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NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
1 | P a g e
POWER QUALITY IMPROVEMENT USING 5-LEVEL FLYING
CAPACITOR MULTILEVEL CONVERTER BASED DYNAMIC
VOLTAGE RESTORER FOR VARIOUS FAULTS
Mr. Suhas R. Patil
Electrical Engineering Department
Fabtech Technical Campus Sangola, Solapur, India
Prof. Shravankumar Akireddy
Electrical Engineering Department
Fabtech Technical Campus Sangola, Solapur, India
ABSTRACT
This paper present the use of five level flying capacitor multilevel converters based
dynamic voltage restorer (DVR) on power distribution system to decrease the power-
quality disturbances in distribution system, such as voltage imbalances, harmonic
voltages, and voltage sags. This DVR based five multilevel topology is suitable for
medium-voltage applications and operated by the control scheme based on the so called
repetitive control. The organization of this paper has been divided into three parts; the
first one eliminates the modulation high-frequency harmonics using filter increase the
transient response. The second one deal with the load voltage; and the third is flying
capacitors charged with balanced voltages. The MATLAB Simulation results are
presented to illustrate and understand the performances of DVR in supporting load
voltage.
INDEX TERMS -Dynamic voltage restorer (DVR), flying capacitor multilevel
converter, power quality (PQ), Total harmonic distortion (THD), repetitive control,
voltage sags ,Voltages swell.
INTRODUCTION
One of the major concerns in electricity industry today is power quality problems to
sensitive loads. The disturbances introduced by nonlinear loads and the rapid growth of
renewable energy sources. Majority of power quality problems also affect the end user.
The DVR is promising and effective device for power quality enhancement due to its
quick response and high reliability. [1]Multilevel converters based on DVR are the
most accepted topology in industry for medium voltage (MV) applications such as
medium voltage drive systems. Which allow high power-handling capability with lower
harmonic distortion and lower switching power losses than the two- level converter.
Recently, modular multilevel converters topology has been reported as an alternative to
conventional multilevel inverters in medium and high voltage applications. [2]-[3]It is
able to overcome most of difficulties of conventional multilevel inverter and provides
new set of features such as – Modular construction; it has fault management capability
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
2 | P a g e
and better fault ride through capability, with increased number of levels, it generates
high voltage with reduced voltage stress on switching device, and extremely low total
harmonic distortion. (THD)
The balancing of FC voltages is quite important and dictates both the safe and efficient
operation of the converter. There are three types of multilevel converter topologies
namely, the neutral point- clamped (NPC) converter, the flying capacitor (FC)
converter, and the cascaded converter with separate dc voltage sources (also called H-
bridge converter).[6]-[7]The FC converter has attracted a great deal of interest in recent
years mainly due to a number of advantageous features. For instance, it seems that the
extension of the converter to higher than three levels is possibly easier than the NPC
alternative in commercial applications. This paper focuses on the design of a closed-
loop control system for a DVR by using a five-level flying capacitor converter, based
on the so-called repetitive control.
CONFIGURATION OF THE DVR
A. FIVE LEVEL FC
Table 1. Switching states
Vo
Switching States
Sa1 Sa2 Sa3 Sa4
+ Vdc / 2 1 1 1 1
1 1 1 0
+ Vdc / 4
1 1 0 1
1 0 1 1
0 1 1 1
1 1 0 0
1 0 1 0
0
0 1 1 0
1 0 0 1
0 1 0 1
0 0 1 1
1 0 0 0
- Vdc / 4
0 1 0 0
0 0 1 0
0 0 0 1
- Vdc / 2 0 0 0 0
Fig.1. Phase-leg of five-level FC multilevel converter
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
3 | P a g e
The diode in the diode clamped topology can be replaced by clamping capacitors or
floating capacitors to clamp the voltage such topology is called flying capacitor
multilevel converter. They are called Flying Capacitor Multilevel Inverter, because the
capacitors float with respect to earth’s potential. [8] This topology is relative new as
compared to H-bridge converter and neutral point- clamped (NPC) converter. Fig.1.
shows that the Phase-leg of five-level FC multilevel converter and switching table. This
topology consists of diodes, capacitors and switching devices. Each leg consists of
switching devices which are generally transistors. Regarding the five-level topology
shown in Fig. 1 the flying capacitors C1 ,C2 and C3 are charged to, 3Vdc/4, Vdc/2, and
Vdc/4 respectively. Therefore, each switch must block only a voltage value equal to
Vdc/4 allowing the use of switches with lower-rated voltage compared with those in a
conventional two-level converter. There are several switching combinations for the
same given output voltage, which is known as switching redundancy [7].
A. DYNAMIC VOLTAGE RESTORER (DVR) CONNECTION SYSTEM:
Fig. 2. Basic scheme of the system configuration with the DVR.
DVR is a Custom Power Device used to eliminate supply side voltage disturbances.
DVR also known as Static Series Compensator maintains the load voltage at a desired
magnitude and phase by compensating the voltage Sags/swells and voltage unbalances
presented at the point of common coupling. [1]The DVR consists of a five-level flying-
capacitor voltage-source converter and energy storage which provides the necessary
voltage to the dc link. [8]The series connection of the DVR is achieved by means of a
coupling transformer. A passive LC filter has been used to filter out the high harmonics
generated by the PWM process.
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
4 | P a g e
Fig. 3. Equivalent circuit for the DVR connection system.
The equivalent circuit for the one-line system in Fig. 2 is depicted in Fig. 3, where VS
is the supply voltage, Zs models the line impedance, is is the current injected by the
supply, which splits at the PCC into the current flowing through the sensitive
equipment i and the current injected into the load ir . The voltage Vcc is the measured
voltage at the PCC, ‫ݑ‬ stands for the DVR voltage which has been modeled as an ideal
voltage source, the parameters R and L are the resistance and the leakage inductance,
respectively, of the coupling trans- former whereas Cf is the capacitor used together
with the coupling-transformer leakage inductance to filter out the high-frequency
harmonics. Finally, ‫ݑ‬c and ‫ݒ‬ are the voltages across the filter capacitor and the
measured voltage across the sensitive equipment, respectively.
The equation of the sensitive-equipment voltage v can be written as:
‫ݐݒ‬ = ‫ܿܿ݌ݒ‬ (‫)ݐ‬ + (‫)ݐ‬ ………………………………………................... (1)
With the following state-variable model for the coupling transformer and the capacitor
set:
ௗ
ௗ௧
൤
it ሺtሻ
ucሺtሻ
൨ =൦
ିோ
௅
ିଵ
௅
ଵ
஼௙
0 ൪ ൤
it ሺtሻ
ucሺtሻ
൨ + ൦
ଵ
௅
0
0 െ
ଵ
஼௙
൪ ൤
uሺtሻ
i ሺtሻ
൨…………………... (2)
Where the state variables are it (t) and uc (t), the control input is ut and it is a disturbance
input.
CONTROL SYSTEM AND MODULATION STRATEGY
A.REPETITIVE CONTROL
The repetitive control is a control scheme for single input single-output continuous
system to achieve high accuracy for tracking periodic reference, which was proposed by
Inoue etc. in the 1980’s. If the sinusoidal signal is superposed of one harmonic
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
5 | P a g e
frequency, one PR controller would be needed but if the signal is superposed of infinite
harmonic frequencies, infinite PR controller would be needed. Repetitive controller is
able to compensate all of harmonics only with a feedback of delay in its scheme
Repetitive Control is the control technique based on the internal model principle used
when you need to follow or rejects periodic signals. A repetitive control system usually
contains element shown below:
It is used specifically to handle periodic signals/operations; If properly designed, a
repetitive control system can track periodic reference and reject periodic disturbance
without steady-state error A method introduced in 1980s by a group of Japanese
scholars, now has been widely applied in many different engineering practices.
B.CONTROL SYSTEM FOR THE OUTPUT VOLTAGE OF THE LC FILTER
Fig. 4: Filter output voltage control scheme.
The structure of this control scheme can be seen in Fig. 4.System is a second-order
filter with natural frequency ωn= -1/ඥ‫݂ܥܮ‬and damping coefficient,ζ =R/2. ඥ‫ܮ/݂ܥ‬This
filter exhibits a large resonance since the resistance R usually has a very small value
and, therefore, the damping coefficient is also very small. To overcome this problem,
closed-loop control of the filter output voltage is required. A proportional state-
feedback controller plus a feed forward term are proposed for (2), with the following
structure:
u(t)= - ሾ‫݅ܭ‬ ‫ݑܭ‬ሿ ൤
it ሺtሻ
ucሺtሻ
൨ + uc*(t)+ h(i(t))……………………………..3
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
6 | P a g e
Where Ki and Ku i. e. K is the feedback-gain matrix, uc*(t) is the reference value, and
the feed forward term h(i(t)) is a function i(t) of which will be calculated to cancel out
the effect of the disturbance i(t) on the voltage uc(t).The gain matrix here has been
designed in order to obtain a
Second-order closed-loop system with natural frequency ωc=1/ඥ‫݂ܥܮ‬and damping
coefficient ζc=1 which means that the closed-loop system has two identical real poles
equal to S1,2=-1/ඥ‫݂ܥܮ‬and the time response will not exhibit any overshoot.
C. FLYING-CAPACITOR VOLTAGE CONTROL
In theory, the phase-shifted PWM method is able to balance the flying-capacitor
voltages. Nevertheless, in practical implementations, there may be factors, such as
asymmetrical conditions, different characteristic of power switches, etc, that produce
voltage imbalances in the flying capacitors. For that reason, a control scheme, which
guarantees the balance of the FC voltage, is required. Voltage control is based on a
closed-loop control scheme which corrects, for each switch, the modulating signal by
adding a square-wave in order to increase or decrease the capacitor voltages.
D. PHASE-SHIFTED PULSE WIDTH MODULATION
Several modulation methods have been used in multilevel converters according to the
switching frequency. In this paper, the well-known phase-shifted PWM method has
been used since its implementation is simple and provides a certain degree of flying-
capacitor voltage balance.[7]
MATLAB CIRCUIT AND SIMULATION
A.MATLAB CIRCUIT:Matlab circuit with 5 flying capacitor converter for power
quality improvement as shown in following figure.
Fig 5.: Matlab circuit with 5 flying capacitor converter
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
7 | P a g e
B.SIMULATION RESULTS:
The test system shown in Fig. 5 is used to carry out a comprehensive simulation
scenario where the multilevel DVR and its control system show their worth. The
following sequence of events is assumed to take place: 1) the nonlinear load is
connected at time t = 0s and the charging of the flying capacitors also starts at this point
in time, a process that is fully completed at time t = 0.6s; 2) At this point, the whole
control system is activated and the DVR is connected to the grid together with the
inductive-resistive load (sensitive load); 3) in the time period 0.7–1.1s, induction motor
1 is assumed to be connected with a constant rotor speed of 0.98 p.u.; 4) from t = 0.8s
to 1.1s, a two-phase-to-ground short-circuit fault is applied at the PCC via a 1.8-
resistor 5) the nonlinear load is disconnected at 1.3s and, at this point in time, a second
short-circuit fault applied at the PCC takes place; this time, there is a three-phase-to-
ground fault, with a duration of 200ms. The total simulation time is 1.6s.
Fig. 6. rms voltage. (a) Across the sensitive equipment. (b) At the PCC.
Fig. 6 (a) and (b) shows the rms voltages of phase A at the point where the sensitive
load is connected and at the PCC, respectively. The two-phase-to-ground short-circuit
fault produces a 30% voltage sag in the two affected phases in the time period 0.8–1.1
s. Also notice the minor voltage dip caused by induction motor 1 in the period 0.7–0.8
s. It is clear that in the period 0.8–1.1 s, the induction motor contributes to some minor
extent to the voltage sag but, by and large, the major contributor to the sag is the short-
circuit fault.Fig. 7 shows the unbalanced line-to-line voltages at the PCC: the three
voltage waveforms have different amplitudes and they also contain harmonic voltages
caused by the rectifier.
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
8 | P a g e
Fig. 7 Line-to-line voltages at the PCC in kilovolts (a) Vpccab , (b) Vpccbc, and (c)
Vpccca . (0.7<t<1.2)
Fig. 8 shows the line-to-line voltage at the PCC and across the sensitive load. Since the
fault is symmetrical, only one of the line-to-line voltages has been plotted for each case.
The rms value of the line-to-line voltage at the PCC is 7.7 kV (70% of its rated value)
with no voltage distortion.
Fig. 8: Line-to-line voltage at PCC ( 1.26s < t < 1.54 s)
CONCLUSION
In this paper DVR based on a five level flying-capacitor converter operated by a
repetitive-control scheme. This control structure simultaneously cancels out voltage
sags, voltage imbalances, and voltage harmonics other than high frequency switching
harmonics. The control system is split into three subsystems: the first one works to
eliminate the resonance peak of the filter used in the converter output voltage; while the
second one is the repetitive control, which ensures a fast transient response and zero-
tracking error in steady-state for any sinusoidal reference and for any sinusoidal
disturbance whose frequencies are an integer multiple of the fundamental frequency.
Finally, the third subsystem maintains constant, balanced voltages in the flying
capacitors. The control system, together with the DVR, has been implemented in
NOVATEUR PUBLICATIONS
INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT]
ISSN: 2394-3696
VOLUME 2, ISSUE 5, MAY-2015
9 | P a g e
MATLAB Comprehensive simulation results using an MV test system show the DVR’s
excellent performance and the control system in order to protect
sensitive equipment from PQ disturbances.
REFERENCES
[1] M. H. J. Bollen, Understanding Power Quality Problems: Voltage Sags and
Interruptions. Piscataway, NJ: IEEE Press, 2000.
[2] V. Immanuel and G. Yankanchi, “A waveform synthesis technique for voltage sag
compensation using dynamic voltage restorer (dvr),” in Proc.IEEE Power Eng. Soc.
General Meeting, Jun. 2006, pp. 1–7.
[3] N. G. Hingorani, “Introducing custom power,” IEEE Spectr., vol. 32, no. 6, pp. 41–
48, Jun. 1995.
[4] Z. Changjiang, A. Arulampalam, and N. Jenkins, “Four-wire dynamic voltage
restorer based on a three dimensional voltage space vector pwm algorithm,” IEEE
Trans. Power Electron., vol. 18, no. 4, pp. 1093–1102, Jul. 2003.
[5] L. Xu and V. G. Agelidis, “Flying capacitor multilevel pwm converter based upfc,”
Proc. Inst. Elect. Eng., Electr. Power Appl., vol. 149, no.4, pp. 304–310, Jul. 2002.
[6] E. Acha, V. G. Agelidis, O. Anaya, and T. J. E. Miller, Power Electronic Control in
Electrical Systems. Oxford, U.K.: Newnes, 2001.
[7] C. Feng, J. Liang, and V. G. Agelidis, “Modified phase-shifted pwm control for
flying capacitor multilevel converters,” IEEE Trans. Power Electron., vol. 22, no. 1,
pp. 178–185, Jan. 2007.
[8] Five Level Flying-Capacitor Multilevel Converter Using Dynamic Voltage Restorer
(DVR)- K. Ramakrishna Reddy & G. Koti Reddy
[9] J. Arrillaga, Y. H. Liu, and N. R.Watson, Flexible Power Transmission. The HVDC
Options. Chichester, U.K.: Wiley, 2007.
[10] A. Ghosh and G. Ledwich, Power Quality Enhancement Using Custom Power
Devices. Norwell, MA: Kluwer, 2002.
[11] J. Rodríguez, J.-S. Lai, and F. Z. Peng, “Multilevel inverters: A survey of
topologies, controls, and applications,” IEEE Trans. Ind. Electron., vol. 49, no. 4, pp.
724–738, Aug. 2002.

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POWER QUALITY IMPROVEMENT USING 5-LEVEL FLYING CAPACITOR MULTILEVEL CONVERTER BASED DYNAMIC VOLTAGE RESTORER FOR VARIOUS FAULTS

  • 1. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 1 | P a g e POWER QUALITY IMPROVEMENT USING 5-LEVEL FLYING CAPACITOR MULTILEVEL CONVERTER BASED DYNAMIC VOLTAGE RESTORER FOR VARIOUS FAULTS Mr. Suhas R. Patil Electrical Engineering Department Fabtech Technical Campus Sangola, Solapur, India Prof. Shravankumar Akireddy Electrical Engineering Department Fabtech Technical Campus Sangola, Solapur, India ABSTRACT This paper present the use of five level flying capacitor multilevel converters based dynamic voltage restorer (DVR) on power distribution system to decrease the power- quality disturbances in distribution system, such as voltage imbalances, harmonic voltages, and voltage sags. This DVR based five multilevel topology is suitable for medium-voltage applications and operated by the control scheme based on the so called repetitive control. The organization of this paper has been divided into three parts; the first one eliminates the modulation high-frequency harmonics using filter increase the transient response. The second one deal with the load voltage; and the third is flying capacitors charged with balanced voltages. The MATLAB Simulation results are presented to illustrate and understand the performances of DVR in supporting load voltage. INDEX TERMS -Dynamic voltage restorer (DVR), flying capacitor multilevel converter, power quality (PQ), Total harmonic distortion (THD), repetitive control, voltage sags ,Voltages swell. INTRODUCTION One of the major concerns in electricity industry today is power quality problems to sensitive loads. The disturbances introduced by nonlinear loads and the rapid growth of renewable energy sources. Majority of power quality problems also affect the end user. The DVR is promising and effective device for power quality enhancement due to its quick response and high reliability. [1]Multilevel converters based on DVR are the most accepted topology in industry for medium voltage (MV) applications such as medium voltage drive systems. Which allow high power-handling capability with lower harmonic distortion and lower switching power losses than the two- level converter. Recently, modular multilevel converters topology has been reported as an alternative to conventional multilevel inverters in medium and high voltage applications. [2]-[3]It is able to overcome most of difficulties of conventional multilevel inverter and provides new set of features such as – Modular construction; it has fault management capability
  • 2. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 2 | P a g e and better fault ride through capability, with increased number of levels, it generates high voltage with reduced voltage stress on switching device, and extremely low total harmonic distortion. (THD) The balancing of FC voltages is quite important and dictates both the safe and efficient operation of the converter. There are three types of multilevel converter topologies namely, the neutral point- clamped (NPC) converter, the flying capacitor (FC) converter, and the cascaded converter with separate dc voltage sources (also called H- bridge converter).[6]-[7]The FC converter has attracted a great deal of interest in recent years mainly due to a number of advantageous features. For instance, it seems that the extension of the converter to higher than three levels is possibly easier than the NPC alternative in commercial applications. This paper focuses on the design of a closed- loop control system for a DVR by using a five-level flying capacitor converter, based on the so-called repetitive control. CONFIGURATION OF THE DVR A. FIVE LEVEL FC Table 1. Switching states Vo Switching States Sa1 Sa2 Sa3 Sa4 + Vdc / 2 1 1 1 1 1 1 1 0 + Vdc / 4 1 1 0 1 1 0 1 1 0 1 1 1 1 1 0 0 1 0 1 0 0 0 1 1 0 1 0 0 1 0 1 0 1 0 0 1 1 1 0 0 0 - Vdc / 4 0 1 0 0 0 0 1 0 0 0 0 1 - Vdc / 2 0 0 0 0 Fig.1. Phase-leg of five-level FC multilevel converter
  • 3. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 3 | P a g e The diode in the diode clamped topology can be replaced by clamping capacitors or floating capacitors to clamp the voltage such topology is called flying capacitor multilevel converter. They are called Flying Capacitor Multilevel Inverter, because the capacitors float with respect to earth’s potential. [8] This topology is relative new as compared to H-bridge converter and neutral point- clamped (NPC) converter. Fig.1. shows that the Phase-leg of five-level FC multilevel converter and switching table. This topology consists of diodes, capacitors and switching devices. Each leg consists of switching devices which are generally transistors. Regarding the five-level topology shown in Fig. 1 the flying capacitors C1 ,C2 and C3 are charged to, 3Vdc/4, Vdc/2, and Vdc/4 respectively. Therefore, each switch must block only a voltage value equal to Vdc/4 allowing the use of switches with lower-rated voltage compared with those in a conventional two-level converter. There are several switching combinations for the same given output voltage, which is known as switching redundancy [7]. A. DYNAMIC VOLTAGE RESTORER (DVR) CONNECTION SYSTEM: Fig. 2. Basic scheme of the system configuration with the DVR. DVR is a Custom Power Device used to eliminate supply side voltage disturbances. DVR also known as Static Series Compensator maintains the load voltage at a desired magnitude and phase by compensating the voltage Sags/swells and voltage unbalances presented at the point of common coupling. [1]The DVR consists of a five-level flying- capacitor voltage-source converter and energy storage which provides the necessary voltage to the dc link. [8]The series connection of the DVR is achieved by means of a coupling transformer. A passive LC filter has been used to filter out the high harmonics generated by the PWM process.
  • 4. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 4 | P a g e Fig. 3. Equivalent circuit for the DVR connection system. The equivalent circuit for the one-line system in Fig. 2 is depicted in Fig. 3, where VS is the supply voltage, Zs models the line impedance, is is the current injected by the supply, which splits at the PCC into the current flowing through the sensitive equipment i and the current injected into the load ir . The voltage Vcc is the measured voltage at the PCC, ‫ݑ‬ stands for the DVR voltage which has been modeled as an ideal voltage source, the parameters R and L are the resistance and the leakage inductance, respectively, of the coupling trans- former whereas Cf is the capacitor used together with the coupling-transformer leakage inductance to filter out the high-frequency harmonics. Finally, ‫ݑ‬c and ‫ݒ‬ are the voltages across the filter capacitor and the measured voltage across the sensitive equipment, respectively. The equation of the sensitive-equipment voltage v can be written as: ‫ݐݒ‬ = ‫ܿܿ݌ݒ‬ (‫)ݐ‬ + (‫)ݐ‬ ………………………………………................... (1) With the following state-variable model for the coupling transformer and the capacitor set: ௗ ௗ௧ ൤ it ሺtሻ ucሺtሻ ൨ =൦ ିோ ௅ ିଵ ௅ ଵ ஼௙ 0 ൪ ൤ it ሺtሻ ucሺtሻ ൨ + ൦ ଵ ௅ 0 0 െ ଵ ஼௙ ൪ ൤ uሺtሻ i ሺtሻ ൨…………………... (2) Where the state variables are it (t) and uc (t), the control input is ut and it is a disturbance input. CONTROL SYSTEM AND MODULATION STRATEGY A.REPETITIVE CONTROL The repetitive control is a control scheme for single input single-output continuous system to achieve high accuracy for tracking periodic reference, which was proposed by Inoue etc. in the 1980’s. If the sinusoidal signal is superposed of one harmonic
  • 5. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 5 | P a g e frequency, one PR controller would be needed but if the signal is superposed of infinite harmonic frequencies, infinite PR controller would be needed. Repetitive controller is able to compensate all of harmonics only with a feedback of delay in its scheme Repetitive Control is the control technique based on the internal model principle used when you need to follow or rejects periodic signals. A repetitive control system usually contains element shown below: It is used specifically to handle periodic signals/operations; If properly designed, a repetitive control system can track periodic reference and reject periodic disturbance without steady-state error A method introduced in 1980s by a group of Japanese scholars, now has been widely applied in many different engineering practices. B.CONTROL SYSTEM FOR THE OUTPUT VOLTAGE OF THE LC FILTER Fig. 4: Filter output voltage control scheme. The structure of this control scheme can be seen in Fig. 4.System is a second-order filter with natural frequency ωn= -1/ඥ‫݂ܥܮ‬and damping coefficient,ζ =R/2. ඥ‫ܮ/݂ܥ‬This filter exhibits a large resonance since the resistance R usually has a very small value and, therefore, the damping coefficient is also very small. To overcome this problem, closed-loop control of the filter output voltage is required. A proportional state- feedback controller plus a feed forward term are proposed for (2), with the following structure: u(t)= - ሾ‫݅ܭ‬ ‫ݑܭ‬ሿ ൤ it ሺtሻ ucሺtሻ ൨ + uc*(t)+ h(i(t))……………………………..3
  • 6. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 6 | P a g e Where Ki and Ku i. e. K is the feedback-gain matrix, uc*(t) is the reference value, and the feed forward term h(i(t)) is a function i(t) of which will be calculated to cancel out the effect of the disturbance i(t) on the voltage uc(t).The gain matrix here has been designed in order to obtain a Second-order closed-loop system with natural frequency ωc=1/ඥ‫݂ܥܮ‬and damping coefficient ζc=1 which means that the closed-loop system has two identical real poles equal to S1,2=-1/ඥ‫݂ܥܮ‬and the time response will not exhibit any overshoot. C. FLYING-CAPACITOR VOLTAGE CONTROL In theory, the phase-shifted PWM method is able to balance the flying-capacitor voltages. Nevertheless, in practical implementations, there may be factors, such as asymmetrical conditions, different characteristic of power switches, etc, that produce voltage imbalances in the flying capacitors. For that reason, a control scheme, which guarantees the balance of the FC voltage, is required. Voltage control is based on a closed-loop control scheme which corrects, for each switch, the modulating signal by adding a square-wave in order to increase or decrease the capacitor voltages. D. PHASE-SHIFTED PULSE WIDTH MODULATION Several modulation methods have been used in multilevel converters according to the switching frequency. In this paper, the well-known phase-shifted PWM method has been used since its implementation is simple and provides a certain degree of flying- capacitor voltage balance.[7] MATLAB CIRCUIT AND SIMULATION A.MATLAB CIRCUIT:Matlab circuit with 5 flying capacitor converter for power quality improvement as shown in following figure. Fig 5.: Matlab circuit with 5 flying capacitor converter
  • 7. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 7 | P a g e B.SIMULATION RESULTS: The test system shown in Fig. 5 is used to carry out a comprehensive simulation scenario where the multilevel DVR and its control system show their worth. The following sequence of events is assumed to take place: 1) the nonlinear load is connected at time t = 0s and the charging of the flying capacitors also starts at this point in time, a process that is fully completed at time t = 0.6s; 2) At this point, the whole control system is activated and the DVR is connected to the grid together with the inductive-resistive load (sensitive load); 3) in the time period 0.7–1.1s, induction motor 1 is assumed to be connected with a constant rotor speed of 0.98 p.u.; 4) from t = 0.8s to 1.1s, a two-phase-to-ground short-circuit fault is applied at the PCC via a 1.8- resistor 5) the nonlinear load is disconnected at 1.3s and, at this point in time, a second short-circuit fault applied at the PCC takes place; this time, there is a three-phase-to- ground fault, with a duration of 200ms. The total simulation time is 1.6s. Fig. 6. rms voltage. (a) Across the sensitive equipment. (b) At the PCC. Fig. 6 (a) and (b) shows the rms voltages of phase A at the point where the sensitive load is connected and at the PCC, respectively. The two-phase-to-ground short-circuit fault produces a 30% voltage sag in the two affected phases in the time period 0.8–1.1 s. Also notice the minor voltage dip caused by induction motor 1 in the period 0.7–0.8 s. It is clear that in the period 0.8–1.1 s, the induction motor contributes to some minor extent to the voltage sag but, by and large, the major contributor to the sag is the short- circuit fault.Fig. 7 shows the unbalanced line-to-line voltages at the PCC: the three voltage waveforms have different amplitudes and they also contain harmonic voltages caused by the rectifier.
  • 8. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 8 | P a g e Fig. 7 Line-to-line voltages at the PCC in kilovolts (a) Vpccab , (b) Vpccbc, and (c) Vpccca . (0.7<t<1.2) Fig. 8 shows the line-to-line voltage at the PCC and across the sensitive load. Since the fault is symmetrical, only one of the line-to-line voltages has been plotted for each case. The rms value of the line-to-line voltage at the PCC is 7.7 kV (70% of its rated value) with no voltage distortion. Fig. 8: Line-to-line voltage at PCC ( 1.26s < t < 1.54 s) CONCLUSION In this paper DVR based on a five level flying-capacitor converter operated by a repetitive-control scheme. This control structure simultaneously cancels out voltage sags, voltage imbalances, and voltage harmonics other than high frequency switching harmonics. The control system is split into three subsystems: the first one works to eliminate the resonance peak of the filter used in the converter output voltage; while the second one is the repetitive control, which ensures a fast transient response and zero- tracking error in steady-state for any sinusoidal reference and for any sinusoidal disturbance whose frequencies are an integer multiple of the fundamental frequency. Finally, the third subsystem maintains constant, balanced voltages in the flying capacitors. The control system, together with the DVR, has been implemented in
  • 9. NOVATEUR PUBLICATIONS INTERNATIONAL JOURNAL OF INNOVATIONS IN ENGINEERING RESEARCH AND TECHNOLOGY [IJIERT] ISSN: 2394-3696 VOLUME 2, ISSUE 5, MAY-2015 9 | P a g e MATLAB Comprehensive simulation results using an MV test system show the DVR’s excellent performance and the control system in order to protect sensitive equipment from PQ disturbances. REFERENCES [1] M. H. J. Bollen, Understanding Power Quality Problems: Voltage Sags and Interruptions. Piscataway, NJ: IEEE Press, 2000. [2] V. Immanuel and G. Yankanchi, “A waveform synthesis technique for voltage sag compensation using dynamic voltage restorer (dvr),” in Proc.IEEE Power Eng. Soc. General Meeting, Jun. 2006, pp. 1–7. [3] N. G. Hingorani, “Introducing custom power,” IEEE Spectr., vol. 32, no. 6, pp. 41– 48, Jun. 1995. [4] Z. Changjiang, A. Arulampalam, and N. Jenkins, “Four-wire dynamic voltage restorer based on a three dimensional voltage space vector pwm algorithm,” IEEE Trans. Power Electron., vol. 18, no. 4, pp. 1093–1102, Jul. 2003. [5] L. Xu and V. G. Agelidis, “Flying capacitor multilevel pwm converter based upfc,” Proc. Inst. Elect. Eng., Electr. Power Appl., vol. 149, no.4, pp. 304–310, Jul. 2002. [6] E. Acha, V. G. Agelidis, O. Anaya, and T. J. E. Miller, Power Electronic Control in Electrical Systems. Oxford, U.K.: Newnes, 2001. [7] C. Feng, J. Liang, and V. G. Agelidis, “Modified phase-shifted pwm control for flying capacitor multilevel converters,” IEEE Trans. Power Electron., vol. 22, no. 1, pp. 178–185, Jan. 2007. [8] Five Level Flying-Capacitor Multilevel Converter Using Dynamic Voltage Restorer (DVR)- K. Ramakrishna Reddy & G. Koti Reddy [9] J. Arrillaga, Y. H. Liu, and N. R.Watson, Flexible Power Transmission. The HVDC Options. Chichester, U.K.: Wiley, 2007. [10] A. Ghosh and G. Ledwich, Power Quality Enhancement Using Custom Power Devices. Norwell, MA: Kluwer, 2002. [11] J. Rodríguez, J.-S. Lai, and F. Z. Peng, “Multilevel inverters: A survey of topologies, controls, and applications,” IEEE Trans. Ind. Electron., vol. 49, no. 4, pp. 724–738, Aug. 2002.