chapter 4 enhancement of power quality using dvr...
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CHAPTER 4
ENHANCEMENT OF POWER QUALITY USING DVR
4.1. INTRODUCTION
At present, modern industrial devices are typically based on
power electronic devices such as programmable logic controllers and
adjustable speed drives. The electronic devices are very responsive to
disturbances and become less tolerant to power quality problems such
as voltage sags, swells and harmonics. Voltage dips are considered to
be one of the most severe disturbances to the industrial equipments
[130].
DVRs are a class of custom power devices for providing
consistent distribution power quality. They use a series of voltage
boost technology using solid state switches for compensating voltage
sags/swells [115]. The DVR applications are mostly for sensitive loads
that may be considerably affected by fluctuations in system voltage.
Among the power quality problems viz. sags, swells, harmonics
etc.., voltage sags are the most severe disturbances. Overcome these
problems from the concept of custom power devices. DVR is the most
efficient and effective modern custom power device used in power
distribution networks [94]. It is recently proposed series connected
solid state device that injects voltage into the system in order to
control the load side voltage. It is usually installed in a distribution
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system between the utility and the critical load feeder at the point of
common coupling.
DVR has been modelled with PI Controller and Fuzzy Logic
Controllers to enhance the performance of the system. The main
objective of the above model is to improve the power quality of the
system during different types of faults like three phase fault, single
line to ground fault and double line to ground fault points are to be
discussed in this chapter.
4.2. BASIC CONFIGURATION OF DVR
The common configuration of the DVR consists of the following
necessary units.
1 An Injection/ Booster transformer
2 A Harmonic filter
3 Storage Devices
4 A Voltage Source Converter
5 DC charging circuit
6 A Control and Protection system
4.2.1. Injection/ Booster Transformer
The Injection / Booster transformer is a particularly designed
transformer that attempts to limit the coupling of noise and transient
energy from the primary side to the secondary side [26, 16]. Its major
tasks are given below.
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Fig. 4.1 Schematic Diagram of DVR.
1. It connects the DVR to the distribution network using the HV-
winding of the transformer and couples the injected
compensating voltages generated by the voltage source
converters to the incoming supply voltage.
2. In addition, the Injection / Booster transformer serves the
function of isolating the load from the system (VSC and control
mechanism).
4.2.2. Voltage Source Converter
A VSC is a power electronic system consists of a storage device
and switching equipment, which can produce a sinusoidal voltage at
any necessary frequency, magnitude and phase angle. In the DVR
application, the VSC is used to momentarily replace the supply voltage
or to produce the part of the supply voltage which is missing [109].
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The purpose of storage devices is to supply the necessary energy
to the VSC using a DC Link for the generation of injected voltages. The
different kinds of energy storage devices are superconductive magnetic
energy storage (SMES) [55, 64], batteries and capacitance [17].
4.2.3. DC Charging Circuit
The dc charging circuit has two main tasks.
1 The first task is to charge the energy source after a sag
compensation event.
2 The second task is to maintain DC Link voltage at the nominal
DC Link voltage.
4.2.4. Equations related to DVR
Fig. 4.2 Equivalent Circuit Diagram of DVR.
The load impedance Zth depends on the fault level of the load
bus. When the system voltage (Vth) drops, the DVR injects a series
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voltage VDVR through the injection transformer so that the desired load
voltage magnitude VL can be maintained. The series injected voltage of
the DVR can be written as
THLTHLDVR VIZVV (4.1)
Where
VL: The desired load voltage magnitude
ZTH: The load impedance.
IL: The load current
VTH: The system voltage during fault condition
The load current IL is given by,
L
LL
LV
jQPI
(4.2)
When VL is considered as a reference equation can be rewritten
as,
THTHLDVR VZVV 0 (4.3)
,, are angles of VDVR, ZTH ,VTH respectively and is Load
power angle
The complex power injection of the DVR can be written as,
*
LDVRDVR IVS (4.4)
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It requires the injection of only reactive power and the DVR itself
is capable of generating the reactive power.
4.3. CONTROL STRATEGIES
There are various control methods proposed for DVR, such as
the Voltage Space Vector PWM suggested by Changjiang Zhan et al in
[23 & 24]. Teke K. Bayindir et al [115] presented a Fuzzy Logic
Control. These studies show that the transient response of the FLC is
better than that of PI Controller. A new approach to estimate
symmetrical components for controlling the DVR was suggested by
Mostafa I. Marei et al [85].
H. Ezoji et al [59] recommended the use of DVR based on
hysteresis voltage control. Hysteresis voltage control based on
unipolar pulse width modulation has been used to control DVR. The
hysteresis voltage control in terms of quick controllability and easy
implementation hysteresis band voltage control has the highest rate
among other control methods.
4.3.1. PI Controller
The endeavor of the control method is to maintain constant
voltage magnitude at the point where a sensitive load is connected,
under system disturbances. The control system only evaluates the
root mean square (RMS) voltages at the load terminals, i.e., no reactive
power measurements are required. The VSC switching approach is
based on a sinusoidal PWM technique which proposes simplicity and
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good response. Since custom power is a comparatively low-power
application, PWM methods offer a more flexible alternative than the
Fundamental Frequency Switching (FFS) methods. Besides, high
switching frequencies can be used to get better on the efficiency of the
converter, without incurring considerable switching losses.
The controller input is an error signal acquired from the
reference voltage and the RMS value at the terminal voltage measured.
Such error is processed by a PI Controller, the output angle is δ,
which is provided to the PWM signal generator. An error signal is
obtained by comparing the reference voltage with the RMS voltage
measured at the load point [115]. The PI Controller process the error
signal, then produces the required angle to drive the error to zero, i.e.,
the load RMS voltage is brought back to the reference voltage.
Fig. 4.3 PI Controller.
4.3.2. Hysteresis Voltage Control
Hysteresis voltage control is used to get better the load voltage
and find out switching signals for inverters gates. A necessity of the
hysteresis voltage control is based on an error signal between an
injection voltage (Vinj) and a reference voltage of DVR (Vref) which
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produces appropriate control signals [59]. There is a Hysteresis Band
(HB) above and under the reference voltage. When the difference
between the reference and inverter voltage reaches to the upper/ lower
limit, the voltage is forced to decrease/increase as shown in Fig.4.4.
Fig. 4.4 Hysterisis Band Voltage Control.
4.3.3. Fuzzy Logic Controller
The fuzzy logic controller for the proposed DVR has two real
time inputs measured at every sampling time, named error and error
rate and one output named actuating-signal for each of the phases.
The input signals are fuzzified and represented in fuzzy set notations
by membership functions. The defined ‘if … then …’ rules produce the
linguistic variables and these variables are defuzzified into control
signals for comparison with a carrier signal to generate PWM inverter
gating pulses.
ErrA = VpllA - VSA (4.5)
)1()( nErrnErrErr AAA (4.6)
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Fuzzy logic control involves three steps: fuzzification, decision-
making and defuzzification. Fuzzification transforms the non-fuzzy
(numeric) input variable measurements into the fuzzy set (linguistic)
variable that is a clearly defined boundary.
Fig.4.5 Membership function Input variable “Error”
Fig. 4.6 Membership function Input variable “Error rate”
Fig.4.7 Membership function for output
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In the proposed controller, the error and error rate are defined
by linguistic variables such as large negative (LN), medium negative
(MN), small negative (SN), small (S), small positive (SP), medium
positive (MP) and large positive (LP) characterized by memberships.
The memberships are curves that define how each point in the input
space is mapped to a membership value between 0 and 1. The
membership functions belonging to the other phases are identical.
Membership functions for the inputs are shown in Fig.4.5 and Fig.4.6.
The membership function of output variable is shown in Fig.4.7.
Table 4.1 Decision table for fuzzy logic control
There are 49 rules to carry out optimum control action and each
rule expresses an operating condition in the system as shown in Table
4.1. The person’s experience and knowledge about the system
behavior help to define the rules. The correct combinations of these
rules improve the system performance. All rules are evaluated in
parallel and the order of the rules is not important. The decision table
for fuzzy logic control rules is shown in Table 4.1
The outputs of FLC process are the control signals that are used
in generation of PWM inverter switching signals by comparing a
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carrier signal. The generation of switching signals for single phase of
the system is shown in Fig. 4.13 where the configuration will be the
same for other phases.
4.4. SIMULATION OF DVR WITH PI CONTROLLER AND
FUZZY LOGIC CONTROLLER
Computer simulation has become an indispensable part of the
power electronics design process. DVR is a power electronics device
which consists of voltage source converter as an important element.
The overall design process can be shortened through the use of
computer simulations, since it is usually easier to study the influence
of a parameter on the system behavior in simulation. Main system
simulation model without DVR has been created in Matlab/Simulink
as shown in Fig 4.8.
Fig. 4.8 Main System without DVR.
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The test system employed to carry out the simulations for DVR
with PI Controller and Fuzzy Logic Controller is given in Fig 4.9 and
Fig 4.10. Such system is composed by a 13 kV, 50 Hz generation
system, feeding two transmission lines through a 3-winding
transformer connected in Y/Δ/Δ, 13/115/115 kV. Such transmission
lines feed two distribution networks through two transformers
connected in Δ/Y, 15/11 kV.
To verify the working of a DVR employed to avoid voltage sags
during short-circuit, via a resistance of 0.4 Ω. Such fault is applied for
400msec. The capacity of the dc storage device is 5 kV.
Fig. 4.9 PI Controller subsystem.
The test system of without DVR during faults like three phase
fault, single line to ground fault and double line fault is analyzed.
Observed load voltage problems like sag, swell and interruption. Then
to overcome these problems DVR is connected for the test system in
addition to the controllers like PI Controller with parameters KP = 0.5,
Ki = 50 & sample time 50µsec and Fuzzy Logic Controller for the
enhancement of the performance and THD improvement.
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Fig. 4.10 Main diagram of DVR with Fuzzy Logic Controller.
Fig. 4.11 DVR subsystem.
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Fig. 4.12 Fuzzy Logic Controller subsystem.
Fig. 4.13 Phase Modulation (for control angle ) Sub system.
4.4.1. Simulation Results for Voltage Sag during Three Phase
Fault
The first test system contains no DVR and a three-phase short-
circuit fault is applied, via a fault resistance of 0.4Ω, during the period
500 to 900ms. The load voltage is 35% with respect to the reference
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voltage. Fig. 4.14 shows the RMS load voltage sag at the RL load (R =
10Ω and L = 10-6H) for the case when the system operates with no
DVR.
The second test system is carried out using the same scenario
as above but now DVR with PI Controller and DVR with Fuzzy Logic
Controller are in operation. The total simulation period is 1400 ms.
When the DVR is in operation the voltage sag is mitigated almost
completely and the rms voltage of the sensitive load is maintained at
98% while DVR with FLC as shown in Fig. 4.15 with the capacity of
the dc storage device is 5 kV.
Fig. 4.14 Voltage VRMS at the load without DVR.
The PWM control scheme controls the magnitude and the phase
of the injected voltages, restoring the RMS voltage very effectively. The
sag mitigation is performed with a smooth, stable and rapid DVR
response. Two transient undershoots are observed when the DVR
comes in and out of operation. It should be noted that in the DVR, the
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dc voltage is supplied by a dc capacitor. Several simulations were
carried out to assess the performance of the DVR as a function of
short circuit proximity and the compensation capability of DVR
depends on the capacity of the energy storage device. Fig. 4.16 and
Fig. 4.17 show that the compensating capability of DVR depends on
the capacity of the DC energy storage.
Fig. 4.15 Voltage VRMS at the load with 5KV Energy Storage.
Fig. 4.16 Voltage VRMS at the load with 3KV Energy Storage.
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Fig. 4.17 Voltage VRMS at the load with 8KV Energy Storage.
4.4.2. Simulation Results for Voltage Sag during Single Line
to Ground Fault
The first test system contains no DVR and a single line to
ground fault is applied and the corresponding waveform as shown in
Fig. 4.18, via a fault resistance of 0.2 Ω, during the period 500 to 900
ms. The voltage sag at the load voltage is 30% with respect to the
reference voltage.
The second test system is carried out using the same scenario
as above but now DVR with PI Controller and DVR with Fuzzy Logic
Controller are in operation. The total simulation period is 1400 ms.
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Fig. 4.18 Voltage VRMS at the load without DVR.
When the DVR is in operation the voltage sag is mitigated
almost completely and the RMS voltage of the sensitive load is
maintained at 98%, as shown in Fig. 4.19.
Fig. 4.19 Voltage VRMS at the load with 6.5KV Energy Storage.
The DVR response is smooth, stable and rapid to mitigate sag
during single line to ground fault. Two transient undershoots are
observed when the DVR comes in and out of operation. The
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compensation capability of DVR depends on the capacity of the energy
storage device. Fig. 4.19, Fig. 4.20, Fig. 4.21 and Fig. 4.22 shows DC
energy storage of 6.5KV, 6KV, 4KV and 8KV respectively.
Fig. 4.20 Voltage VRMS at the load with 6KV Energy Storage.
Fig. 4.21 Voltage VRMS at the load with 4KV Energy Storage.
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Fig. 4.22 Voltage VRMS at the load with 8KV Energy Storage.
4.4.3. Simulation Result of Voltage Sag during Double Line
Fault
The first test system contains no DVR and a double line fault is
applied via a fault resistance of 0.1 Ω, during the period 500 to 900
ms. The voltage sag at the load voltage is 65% with respect to the
reference voltage. Fig. 4.23 shows the RMS voltage at the load point
for the case when the system operates with no DVR.
The second test system is carried out using the same scenario
as above but now DVR with PI Controller and DVR with Fuzzy Logic
Controller are in operation. The total simulation period is 1400 ms.
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Fig. 4.23 Voltage VRMS at the load without DVR.
When the DVR is in operation the voltage sag is mitigated
almost completely and the RMS voltage of the sensitive load is
maintained at 98%, as shown in Fig. 4.24.
Fig. 4.24 Voltage VRMS at the load with DVR Energy Storage of
6.68KV.
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Fig. 4.24, Fig. 4.25, Fig. 4.26 and Fig. 4.27 shows that the
compensating capability of DVR depends on the capacity of the DC
energy storage of 6.68KV, 6.2KV, 5.6KV and 8KV respectively.
Fig. 4.25 Voltage VRMS at the load with 6.2KV Energy Storage.
Fig. 4.26 Voltage VRMS at the load with 5.6KV Energy Storage.
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Fig 4.27 Voltage VRMS at the load with 8KV Energy Storage
4.4.4. Simulation Result of Voltage Interruption during
Three- Phase Fault
The first test system contains no DVR and three phase fault is
applied via a fault resistance of 0.001 Ω, during the period 500 to 900
ms. The voltage at the sensitive load is 0% with respect to the
reference voltage. Fig. 4.28 shows the RMS voltage at the load point
for the case when the system operates with no DVR.
The second test system is carried out using the same scenario
as above but now DVR with PI Controller and DVR with Fuzzy Logic
Controller are in operation. The total simulation period is 1400 ms.
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Fig. 4.28 Voltage VRMS at the load without DVR.
When the DVR is in operation the voltage sag is mitigated
almost completely and the RMS voltage of the sensitive load is
maintained at 98%, as shown in Fig. 4.29.
Fig. 4.29 Voltage VRMS at the load with DVR Energy Storage of 4.9KV.
The sag mitigation is performed with a smooth, stable and rapid
DVR response, two transient undershoots are observed when the DVR
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comes in and out of operation. The compensation capability of DVR
depends on the capacity of the energy storage device. Fig. 4.29 and
Fig. 4.30 show that the compensating capability of DVR depends on
the capacity of the DC Energy Storage.
Fig. 4.30 Voltage VRMS at the load with 3KV Energy Storage.
Fig. 4.31 Voltage VRMS at the load with 2KV Energy Storage.
Fig. 4.32 shows that if the energy storage is more than the
required it will give swell at the load.
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Fig. 4.32 Voltage VRMS at the load with 7KV Energy Storage.
4.4.5. Simulation Result of Voltage Swell
The first test system contains no DVR and capacitive load C =
28.4µF is applied during the period 500 to 900 ms. The voltage swell
at the load point is 25% with respect to the reference voltage is shown
in Fig. 4.33.
Fig. 4.33 Voltage VRMS at the load without DVR.
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The second test system is carried out using the same scenario
as above but now with the DVR in operation. The total simulation
period is 1400 ms.
When the DVR is in operation the voltage swell is mitigated
almost completely and the RMS voltage at the sensitive load is
maintained normal, as shown in Fig. 4.34. Two transient undershoots
are observed when the DVR comes in and out of operation.
Fig. 4.34 Voltage VRMS at the load with DVR Energy Storage of 6.8KV.
4.5. SUMMARY
DVR is a recently proposed series connected solid state device
that injects voltage into the system in order to regulate the load side
voltage. It is normally installed in a distribution system between the
supply and the critical load feeder at the point of common coupling.
Other than voltage sags and swells compensation, DVR can also
added other features, those are line voltage harmonics compensation,
reduction of transients in voltage and fault current limitations and
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then analyze the dynamic and steady-state performance of DVR. The
results of voltage and current waveforms of DVR using PI Controller
and Fuzzy Logic Controller with voltage sag during three phase fault,
voltage sag during single line to ground fault, voltage sag during
double line fault, voltage interruption during three phase fault and
voltage swell points are analyzed. DVR with Fuzzy Logic Controller
performs better among DVR with PI Controller and Fuzzy Logic
Controller.