[SOLVED] Power Electronic Converters and Systems
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AI Summary
This assignment provides a comprehensive list of references on power electronic converters and systems, including books, papers, and articles. It covers various topics such as control strategies, multilevel converters, and grid-connected photovoltaic power conversion systems. The references are organized in a format similar to a past paper or solved assignment, with each reference being a separate question. The assignment is likely from an engineering or physics course at a university and requires students to understand and apply the concepts of power electronic converters and systems.
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PERMANENT MAGNET WIND TURBINE GENERATOR
Student’s Name
Institution
City, Date
PERMANENT MAGNET WIND TURBINE GENERATOR
Student’s Name
Institution
City, Date
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Abstract
This article talks about system of control, modelling and analysing the permanent magnet
generator wind turbine based attached to the grind, converting energy wind by use of Buck-
Boost converter for permanent magnet synchronous generator in relation to the speed variable,
wind energy conversion system has been preferred whereby it is integrated by use of the five-
level diode-clamped multilevel converter with the grind. Converters that are highly efficient are
important for systems of energy that can be renewed particularly, those connected with grind
applications of wind. The adoption of systems of renewing energy for electric power sources
generation is getting relevance so as to minimize pollution of the environment and global
warming additionally, achieving the power escalating by consumer demand. Generation of
power from wind generally, either uses turbines of variable speed or speed which is fixed and the
major converters and generators configurations are applied in the connected grind variable wind
power system are [1]. The goal is to achieve a system that is highly efficient, simple,
maintenance free and robust where the five-level diode-clamped multilevel that was proposed
had in 3 stages of the system of wind energy being applied of which the outcome was several
benefits that were promising. It is important to understand the systems of power, applications and
machines of electronic power converters and schemes of control together put on a platform that
is common.
Abstract
This article talks about system of control, modelling and analysing the permanent magnet
generator wind turbine based attached to the grind, converting energy wind by use of Buck-
Boost converter for permanent magnet synchronous generator in relation to the speed variable,
wind energy conversion system has been preferred whereby it is integrated by use of the five-
level diode-clamped multilevel converter with the grind. Converters that are highly efficient are
important for systems of energy that can be renewed particularly, those connected with grind
applications of wind. The adoption of systems of renewing energy for electric power sources
generation is getting relevance so as to minimize pollution of the environment and global
warming additionally, achieving the power escalating by consumer demand. Generation of
power from wind generally, either uses turbines of variable speed or speed which is fixed and the
major converters and generators configurations are applied in the connected grind variable wind
power system are [1]. The goal is to achieve a system that is highly efficient, simple,
maintenance free and robust where the five-level diode-clamped multilevel that was proposed
had in 3 stages of the system of wind energy being applied of which the outcome was several
benefits that were promising. It is important to understand the systems of power, applications and
machines of electronic power converters and schemes of control together put on a platform that
is common.
3
Contents
1. Introduction.........................................................................................................................................4
2. Literature Review................................................................................................................................5
2.1. Synchronous generators run by a turbine with a fixed speed...........................................................5
2.2. Modelling Systems of Wind Turbine-Generators............................................................................9
2.3. Systems of Wind Turbine-Generator Control Strategies................................................................12
2.4. Topologies of Power Converters in Systems of Wind Turbine Generators....................................14
3. RESEARCH DESIGN.......................................................................................................................18
4. Result and Analysis...........................................................................................................................21
5. Conclusion.........................................................................................................................................25
References.................................................................................................................................................27
Contents
1. Introduction.........................................................................................................................................4
2. Literature Review................................................................................................................................5
2.1. Synchronous generators run by a turbine with a fixed speed...........................................................5
2.2. Modelling Systems of Wind Turbine-Generators............................................................................9
2.3. Systems of Wind Turbine-Generator Control Strategies................................................................12
2.4. Topologies of Power Converters in Systems of Wind Turbine Generators....................................14
3. RESEARCH DESIGN.......................................................................................................................18
4. Result and Analysis...........................................................................................................................21
5. Conclusion.........................................................................................................................................25
References.................................................................................................................................................27
4
1. Introduction
The power used on a large scale is electricity as an energy source in places of work, homes and
industries hence the growth of industries and population have significantly caused the increase in
consumption of power for over 3 years that have past. Resources that are natural such as coal,
gas and petroleum which runs plants, vehicles and industries for many years are depleting at a
rate that is fast, and this has led to countries all over the world to come up with alternative
sources of energy to that conserve the natural resources which are inexhaustible. Stable
advancements in technology invented over fifteen years ago have impacted wind plants and more
of this developments has been done in the components in the relation of integration of wind,
converters of power, the capability to control and machines that are electrical [2].
Long gone are machines that simply inducted with a start that is soft because there is an
enhancement of real and power reactivated machines power output limit and speed and voltage
control. A lot of research has been conducted worldwide on this aspect and developments on the
technology that gives a capability deal that is great thus a variety of reasons for applying wind
turbine with variable speed;
Much power is generated from the generator with variable speed as compared to other
counterparts with speed that is constant systems.
Availability of simplified control of pitch with costs that are feasible.
The compensator of power that is reactive and omission of starter soft system due to the
existence of electronic power devices.
Minimized pulsation of torque improves the quality of power by power variation
elimination and minimizing flickers.
1. Introduction
The power used on a large scale is electricity as an energy source in places of work, homes and
industries hence the growth of industries and population have significantly caused the increase in
consumption of power for over 3 years that have past. Resources that are natural such as coal,
gas and petroleum which runs plants, vehicles and industries for many years are depleting at a
rate that is fast, and this has led to countries all over the world to come up with alternative
sources of energy to that conserve the natural resources which are inexhaustible. Stable
advancements in technology invented over fifteen years ago have impacted wind plants and more
of this developments has been done in the components in the relation of integration of wind,
converters of power, the capability to control and machines that are electrical [2].
Long gone are machines that simply inducted with a start that is soft because there is an
enhancement of real and power reactivated machines power output limit and speed and voltage
control. A lot of research has been conducted worldwide on this aspect and developments on the
technology that gives a capability deal that is great thus a variety of reasons for applying wind
turbine with variable speed;
Much power is generated from the generator with variable speed as compared to other
counterparts with speed that is constant systems.
Availability of simplified control of pitch with costs that are feasible.
The compensator of power that is reactive and omission of starter soft system due to the
existence of electronic power devices.
Minimized pulsation of torque improves the quality of power by power variation
elimination and minimizing flickers.
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Reduced stresses that are mechanical by minimizing and absorbing pulsations in torque
variable speed.
The reduced noise that is acoustic by working in wind gusts that are at a speed that is
lower
Deployment of power point systems of tracking that efficiently improve systems of
variable speed.
2. Literature Review
2.1. Synchronous generators run by a turbine with a fixed speed
Usually, a synchronous generator comprises stator carrying a set of windings that are in 3 phases
which distributes the load that is external and a rotor that also produces a field source that is
magnetic. The rotor is either supplied from current which is flowing directly from the field
wound or permanent magnetic [3].
a. Permanent Magnet Synchronous Generator run by wind turbine
Several schemes configuration using a magnet that for purposes of generating power using a
permanent magnet synchronous generator had been adopted whereby, a permanent magnet
synchronous generator was in one of them connected to a rectifier with 3 phases then by
converter being boosted, the converter boost controls the torque which is electromagnetic. The
side supply converter controls DC voltage link together with the power input factor, one
disadvantage of the configuration is that the diode rectifier usage which increases the amplitude
of current also destroys the permanent magnet synchronous generator. Therefore the
configuration has been preferred for a system of wind power that is small in size approximately
Reduced stresses that are mechanical by minimizing and absorbing pulsations in torque
variable speed.
The reduced noise that is acoustic by working in wind gusts that are at a speed that is
lower
Deployment of power point systems of tracking that efficiently improve systems of
variable speed.
2. Literature Review
2.1. Synchronous generators run by a turbine with a fixed speed
Usually, a synchronous generator comprises stator carrying a set of windings that are in 3 phases
which distributes the load that is external and a rotor that also produces a field source that is
magnetic. The rotor is either supplied from current which is flowing directly from the field
wound or permanent magnetic [3].
a. Permanent Magnet Synchronous Generator run by wind turbine
Several schemes configuration using a magnet that for purposes of generating power using a
permanent magnet synchronous generator had been adopted whereby, a permanent magnet
synchronous generator was in one of them connected to a rectifier with 3 phases then by
converter being boosted, the converter boost controls the torque which is electromagnetic. The
side supply converter controls DC voltage link together with the power input factor, one
disadvantage of the configuration is that the diode rectifier usage which increases the amplitude
of current also destroys the permanent magnet synchronous generator. Therefore the
configuration has been preferred for a system of wind power that is small in size approximately
6
smaller than 50KW whereas in other schemes that use a permanent magnet synchronous
generator the rectifier PWM is in between the link DC and the generator placed and another
PWM converter connected to the network [4].
The importance of this system in relation to the usage of field-orientation control, is that the
generator is allowed to operate almost to the working point that is optimal so as to lower losses
in the electronic power circuit and the generator, however, performance relies on the knowledge
that is good on the parameter of the generator which changes with frequency and temperature.
The main disadvantage of the permanent magnet synchronous generator is that it’s cost increases
in price which also affects machine and demagnetizing of the material that is permanently
magnetic which makes it difficult to control the machine’s factor of power.
b. Wound field synchronous generator driven by a wind turbine
The winding stator is connected to the network by a converter of power which is a four-quadrant
and consists of two sinusoidal PWM that is back to back while the converter side machine
controls the torque electromagnetic and the side grid converter controls the reactive and real
power the WPS delivers to the utility. Advantages of the wound field synchronous generator are
high efficiency as it wholly involves the stator current for production of torque electromagnetic
however the main advantage of adopting wound field synchronous generator with a pole that is
salient, it enables direct regulation of the machine power factor thereby also minimizing the
current stator at any operational conditions. The presence of a circuit in winding in the rotor is a
setback than with a permanent magnet synchronous generator additionally, for reactive and
active generated power to be regulated, the converter must be typically sized 1.2 of the WPS
power that is rated [3].
smaller than 50KW whereas in other schemes that use a permanent magnet synchronous
generator the rectifier PWM is in between the link DC and the generator placed and another
PWM converter connected to the network [4].
The importance of this system in relation to the usage of field-orientation control, is that the
generator is allowed to operate almost to the working point that is optimal so as to lower losses
in the electronic power circuit and the generator, however, performance relies on the knowledge
that is good on the parameter of the generator which changes with frequency and temperature.
The main disadvantage of the permanent magnet synchronous generator is that it’s cost increases
in price which also affects machine and demagnetizing of the material that is permanently
magnetic which makes it difficult to control the machine’s factor of power.
b. Wound field synchronous generator driven by a wind turbine
The winding stator is connected to the network by a converter of power which is a four-quadrant
and consists of two sinusoidal PWM that is back to back while the converter side machine
controls the torque electromagnetic and the side grid converter controls the reactive and real
power the WPS delivers to the utility. Advantages of the wound field synchronous generator are
high efficiency as it wholly involves the stator current for production of torque electromagnetic
however the main advantage of adopting wound field synchronous generator with a pole that is
salient, it enables direct regulation of the machine power factor thereby also minimizing the
current stator at any operational conditions. The presence of a circuit in winding in the rotor is a
setback than with a permanent magnet synchronous generator additionally, for reactive and
active generated power to be regulated, the converter must be typically sized 1.2 of the WPS
power that is rated [3].
7
Induction generators are driven by a variable speed turbine
The AC type of generator which has been used often is the induction generator in wind turbines
and there are two types of induction generator that are used in wind turbines these are; wound
rotor and squirrel-cage
a. Squirrel-cage induction generator run by a wind turbine
The squirrel-cage induction generator that has 3 phases is implemented usually in the standalone
system of power that develops resources of energy that are renewable such as; wind energy and
hydropower as result of the benefits they possess over the synchronous generators which are
conventional. However major advantages of are as follows; no separate source for DC excitation,
minimized the cost of unit, ruggedness, maintenance ease and rotor construction that is brushless.
The operation of an induction machine with 3 phases can be by an induction generator self –
excitement upon the external driving of the rotor at a speed which is suitable and the 3 phase
bank capacitor of value that is sufficient is across connected to the terminal of the stator. The
winding stator is the system generation connected to the grid by means converter power with 4
quadrant consisting of two pulse with modulation VSI that by back to back connects via voltage
DC link [5].
The side stator converter system of control controls the electromagnetic torque and distributes
the power that is reactive to maintain the magnetization of the machine. The supply side
converter controls the reactive and the reactive power produced to the utility from the system and
the DC link regulation however the applications of the squirrel cage induction generators have
some disadvantages which include; the complexity in controlling the system whereby
performance depends on proper knowledge of parameter of the generator that changes with the
Induction generators are driven by a variable speed turbine
The AC type of generator which has been used often is the induction generator in wind turbines
and there are two types of induction generator that are used in wind turbines these are; wound
rotor and squirrel-cage
a. Squirrel-cage induction generator run by a wind turbine
The squirrel-cage induction generator that has 3 phases is implemented usually in the standalone
system of power that develops resources of energy that are renewable such as; wind energy and
hydropower as result of the benefits they possess over the synchronous generators which are
conventional. However major advantages of are as follows; no separate source for DC excitation,
minimized the cost of unit, ruggedness, maintenance ease and rotor construction that is brushless.
The operation of an induction machine with 3 phases can be by an induction generator self –
excitement upon the external driving of the rotor at a speed which is suitable and the 3 phase
bank capacitor of value that is sufficient is across connected to the terminal of the stator. The
winding stator is the system generation connected to the grid by means converter power with 4
quadrant consisting of two pulse with modulation VSI that by back to back connects via voltage
DC link [5].
The side stator converter system of control controls the electromagnetic torque and distributes
the power that is reactive to maintain the magnetization of the machine. The supply side
converter controls the reactive and the reactive power produced to the utility from the system and
the DC link regulation however the applications of the squirrel cage induction generators have
some disadvantages which include; the complexity in controlling the system whereby
performance depends on proper knowledge of parameter of the generator that changes with the
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saturation of the magnet, frequency and temperature. The side stator converter is important to be
sized over 30- 50% in regards to the power rated so as to supply requirements for magnetizing
the machine.
b. Double fed induction generator is driven by a wind turbine
The wind system of power in the figure below comprises of a doubly fed induction generator
where the winding stator is connected directly to the network and the winding rotor to the
network also connected via four quadrant converter of power consisting of two back to back
sinusoidal pulse with modulation and the side thyristor converter may as well be used though, the
performance is limited. The rotor side converter controller usually, controls the electromagnetic
torque and distributes part of the power which is reactive for maintenance of the machine
magnetization alternatively, the grid side converter’s controller controls the voltage of the DC
link [5].
[5]
Above: Squirrel cage induction generator wind driven turbine
[5]
Above; doubly fed induction
generator wind driven turbine
saturation of the magnet, frequency and temperature. The side stator converter is important to be
sized over 30- 50% in regards to the power rated so as to supply requirements for magnetizing
the machine.
b. Double fed induction generator is driven by a wind turbine
The wind system of power in the figure below comprises of a doubly fed induction generator
where the winding stator is connected directly to the network and the winding rotor to the
network also connected via four quadrant converter of power consisting of two back to back
sinusoidal pulse with modulation and the side thyristor converter may as well be used though, the
performance is limited. The rotor side converter controller usually, controls the electromagnetic
torque and distributes part of the power which is reactive for maintenance of the machine
magnetization alternatively, the grid side converter’s controller controls the voltage of the DC
link [5].
[5]
Above: Squirrel cage induction generator wind driven turbine
[5]
Above; doubly fed induction
generator wind driven turbine
9
Advantages of the doubly fed inducted generator as compared to the synchronous generator are
as follows;
Lower costs of the converter filter as filters rated 0.25 per unit total power system and
converter harmonics stands for a fraction that is smaller of the total harmonics system
Minimal costs of converter due to rating of converter typically 25% of the total power
system which is due to the converters only require to regulate rotor’s slip power.
The response that is stable and robustness of the machine undergoing disturbances that
are external
2.2. Modelling Systems of Wind Turbine-Generators
The modelling of wind turbine-generators includes aerodynamic modelling, DFIG modelling,
modelling of drivetrain systems and modelling of power converters. Therefore, this
documentation puts its focus on modelling such as system [5].
a) Aerodynamic modelling
In [1]there is a deduction of the highest possible energy to be gotten from systems of wind
turbines from the air system from conditions that are ideal. In [2]the source derives the existing
relationship the speed of passing wind and mechanical power input through the rotor plane
turbine. This was able to be expressed in the turbine’s power coefficient. There exists three
commonly used simulation methods for obtaining the coefficients of power which are provided
by the manufacturer of the wind turbine. The two methods that come first are found in [3]while
the third method is known as the lookup table method provided in [4]
b) Drive Train Modelling
Advantages of the doubly fed inducted generator as compared to the synchronous generator are
as follows;
Lower costs of the converter filter as filters rated 0.25 per unit total power system and
converter harmonics stands for a fraction that is smaller of the total harmonics system
Minimal costs of converter due to rating of converter typically 25% of the total power
system which is due to the converters only require to regulate rotor’s slip power.
The response that is stable and robustness of the machine undergoing disturbances that
are external
2.2. Modelling Systems of Wind Turbine-Generators
The modelling of wind turbine-generators includes aerodynamic modelling, DFIG modelling,
modelling of drivetrain systems and modelling of power converters. Therefore, this
documentation puts its focus on modelling such as system [5].
a) Aerodynamic modelling
In [1]there is a deduction of the highest possible energy to be gotten from systems of wind
turbines from the air system from conditions that are ideal. In [2]the source derives the existing
relationship the speed of passing wind and mechanical power input through the rotor plane
turbine. This was able to be expressed in the turbine’s power coefficient. There exists three
commonly used simulation methods for obtaining the coefficients of power which are provided
by the manufacturer of the wind turbine. The two methods that come first are found in [3]while
the third method is known as the lookup table method provided in [4]
b) Drive Train Modelling
10
In the modelling of drain train systems, the reference [5]detailed an explanation of reduced mass
conversion method with a comparison of the six-mass model having the reduced mass models
suitable for analyzing transient stability. In [6]the source uses six-mass drive drain modelling in
the analysis of transient processes in the instance of faults as well as other disturbances. In
[7]three drive train models were different were used as well as different topologies of the power
electronic converters which were used in harmonic assessment study. Reference, [8]had a
comparison of the transient stabilities in the three-mass modelling, two-mass modelling and the
one –mass modelling. To add on this, various effects of bending flexibilities, hub inertias and
blade on the stability transients in large wind turbines were analyzed. [9]researched on the three-
mass modelling that took into account the blade flexibility and shaft flexibly in the structural
dynamics. This design was produced and used in deriving a two-mass model. In [10]the source
concludes that the model having two-mass drive train was adequate for analyzing the transient
stability in the systems of wind turbine-generators. In addition, two-mass modelling is mostly
used in [11]Other sources such as [12]and [13]focused their study on generator modelling a
control whose drive train system simply had been expressed by a single mas model.
c) DFIG Modelling
There are four categories to classify the Doubly Fed Induction machines. The types include the
cascaded doubly-Fed induction machine, standard Doubly-Fed induction machine, brushless
Doubly-Fed induction machine single-frame cascaded Doubly-Fed induction machine. On the
other hand, only the brushless type and the standard type Doubly-Fed induction machines are
applicable in systems of wind turbine-generators. In [14]there is a development of brushless
Doubly-Fed induction generator with the employment of 2 cascaded induction machinery that
did not make use of copper rings and brushes but used flux-oriented closed loop control scheme
In the modelling of drain train systems, the reference [5]detailed an explanation of reduced mass
conversion method with a comparison of the six-mass model having the reduced mass models
suitable for analyzing transient stability. In [6]the source uses six-mass drive drain modelling in
the analysis of transient processes in the instance of faults as well as other disturbances. In
[7]three drive train models were different were used as well as different topologies of the power
electronic converters which were used in harmonic assessment study. Reference, [8]had a
comparison of the transient stabilities in the three-mass modelling, two-mass modelling and the
one –mass modelling. To add on this, various effects of bending flexibilities, hub inertias and
blade on the stability transients in large wind turbines were analyzed. [9]researched on the three-
mass modelling that took into account the blade flexibility and shaft flexibly in the structural
dynamics. This design was produced and used in deriving a two-mass model. In [10]the source
concludes that the model having two-mass drive train was adequate for analyzing the transient
stability in the systems of wind turbine-generators. In addition, two-mass modelling is mostly
used in [11]Other sources such as [12]and [13]focused their study on generator modelling a
control whose drive train system simply had been expressed by a single mas model.
c) DFIG Modelling
There are four categories to classify the Doubly Fed Induction machines. The types include the
cascaded doubly-Fed induction machine, standard Doubly-Fed induction machine, brushless
Doubly-Fed induction machine single-frame cascaded Doubly-Fed induction machine. On the
other hand, only the brushless type and the standard type Doubly-Fed induction machines are
applicable in systems of wind turbine-generators. In [14]there is a development of brushless
Doubly-Fed induction generator with the employment of 2 cascaded induction machinery that
did not make use of copper rings and brushes but used flux-oriented closed loop control scheme
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for achieving reactive and active power control. In [15]there is a proposal for a direct power
control methodology that makes use of cascade doubly-fed brushes induction generators that had
fast dynamic responses with very good steady-state performance. The expression of the DFIG
model can be seen in the reference frame statutory stator, the reference frame that rotates at rotor
speed together with the synchronously rotating reference frame. In [16]the source adopts a
synchronously rotating reference frame for the purpose of simplifying the design of the
controller due to the fact that the voltage and current are expressed in the reference frame.
DFIG model is mostly used by models in reduced order that are able to yield third-order models
by neglect of terms sued in driving the first-order model and the stator flux by neglect of both
stator flux derivative terms and rotor flux. However, in [17]the source proposes a use of
improved third-order models. [18]Deduced third –order models that ignored stator resistances as
well as the inductances through the application of the La Place transformation. Afterwards, the
source compared the transient analysis of the full-order model and proposed model.
There are a number of references that could be used in comparing between reduce models and
full-order models. In [19]the source included saturated conditions and developed a detailed d
comparison among the unsaturated and the saturated reduced order models and full-order model
[20]comes in to compare the third-order models with full-order models in 2 operating points that
are extreme in conditions of short circuit faulting. These two points include the super-
synchronous speed and sub-synchronous speed. The difference existing between the squirrel-
cage induction model generator and the rotor input Doubly-Fed generator. Thereby simplifying
the models of the squirrel-cage generators would be important in the understanding of the
reduced DFIG model orders.
d) Power Converter Modelling
for achieving reactive and active power control. In [15]there is a proposal for a direct power
control methodology that makes use of cascade doubly-fed brushes induction generators that had
fast dynamic responses with very good steady-state performance. The expression of the DFIG
model can be seen in the reference frame statutory stator, the reference frame that rotates at rotor
speed together with the synchronously rotating reference frame. In [16]the source adopts a
synchronously rotating reference frame for the purpose of simplifying the design of the
controller due to the fact that the voltage and current are expressed in the reference frame.
DFIG model is mostly used by models in reduced order that are able to yield third-order models
by neglect of terms sued in driving the first-order model and the stator flux by neglect of both
stator flux derivative terms and rotor flux. However, in [17]the source proposes a use of
improved third-order models. [18]Deduced third –order models that ignored stator resistances as
well as the inductances through the application of the La Place transformation. Afterwards, the
source compared the transient analysis of the full-order model and proposed model.
There are a number of references that could be used in comparing between reduce models and
full-order models. In [19]the source included saturated conditions and developed a detailed d
comparison among the unsaturated and the saturated reduced order models and full-order model
[20]comes in to compare the third-order models with full-order models in 2 operating points that
are extreme in conditions of short circuit faulting. These two points include the super-
synchronous speed and sub-synchronous speed. The difference existing between the squirrel-
cage induction model generator and the rotor input Doubly-Fed generator. Thereby simplifying
the models of the squirrel-cage generators would be important in the understanding of the
reduced DFIG model orders.
d) Power Converter Modelling
12
A power converter that is traditional to make use of systems of wind turbine-generators which
have back-to-back two-level PWM converters. The source of the three-phase PWM model
converter could be described in the reference frame made of abc with the reference frame having
the d-q synchronization being deduced for control purposes. The mathematical model bases its
space vectors described in the abc reference frame shown in [21]In [22]authors produced
detailed description of the study on the transformation of the model with PWM converter to the
d-q synchronization and abc reference frame.
In applications purposed for wind turbines, some researchers produced presented simple power
converter model that employs the equal AC voltage for the generation of the fundamental
frequency. [23]produced detail of the description of the working principles, comparisons and
control strategies for the three-phase sources of current and voltage for PWM converters.
2.3. Systems of Wind Turbine-Generator Control Strategies
The scheme control for systems of wind turbine-generator system includes DFIG control, pitch
angel control and maximum power tracking point control. The traditionally used method of
control technique, as well as the advanced techniques of control for wind turbine-generators, will
be reviewed in this subtopic.
Pitch Angle Control
This control method is mechanically used in the control of the blade angle as it moves in the
wind turbine when it captures power form t hind exceeding the rated value or the speed of wind
exceeding the rated value.in this manner, this type of control is enabled to control the maximum
output power being equal to the power that is rated, hence protecting the generator when the
speed of wind goes through gusts. Only at high speed of wind would the controller be activated.
A power converter that is traditional to make use of systems of wind turbine-generators which
have back-to-back two-level PWM converters. The source of the three-phase PWM model
converter could be described in the reference frame made of abc with the reference frame having
the d-q synchronization being deduced for control purposes. The mathematical model bases its
space vectors described in the abc reference frame shown in [21]In [22]authors produced
detailed description of the study on the transformation of the model with PWM converter to the
d-q synchronization and abc reference frame.
In applications purposed for wind turbines, some researchers produced presented simple power
converter model that employs the equal AC voltage for the generation of the fundamental
frequency. [23]produced detail of the description of the working principles, comparisons and
control strategies for the three-phase sources of current and voltage for PWM converters.
2.3. Systems of Wind Turbine-Generator Control Strategies
The scheme control for systems of wind turbine-generator system includes DFIG control, pitch
angel control and maximum power tracking point control. The traditionally used method of
control technique, as well as the advanced techniques of control for wind turbine-generators, will
be reviewed in this subtopic.
Pitch Angle Control
This control method is mechanically used in the control of the blade angle as it moves in the
wind turbine when it captures power form t hind exceeding the rated value or the speed of wind
exceeding the rated value.in this manner, this type of control is enabled to control the maximum
output power being equal to the power that is rated, hence protecting the generator when the
speed of wind goes through gusts. Only at high speed of wind would the controller be activated.
13
There exist many pitch angle techniques of regulation that are shown in [24]A conventional
control type makes use of PI controllers. However, many advanced strategies for controlling the
pitch angle have been proposed. The latest approach in this control would be a control that could
work well in noisy circumstances and be efficient in unstable conditions that are presented in
[25]Also, there is a fuzzy logic pitch angle for this control type suggested in [26]that requires
less knowledge about the wind system.
Additionally, the pitch angle controller uses a predictive control that is generalized as depicted in
[27]whereby the strategy could be based on the average speed of the wind and standard wind
speed deviation. One more scheme for pitch control is depicted in [28]that involves self-turning
regulator with an adaptive controller. The techniques make use of one hybrid controller called
Gaussian neuro controller.
2.4. Topologies of Power Converters in Systems of Wind Turbine Generators
In power electronics, there is an efficient need for conversion or electric power which is an
important feature in systems of wind power. Recent years have developed multilevel converters
as well as the matrix converters used in medium voltage drives. This section depicts the applied
multilevel converters reviewed from various sources.
a) Diode Clamped Inverter
This is an effective method used in controlling medium voltage having motors with high power
induction through cascaded neutral –point-clamped inverter [29]there is a five-level twelve-
switch inverter used in high-speed three-phase electrical machines that have reduced reactance
per unit leakage. [30]Uses a latest single-inductor dc/dc multi-output converter that is able to
control dc-link voltage in the single-phase asymmetrical diode-clamped inverter for an
There exist many pitch angle techniques of regulation that are shown in [24]A conventional
control type makes use of PI controllers. However, many advanced strategies for controlling the
pitch angle have been proposed. The latest approach in this control would be a control that could
work well in noisy circumstances and be efficient in unstable conditions that are presented in
[25]Also, there is a fuzzy logic pitch angle for this control type suggested in [26]that requires
less knowledge about the wind system.
Additionally, the pitch angle controller uses a predictive control that is generalized as depicted in
[27]whereby the strategy could be based on the average speed of the wind and standard wind
speed deviation. One more scheme for pitch control is depicted in [28]that involves self-turning
regulator with an adaptive controller. The techniques make use of one hybrid controller called
Gaussian neuro controller.
2.4. Topologies of Power Converters in Systems of Wind Turbine Generators
In power electronics, there is an efficient need for conversion or electric power which is an
important feature in systems of wind power. Recent years have developed multilevel converters
as well as the matrix converters used in medium voltage drives. This section depicts the applied
multilevel converters reviewed from various sources.
a) Diode Clamped Inverter
This is an effective method used in controlling medium voltage having motors with high power
induction through cascaded neutral –point-clamped inverter [29]there is a five-level twelve-
switch inverter used in high-speed three-phase electrical machines that have reduced reactance
per unit leakage. [30]Uses a latest single-inductor dc/dc multi-output converter that is able to
control dc-link voltage in the single-phase asymmetrical diode-clamped inverter for an
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achievement of voltage quality enhancing. [31]Has a comparative analysis of a classical neutral
point clamped structure together with developed NPC converters. [32]Depicts a dc circuit
protection for a short bus that is mainly done with the use of voltage sensor across the emitter
and collector of every device in their legs. [33]developed a nine-level active NPC used in grid
connection for large wind turbines for the purpose of improving the quality of the waveform in
the converter’s output current and voltage. [34]Had investigations on balancing of DC-link
voltages that use passive RLC circuits in the single-phase diode clamp inverters that have two
three-level legs. [24]has the design of a three-level active NPC with a zero-current-transition
converter which is used for sustainable conversion for energy power. [15]has new techniques of
modulation for the three-phase transformer with less NPC inverters that remove the current
leakages in a system using photovoltaic technology without the need for any modification in the
multilevel inverter. [31]makes a comparison of three-level diode NPC with zero-current
transition inverter to the three-level active NPC with a zero-current-transition inverter. The
comparison is with respect to the switching volume, energy and influence on the parasitic
inductance.
b) Cascaded Multilevel Inverter
[6]makes a study on the cascaded H-bridge multilevel inverter that implements the use of single
DC power sources and capacitor. [6]Study is on the cascaded H-bridge inverter with multilevel
boost used in electric vehicles as well as hybrid vehicles. Their applications have been
implemented without making use of inductors. [27]has the latest strategy in feedback control that
balances the individual Dc capacitor voltages in the proposed cascade multilevel in three-phase
inverters that base their functioning on the compensator synchronization. Also, there is a single-
phase H-bridge converter that is cascaded for an application in photovoltaic grid connection. It
achievement of voltage quality enhancing. [31]Has a comparative analysis of a classical neutral
point clamped structure together with developed NPC converters. [32]Depicts a dc circuit
protection for a short bus that is mainly done with the use of voltage sensor across the emitter
and collector of every device in their legs. [33]developed a nine-level active NPC used in grid
connection for large wind turbines for the purpose of improving the quality of the waveform in
the converter’s output current and voltage. [34]Had investigations on balancing of DC-link
voltages that use passive RLC circuits in the single-phase diode clamp inverters that have two
three-level legs. [24]has the design of a three-level active NPC with a zero-current-transition
converter which is used for sustainable conversion for energy power. [15]has new techniques of
modulation for the three-phase transformer with less NPC inverters that remove the current
leakages in a system using photovoltaic technology without the need for any modification in the
multilevel inverter. [31]makes a comparison of three-level diode NPC with zero-current
transition inverter to the three-level active NPC with a zero-current-transition inverter. The
comparison is with respect to the switching volume, energy and influence on the parasitic
inductance.
b) Cascaded Multilevel Inverter
[6]makes a study on the cascaded H-bridge multilevel inverter that implements the use of single
DC power sources and capacitor. [6]Study is on the cascaded H-bridge inverter with multilevel
boost used in electric vehicles as well as hybrid vehicles. Their applications have been
implemented without making use of inductors. [27]has the latest strategy in feedback control that
balances the individual Dc capacitor voltages in the proposed cascade multilevel in three-phase
inverters that base their functioning on the compensator synchronization. Also, there is a single-
phase H-bridge converter that is cascaded for an application in photovoltaic grid connection. It
15
has an independent control in every DC link voltage used in tracking the maximum point of
power in all the PV panel string carried out. [14]has a direct scheme used in torque control for
electric vehicles, as well as the hybrid H-bridge, cascaded multilevel motor drive coming from
DTC implemented principles of operation. There is a generalized multiband hysteresis
modulation as well as their proposed features for a slide-mode control of the multilevel-inverter
in the cascaded H-bridge. To add on these techniques, the asymmetrical hybrid topology for
three and single-phases in systems of high power medium voltages can be seen in [14]The
sources display numerous technologies such as the cascaded H-bridge converter and its effects
on the connected load together with the switching angles on the regulation of voltages in the
studied capacitors. Another used topology is the converter with a cascaded multilevel whose
connection is in cascade with the single-phase sub-multilevel units of converters and full-bridge
converters. This leads to structural optimization.
c) Flying Capacitor Multilevel Inverter
[5]comes in to develop a mathematical analysis of the process of balancing in the buck-boost
boost converters together with the stabilized voltage sharing investigations that make use of the
passive RLC connections for flying capacitors in switch-mode with implemented dc-dc
converters. More topology on the flying capacitor multilevel-converter that has numerous
terminals with varying ac and dc voltages are found in the same source. This source goes on to
propose utilization of the topology as modules for power conversion integration. Control strategy
in [5]focuses on the flying capacitor multilevel l inversion. There is an analysis of the probable
switching states more stress on the possible multiple communications that were to be carried out.
An input dc stabilization voltage is discussed with a concern on the 5-level flying capacitor
voltage inverter sources. An algorithm is put to control the feedback from the proposed rectifier.
has an independent control in every DC link voltage used in tracking the maximum point of
power in all the PV panel string carried out. [14]has a direct scheme used in torque control for
electric vehicles, as well as the hybrid H-bridge, cascaded multilevel motor drive coming from
DTC implemented principles of operation. There is a generalized multiband hysteresis
modulation as well as their proposed features for a slide-mode control of the multilevel-inverter
in the cascaded H-bridge. To add on these techniques, the asymmetrical hybrid topology for
three and single-phases in systems of high power medium voltages can be seen in [14]The
sources display numerous technologies such as the cascaded H-bridge converter and its effects
on the connected load together with the switching angles on the regulation of voltages in the
studied capacitors. Another used topology is the converter with a cascaded multilevel whose
connection is in cascade with the single-phase sub-multilevel units of converters and full-bridge
converters. This leads to structural optimization.
c) Flying Capacitor Multilevel Inverter
[5]comes in to develop a mathematical analysis of the process of balancing in the buck-boost
boost converters together with the stabilized voltage sharing investigations that make use of the
passive RLC connections for flying capacitors in switch-mode with implemented dc-dc
converters. More topology on the flying capacitor multilevel-converter that has numerous
terminals with varying ac and dc voltages are found in the same source. This source goes on to
propose utilization of the topology as modules for power conversion integration. Control strategy
in [5]focuses on the flying capacitor multilevel l inversion. There is an analysis of the probable
switching states more stress on the possible multiple communications that were to be carried out.
An input dc stabilization voltage is discussed with a concern on the 5-level flying capacitor
voltage inverter sources. An algorithm is put to control the feedback from the proposed rectifier.
16
Additionally, one experiment is doe on the system involving photovoltaics conditioning of power
with the connection of lines that allow the conditioning portion o be made of flying capacitors
multi-inverter that is supplied by the dc-dc boost converter. Finally, a two active voltage
balancing capacitor scheme is proposed for single-phase multilevel converters with flying
capacitors. This comes from the equation of the converters used in the flying capacitor. This
method is effective in the regulation of capacitor voltage in the used multilevel flying capacitor
converter.
d) Sinusoidal PWM
[31]suggests the use of a multicarrier sub-harmonic Pulse Width Modulation which is a band
carrier deposition together with a phase-shifted carrier. The technique was fabricated to develop
levels of output voltages that improve the harmonic spectrum of the output voltage with wide
frequency range output. Additionally, it develops a carrier-based technique in closed-loop
control that as has been invented with the aim of reducing losses in switching. The losses come
inform of ‘no switching’ insertion zone in every half cycle if the fundamental wave. [9]discusses
a 5-level pulse width modulation inverter configuration that includes the chopper circuits in DC
power source in circuits that use small smoothing inductors. This can be verified by means of
experimental rest and computer simulation as depicted in the source. Other than that, the source
involves the use of 7-level flying multilevel inverter capacitor. That uses as the sinusoidal pulse
width modulation technology. In the sinusoidal technology of pulse width modulation, the phase
deposition increases its output waveform to the seven-level limit while it reduces the harmonics
in the output.
e) Space Vector PWM
Additionally, one experiment is doe on the system involving photovoltaics conditioning of power
with the connection of lines that allow the conditioning portion o be made of flying capacitors
multi-inverter that is supplied by the dc-dc boost converter. Finally, a two active voltage
balancing capacitor scheme is proposed for single-phase multilevel converters with flying
capacitors. This comes from the equation of the converters used in the flying capacitor. This
method is effective in the regulation of capacitor voltage in the used multilevel flying capacitor
converter.
d) Sinusoidal PWM
[31]suggests the use of a multicarrier sub-harmonic Pulse Width Modulation which is a band
carrier deposition together with a phase-shifted carrier. The technique was fabricated to develop
levels of output voltages that improve the harmonic spectrum of the output voltage with wide
frequency range output. Additionally, it develops a carrier-based technique in closed-loop
control that as has been invented with the aim of reducing losses in switching. The losses come
inform of ‘no switching’ insertion zone in every half cycle if the fundamental wave. [9]discusses
a 5-level pulse width modulation inverter configuration that includes the chopper circuits in DC
power source in circuits that use small smoothing inductors. This can be verified by means of
experimental rest and computer simulation as depicted in the source. Other than that, the source
involves the use of 7-level flying multilevel inverter capacitor. That uses as the sinusoidal pulse
width modulation technology. In the sinusoidal technology of pulse width modulation, the phase
deposition increases its output waveform to the seven-level limit while it reduces the harmonics
in the output.
e) Space Vector PWM
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[21]discusses 2 discontinues multilevel Space Vector Modulation with a technique that is used in
the DVR control for the aim of reducing the switching losses in the inverter that maintain
virtually similar harmonic performance as a normal use of the multilevel SVM with greater level
numbers. The similar source comes in to discuss two carrier-based technologies in modulation
that use two dual-level inverters featuring a power-sharing capability as well as better multilevel
waveforms of voltage introduction. It has a major advantage due to its simpler method of
implementation compared to SVM. 3-D space modulation technology is also discussed in this
source, topping up to the already mentioned technologies. The 3-D technique, in this case, tries
to produce a balanced voltage capability in the cascaded 7-level rectifier stage.
f) SHE-PWM
[6]Thoroughly investigates the methods used in obtaining the initial SHE-PWM equation values
in accordance with the reference modulation M index. As well as the fundamental voltage phase
angle output. The harmonics are eliminated in the cascaded multilevel inverter through the
consideration of non-equality in the separate dc sources by making use of the optimized particle
swarming. It also introduces a new selective formulation in the elimination of harmonics in pulse
width modulation that is suitable in cascading multilevel inverters with optimized levels of DC
voltages.
3. RESEARCH DESIGN
This thesis proposed a design for the voltage support of a grid-connected wind turbine using a
five-level converter. The proposed converter is three-phase five-level cascaded H-bridge
multilevel converter. The first section of the design is a wind turbine coupled to the Permanent
Magnet Synchronous Generator (PMSG) for the generation of the wind power. It is followed by
[21]discusses 2 discontinues multilevel Space Vector Modulation with a technique that is used in
the DVR control for the aim of reducing the switching losses in the inverter that maintain
virtually similar harmonic performance as a normal use of the multilevel SVM with greater level
numbers. The similar source comes in to discuss two carrier-based technologies in modulation
that use two dual-level inverters featuring a power-sharing capability as well as better multilevel
waveforms of voltage introduction. It has a major advantage due to its simpler method of
implementation compared to SVM. 3-D space modulation technology is also discussed in this
source, topping up to the already mentioned technologies. The 3-D technique, in this case, tries
to produce a balanced voltage capability in the cascaded 7-level rectifier stage.
f) SHE-PWM
[6]Thoroughly investigates the methods used in obtaining the initial SHE-PWM equation values
in accordance with the reference modulation M index. As well as the fundamental voltage phase
angle output. The harmonics are eliminated in the cascaded multilevel inverter through the
consideration of non-equality in the separate dc sources by making use of the optimized particle
swarming. It also introduces a new selective formulation in the elimination of harmonics in pulse
width modulation that is suitable in cascading multilevel inverters with optimized levels of DC
voltages.
3. RESEARCH DESIGN
This thesis proposed a design for the voltage support of a grid-connected wind turbine using a
five-level converter. The proposed converter is three-phase five-level cascaded H-bridge
multilevel converter. The first section of the design is a wind turbine coupled to the Permanent
Magnet Synchronous Generator (PMSG) for the generation of the wind power. It is followed by
18
a three-phase diode rectifier along-with a DC-DC boost converter which converts the ac power
generated by the PMSG into dc power followed by the boosting of the generated voltage. Then
after, the single-phase two-level inverter is used to convert the dc power back to ac so as to feed
the multi-winding transformer.
The multi-winding transformer has seven windings (one in the primary and six in the secondary
having same number of turns for each winding at secondary) and it is used to provide the equal
voltages to the six input voltage sources of the five-level converter. Six single phase diode
rectifiers are used an in-between multi-winding transformer and three-phase five-level converter
in order to convert ac voltages to dc which are fit for the converter. Finally, it is connected to the
grid.
The purposes of using three-phase five-level cascaded H-bridge multilevel converter are to
reduce the harmonic content in the output voltage waveform, lower the electromagnetic
interference (EMI), reduce the power losses at switching devices to a negligible level, improve
the power factor and increase the efficiency[1]. The only problem with this converter topology is
high switch voltage withstanding capability [2].
The block diagram of a grid-connected wind turbine with all other components is shown below:
a three-phase diode rectifier along-with a DC-DC boost converter which converts the ac power
generated by the PMSG into dc power followed by the boosting of the generated voltage. Then
after, the single-phase two-level inverter is used to convert the dc power back to ac so as to feed
the multi-winding transformer.
The multi-winding transformer has seven windings (one in the primary and six in the secondary
having same number of turns for each winding at secondary) and it is used to provide the equal
voltages to the six input voltage sources of the five-level converter. Six single phase diode
rectifiers are used an in-between multi-winding transformer and three-phase five-level converter
in order to convert ac voltages to dc which are fit for the converter. Finally, it is connected to the
grid.
The purposes of using three-phase five-level cascaded H-bridge multilevel converter are to
reduce the harmonic content in the output voltage waveform, lower the electromagnetic
interference (EMI), reduce the power losses at switching devices to a negligible level, improve
the power factor and increase the efficiency[1]. The only problem with this converter topology is
high switch voltage withstanding capability [2].
The block diagram of a grid-connected wind turbine with all other components is shown below:
19
Fig: Block Diagram of a grid-connected the wind turbine
The above is a block diagram of a grid-connected wind turbine is separated into three parts
which are shown below:
Fig: Configuration of Wind turbine before the five-level converter
Fig: Block Diagram of a grid-connected the wind turbine
The above is a block diagram of a grid-connected wind turbine is separated into three parts
which are shown below:
Fig: Configuration of Wind turbine before the five-level converter
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Fig: Topology of Three-Phase Five Level Cascaded H-Bridge Multilevel Inverter with R-L Load
Fig: A configuration of a grid after the five-level converter
Fig: Topology of Three-Phase Five Level Cascaded H-Bridge Multilevel Inverter with R-L Load
Fig: A configuration of a grid after the five-level converter
21
4. Result and Analysis
The modelling and control section of the above design has been achieved using the dynamic
simulation software MATLAB R2017a Simulink created by MathWorks[3].
The profile of the wind in the input of the wind turbine is shown below:
Fig: Wind Profile on the Turbine
The gating pulses to the IGBT switches of the five-level converter are generated by using the
Sinusoidal Pulse Width Modulation (SPWM) Technique. For this proposed converter model, the
reference signals are the three sinusoidal waves separated by a phase angle of 120 ̊ apart and four
triangular carrier waves are generated and compared to the reference or modulating signals to
produce the switching signals for IGBTs. The switching signal generated by this technique is
4. Result and Analysis
The modelling and control section of the above design has been achieved using the dynamic
simulation software MATLAB R2017a Simulink created by MathWorks[3].
The profile of the wind in the input of the wind turbine is shown below:
Fig: Wind Profile on the Turbine
The gating pulses to the IGBT switches of the five-level converter are generated by using the
Sinusoidal Pulse Width Modulation (SPWM) Technique. For this proposed converter model, the
reference signals are the three sinusoidal waves separated by a phase angle of 120 ̊ apart and four
triangular carrier waves are generated and compared to the reference or modulating signals to
produce the switching signals for IGBTs. The switching signal generated by this technique is
22
shown below;
Fig(a): Reference and Carrier Waveforms
Fig(b): Switching Signals
The generated switching signals provide the gating pulses to the IGBTs of the five-level inverter.
The switching states of one leg of the five-level inverter are tabulated below:
State On Switches Vout
1 S1, S4, S5 2Vdc
shown below;
Fig(a): Reference and Carrier Waveforms
Fig(b): Switching Signals
The generated switching signals provide the gating pulses to the IGBTs of the five-level inverter.
The switching states of one leg of the five-level inverter are tabulated below:
State On Switches Vout
1 S1, S4, S5 2Vdc
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2 S1, S4, S6 Vdc
3 * * * 0
4 S2, S3, S6 -Vdc
5 S2, S3, S5 -2Vdc
The output line to neutral voltage waveform is obtained as follows:
Vin= 100V
Fig(a):
Converter output line-neutral Voltage (converter alone)
To find out the Total Harmonic Distortion (THD) of the output waveform, Fast Fourier
Transform (FFT) analysis is done.
During FFT analysis,
Fundamental Frequency = 50 Hz
Maximum Frequency = 10,000 Hz
2 S1, S4, S6 Vdc
3 * * * 0
4 S2, S3, S6 -Vdc
5 S2, S3, S5 -2Vdc
The output line to neutral voltage waveform is obtained as follows:
Vin= 100V
Fig(a):
Converter output line-neutral Voltage (converter alone)
To find out the Total Harmonic Distortion (THD) of the output waveform, Fast Fourier
Transform (FFT) analysis is done.
During FFT analysis,
Fundamental Frequency = 50 Hz
Maximum Frequency = 10,000 Hz
24
Fig(b): Its associated harmonic spectrum
The line- line voltage waveforms at the output of the five-level converter after connecting the
converter with grid and wind turbine are shown below:
Fig(a):
Converter Output Line-Line Voltage Waveform when connected to grid and wind turbine
Fig(b): Its associated harmonic spectrum
The line- line voltage waveforms at the output of the five-level converter after connecting the
converter with grid and wind turbine are shown below:
Fig(a):
Converter Output Line-Line Voltage Waveform when connected to grid and wind turbine
25
Fig(b):
Its associated harmonic spectrum
But, in this case, the reference signals to generate the gate pulses for IGBTs are taken from the
grid (Va, Vb and Vc). As we can see from the results, the THD of output voltage waveform is
19.19% (when max. frequency is set as 10,000 Hz) which is very low in compared to two- and
three-level converters.
5. Conclusion
These works consist of simulated results of wind energy systems that make use of a 5-level diode
clamped multilevel converter applicable in grid connections. Additionally, the paper concludes
stating its purpose which is going up with robust, simple, highly efficient and free maintenance
power system. The use of highly efficient converters produced a desirable energy system for
specific relations to the grid-connected wind implementations. The 5-level DCMLC has been
implemented in a three-phase system a developed wind energy system representing many
promising advantages. One advantage is the ability to generate DC power utility from the PMSG.
One more is its ability to decrease or increase the level of voltage output with the buck-boost
helping in maintaining constant output for higher efficiency in a lower overall weight capacity.
Fig(b):
Its associated harmonic spectrum
But, in this case, the reference signals to generate the gate pulses for IGBTs are taken from the
grid (Va, Vb and Vc). As we can see from the results, the THD of output voltage waveform is
19.19% (when max. frequency is set as 10,000 Hz) which is very low in compared to two- and
three-level converters.
5. Conclusion
These works consist of simulated results of wind energy systems that make use of a 5-level diode
clamped multilevel converter applicable in grid connections. Additionally, the paper concludes
stating its purpose which is going up with robust, simple, highly efficient and free maintenance
power system. The use of highly efficient converters produced a desirable energy system for
specific relations to the grid-connected wind implementations. The 5-level DCMLC has been
implemented in a three-phase system a developed wind energy system representing many
promising advantages. One advantage is the ability to generate DC power utility from the PMSG.
One more is its ability to decrease or increase the level of voltage output with the buck-boost
helping in maintaining constant output for higher efficiency in a lower overall weight capacity.
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Lastly, the power switching devices have reduced stresses, leading to radio frequency and audio
noise and fewer problems in electromagnetic compatibility. All these features have been realized
due to the implementation of the low switching frequency operation of the multilevel inverter.
Lastly, the power switching devices have reduced stresses, leading to radio frequency and audio
noise and fewer problems in electromagnetic compatibility. All these features have been realized
due to the implementation of the low switching frequency operation of the multilevel inverter.
27
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[1] G. Andrew and H. Jennifer, Data Analysis Using Regression and Multilevel/Hierarchical
Models, Singleton: Cambridge University Press, 2007.
[2] T. Andrzej, Power Electronic Converters and Systems: Frontiers and Applications, Sands:
Institution of Engineering and Technology, 2015.
[3] K. Avinash, B. Rabindranath and P. Samrat, Advances in Systems, Control and
Automation: ETAEERE-2016, Broken Hill: Springer Singapore, 2017.
[4] S. Tom and B. Roel, Multilevel Analysis: An Introduction to Basic and Advanced
Multilevel Modeling, orange: SAGE, 2011.
[5] W. Bin, High-Power Converters and AC Drives, Bunbury: John Wiley & Sons, 2007.
[6] D. Sixing, D. Apparao, W. Bin and Z. Navid, Modular Multilevel Converters: Analysis,
Control, and Applications, Bundaberg: Wiley, 2018.
[7] K. Krishna and B. Pallavee, Multilevel Inverters: Conventional and Emerging Topologies
and Their Control, Bundaberg: Elsevier Science & Technology Books, 2017.
[8] S. Kamran, H. Lennart, N. Hans-Peter, N. Staffan and T. Remus, Design, Control, and
Application of Modular Multilevel Converters for HVDC Transmission Systems, Wagga
Wagga: John Wiley & Sons, 2016.
[9] Maswood., Advanced Multilevel Converters and Applications in Grid Integration, Wagga
Wagga: John Wiley & Sons, Limited, 2018.
[10] J. Dragan and A. Khaled, High Voltage Direct Current Transmission: Converters, Systems
28
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[11] L. Fang and Y. Hong, Power Electronics: Advanced Conversion Technologies, Tamworth:
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[12] A.-R. Haitham, M. Mariusz and A.-H. Kamal, Power Electronics for Renewable Energy
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[13] L. Yushan, A.-R. Haitham, G. Baoming, B. Dr. Frede, E. Omar and C. Poh, Impedance
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Geraldton: CRC Press, 2018.
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Energy Systems, Geraldton: John Wiley & Sons, 2011.
[17] L. Fang and H. Ye, Renewable Energy Systems: Advanced Conversion Technologies and
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Dubbo: John Wiley & Sons, 2013.
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