59
CHAPTER 4
SUPERCONDUCTING MAGNETIC ENERGY STORAGE
SYSTEM
4.1
INTRODUCTION
As a result of deregulation, electric power systems are facing
dramatic changes in operational requirements.
Complex and less secure
power system operation occurs due to the continuous electric growth and
higher regional power transfers in a largely interconnected network. With the
economic, environmental, technical and governmental regulation constraints,
power generation and transmission facilities have not been able to grow to
meet these new demands. At the same time, the growth of electronic loads
has made the quality of power supply a critical issue. Power system engineers
have a greater responsibility to operate the system in a more flexible and
controllable manner.
When power system disturbances occur, synchronous generators
are not always able to respond rapidly enough to keep the system in a stable
condition. The time constant for the turbine governor system is high and if a
high speed real or reactive power control is provided, load shedding or
generator dropping may be avoided during the disturbances. As mentioned
earlier, high speed reactive power control is possible through the use of
flexible ac transmission system devices. In some cases these devices can
provide high speed real power control through power circulation within the
converter, with the real power coming from the same line or in some cases
60
from adjacent lines leaving the same substation. This is where the energy
storage system plays an important role in maintaining the system reliability
and power quality.
Recent developments and advances in energy storage and power
electronics technologies are making the application of energy storage
technologies a viable solution for modern power applications. The storage
technologies are batteries, flywheels, ultra capacitors and superconducting
magnetic energy storage systems. The other technologies applied for utility
applications are pumped hydroelectric systems, compressed air energy storage
and flow batteries. Many of these technologies have been initially used for
large scale load levelling applications. But now the energy storage system is
used to enhance the system stability, aid power transfer and improve power
quality in power systems (Paulo et al 2001).
4.2
ENERGY STORAGE SYSTEMS
Electrical energy in an ac system cannot be stored as such
(electrically). But it can be stored by converting the electricity and storing it
electromagnetically, electrochemically, kinetically or as potential energy. A
power conversion unit is needed to convert the energy from one form to
another in all of the energy storage technologies. The amount of energy that
can be stored in the device and the rate at which energy can be transferred
into or out of the storage device are the two factors that characterize the
suitability of an energy storage system. This depends mainly on the peak
power rating of the power conversion unit, but is also impacted by the
response rate of the storage device itself.
The power / energy ranges for near to midterm technologies are
projected in Figure 4.1 (Paulo et al 2001). Integration of these four possible
energy storage technologies with flexible ac transmission systems and custom
61
power devices are among the possible power applications utilizing energy
storage.
Figure 4.1 Power Vs Energy ranges for near to midterm technology
4.2.1
Battery Energy Storage System (BESS)
In batteries, the energy is stored electrochemically. Batteries are
the most cost effective energy storage technologies available.
A battery
system is made up of a set of low-voltage / power battery modules connected
in parallel and series to achieve a desired electrical characteristic. Batteries
are “charged” when they undergo an internal chemical reaction under a
potential applied to the terminals.
They deliver the absorbed energy or
“discharge” when they reverse the chemical reaction. Key factors of batteries
for storage applications are: high energy density, high energy capability,
round trip efficiency, cycling capability, life span and initial cost.
A power conversion is required to interface the battery with an ac
system since they store dc charge. Small, modular batteries with power
electronic converters can provide four quadrant operation (bidirectional
current flow and bidirectional voltage polarity) with rapid response.
Increased energy storage densities, greater cycling capabilities, higher
reliability and lower cost are the recent advances in battery technologies.
62
Battery energy storage systems have recently emerged as one of the more
promising near term storage technologies for power applications, providing a
wide range of power system applications such as area regulation, area
protection, spinning reserve and power factor correction. Several BESS units
have been designed and installed in existing systems for the purposes of load
levelling, stabilising and load frequency control. The power system operation
and control can be improved with the integration of battery energy storage
with FACTS devices (Yang et al 2001).
There are some operational inconveniences with the BESS.
Batteries cannot operate at high power levels for long time periods due to the
chemical kinetics involved. Rapid, deep discharges lead to early replacement
of the batter, since heating resulting in this kind of operation reduces battery
lifetime. There are also environmental concerns related to battery storage due
to toxic gas generation during battery charge/discharge.
The disposal of
hazardous materials presents some battery disposal problems.
4.2.2
Ultra Capacitors
Capacitors store electric energy by accumulating positive and
negative charges separated by an insulating dielectric. The capacitance (C), is
the relationship between the stored charge (q), and the voltage between the
plates (V) as shown in equation 4.1.
The capacitance depends on the
permittivity of the dielectric ( ), the area of the plates (A) and the distance
between the plates (d), as shown in equation 4.2. Equation 4.3 shows that the
energy stored on the capacitor depends on the capacitance and on the square
of the voltage.
q = CV
(4.1)
C=
(4.2)
63
E=
CV
dV = i
(4.3)
+ i
R
(4.4)
By increasing the capacitance or the voltage stored on the capacitor,
the amount of energy stored in a capacitor can be increased. The voltage
stored is limited by the voltage withstand strength of the dielectric. From the
equation 4.2, it is understood that the capacitance can be increased by
increasing the area of the plates, increasing the permittivity or decreasing the
distance between the plates. The total voltage change when charging or
discharging capacitors is given as in equation 4.4. Ctot and Rtot are the result
from a combined series/parallel configuration of capacitor cells to increase the
total capacitance and the voltage level. The product RtotCtot determines the
response time of the capacitor for charging and discharging.
In the distribution dynamic voltage restorer and in custom power
device that compensates for temporary voltage sags on distribution systems,
the conventional dc capacitors are used as large scale energy storage.
Several varieties of advanced capacitors are in development. Ultra
capacitors are now available commercially at lower power levels. At present,
ultra capacitors (also known as super-capacitors) are most applicable for high
peak power low energy situations. The ultra capacitor provides extended
power availability during voltage sags and momentary interruptions. Ultra
capacitors can be stored completely discharged, installed easily and compact
in size.
4.2.3
Flywheel Energy Storage System
When the flywheel is coupled to an electric machine, it can be used
to store energy for power systems. A power converter is used to drive the
64
electric machine to provide a wider operating range. The energy stored in the
flywheel is given by the equation 4.5. The stored energy depends on the
moment of inertia (I) of the rotor and the square of the rotational velocity ( )
of the flywheel.
E=
(4.5)
The moment of inertia is given in equation 4.6.
I=
(4.6)
It depends on the radius (r), mass (m) and length of the rotor (h)
when the machine operates as a motor; energy is transferred to the flywheel,
charging the energy storage device. The flywheel is discharged when the
electric machine regenerates through the drive. The largest commercially
available flywheel system is about 5MJ / 1.6MVA weighing approximately
10000 kg. Flywheel energy storage can be implemented in power quality
applications, peak sharing and stability enhancement.
4.2.4
Superconducting Magnetic Energy Storage (SMES) System
Superconductivity was discovered in 1911. In 1970s SMES was
first proposed as an energy storage technology for power systems. SMES
systems have fast response and high efficiency. Hence, electric utilities and
military are focusing their attention towards SMES system. When compared
with other energy storage technologies, SMES systems are costly. However,
the integration of an SMES coil into the FACTS devices eliminates the cost
for the inverter unit, which is the largest portion of the cost for the entire
SMES system.
Recently, high temperature superconductors are in the
research stage.
Such type is cost effective due to the reductions in
65
refrigeration needs. There are a number of ongoing SMES projects currently
installed or in development throughout the world.
In the SMES system the energy is stored in the magnetic field
generated by the dc current flowing through superconducting coil.
The
inductively stored energy (E in joules) and rated power (P in watts) are the
commonly given specifications for SMES devices. The energy and power are
expressed as in equation 4.7.
E=
LI ; P =
= LI
= VI
(4.7)
where ‘L’ is the inductance of the superconducting coil, ‘I’ is the dc
current flowing through the coil and V is the voltage across the coil. The
energy is stored as circulating current. The energy can be drawn from an
SMES unit with almost instantaneous response with energy stored or
delivered over periods ranging from a fraction of a second to several hours.
An SMES unit consists of a large superconducting coil at the
cryogenic temperature. Figure 4.2 represents the block diagram of the SMES
system. The superconducting coil is maintained at cryogenic temperature.
This temperature is maintained by a cryostat or dewar that contains helium or
nitrogen liquid vessels. A power conversion/conditioning system connects
the SMES unit to an ac power system and it is used to charge/discharge the
coil. There are two types of power conversion systems. First one uses a
Current Source Converter (CSC) to both interface to the ac system and
charge/discharge the coil and the second type uses a Voltage Source
Converter (VSC) to interface to the ac system and a dc-dc chopper to
charge/discharge the coil. The VSC and dc-dc chopper share a common dc
bus. The SMES coil is charged or discharged by applying a positive or
negative voltage across the superconducting coil. The SMES system enters a
66
standby mode operation when the average voltage across the coil is zero,
resulting in a constant average coil current.
Figure 4.2 Block diagram of SMES system
Several factors such as coil configuration, energy capability,
structure and operating temperature are taken into account in the design of the
coil to achieve the best possible performance of an SMES system at the least
cost. A compromise is made between each factor considering the parameters
of energy/mass ratio, stray magnetic field and minimizing the losses for a
reliable, stable and economic SMES system. The coil configuration can be a
solenoid or a toroid. The solenoid type is simple and cost effective. The
operating temperature used for a superconducting device is a compromise
between the cost and the operational requirements.
It has been considered for load levelling, frequency support during
loss of generation, enhancing transient and dynamic stability, dynamic voltage
support, improving power quality and increasing transmission line capacity,
thus enhancing the overall reliability of power systems. The energy power
characteristics for potential SMES applications for generation, transmission
and distribution are shown in Figure 4.3. The square area in the Figure
67
represents the applications that are currently economical.
Therefore, the
SMES technology has a unique advantage in two types of application: power
system transmission control and stabilization and power quality (Paulo et al
2001).
P ow er (M W )
10,000
F re q ue nc y
C o ntrol
1,000
V oltag e/VA R
T ran s m iss io n
100
10
D yn a m ic R e sp on s e
G e ne ra tio n
C
Se
l
yc
S
Se
le s
Cyc
s
nd
eco
s
Mi
s
nd
M in
P ow er
Q u a lity
0.1
1
10
100
MWs
Figure 4.3
co
nd
S ta bility
T ran s m iss io n
C u sto m
Po w er
1
es
co
Sp in ning
R es erve
Energy-power
ute
M
Ho
s to
urs
in u
nu
urs
Ho
urs
Ho
te s
o
to H
te s
u rs
L o ad L ev eling
G e ne ra tio n
L oa d Le veling
T ra ns m is sio n
Lo a d L e ve lin g
D is tribu tion
1,000
1
10
100
1,000
10,000
MW hr
E ne rgy
characteristics
for
potential
SMES
applications for generation, transmission and distribution.
4.3
SMES SYSTEM COIL MODELLING
The methods available for the determination of the coil
characteristics
are
direct
measurement
on
actual
winding,
direct
measurements on an electromagnetic model of the coil or building a
mathematical model and determining the voltage distribution and frequency
response by means of the computer aided analysis. The first two methods,
give more reliable and accurate results than the mathematical analysis. But,
from the economical point of view, setting up of a mathematical model is the
68
most convenient method with the lowest cost. Also, many design alternatives
and detailed analysis can be done with the mathematical model of a winding.
A lumped parameter network model normally used and it contains
magnetic and dielectric circuits. The magnetic circuit is represented by self
and mutual inductance (L and M) of each turn. The dielectric circuit is
represented by capacitances between adjacent turns (Cadj), axially separated
turns (Cax) and turn to the outside surface (Cg). Due to the high memory and
computing costs, various degrees of simplification are necessary. When a
superconducting coil is simulated for a purpose of dynamic operation, it is a
common practice to represent the coil as an inductor (IEEE Task Force on
Bench Mark Models, 2006).
4.4
INTEGRATION OF SSSC WITH SMES SYSTEM
For the integration of SSSC with SMES, a multiphase GTO
chopper is modelled as shown in Figure 4.4. In FACTS / SMES application,
the dc-dc chopper is connected to a FACTS device through a link capacitor
maintaining a constant dc voltage (Molina 2004).
Figure 4.4 Structure of a GTO based chopper
69
Operating principles of the multiphase dc chopper can be explained
with the help of a single phase dc chopper. In a single phase chopper, the
GTO firing signal is a square wave with a specified duty cycle. The average
voltage and current of the SMES coil are related to the dc source voltage and
current of the SMES coil are related to the dc source voltage and average
current by the duty cycle applied. These relationships can be expressed as,
V
I
= [
= [
2d ] V
2d ] I
(4.8)
(4.9)
where, VSMESav is the average voltage across the SMES coil and
ISMESav is the average current through the SMES coil. Vdcav is the average dc
source voltage, Idcav is the average dc source current and d is the duty cycle of
the chopper.
There is no energy transfer at a duty cycle of 0.5, where the average
voltage of the coil is zero and the average coil current is constant. In cases of
duty, when cycle being larger than 0.5 or less than 0.5, the coil is either
charging or discharging respectively. Adjusting the duty cycle of the GTO
firing signals controls the rate of charging / discharging. For an n-phase dc
chopper, the duty cycle of firing signals of each phase is 1/n of the total duty
cycle. In the three phase chopper used, the duty cycle of each phase changes
from 0 to 1/3, and the frequencies of the GTO firing signals are 100Hz.
The dc-dc chopper has three modes of operation, in order to
perform the charge, discharge and the storage in the SMES device (Marcelo G
Molina et al 2005).
The chopper is operated in the step-down (Buck)
configuration in the charge mode of the superconducting coil. Here, the set of
thyristors “a” are operated with the duty cycle D while the set of thyristors
“b” are kept “ON” all times. The relationship between the coil voltage and
the dc bus voltage is stated by equation 4.10.
70
V
= D. V
(4.10)
Once the charging of the superconducting coil is completed, the
operating mode of the dc-dc converter is changed to the stand-by mode for
which the set of thyristors “a” are kept “OFF” all the time while the set of
thyristors “b” are kept “ON” constantly. Thus, the set of diodes “a”, also
called free-wheeling diodes, permits the stored current to flow continuously
until it is required (neglecting losses at semiconductors).
Finally, in the discharge mode the chopper is operated in a step-up
(Boost) configuration. Here, the set of thyristors “b” is operated with duty
cycle D and while the set of thyristors “a” is kept “OFF” at all times. It
should be remarked that the capacitor of the SSSC also works like part of the
dc-dc chopper to increase the voltage applied by the SMES device to the dc
bus. The relationship between the coil voltage and the dc bus voltage is stated
by equation 4.11.
V
= (
D) . V
(4.11)
The dc-dc chopper can be operated in a continuous spectrum of
duty cycle values ranging from 0 to1. The voltage in the dc bus is related to
the output voltage of the VSI of the SSSC system through the equation 4.12.
V
= k . |V
|
(4.12)
Where ka = ka
k is a constant associated with the pulse number of the VSI.
For the 48 pulse VSI,
= 2
and
a is the voltage ratio of the coupling transformer.
The total voltage ratio of the zigzag phase-shifting transformers is = 4
.
71
4.5
INTERNAL CONTROL SCHEME FOR THE INTEGRATED
SSSC - SMES SYSTEM
Figure 4.5 Control block diagram for the duty cycle of dc/dc chopper
A simplified functional scheme of the internal control of the
SSSC/SMES system is shown in Figure 4.5. The control scheme that is
proposed coordinates the control subsystems of the chopper and the VSI of
the SSSC.
The control scheme of the dc-dc chopper uses the control
algorithms proposed by Lassetter and Jalali (1991) and Marcelo G.Molina et
al (2004) as the basis. The control of the inverter is of the decoupled type
according to the components of active and reactive power. This control has
independent inputs of the reference signals of the current injected in the
connection bus, that is to say, the component of the wanted reactive current Iqr
and the component of the wanted active current Ipr.
The duty cycle D is estimated from the active power ratings that the
SSSC should inject (Vac.Ipr), from the voltage at the dc bus (Vdc) and from the
current stored into the superconducting magnetic coil ISMES, as it is shown in
Figure 4.8. This estimated value (
) is adjusted through a closed loop
control whose function is to eliminate the voltage error between the calculated
72
and the real voltage ratings at the dc bus through an integral controller. The
operating mode selector selects the proper mode for the charging and
discharging of the SMES coil. The value of Ki is set through a trial and error
method and the value is fixed as 25.
4.6
SIMULATION RESULTS
For the test system, SSSC/SMES combination is inserted.
Simulation is carried out for the power flow control initially. The real power
reference is initially set to 8.5 pu and then at 0.25 sec it is increased to 13 pu.
Since the SMES unit can exchange the real power demand of the system, the
13 pu is achieved. Figure 4.6 shows the waveform for the real power control
of the SSSC/SMES integrated system.
14
Line power flow (pu)
13
12
11
10
9
8
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
0.4
0.45
0.5
Figure 4.6 Real power flow through transmission line 2
Figure 4.7 shows the reactive power control of the SSSC-SMES
integrated system. The real power reference is fixed to 11 pu and the reactive
power reference is changed from 0.5 pu to 0.8 pu at 0.25 sec. Compared to
the system with SSSC in the integrated SSSC/SMES system, the peak
overshoot and the oscillations are reduced.
73
Reactive power flow (pu)
0
-0.2
-0.4
-0.6
-0.8
-1
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
0.4
0.45
0.5
Figure 4.7 Reactive power flow through line 2
The transient stability of the system is analysed with the application of
a three phase to ground fault in line 2. The real and reactive power references
are fixed at 11 pu and -0.67 pu respectively. Fault is applied at 0.2 sec and
cleared at 0.3 sec and the results are analysed. Figures 4.8 and 4.9 show the
waveforms of the real and reactive power flow through line 2.
Line power flow (pu)
20
15
10
5
0
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
0.4
Figure 4.8 Real power flow through line 2
0.45
0.5
74
25
Reactive power (pu)
20
15
10
5
0
-5
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
0.4
0.45
0.5
Figure 4.9 Reactive power flow through line 2
The injected voltage by SSSC, the current through line 2 and the
voltage across the dc capacitor are shown in Figures 4.10, 4.11 and 4.12
respectively. In the integrated system, the settling of the dc capacitor voltage
is fast compared to the system with SSSC.
0.8
Injected voltage (pu)
0.6
0.4
0.2
0
-0.2
-0.4
-0.6
-0.8
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
Figure 4.10 Injected voltage from SSSC
0.4
0.45
0.5
75
Current through line 2 (pu)
150
100
50
0
-50
-100
-150
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
0.4
0.45
0.5
Figure 4.11 Current through line 2
7
x 10
4
C a p a c ito r V o lta g e (V )
6
5
4
3
2
1
0
0
0.05
0.1
0.15
0.2
0.25
0.3
0.35
0.4
Time (s)
Figure 4.12 Voltage across the dc capacitor
0.45
0.5
76
2.5
Output active power (pu)
2
1.5
1
0.5
0
-0.5
-1
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
0.4
0.45
0.5
Figure 4.13 Electrical power output from generator 1
50
Load angle (degrees)
40
30
20
10
0
-10
-20
0
0.05
0.1
0.15
0.2
0.25
0.3
Time (sec)
0.35
0.4
0.45
0.5
Figure 4.14 Load angle of machine 1.
Figure 4.13 and 4.14 show the waveforms of the electrical power
output and load angle for machine 1. From the figures, it is clear that the
oscillations are reduced for the system with SSSC/SMES combination. The
overshoot and settling time are also less in the second case. Table 4.1 shows
77
the comparative performances of the system with SSSC and with
SSSC/SMES combination.
Table 4.1
Comparative results for the system with SSSC and with
SSSC-SMES Combination
With SSSC
For Pref 8.5 pu
For Pref 13 pu
Real power in line 2 Peak value (pu)
(fault condition)
Reactive power in line 2 Peak value (pu)
(fault condition)
Injected voltage
Final value (pu)
8.5
12.8
20.2
SSSC-SMES
COMBINATION
8.5
13
17.1
24.1
20.4
0.06
0.055
Electrical power output Peak value (pu)
from generator 1
Load angle in generator 1 Peak
value
(degrees)
2.14
1.94
51
44
Real power in line 2
4.7
CONCLUSION
A detailed study of various energy storage systems has been done.
The superconducting energy storage device is discussed in detail.
The
detailed modelling of SMES system is given. The modes of operation of the
SMES system have been discussed. For the integration of SMES system with
SSSC, two quadrant three phase chopper has been discussed. The control
structure for the generation of duty cycle for the chopper has been mentioned.
A comparative study of the system with and without SMES has been done. It
is clear from the simulated results that the system with SMES is better than
the system without SMES.