6. Small signal average models under grid connected mode.
Fig. 7. Stability of the microgrid under various modes: (a) grid connected mode, (b) islanding mode, and (c) off-maximum power point tracking (MPPT) mode.
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
811
3.2. HESS performance analysis
Corrosion will affect the internal resistance and available ampere-
hour (Ah) capacity of the battery. The key parameters responsible for
corrosion are battery voltage rates, acid concentration and temperature.
High voltage rates increase corrosion. Corrosion and degradation re-
duce the available battery Ah capacity and herefore, a suitable energy
management schemes are required to limit battery voltage and current
rates in the grid interfaced/islanded modes. The change of internal
resistance during one sampling step due to corrosion is given as follows,
Fig. 8. Performance of proposed control strategy under grid interfaced and islanded conditions: (a) DoD of battery (b) PV current (ipv), battery current (iB), su-
percapacitor current (isc), and DC load current (idcl), (c) DC link voltage, (d) Average powers, (e) AC load currents, (f) grid currents and (g) VSC currents respectively.
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
812
⎜ ⎟
= ⎛
⎝
⎞
⎠
= −
r t r
w
w
r r r
( )
Δ
Δ
;
k lt
t
lt
lt d e d
, ,0
(8)
where r w r
, Δ ,
lt t d,0 and w
Δ lt are the limiting value of internal resistance,
thickness of corrosion layer at t instant, initial resistance and limiting
thickness of corrosion layer. The internal resistance at the end of life
cycle of battery (rd e
, ) can be written as,
= − + − −
r
C
i
V V g DoD
x
y
r
{ ( )}
d e
N
B
ce d B d
, 0 ,0
(9)
where C i V V g DoD
, , , , ,
N B ce d B
0 and Md are the parameters of the
Shepherd equation as defined in [1]. The variables x=r M DoD
( )
d d B
,0
and y= −
C DoD
d B
,0 .
The capacity reduction due to corrosion (Ahk) is given as follows,
⎜ ⎟ ⎜ ⎟
= ⎧
⎨
⎩
− + ⎛
⎝
⎞
⎠
⎫
⎬
⎭
⎛
⎝
⎞
⎠
Ah t Ah DoD
x
y
w
w
( )
Δ
Δ
k d B
lt
,0
1
1 (10)
where x1 = r M DoD y
,
i
C d d B
,0 1
B
N
= − + +
V V g DoD r t
( )
ce d B d
i
C
0
B
N
The capacity
reduction due to degradation (Ahdeg) is given as follows,
=
⎜ ⎟
− ⎛
⎝
− ⎞
⎠
Ah t Ah e
( )
deg deg lt
C
Z
Z
,
1
zN
gN
(11)
The capacity reduction due to both corrosion (Ahk) and degradation
(Ahdeg) is given as follows,
= − −
Ah t Ah Ah t Ah t
( ) ( ) ( )
d d d k deg
,0 , (12)
The change of internal resistance and available Ah capacity of the
battery for the proposed energy management scheme are computed
using (11) and (12) and it is observed that the current stress on the
battery is reduced with the proposed scheme (also illustrated in
Fig. 11).
4. Stability analysis under different modes
To assess the stability of the system under various modes, the small
signal average (SSA) models of the system are developed. The power
converters are modulated in current control mode and modeled as
controlled current sources.
Based on the grid status, DoD of HESS and renewable power avail-
ability, the following modes are identified in the microgrid such as (i)
grid interfaced or grid connected mode: grid maintains the DC link
voltage, (ii) islanded mode: battery maintains the DC link voltage and
(iii) off-MPPT mode: PV maintains the DC link voltage. The derived SSA
model under grid connected mode is illustrated in Fig. 6. In this ana-
lysis, G s G s G s G s G s G s
( ), ( ), ( ), ( ), ( ), ( )
cv f ig cs ids cp and G s
( )
idp are the small
signal transfer functions of the DC link voltage controller, low pass
filter, grid converter, supercapacitor current controller, supercapacitor
converter in current control mode, PV current controller and PV con-
verter in current control mode respectively. From Fig. 6, the loop gain
transfer function can be derived as follows,
= + =
+
G s k
k
s
G s
sτ
( ) , ( )
1
1
cv p
i
f
1
1
(13)
The closed loop transfer function of grid, supercapacitor current control
are obtained as follows,
=
+
=
+
G s
k
k k k
G s
G s G s
G s G s
( ) , ( )
( ) ( )
1 ( ) ( )
igcl
pgi
pgi
idscl
cs ids
cs ids
1 3 (14)
Therefore, the loop gain of the system can be expressed as,
⎜ ⎟
= + − × ⎛
⎝
+ ⎞
⎠
G s H s G s G s G s G s G s
sC
r
( ) ( ) ( ) ( ) ( ) (1 ( )) ( )
1
cv f igcl f idsccl
dc
esr
(15)
In (15), the gains G s
( )
cs and G s
( )
ids are expressed as,
= + =
+ ′
+ + ′
G s k
k
s
G s
s C V D I
s L C s D
( ) , ( )
( 2 )
cs ps
is
ids
dc dc Lsc
sc dc
L
R
2 2
sc
L (16)
In the above (13)–(16), the variables and k k τ k k
, , , ,
p i pgi
1 1 1 and ′
D re-
present proportional, integral constants of outer loop, time constant of
LPF, inner loop proportional, integral constants and duty ratio of su-
percapacitor converter respectively.
The loop gain Nyquist plots are obtained using the above equations.
The loop gain Nyquist contour should be on the right side of the critical
point (CP) (−1, 0) or within the unit circle under the event of dynamic
transition from one mode to another. With the outer control loop gain
(kp1) as parameter, the stability of the microgrid under various modes
are investigated and few of these frequency domain plots are shown in
Fig. 7. The overall loop gain [G s
( )
lgg ] Nyquist plot under grid connected
mode is shown in Fig. 7(a). At =
k 0.5
p1 , the system ensures stability,
0.9 1.1 1.3 1.5
-50
0
50
Islanding
Islanding
0.9 1.1 1.3 1.5
-10
0
10
0.94 1.04
-10
0
10
0.96 1.03
-100
0
100
(a)
(b)
(c)
(d)
Islanding
Voltage
(V)
Current
(A)
Current
(A)
Fig. 9. Performance of proposed control strategy: (a) grid voltages, (b) grid
currents, (c) enlarged view of grid currents and (d) grid voltage and current.
Fig. 10. Experimental setup.
idcl
vdc
isc
iB
10 V/div
1 A/div
1 A/div
1 A/div
2 s/div
Fig. 11. DC grid side performance:DC link voltage (vdc), DC load current (idcl),
supercapacitor current (isc) and battery current (iB).
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
813
with phase margin (PM) of 47° under this mode. The overall loop gain
[G s
( )
lgi ] is observed to be stable with PM = 69° under islanding con-
ditions when =
k 0.5
p1 , as illustrated in Fig. 7(b). The overall loop gain
under off-MPPT mode is also shown in Fig. 7(c). The change in the
mode when =
k 0.5
p1 , will not affect the current control loop stability
(PM = 39°) as shown in Fig. 7(c).
5. Results and discussion
5.1. Simulation results
Detailed simulation studies are carried out using MATLAB/Simulink
software to verify the validity of the proposed control strategy. Some of
the power management objectives defined in Section II are investigated
under steady state and dynamic conditions.
Fig. 12. Performance under grid connected mode:DC link voltage (vdc), VSC current (ivsc), grid current (ig) and PCC voltage (vpcc).
Fig. 13. Performance under islanding mode:DC link voltage (vdc), VSC current (ivsc), grid current (ig) and PCC voltage (vpcc).
Islanding control signal to CB
Feedback signal (v)
t1 t2
500 ms/div
Fig. 14. Experimental results for islanding detection using second harmonics based PLL method: PCC voltage (vg), grid current (ig), islanding control signal to CB and
feedback signal(v).
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
814
5.1.1. Performance of proposed scheme under grid connected and islanded
modes
The steady state and dynamic performances of the proposed scheme
under the grid interfaced/islanded conditions are illustrated in
Fig. 8(a)–(g). From t=0–1 s, the hybrid microgrid system is operating
under grid interfaced mode and also, the renewable power is less than
the load demand. As a result, the grid interfaced system operates in the
deficit power mode. The battery units, PV system and utility grid share
the total average load demand under steady-state conditions. The dy-
namic changes in the power during this mode are supplied/absorbed by
the supercapacitor units. The grid side VSC provides a portion of the
average load demand by drawing power from utility grid. In addition to
this function, the harmonic and reactive components of the load current
are supplied by the VSC as shown in Fig. 8(e)–(g). This ensures that the
utility grid current is not only sinusoidal, but also in phase with the grid
voltage. The corresponding changes in powers are also shown in
Fig. 8(d).
The rms voltage and frequency of the utility grid is monitored and
based on this signal, the islanded mode is activated at t=1 s. The dy-
namic power changes during these transient conditions are supplied by
the supercapacitor units and the battery supports the additional average
demand to meet power balance at the DC grid as shown in Fig. 8(b). The
DC link voltage is regulated by the battery and supercapacitor units
during this dynamic transition.
During t= −
t t
1 2 instants, the microgrid system operates in I-DPM.
The entire AC and DC load demand during I-DPM is supported by the
battery unit alone. As a result, the DoD of the battery unit rises to the
middle level and this condition forces the load shed module activation
at t=3 s, as shown in Fig. 8. Due to the activation of the load shed
module, 50% of the DC load is disconnected from the system and
therefore, the battery storage system is relieved from discharging large
power. During t= −
t t
2 3 instants, the battery DoD reaches its upper limit.
As a result, at t=5 s, the load shedding module dispatches a signal to
disconnect a portion of the AC side load.
Due to deactivation of the AC load, the power drawn from the grid
side VSC and consequently, the power supplied by the battery storage
system are reduced, as shown in Fig. 8(d). During t=t4 instant, the
power generated from the PV system is more than the load demand, and
therefore, the microgrid system operates in I-EPM. The excess power
during this mode is mainly utilized to charge the battery and the su-
percapacitor storage systems. Consequently, the peak power tracking
deactivation module dispatches the control signal and the PV system
operates at off maximum power tracking mode.
5.1.2. Voltage and power quality aspects of proposed scheme
The voltage and frequency at the AC load under islanded conditions
are regulated by operating grid side VSC in voltage control mode
(VCM). The main PQ functions provided by the proposed EMS under
grid interface mode are current harmonic mitigation, reactive power
support, load balancing and power factor improvement. The afore-
mentioned PQ features are illustrated in Figs. 8,9.
5.2. Experimental results
A scale down test bed is developed in laboratory as shown in Fig. 10.
A few of the power management objectives defined in Section II are
investigated under steady state and dynamic conditions. The control
switches used in the voltage source converter, battery, supercapacitor
and RES converters are Semikron SKM 75GB128D. Amptek 6-DZM-14
(2 h) battery units with capacity of 12 V at 14 Ah each and Maxwell
BMOD0058 E016 B02 supercapacitor units with capacity of 58 F at 16 V
each are used as energy storage devices.
Chroma programmable power source is used to emulate the grid.
Some of the obtained results are presented in the following paragraphs.
5.2.1. DC grid side performance
The dynamic performance of the proposed control strategy under
DC load change is shown in Fig. 11. The transient part of the load
change is supported by the supercapacitor and therefore, the variation
in battery current during the dynamic conditions is less as shown in
Fig. 11.
5.2.2. Performance under grid connected and islanding modes
The steady state and dynamic performance of the system are in-
vestigated under the following scenarios,
1. Grid connected mode,
2. Islanding mode,
3. Dynamic change over from one mode to another.
The steady state performance of the proposed control strategy under
grid connected mode with a linear load is shown in Fig. 12. In this case,
the load active power is shared by the utility grid and voltage source
converter. The steady state performance of the proposed control
strategy under islanding mode with a linear load is shown in Fig. 13. In
this case, the entire load demand and losses in the microgrid are sup-
ported by the energy storage system. Also, grid current under this mode
becomes zero as shown in Fig. 13.
The dynamic transfer between these two modes of the system is
depicted in Fig. 14. The second harmonic based phase locked loop (PLL)
method for the islanding detection was implemented in the experi-
mental platform and the results obtained are shown below in Fig. 14.
vg
ig
Islanding control signal to CB
Feedback signal (v)
40 ms/div
t1 t12
Fig. 15. Zoomed view of experimental results for islanding detection using second harmonics based PLL method: PCC voltage (vg), grid current (ig), islanding control
signal to CB and feedback signal (v).
N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816
815
The zoomed view of the experimental results at t1 in Fig. 14 is shown in
Fig. 15 for clarity. As shown in Fig. 15, the grid connection is dis-
connected at time instant t1, the feedback signal is extracted from the
voltage of the point of common coupling (PCC). When the grid is dis-
connected from the system, the feedback signal overshoots then the
feedback signal reaches the preset threshold value for islanding detec-
tion and so the islanding control signal to the circuit breaker (CB) is
triggered as shown in experimental result in Fig. 15. The islanding
control signal is generated in less than half cycle after the grid is dis-
connected. The faster operation can be controlled by changing the
threshold to the feedback signal. The experimental results show the
effectiveness of the proposed method for the practical application in the
microgrid systems for islanding detection.
The proposed method relies on the continuous injection of the signal
to the inverter reference current to be generated. This affects the in-
verter in the negligible way when the grid is available. When the grid is
not present in the system the extracted feedback voltage signal from the
PCC gives the information about the grid impedance change, thus this
results in effective islanding detection.
6. Conclusion
A control strategy is proposed for a grid interfaced and islanded
hybrid ESS with a battery and supercapacitors as the energy storage
devices. The frequency and voltage magnitude regulation at the point of
common coupling are achieved under islanded conditions. The dynamic
energy during transition from grid interfaced to islanding and vice
versa is captured by supercapacitor pack and therefore, seamless
transfer between both the modes is achieved. Further, the small signal
average models of the system are developed to investigate the stability
under various operating modes.
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816

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Fardapaper control-strategy-for-ac-dc-microgrid-with-hybrid-energy-storage-under-different-operating-modes

  • 1. Contents lists available at ScienceDirect Electrical Power and Energy Systems journal homepage: www.elsevier.com/locate/ijepes Control strategy for AC-DC microgrid with hybrid energy storage under different operating modes Narsa Reddy Tummurua,⁎ , Ujjal Manandharb , Abhisek Ukilc,⁎ , Hoay Beng Gooib , Sathish Kumar Kollimallab , Swami Naidub a School of Computing and Electrical Engineering, Indian Institute of Technology Mandi, Himachal Pradesh 175005, India b School of Electrical and Electronic Engineering, Nanyang Technological University, 50 Nanyang Avenue, Singapore 639798, Singapore c Dept. of Electrical & Computer Engineering, 20 Symonds Street, 1010 Auckland, New Zealand A R T I C L E I N F O Keywords: Battery Dynamic energy management Hybrid energy storage Microgrid Power quality Supercapacitor A B S T R A C T In this paper, a control strategy is proposed for renewable-interfaced hybrid energy storage system (HESS) under grid connected/islanding conditions. A second harmonic based phased locked loop (PLL) is employed for ef- fective synchronization/resynchronization of the microgrid system under contingency conditions. The operation and management of the microgrid system under both these modes are accomplished by an efficient adaptive power management algorithm. A quantitative analysis on the HESS performance is provided in order to in- vestigate the effectiveness of the proposed approach. Further, small signal average models are derived to comment on the system stability. This approach address seamless transfer between the various sub-modes of the system along with additional services such as power quality enhancement and power dispatch between various sources. The effectiveness of the proposed scheme is verified by both simulation and experimental investigations. 1. Introduction The stochastic nature of renewable energy sources (RES) coupled with the unpredictable changes in the load, demands hybrid energy storage systems (HESS) (such as batteries, supercapacitors etc.,) in the present day microgrids [23,6,16]. The HESS support the renewable energy producers and also system operators by providing many ancil- lary services [12]. From the control perspective, the hybrid microgrids (RES interfaced HESS) are classified into grid-interfaced and standalone configurations. The stochastic nature of these RESs raise many technical issues while operating in grid-interfaced and islanded modes [6,5,17]. In addition, the transition from one mode to another and vice versa, is an important aspect that need to be considered while design of suitable management schemes for reliable and continuous operation of these hybrid microgrids. 1.1. Literature review The energy management schemes (EMS) reported in Lu et al. [13] extracts powers from the PV source, battery and supercapacitor, based on the states of each of the individual source. However, the power quality aspects on the ac side have not been addressed in their work. The EMS based on model-predictive control reported in Hredzak et al. [8] is limited to supercapacitor-battery hybrid in a DC microgrid en- vironment by assuming a constant DC link voltage. Moreover, this classical model predictive control relies on a discrete model of the control system and a cost function, making it computationally in- tensive. Similar performance as obtained in Hredzak et al. [8]is achieved using a much simpler EMS reported in Hredzak et al. [7] making it amenable to be implemented using normal controllers. The micro grid voltage source converter (VSC) changes its man- agement philosophy based on the connection/disconnection status of the micro grid to the utility grid [15,4]. This mode change in the VSC’s management philosophy is decided by islanding detection method. Is- landing detection schemes can be divided into distant and native modules. Distant methods rely on communication networks between microgrid and utility [3] leading to high cost along with complexity. On the other hand, native module comprising passive and active methods use local measurements information at the point of common coupling (PCC) [15]. The active islanding techniques intentionally introduce disturbances at the output of the VSC’s to find if they affect the voltage, frequency, or impedance parameters, in such case it is assumed that the grid has been disconnected and the VSC is isolated from the load. Moreover, active methods introduce a disruption and force wider https://doi.org/10.1016/j.ijepes.2018.07.063 Received 19 September 2016; Received in revised form 7 March 2018; Accepted 26 July 2018 ⁎ Corresponding author. E-mail addresses: narasaiitm@gmail.com (N.R. Tummuru), ujjal001@e.ntu.edu.sg (U. Manandhar), a.ukil@auckland.ac.nz (A. Ukil), ehbgooi@ntu.edu.sg (H.B. Gooi), skollimalla@ntu.edu.sg (S.K. Kollimalla), nksn@ntu.edu.sg (S. Naidu). Electrical Power and Energy Systems 104 (2019) 807–816 Available online 07 August 2018 0142-0615/ © 2018 Elsevier Ltd. All rights reserved. T
  • 2. changes of the parameters after islanding event. Therefore, islanding event can be distinguished even under small power perturbations. Voltage drifting methods mainly use the under/over voltage in- formation at the PCC and the respective relays initiate the islanding event [20,9]. In few of frequency drifting schemes, the autonomous system is enforced by moving the PCC frequency outside permissible frequency limits. Active frequency drift [22], Sandia frequency shift [19] and imaginary power variation [24] are the some of key fre- quencies drifting methodologies. On the other hand, several methods have been proposed in the literature by creating perturbations without affecting the stability of the system [2,18,11,10]. However, these methods degrade the power quality of the system. 1.2. Objective of the study In this paper, a simple unified management philosophy is proposed to provide uninterrupted supply to the load under grid connected and islanded conditions. The proposed scheme uses a harmonic current injection method that detects islanding event without affecting the microgrid stability and also, enhances the power quality. The main features obtained from the proposed scheme are: • An effective power flow management at the DC link. • Improved power quality features at the point of common coupling under grid connected mode due to the attenuation of 2nd harmonic of PCC voltage. • Allows inherent current limits for both supercapacitor and battery units. • Seamless mode transfer between different modes. • The islanding event can be detected in a short time by comparing an exponential raise in second harmonic of PCC voltage with a suitable threshold [as shown in Figs. 4 and 14]. In this paper, system configuration and proposed control strategy are described in Section 2. Quantitative analysis on various function- ality is described in Section 3. In Section 4, the stability analysis under various modes is presented. Some of the results and discussion are described in Section 5. Finally, concluding remarks are presented in Section 6. 2. Hybrid AC-DC microgrid configuration and proposed control strategy The hybrid microgrid mainly consists of AC and DC microgrids connected through controlled power electronic interfaces, as illustrated in Fig. 1. A three-phase four-wire split capacitor VSC topology is used on the AC side to exchange power between the AC and DC microgrids effectively.Non-linear and unbalanced loads are connected on the AC side, in order to test the additional capabilities of the proposed scheme such as harmonic compensation, reactive power support, load balan- cing and power factor correction under grid connected mode. A circuit breaker (CB) is used to isolate the utility grid from hybrid microgrid under contingency conditions. On the DC grid side, a photovoltaic (PV) system is connected through a boost DC-DC converter topology to ex- tract peak power from the PV panels and HESS is used to balance the average and transient power flow at the DC grid. The AC-DC microgrid system considered in this paper is shown in Fig. 1 with following no- tations. • v v v , , B sc dc and vg are the battery, supercapacitor, DC link and grid voltages. • i i i , , B sc ld and ivsc are the battery, supercapacitor, DC load, and VSC currents. • C C C C C , , , , b sc db dsc dc and Cf are the battery, supercapacitor, DC link side battery, DC link side supercapacitor, VSC DC link and VSC filter capacitance’s, and L L L R , , , B sc f L and Rlabc are the battery, supercapacitor, VSC filter inductance of the DC and the AC side loads, respectively. • ′ ′ ′ S S S S S S S S S S , , , , , , , , , a b c a b c p b b s 1 2 1 and S s 2 are the control switches of VSC, PV converter, battery converter and supercapacitor converter, respectively. A control strategy has been proposed in this paper for continuous operation of aforementioned microgrid under different operating modes as shown in Fig. 2. The transient and average powers are sepa- rated by a low pass filter and rate-limiter (RTL). These powers are fed to the islanding and grid power management (IPM & GPM) modules. The battery and supercapacitor management priorities are embedded in GPM and ISM modules respectively. The status of selector switches (SS1 & SS2) is decided by the islanding detection (ISD) algorithm and based on this signal the selector switch passes corresponding battery and su- percapacitor reference values to control stages. The voltage source converter will change its mode of operation from grid interface/con- nected to islanding and vice versa based on activating signal from the ISD. The details of aforementioned functional blocks in grid connected and islanding modes of the AC-DC microgrid are described in the fol- lowing subsections. 2.1. Energy Storage Unit’s Monitoring The depth of discharge (DoD) status of the energy storage units is computed and monitored using the following mathematical equations [14]. ∫ = − DoD t DoD N i dt ( ) 1 3600 j oj Cj j (1) where j=B or SC, DoDo, and NC are the battery, supercapacitor, initial DoD of energy storage system (ESS) units and nominal capacity re- spectively. The computed DoDs of the battery and the supercapacitor units are fed to the IPM and GPM modules. Based on the status of the energy storage devices, the power management objectives are defined in these modules. 2.2. Islanding detection method and operating modes The islanding detection method used in this work is shown in Fig. 3. Under grid connected mode, the voltage at the point of common cou- pling (PCC) is imposed by the utility grid, and its waveform is not al- tered by islanding detection algorithm. This grid voltage template is used for generation of VSC reference currents (ir) under grid connected mode. Whereas, in case of islanding the PCC voltage follows the wa- veform of current injected by the voltage source converter [21] and the idea of this ISD algorithm is explained as follows, A small perturbation is generated by modification in the phase signal of the phase locked loop (PLL) as shown in Fig. 3, so that the angle of VSC current reference is changed according to the following, = + θ θ K cos θ ( ) vsc (2) = + cos θ cos θ K cos θ ( ) { ( )} vsc (3) After simplification, the VSC reference current is given as follows, ≅ − cos θ cos θ K sin θ ( ) ( ) 2 (2 ) vsc (4) The islanding detection method is based on measuring second har- monic of the PCC voltage waveform and corresponding feedback signal (ϑ), control signal under change over from one mode to another are illustrated in Fig. 4. Fig. 4(a) shows the feedback (ϑ) and delayed sig- nals from the ISD algorithm. At t=t1, the grid is switched off. As a result, the feedback signal is more than ϑmin and therefore, ISD algo- rithm sends activation signal to the CB as shown in Fig. 4(b). At t=t2, N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 808
  • 3. the grid is reconnected and hence the feedback signal becomes zero. In this case, ISD algorithm sends deactivation signal to CB. The VSC cur- rent reference and phase of the PLL with K = 0 and 0.8 are illustrated in Fig. 4(c). The larger values of K will make the grid current non-sinu- soidal and therefore, one has to select an appropriate value for effective operation of the system. 2.3. IPM and GPM Algorithms The adaptive power management objectives are formulated to control various sources in the microgrid under islanding and grid connected scenarios as shown in Fig. 5. In Fig. 5, the variables ∗ ∗ S S M fl P P P p p p p p p p λ p p , , , , , , Δ , , , , , , , , , , La Ld off a ex Ha d pv g loss sc B scr Br ac dcl and PHp represent control signals for AC, DC loads, peak power deac- tivating module, floating condition, effective power, average power component, DC link power changes, PV power, grid power, losses, battery, supercapacitor references, supercapacitor rated power, battery rated power, sharing constant, AC, DC load powers, and peak power component respectively. 2.3.1. Islanding mode The ESS plays a vital role under islanded conditions. The steady- vsa vsb N Linear load Non-linear load Rf Lf Rf Lf Rf Lf Sc S'c Sa S'a Sb S'b Rs Ls Rs Ls Rs Ls Rla Lla ila isa Rlb Llb ilb isb Rlc Llc ilc io Rnl Lnl vsc ifb ifc ' n n 1 dc C 2 dc C ta v tb v tc v Lb vB S1b S2b Cdb Cb Battery RL vpv Lsc S1s S2s Cdsc Csc Supercapacitor vsc Sp Co isc Cf Cf Cf Rd Rd Rd Lpv PV System CB Unified Adaptive Grid- connected/Islanding Energy Management Scheme pB psc ppv pl DoDB DoDsc CBs pg Switching pulses to various converters Fig. 1. AC-DC microgrid under consideration. RTL Power sharing GPM IPM DoDB DoDsc SS1 SS2 Control PCM VCM PLL ISD (Fig. 3) Pulses (S 1b ,S 2b ,S 1s , S 2s ,S p ) VSC Pulses vabc vabc vabcr igabcr ISL igabc i*B i*sc pdc Fig. 2. Block diagram of microgrid proposed control system. vq PLL with Disturbance 2nd Harmonic Extraction Mean Amplitute Running Max Value >ࢡmin ࢡ ? Grid Status ? ‫ڛ‬ ? ‫ڛ‬ =0 ୎ ș K cos(ș) cos Irp ș ir y y n Fig. 3. Islanding detection algorithm. 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0 1 2 Control Signal to CB 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0 0.1 0.2 Feedback signal (ࢡ ) Delayed Feedback signal Grid-ON Grid-OFF 0.2 0.21 0.22 0.23 -0.5 0 0.5 1.5 2.5 Cos(șvsc) Cos(ș) ș șvsc Time (s) (a) (b) (c) t1 t2 Fig. 4. (a) Feedback and delayed signals from islanded detection, (b) Control signal to CB, and (c) Phase waveform of the PLL and VSC current reference template at K = 0 [θ, Cos(θ)] and K = 0.8 [θvsc, Cos(θvsc)]. N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 809
  • 4. state and dynamic energy balance of the islanded microgrid should be regulated by energy storage system under renewable/load side dis- turbances. Based on the renewable power availability and load power requirement, two modes are identified under islanded conditions of AC- DC microgrid (i) islanded excess power mode (I-EPM) and (ii) islanded deficit power mode (I-DPM). The detailed description of the proposed islanded power management scheme under I-DPM is explained in the following subsection. In an islanded excess power mode, mainly the PV system is used to share the load demand. The excess power is used to charge the battery and supercapacitor packs based on their DoD status. The supercapacitor continues to supply steady-state oscillatory and dynamic power com- ponents. The power management objectives under I-EPM are for- mulated in a flowchart as shown in Fig. 5(a). Similarly, the power management objectives are also defined for I-DPM as illustrated in the same figure. Fig. 5. (a) IPM and (b) GPM algorithms. N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 810
  • 5. 2.3.2. Grid connected mode The ESS balances power flow in this mode. Based on the renewable power availability and load power requirement, three sub modes are identified in this mode (i) grid deficit power mode (G-DPM), (ii) grid excess power mode (G-EPM) and (iii) grid floating power mode (G- FPM). The power management priorities are programmed for various sources under this mode as shown in Fig. 5(b). 3. Various functionalities of proposed strategy Various functionalities of the proposed control strategy are quanti- tatively analyzed in following section. High current rates ( ) di dt B on the battery affect its internal resistance and available capacity. The change in internal resistance increases the losses [1]. These high current rates affect the battery performance in the long term. Using proposed strategy, these high current surges are diverted to supercapacitor and therefore, battery unit is free from high current rates. The quantitative analysis on the above aspects is given below, 3.1. DC link voltage dynamics From the Fig. 1, the power balance at the DC link can be represented as follows, + + + − = p t p t p t p t p t ( ) ( ) ( ) ( ) ( ) 0 pv B sc g l (5) The change in energy at the DC link is given by, = − ≅ W C v v v v C Δ 1 2 ( ) Δ , dc dc dcr dc dcr dc dc 2 2 (6) By combining the Fig. 15 = + + + − v T C v p t p t p t p t p t Δ { ( ) ( ) ( ) ( ) ( )}, dc dc dcr pv B sc g l (7) In (7), T is AC cycle time period. The changes in renewable power/load will affect the dynamics in the DC link voltage. As a consequence, the transient power requirement at the DC link is supported by the super- capacitor units and the average power is shared by the battery and grid. Therefore, it ensures fast DC link voltage regulation. v^ dc (s) v^ dcref (s) v^ e = i^ gref = i* SCref + - Gf (s) i^ net i^ avg i^ osc + - Gcv(s) Gig(s) Gcs(s) d ^ (s) Gids(s) i^ g(s) i^ SC(s) + - + - i^ pvref Gcp(s) d ^ (s) Gidp(s) i^ pv(s) + - + + + + i^ l (s) 1 esr dc r sC v^ dc (s) + - Grid connected mode Fig. 6. Small signal average models under grid connected mode. Fig. 7. Stability of the microgrid under various modes: (a) grid connected mode, (b) islanding mode, and (c) off-maximum power point tracking (MPPT) mode. N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 811
  • 6. 3.2. HESS performance analysis Corrosion will affect the internal resistance and available ampere- hour (Ah) capacity of the battery. The key parameters responsible for corrosion are battery voltage rates, acid concentration and temperature. High voltage rates increase corrosion. Corrosion and degradation re- duce the available battery Ah capacity and herefore, a suitable energy management schemes are required to limit battery voltage and current rates in the grid interfaced/islanded modes. The change of internal resistance during one sampling step due to corrosion is given as follows, Fig. 8. Performance of proposed control strategy under grid interfaced and islanded conditions: (a) DoD of battery (b) PV current (ipv), battery current (iB), su- percapacitor current (isc), and DC load current (idcl), (c) DC link voltage, (d) Average powers, (e) AC load currents, (f) grid currents and (g) VSC currents respectively. N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 812
  • 7. ⎜ ⎟ = ⎛ ⎝ ⎞ ⎠ = − r t r w w r r r ( ) Δ Δ ; k lt t lt lt d e d , ,0 (8) where r w r , Δ , lt t d,0 and w Δ lt are the limiting value of internal resistance, thickness of corrosion layer at t instant, initial resistance and limiting thickness of corrosion layer. The internal resistance at the end of life cycle of battery (rd e , ) can be written as, = − + − − r C i V V g DoD x y r { ( )} d e N B ce d B d , 0 ,0 (9) where C i V V g DoD , , , , , N B ce d B 0 and Md are the parameters of the Shepherd equation as defined in [1]. The variables x=r M DoD ( ) d d B ,0 and y= − C DoD d B ,0 . The capacity reduction due to corrosion (Ahk) is given as follows, ⎜ ⎟ ⎜ ⎟ = ⎧ ⎨ ⎩ − + ⎛ ⎝ ⎞ ⎠ ⎫ ⎬ ⎭ ⎛ ⎝ ⎞ ⎠ Ah t Ah DoD x y w w ( ) Δ Δ k d B lt ,0 1 1 (10) where x1 = r M DoD y , i C d d B ,0 1 B N = − + + V V g DoD r t ( ) ce d B d i C 0 B N The capacity reduction due to degradation (Ahdeg) is given as follows, = ⎜ ⎟ − ⎛ ⎝ − ⎞ ⎠ Ah t Ah e ( ) deg deg lt C Z Z , 1 zN gN (11) The capacity reduction due to both corrosion (Ahk) and degradation (Ahdeg) is given as follows, = − − Ah t Ah Ah t Ah t ( ) ( ) ( ) d d d k deg ,0 , (12) The change of internal resistance and available Ah capacity of the battery for the proposed energy management scheme are computed using (11) and (12) and it is observed that the current stress on the battery is reduced with the proposed scheme (also illustrated in Fig. 11). 4. Stability analysis under different modes To assess the stability of the system under various modes, the small signal average (SSA) models of the system are developed. The power converters are modulated in current control mode and modeled as controlled current sources. Based on the grid status, DoD of HESS and renewable power avail- ability, the following modes are identified in the microgrid such as (i) grid interfaced or grid connected mode: grid maintains the DC link voltage, (ii) islanded mode: battery maintains the DC link voltage and (iii) off-MPPT mode: PV maintains the DC link voltage. The derived SSA model under grid connected mode is illustrated in Fig. 6. In this ana- lysis, G s G s G s G s G s G s ( ), ( ), ( ), ( ), ( ), ( ) cv f ig cs ids cp and G s ( ) idp are the small signal transfer functions of the DC link voltage controller, low pass filter, grid converter, supercapacitor current controller, supercapacitor converter in current control mode, PV current controller and PV con- verter in current control mode respectively. From Fig. 6, the loop gain transfer function can be derived as follows, = + = + G s k k s G s sτ ( ) , ( ) 1 1 cv p i f 1 1 (13) The closed loop transfer function of grid, supercapacitor current control are obtained as follows, = + = + G s k k k k G s G s G s G s G s ( ) , ( ) ( ) ( ) 1 ( ) ( ) igcl pgi pgi idscl cs ids cs ids 1 3 (14) Therefore, the loop gain of the system can be expressed as, ⎜ ⎟ = + − × ⎛ ⎝ + ⎞ ⎠ G s H s G s G s G s G s G s sC r ( ) ( ) ( ) ( ) ( ) (1 ( )) ( ) 1 cv f igcl f idsccl dc esr (15) In (15), the gains G s ( ) cs and G s ( ) ids are expressed as, = + = + ′ + + ′ G s k k s G s s C V D I s L C s D ( ) , ( ) ( 2 ) cs ps is ids dc dc Lsc sc dc L R 2 2 sc L (16) In the above (13)–(16), the variables and k k τ k k , , , , p i pgi 1 1 1 and ′ D re- present proportional, integral constants of outer loop, time constant of LPF, inner loop proportional, integral constants and duty ratio of su- percapacitor converter respectively. The loop gain Nyquist plots are obtained using the above equations. The loop gain Nyquist contour should be on the right side of the critical point (CP) (−1, 0) or within the unit circle under the event of dynamic transition from one mode to another. With the outer control loop gain (kp1) as parameter, the stability of the microgrid under various modes are investigated and few of these frequency domain plots are shown in Fig. 7. The overall loop gain [G s ( ) lgg ] Nyquist plot under grid connected mode is shown in Fig. 7(a). At = k 0.5 p1 , the system ensures stability, 0.9 1.1 1.3 1.5 -50 0 50 Islanding Islanding 0.9 1.1 1.3 1.5 -10 0 10 0.94 1.04 -10 0 10 0.96 1.03 -100 0 100 (a) (b) (c) (d) Islanding Voltage (V) Current (A) Current (A) Fig. 9. Performance of proposed control strategy: (a) grid voltages, (b) grid currents, (c) enlarged view of grid currents and (d) grid voltage and current. Fig. 10. Experimental setup. idcl vdc isc iB 10 V/div 1 A/div 1 A/div 1 A/div 2 s/div Fig. 11. DC grid side performance:DC link voltage (vdc), DC load current (idcl), supercapacitor current (isc) and battery current (iB). N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 813
  • 8. with phase margin (PM) of 47° under this mode. The overall loop gain [G s ( ) lgi ] is observed to be stable with PM = 69° under islanding con- ditions when = k 0.5 p1 , as illustrated in Fig. 7(b). The overall loop gain under off-MPPT mode is also shown in Fig. 7(c). The change in the mode when = k 0.5 p1 , will not affect the current control loop stability (PM = 39°) as shown in Fig. 7(c). 5. Results and discussion 5.1. Simulation results Detailed simulation studies are carried out using MATLAB/Simulink software to verify the validity of the proposed control strategy. Some of the power management objectives defined in Section II are investigated under steady state and dynamic conditions. Fig. 12. Performance under grid connected mode:DC link voltage (vdc), VSC current (ivsc), grid current (ig) and PCC voltage (vpcc). Fig. 13. Performance under islanding mode:DC link voltage (vdc), VSC current (ivsc), grid current (ig) and PCC voltage (vpcc). Islanding control signal to CB Feedback signal (v) t1 t2 500 ms/div Fig. 14. Experimental results for islanding detection using second harmonics based PLL method: PCC voltage (vg), grid current (ig), islanding control signal to CB and feedback signal(v). N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 814
  • 9. 5.1.1. Performance of proposed scheme under grid connected and islanded modes The steady state and dynamic performances of the proposed scheme under the grid interfaced/islanded conditions are illustrated in Fig. 8(a)–(g). From t=0–1 s, the hybrid microgrid system is operating under grid interfaced mode and also, the renewable power is less than the load demand. As a result, the grid interfaced system operates in the deficit power mode. The battery units, PV system and utility grid share the total average load demand under steady-state conditions. The dy- namic changes in the power during this mode are supplied/absorbed by the supercapacitor units. The grid side VSC provides a portion of the average load demand by drawing power from utility grid. In addition to this function, the harmonic and reactive components of the load current are supplied by the VSC as shown in Fig. 8(e)–(g). This ensures that the utility grid current is not only sinusoidal, but also in phase with the grid voltage. The corresponding changes in powers are also shown in Fig. 8(d). The rms voltage and frequency of the utility grid is monitored and based on this signal, the islanded mode is activated at t=1 s. The dy- namic power changes during these transient conditions are supplied by the supercapacitor units and the battery supports the additional average demand to meet power balance at the DC grid as shown in Fig. 8(b). The DC link voltage is regulated by the battery and supercapacitor units during this dynamic transition. During t= − t t 1 2 instants, the microgrid system operates in I-DPM. The entire AC and DC load demand during I-DPM is supported by the battery unit alone. As a result, the DoD of the battery unit rises to the middle level and this condition forces the load shed module activation at t=3 s, as shown in Fig. 8. Due to the activation of the load shed module, 50% of the DC load is disconnected from the system and therefore, the battery storage system is relieved from discharging large power. During t= − t t 2 3 instants, the battery DoD reaches its upper limit. As a result, at t=5 s, the load shedding module dispatches a signal to disconnect a portion of the AC side load. Due to deactivation of the AC load, the power drawn from the grid side VSC and consequently, the power supplied by the battery storage system are reduced, as shown in Fig. 8(d). During t=t4 instant, the power generated from the PV system is more than the load demand, and therefore, the microgrid system operates in I-EPM. The excess power during this mode is mainly utilized to charge the battery and the su- percapacitor storage systems. Consequently, the peak power tracking deactivation module dispatches the control signal and the PV system operates at off maximum power tracking mode. 5.1.2. Voltage and power quality aspects of proposed scheme The voltage and frequency at the AC load under islanded conditions are regulated by operating grid side VSC in voltage control mode (VCM). The main PQ functions provided by the proposed EMS under grid interface mode are current harmonic mitigation, reactive power support, load balancing and power factor improvement. The afore- mentioned PQ features are illustrated in Figs. 8,9. 5.2. Experimental results A scale down test bed is developed in laboratory as shown in Fig. 10. A few of the power management objectives defined in Section II are investigated under steady state and dynamic conditions. The control switches used in the voltage source converter, battery, supercapacitor and RES converters are Semikron SKM 75GB128D. Amptek 6-DZM-14 (2 h) battery units with capacity of 12 V at 14 Ah each and Maxwell BMOD0058 E016 B02 supercapacitor units with capacity of 58 F at 16 V each are used as energy storage devices. Chroma programmable power source is used to emulate the grid. Some of the obtained results are presented in the following paragraphs. 5.2.1. DC grid side performance The dynamic performance of the proposed control strategy under DC load change is shown in Fig. 11. The transient part of the load change is supported by the supercapacitor and therefore, the variation in battery current during the dynamic conditions is less as shown in Fig. 11. 5.2.2. Performance under grid connected and islanding modes The steady state and dynamic performance of the system are in- vestigated under the following scenarios, 1. Grid connected mode, 2. Islanding mode, 3. Dynamic change over from one mode to another. The steady state performance of the proposed control strategy under grid connected mode with a linear load is shown in Fig. 12. In this case, the load active power is shared by the utility grid and voltage source converter. The steady state performance of the proposed control strategy under islanding mode with a linear load is shown in Fig. 13. In this case, the entire load demand and losses in the microgrid are sup- ported by the energy storage system. Also, grid current under this mode becomes zero as shown in Fig. 13. The dynamic transfer between these two modes of the system is depicted in Fig. 14. The second harmonic based phase locked loop (PLL) method for the islanding detection was implemented in the experi- mental platform and the results obtained are shown below in Fig. 14. vg ig Islanding control signal to CB Feedback signal (v) 40 ms/div t1 t12 Fig. 15. Zoomed view of experimental results for islanding detection using second harmonics based PLL method: PCC voltage (vg), grid current (ig), islanding control signal to CB and feedback signal (v). N.R. Tummuru et al. Electrical Power and Energy Systems 104 (2019) 807–816 815
  • 10. The zoomed view of the experimental results at t1 in Fig. 14 is shown in Fig. 15 for clarity. As shown in Fig. 15, the grid connection is dis- connected at time instant t1, the feedback signal is extracted from the voltage of the point of common coupling (PCC). When the grid is dis- connected from the system, the feedback signal overshoots then the feedback signal reaches the preset threshold value for islanding detec- tion and so the islanding control signal to the circuit breaker (CB) is triggered as shown in experimental result in Fig. 15. The islanding control signal is generated in less than half cycle after the grid is dis- connected. The faster operation can be controlled by changing the threshold to the feedback signal. The experimental results show the effectiveness of the proposed method for the practical application in the microgrid systems for islanding detection. The proposed method relies on the continuous injection of the signal to the inverter reference current to be generated. This affects the in- verter in the negligible way when the grid is available. When the grid is not present in the system the extracted feedback voltage signal from the PCC gives the information about the grid impedance change, thus this results in effective islanding detection. 6. Conclusion A control strategy is proposed for a grid interfaced and islanded hybrid ESS with a battery and supercapacitors as the energy storage devices. The frequency and voltage magnitude regulation at the point of common coupling are achieved under islanded conditions. The dynamic energy during transition from grid interfaced to islanding and vice versa is captured by supercapacitor pack and therefore, seamless transfer between both the modes is achieved. Further, the small signal average models of the system are developed to investigate the stability under various operating modes. 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