chapter 3 h bridge based dvr system -...
TRANSCRIPT
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CHAPTER 3
H BRIDGE BASED DVR SYSTEM
3.1 GENERAL
The power inverter is an electronic circuit for converting DC power
into AC power. It has been playing an important role in our daily life, as well
as in industrial fields. Power inverters are installed in a wide range of
consumer products and high-power equipment, including temperature control,
light control, motor control, power supplies, bulk transportation systems,
HVDC systems and FACTS. And the power rating of those power devices
ranges from milli-watts to several megawatts as described by Mohan (2003).
Since 1975, many researchers have been dedicated to developing
new control methods and new modulation techniques for power inverters. The
most popular modulation technique adopted in industrial applications is
sinusoidal PWM. The concept is derived from the classical PWM method, in
which a modulating signal is compared with triangular carriers to generate the
gate signals. Such modulating signal is derived by an error amplifier, typically
a proportional-plus-integral controller, which compares the reference signal
and the actual output. The error signal will then be combined with a
synchronous reference frame to generate a synchronized gate signal.
However, due to the limited bandwidth of the overall control mechanism, the
actual output will inherently have a phase lag and magnitude error, which will
increase with the disturbance frequency. Another modulation technique is the
Space-Vector Modulation (SVM), which is dominantly applied to three-phase
inverters. It features good utilization of dc-link voltage and low current ripple,
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but its implementation is generally complex and computationally intensive.
As the generation of the space vector table is based on considering the phase
and magnitude of the steady-state vectors, the inverter output regulation, and
thus the dynamic response, is governed by the output voltage or current
controller.
An alternative way to regulate the inverter output is to use the
boundary control technique, which is based on hysteresis comparison on a
well-defined switching surface to determine the switching instants of the
output. Typical examples include Hysteresis Current Control (HCC) and
sigma-delta modulation (SDM) methods. The concept of HCC is based on
continually tracking the actual output current with the reference current within
a hysteresis band to generate the gate signals. Some variant techniques use
multiple hysteresis bands, with each band representing switching between two
adjacent voltage levels. SDM is based on integrating the error between the
actual output voltage and the reference voltage, and comparing the integral
error with a hysteresis quantizer to dictate the switching states. Such
boundary-control-based methods are robust and able to give fast dynamic
response to large-signal disturbances, but their fundamental control
philosophy relies on observing the instantaneous state variables and
generating the gate signals without taking the state trajectory movement into
account.
3.2 BRIDGE INVERTERS
Bridge inverter can be classified into two categories, namely the
half-bridge inverter and the full-bridge inverter. Half-bridge and full-bridge
inverters are employed in most household appliances such as air conditioners,
washing machines and refrigerators. Their circuit structures and basic
operating principles are reviewed and presented below.
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3.2.1 Half-Bridge Inverters
The schematic diagram of a single-phase half-bridge VSI is shown
in Figure 3.1(a). It consists of two power switches (S1and S
2), two power
diodes (D1 and D2) and two cumbersome capacitors (C
1 and C2). The two
capacitors are connected in series across the DC input. They split the DC link
voltage with a neutral point n, thus the potential across each capacitor is
constant and with a value equal to Vdc/2. S1
and S2
are on/off solid state
switches such as SCR, GTO, IGBT or power MOSFET. They cannot be
turned on simultaneously as a short circuit across the DC link input would be
produced under such situation. D1and D
2are called feedback diodes. They are
connected in anti-parallel with S1and S
2. There are three switch modes in the
single-phase half-bridge VSI. When S1is switched on and S
2is switched off,
the instantaneous voltage across the inverter output vo is equal to Vdc/2. D1
conducts when the load is an inductive load. The load current io would
continue to flow through D1, load and C
1until the current falls to zero.
Likewise, when S1 is switched off and S2 is switched on, vo is equal to -Vdc/2.
io would continue to flow through D2, load and C2 when an inductive load is
connected. The output voltage of the inverter is undefined when both S1 and
S2 are switched off. vo can equal to Vdc/2 or -Vdc/2, depending on which diode
is conducted. Figure 3.1(b) shows the waveform of the inverter when an
inductive load is connected. The switch states of single-phase half-bridge VSI
are summarized in Table 3.1.
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Table 3.1 Switch states of single-phase half-bridge VSI.
State No Switch states Vo Components conducting
1 S1 is on and S2 is off Vdc/2 S1 if io > 0, D1 if io< 0
2 S1 is off and S2 is on –Vdc/2 D2 if io > 0, S2 if io< 0
3 S1 and S2 are off–Vdc/2
Vdc/2D2 if io > 0, D1 if io< 0
Figure 3.1 Single-phase half-bridge inverter (a) Schematic diagram
and (b) output waveform with highly inductive load
3.2.2 Full-bridge Inverters
Figure 3.2(a) shows the schematic diagram of a single-phase full-
bridge VSI (H-bridge inverter). It consists of four power switches (S1to S
4)
and four power diodes (D1to D
4), which double the number of switches and
diodes integrated in a single-phase half-bridge inverter. Similar to the half-
bridge inverter, S1and S
4in leg a (or S
2and S
3in leg b) should not be switched
on simultaneously in order to prevent a short circuit across the DC link input.
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Figure 3.2 Single-phase full-bridge inverter (a) Schematic diagram and
(b) output waveform with highly inductive load
Table 3.2 Switch states of a single-phase full-bridge VSI
State
No.
Switch states Van Vbn Vo Components
conducting
1 S1 and S2 are on and S3
and S4 are off
Vdc/2 –Vdc/2 Vdc S1 and S2 if io > 0
D1 and D2 if io < 0
2 S3 and S4 are on and
S1 and S2 are off
-Vdc/2 Vdc/2 -Vdc D3 and D4 if io > 0
S3 and S4 if io < 0
3 S1 and S3 are on and
S2 and S4 are off
Vdc/2 Vdc/2 0 S1 and D3 if io > 0
D1 and S3 if io < 0
4 S2 and S4 are on and
S1 and S3 are off
-Vdc/2 -Vdc/2 0 S2 and D4 if io > 0
D2 and S4 if io < 0
5 S1, S2, S3, and S4 are all off -Vdc/2
Vdc/2
Vdc/2
-Vdc/2
Vdc -
Vdc
D3 and D4 if io > 0
D1 and D2 if io < 0
D1to D
4are connected in anti-parallel with the switches S
1to S
4respectively.
When an inductive load is connected, the diodes are conducted and the energy
is fed back to the DC link input, hence, they are called feedback diodes.
Figure 3.2.b shows the waveforms of the output voltage v and output current
io of a full-bridge VSI when a highly inductive load is connected. There are
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five switch modes in a single-phase full-bridge VSI and they are summarized
in Table 3.2. When S1 and S2 are switched on, and, S3 and S4 are switched off,
the instantaneous voltage across the inverter output vois equal to V
dc.When S1
and S2 are switched off, and, S3 and S4 are switched on, vo is equal to -Vdc.
When either upper switches (S1 and S3) or lower switches (S2 and S4) are
switched on, vo would become zero. When all the switches (S1 to S4) are
switched off, vo is undefined. vo could be Vdc or – Vdc depending on which
pair of diodes are conducted.
Generally, there are two PWM schemes in full-bridge inverter,
namely PWM with bipolar voltage switching and PWM with unipolar voltage
switching. In PWM with bipolar voltage switching, vo changes between Vdc
and Vdc only. The harmonic spectrum of the PWM signals and the inverter
output voltage are the same. This operation is identical to half-bridge inverter.
In PWM with unipolar voltage switching, the output voltage changes between
zero and Vdc or between zero and Vdc. In comparison with the bipolar
voltage switching scheme, the unipolar voltage switching scheme has the
advantage of effectively doubling the switching frequency across the inverter
output voltage. Besides, the voltage step across the inverter output is Vdc
while the bipolar PWM has a voltage step equals to 2Vdc.
The peak reverse blocking voltage of each switching device in both
half-bridge and full-bridge inverters are the same. Although the fundamental
components in full-bridge inverter are double of that in half-bridge inverter,
the output power of full-bridge inverter is four times higher than the half-
bridge inverter. This is the reason why the full-bridge inverters are preferred
in higher voltage and higher power applications.
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3.3 SIMULATION RESULTS
In this chapter, investigations on H-bridge based DVR is done with R,
RL, and non-linear loads for change in load conditions by applying different
PWM techniques and the results are compared based on the better THD
reduction, which is not found in the research works mentioned in the literatures
review. Hence a simulation study on the same is taken up and the results are
presented and the outcomes are discussed as follows.
For a H-bridge based DVR, 50 Hz frequency, the pulse width works
out to 10 ms as follows,
T = 1/f
= 1/ 50
= 20 ms
For half cycle, T/2 = 10 ms
Pulse width = 10 ms.
Therefore the control circuit of the inverter is designed to produce a pulse of
width 10ms.
The circuit model for DVR system is shown in Figure 3.3. Generator
impedance is shown in series with the source. Line impedance is connected in
series with the generator. It also shows the line compensation circuit with
additional AC source. During normal conditions, there is normal flow of current
through load-1 and breaker-3 is closed.When breaker-2 is closed an extra load is
added to and voltage sag occurs due to the increased drop. At this point breaker-1
closes and breaker-3 opens and allows additional AC source to inject voltage.
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The Figure 3.4 shows the voltages across transformer primary. The
voltages across loads 1 and 2 are shown in Figure 3.5. The Figure 3.6 shows the
line compensation using DVR circuit. The model for DVR is shown in Figure
3.7. The DVR is represented as sub system. The DVR system has four
MOSFETs. The Figure 3.8 shows the DVR circuit with LC filter. The LC filter is
added with DVR to get better output. It is designed to absorb fifth order
harmonics. The Figure 3.9 shows the voltage waveforms of injection and
compensated voltage across load-1 and load-2. The Figure 3.10 shows the
voltage waveforms of injection and compensated voltage across load-1 and load-
2 with LC filter. From this figure it can be seen that proper voltage is injected to
improve the voltage profile. At t = 0.5sec, the DVR injects voltage and the
receiving end voltage resumes to the normal value. Thus the voltage quality is
improved by using DVR. The data used for simulation is given in appendix I.
e3
e2e1
v+
-
Vt5
v+
-
Vt2v
+
-
Vt1
S1
S
12
Li
LOAD-2
LOAD-1
Br3Br2
Br1
AC2
AC
Figure 3.3 Line compensation circuit with additional AC source
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Figure 3.4 Voltage across transformer primary
Figure 3.5 Voltage across load-1 and load-2
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Figure 3.6 Compensation using DVR circuit
33
Figure 3.7 H-Bridge sub system
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Figure 3.8 DVR with LC filter
35
Figure 3.9 Voltage waveforms of injection, load-1 & load-2
without filter
Figure 3.10 Voltage wave forms of injection, load-1 and load-2 with filter
36
PWM methods like single PWM, multiple PWM and SVM are
considered to find a better modulation method to reduce the THD of DVR
system with RL and non linear loads. Figure 3.11 shows the DVR system
with H-bridge inverter with RL load. Figure 3.12 shows the output voltage
across DVR and load-1. Here single pulse PWM method is used. Up to 0.2
sec, load-1 is connected to main circuit. At t=0.2 sec load-2 is connected to
the main circuit using circuit breaker. As a result voltage sag occurs. At t=0.4
sec, the DVR is connected. As a result the voltage is compensated. Figure
3.13 shows the RMS line voltage with sag and compensation condition.
Figure 3.14 shows the FFT analysis for line voltage. It has a THD of 12.9%.
Percentage THD is calculated using the formula (VH/V1)*100. Where
VH= (V32
+V52
+ V72).
Figure 3.11 DVR system with RL load
37
Figure 3.12 Voltage waveforms across DVR and Load-1
Figure 3.13 RMS output voltage across load-1
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Figure 3.14 FFT analysis for line voltage
Figure 3.15 shows the DVR system with RL load. Here sine PWM
(SPWM) method is used. Figure 3.16 shows the sine PWM pulses for
switches. Figure 3.17 shows the output voltage across DVR and load-1. Up to
0.2 sec load-1 is connected. At t=0.2 sec additional load (load-2) is connected.
As a result voltage sag occurs. At t=0.4 sec, the DVR is connected and the
voltage is compensated. Figure 3.18 shows the RMS line voltage with sag and
compensation condition. Figure 3 .19 shows the FFT analysis for the line
voltage. It has THD of 10.18%. SPWM method has lesser harmonics
compared to single pulse method.
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Figure 3.15 DVR System with RL load
Figure 3.16 PWM pulses
40
Figure 3.17 Voltage waveforms across DVR and load-1
Figure 3.18 RMS output voltage across load-1
41
Figure 3.19 FFT analysis for line voltage
Figure 3.20 shows the DVR with non-linear load. Figure 3.21
shows the output voltgae waveforms across DVR and load-1. Here single
pulse PWM method is used. Upto 0.2 sec, load-1 is connected. At t=0.2 sec an
additional load (load-2) is connected. As a result voltage sag occurs. At t=0.4
sec, the DVR is connected and as a result the voltage is compensated. The
Figure 3.22 shows the voltage across non linear load. The Figure 3.23 shows
the RMS line voltage with sag and compensation across load-1. The Figure
3.24 shows the FFT analysis for line voltage. It has a THD of 12.90%.
42
Figure 3.20 DVR system with non-linear load
Fig 3.21 Voltage waveforms across DVR and load-1
43
Figure 3.22 Voltage across the non-linear load
Figure 3.23 RMS output voltage across load-1
44
Figure 3.24 FFT analysis of line voltage
Figure 3.25 shows the DVR with non-linear load. Uncontrolled
rectifier with capacitor is used as a non linear load. Figure 3.26 the output
voltgae waveforms across DVR and load-1. Here sine PWM method is used.
Upto 0.2 sec, load-1 is connected. At t=0.2 sec an additional load (load-2) is
connected. As a result the voltage sag occurs. At t=0.4 sec the DVR is
connected and as a result voltage is compensated. Figure 3.27 shows the
voltage across non-linear load. Figure 3.28 shows the RMS line voltage with
sag and compensation across load-1. Figure 3.29 shows the FFT analysis of
line voltage. It has THD of 11.77%. SPWM has less harmonics compared to
the single PWM.
45
Figure 3.25 DVR system with non-linear load
Figure 3.26 Voltage waveforms across DVR and load-1
46
Figure 3.27 Voltage across the non-linear load
Figure 3.28 RMS output voltage across load-1
47
Figure 3.29 FFT analysis of line voltage
The THD values obtained in the results of the above mentioned
simulations are summarized in the table 3.3. The THD levels are still higher
to minimize the THD further SVM method is tried.
Table 3.3 Comparison of THD values
Type of Load RL Load Non-linear Load
Type of PWM
technique
Single
PWMSine PWM
Single
PWMSine PWM
THD Values 12.9 10.18 21.2 11.77
3.4 DVR SYSTEM USING SPACE VECTOR MODULATION
Figure 3.30 shows the model of DVR system. It consists of three-
phase source, three-phase load and three-phase DVR with SVM controller.
48
When the load is increased, the voltage sag occurs at the load side. This
voltage sag is compensated with the help of DVR. The DVR system is
controlled by SVM technique. The line voltage is sensed and it is converted
from three-phase into two-phase. From this, reference voltage and angle are
obtained. Based on this, PWM signals are generated. These signals are used to
control the DVR switches. The Figure 3.31 shows the control blocks. The
Figure 3.32 shows the model of DVR. Figure 3.33 shows the load voltage
with disturbance. Figure 3.34 and 3.35 show the RMS voltage and current
wave forms of the load. Figure 3.36 shows the FFT analysis for line voltage.
The THD is 1.39% which is very less compared to the THD values attained in
the previous simulation outputs of other PWM techniques, which is shown in
table 3.3. Thus the SVM is best method to reduce the harmonics in the output.
Figure 3.30 SVM based DVR system
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Figure 3.31 Block diagram of SVM control
Figure 3.32 DVR circuit with SVM control
50
Figure 3.33 Voltage waveforms of phase a, b and c with change in load
Figure 3.34 RMS value of voltage with change in load conditions
51
Figure 3.35 RMS value of current with change in load conditions
Figure 3.36 FFT analysis for voltage
52
3.5 CLOSED LOOP CONTROLLED DVR
To test the performance of DVR in a closed loop condition a closed
loop system is simulated and the performance of the DVR is studied. Figure
3.37 shows the closed loop controlled DVR system. It contains AC source,
load, DVR and feedback circuits. Line impedance is shown in series with the
source. Additional load is connected in series with the existing load to
produce voltage sag. When the load increases, the voltage sag occurs in the
load voltage. This voltage dip or sag is compensated using DVR. The
feedback circuit is used to sense the voltage sag. At the summing point, actual
value is compared with set value. This difference is given to PI controller.
The comparator produces PWM pulses for DVR switches. When the sag
increases, the error signal increases. This increases the output of PI controller.
It results in increase of pulse width which is given to the DVR. This increases
the RMS value of voltage to be injected by the DVR. Thus the load voltage is
regulated. Figure 3.38 shows the model of DVR. Figure 3.39 shows the load
voltage and current waveforms with change in load. The RMS voltage and
current waveforms of the load are shown in Figures 3.40 and 3.41
respectively. Figure 3.42 shows the FFT analysis for line voltage. From the
figures it can be seen that the voltage sag is compensated using closed loop
system.
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Figure 3.37 Closed loop system
Figure 3.38 Circuit of DVR
54
Figure 3.39 Voltage and current across load-1
Figure 3.40 RMS Voltage across the load
55
Figure 3.41 RMS current through the load
Figure 3.42 FFT Analysis for line voltage
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3.6 EXPERIMENTAL RESULTS
A 1 kW Laboratory model is fabricated and the hardware is tested.
The hardware consists of driver board, controller board and filter board.
Microcontroller based control circuit is shown in Figure 3.43. The pulses are
generated using the microcontroller Atmel 89c2051. Features and descriptions
of the same are given in appendix 2. The 12V DC supply required by IC
IR2110 is generated by using the regulator IC7812. The 5V DC supply
required by the microcontroller is fed by the IC 7805. Crystal and capacitors
are connected to the microcontroller as specified in the data sheet. Reset
switch is used to reset the microcontroller. These pulses are amplified to 12V
using the driver IC IR2110, the features of the same is described in appendix
4. The flow chart for the controller program is shown in Figure 3.44. The
corresponding delay subroutine is shown in Figure 3.45. The Assembly
language program is given in appendix-7. Top view of the hardware is shown
in Figure 3.46. Pulses from the microcontroller are shown in Figure 3.47. The
amplified pulses from the driver are shown in Figure 3.48. The output voltage
of inverter is shown in Figure 3.49. The harmonics are filtered using the LC
filter and the output after the LC filter is shown in Figure 3.50. The Figure
3.51 shows the AC input voltage. PWM technique is used to generate the
pulses required by rectifier and inverter. The advantage of PWM is that it
reduces lower order harmonics. The filter is required only for higher order
harmonics.
57
U3
IR2110
1
710
11
12
13
2
6
3
9
5
LO
HOHIN
SHDN
LIN
VSS
COM
VB
VCC
VDD
VS
47E-6
D1
1N4500
12
U2
L7805/TO220
1 2VIN VOUT
22E
12
22E
Y1
ZTB
M3
R10
1k
100E
M1
D2
1N4500
12
12
D4
1N4500
12
0
U1
L7812/TO3
1 2VIN VOUT
D5
1N4500
12
22E
SW1
SW PUSHBUTTON
47E-6
0
M2
22E
R1
1k
U5
IR2110
1
710
11
12
13
2
6
3
9
5
LO
HOHIN
SHDN
LIN
VSS
COM
VB
VCC
VDD
VS
V1
FREQ = 50HZ
VAMPL = 230V
100E
C5
33E-12
47E-6
C7
33E-12
47E-6
U4
AT89C2051
1
20
5
4
12
13
14
15
16
17
18
19
2
3
6
7
8
9
11
RST/VPP
VCC
XTAL1
XTAL2
P1.0/AIN0
P1.1/AIN1
P1.2
P1.3
P1.4
P1.5
P1.6
P1.7
P3.0/RXD
P3.1/TXD
P3.2/INT0
P3.3/INT1
P3.4/T0
P3.5/T1
P3.7
12V
M4
D3
LED
C1
1000E-6
C10
10E-6
5V
TX1
Figure 3.43 Microcontroller based control circuit
58
Figure 3.44 Main routine
MOVE DATA 55H TO PORT1
START
PORT INITIALIZATION
MOVE DATA 00 H TO PORT1
CALL DELAY-1
CALL DELAY-2
CALL DELAY-1
MOVE DATA 55H TO PORT1
MOVE DATA 55H TO PORT1
CALL DELAY-2
59
Figure 3.45 Delay subroutine
Delay
Move data to
Register R1
Decrement R1
Is R1 = 0
RET
Y
N
60
Figure 3.46 Top view of the hardware
Figure 3.47 Pulses from microcontroller
61
Figure 3.48 Amplified pulses from the driver IC IR2110
Figure 3.49 The output voltage of inverter without filter
62
Figure 3.50 The output voltage of inverter with LC filter
Figure 3.51 AC input voltage
63
3.7 CONCLUSION
In this chapter, a MATLAB Simulink model for two bus system
with DVR is developed. The DVR using the H-bridge inverter is simulated
using this model. The developed model is tested against R, RL, non-linear
loads and the results are presented. For all the load conditions DVR
successfully mitigated the voltage sags caused by the change in load
conditions. Single pulse PWM and Sine PWM techniques are applied for the
H-bridge based DVR with RL and non-linear loads. Comparison of THD
values obtained from the above simulation results are given in table 3.3. From
the table it is clear that, when sine PWM technique is used, THD value is
reduced by 21% for RL load and 44% for non-linear load. Then SVM based
DVR system is also modelled and simulated. This system has minimum value
of THD. The THD value is 1.4%. Since SVM technique has very less THD
compared to other PWM techniques it is a better suited one. Then a closed
loop controlled DVR system is also modelled and simulated. The simulation
results of closed loop system are presented. The corresponding results
indicate that the load voltage is maintained constant and also it is proved that,
DVRs can reduce the problem of harmonics caused by non-linear load
machinery. A 1 kW prototype model for H-bridge is implemented using an
embedded microcontroller. The results of hardware set-up are also presented.
But, still the three-level H-bridge inverter based DVR contains
considerable harmonics in the output. In order to reduce the harmonics
further, a nine-level converter is considered for the DVR system. The
investigation on nine-level inverter is presented in the next chapter.