Fig. 2.3 Disk and cup rotor designs
The radius of the rotor primarily depends on the power
expected from the turbine and the strength of the wind regime in which it
operates [5].
2.2.4 Tower
The main function of the tower is to raise the blades and the
generator to a height where the wind is stronger and smoother than the ground
level. The wind speed increases with height because of the earth surface [9].
The tower should be high enough to avoid any obstacles such as trees, building,
etc. Practical considerations such as expense, safety and maintenance limit the
tower to between 10m to 20m [6] above ground level.
2.3 Design of a wind turbine for Ga-Rampuru
village
In this section a wind generator that is designed
specifically for Ga-Rampuru village will be discussed. The generator will be
designed using recyclable materials such as car brake plates, cables and drums
found in the village [See appendix A]; this will clearly ensure a cost
effective design. The wind turbine will be designed in such a way that the
local people can easily assemble and manufacture it themselves.
All the recyclable materials that will be used in this design
will be discussed below and an artist impression of the wind generator will be
sketched.
2.3.1 The drum
The output of the wind generator depend on the amount of wind
swept by the blades, therefore the wind extracting materials in a wind
generator are very significant. A plastic drum will be used in this design to
extract the wind since it can be easily shaped and carefully balanced to run
smoothly. Also, it is resistant to fatigue braking and has a very light weight.
The drum will be assembled as follows:
1. The top and the bottom part of the drum will be cut
carefully by using a knife or pair of scissors to make a cylinder with open
ends.
2. The cylindrical drum is then cut length-wise into
two equal halves.
3. The two halves are then glued together similar to
the drum shown in figure 2.4.
Figure 2.4 An S-shaped drum
To prevent the over speeding of the drum, the permanent
magnet generator should always be connected to a battery or other electrical
load. If this is not done the wind turbine will become noisy and may vibrate so
much that some parts come loose and fall to the ground [6].
2.3.2 Magnet rotor disk
After a tour around the village neighbourhood dumpsites it
was discovered that there are many discarded loud-speakers that are no longer
in use in the village. These loud-speakers have permanents mounted to their
back. Since the PM generator requires magnets, these loud-speakers will be
recycled and the magnets on them will be used in this design. Figure 2.5 shows
one such magnet that was found in the village.
There are many factors such as heat, radiation and strong
electrical currents that can affect the strength of a magnet [8],
especially in such discarded state. These factors will be discussed later to
investigate exactly how much surface magnetic flux density these magnets loose
in the dumpsites.
And later on in this thesis the performance of a PM wind
generator designed using standard commercial magnets will be compared to a
generator using the recycled loudspeaker magnets as substitutes.
Designing a generator using the speaker magnets will pose the
following challenges due to their shape and strength:
· How does one design a machine with these magnets?
· Do they have to be smashed and aligned to
work?
· Or should they be used the way they are?
· How much flux density do these magnets
have, in other word, can they give out any power when used in the generator
design?
· Can different magnet types be used on one
machine? As this magnets are picked randomly in the rural area.
2.3.3 Rotor Disk
A cylindrically shaped rotor is preferred as it allows the
proper distribution of flux over the armature surface as the field coils are spread
over the periphery of the cylindrical rotor. Hence, a brake plate from an old
car like the one in figure 2.6 will be used as the rotor in this design to hold
and house the magnets.
2.3.4 Distribution cables
All the cabling that will be required in the construction of
the wind generator was found in an old car in the village [See figure 2.7].
2.3.5 Artist impression of the wind turbine
Figure 2.8 below shows the artist impression of the wind
generator designed exclusively for Ga-Rampuru village.
Figure 2.8 Ga-Rampuru wind generator
The following chapters describe the steps taken by the author
to investigate the performance of a synchronous permanent magnet machine
constructed using recyclable loudspeaker magnets.
Chapter 3. Generator Design
3.1 A brief background
This chapter will detail a simple procedure undertaken to
design the wind generator from recyclable materials. Permanent magnet machines
are preferred for this application as they reduce the excitation losses
significantly and hence a substantial increase in the efficiency of the
machine. In addition, permanent magnet machines are simple to construct and
maintain [10].
The most common wind turbine systems are three blades
rotating on a horizontal axis coupled to an alternator to generate electricity,
which could be used to for battery charging. For a picture of a typical basic
wind turbine system refer to figure 2.1 in chapter 2.
A normal two- pole synchronous permanent magnet generator
will be designed and its performance will be analysed. Then recyclable
loudspeaker magnets found in the rural area of Ga-Rampuru village will be used
to substitute the standard commercial magnets in the generator. The performance
of the new generator will be analysed to understand the effect of the
loudspeaker magnets on the generator performance.
For this investigation, matching the refrigerator load in
chapter 1 will not be a priority.
This chapter will start with outlining the desired generator
specification and then the generator will be designed thereafter. To design the
generator the permanent magnet properties will be discussed to understand their
effect on the generator performance and losses due to these magnetic materials
will also be investigated. And then, all the variables that are necessary to
construct and design a generator geometry will also be discussed.
Throughout this thesis the generator performance will be
tested under no-load conditions.
3.2 Generator specifications
In this thesis, a generator with the following specifications
will be designed and modelled in FEMM, a finite element package:
· Output power = 36W @ 12V
· Number of phases = 3
· Number of poles = 2
The choice of the above dimensions of the generator was
influenced by the following consideration:
· Induced output voltage, 12V is standard voltage
that is used in many applications. For example it is suitable to charge a
battery. Batteries are suitable to power a wide range of rural appliances and
instruments especially in remote areas of South Africa [11].
· The generator must be easily assembled and
manufactured so that the rural artisans with little training can be able to
assemble this generator.
The following design procedure will be followed:
1. A simple two-pole synchronous permanent magnet
generator will be designed using available standard commercial magnets such as
ceramics, alnicos and rare-earth magnets.
2. The effects of the above magnets on the performance
of the generator will be investigated.
3. The magnets from a loudspeaker that was randomly
picked in the village will then be used in the design and the performance will
also be investigated.
The designs above will be modelled using FEMM, a finite
element package. The main reason for using FEMM is to observe the output
induced voltage of the generator. This will be the method of how the
performance of the generator will be monitored.
3.3 Generator basic principle
The main function of a generator is to supply power to the
load, in order to do so; voltage has to be generated at the terminals. The
generator principle is based on Faraday’s law of induction [10]:
(Eq. 3.1)
where e is the
instantaneous voltage, is the flux linkage and t is the time.
The law states
that for voltage to be induced in a winding, the magnetic flux has to change
relative to the winding. This means that the flux linkage is changing and the
conductor is fixed or stationary. The flux linkage is the total flux,, linking all conductors in a winding with N turns.
Therefore the flux linkage is given by:
(Eq. 3.2)
To generate
voltage in practice, a mechanical motion and a source of magnetic flux must be
present. The mechanical motion can be linear or rotational, in this thesis the
motion is rotational and provided by the wind turbine. The source of flux is
permanent magnets.
3.4 Properties of permanent magnets
The use of permanent magnets in the construction of
electrical machines has lots of benefits. A PM can produce magnetic flux in the
airgap with no exciting winding and no dissipation of electric power [14].
Permanent magnets are known for their large hysteresis loop
and B-H curves. These curves are in the second quadrant of the loop called the
demagnetization curve; this is where the magnets operate. Demagnetization
curves of the PM materials are given is Fig 3.1
In all machines using permanent magnets to set up the
required magnetic flux, it is desirable that the material used for permanent
magnets have the following characteristics [12]:
a) A large retentivity (residual flux density) so that
the magnet is “strong” and provides the needed flux
b) A large coercivity so that it cannot be easily
demagnetized by armature reaction fields and temperature.
For analysis purpose, the magnet properties have to be known,
the remanence flux density Br and coercivity Hc. The
magnets are characterised by a large B-H loop, high Br and Hc.
Table 3.1 summarizes the properties of some of the standard commercial magnets,
these were estimated from figure 3.2 which indicate the demagnetization curves
of different permanent magnet materials.
Magnet
|
Type
|
Br
(T)
|
Hc (kA/m)
|
Rare-Earth
|
NdFeb32
|
1.22
|
900
|
Alnico
|
Alnico5
|
1.21
|
50
|
Ceramic
|
Ceramic8
|
0.4
|
260
|
Table 3.1 Magnets properties
Figure 3.1 Demagnetization curves for different PM materials
The remanence magnetic flux density Br is the
magnetic flux density corresponding to zero magnetic field intensity. High
remanence means that the magnet can support higher magnetic flux density in the
airgap of the magnetic circuit. While the coercivity Hc is the value
of demagnetizing field intensity necessary to bring the magnetic flux density
to zero in a material that is previously magnetized. High coercivity means that
a thinner magnet can be used to withstand the demagnetization field [10].
3.4.1 Types of magnets
There are three main types of magnets that can be found,
these are [10]:
1. ALNICO (Aluminium, nickel, cobalt, etc.)
These type of magnets poses high magnetic remanent flux
density and low temperature coefficients. The coercive force is very low and
the demagnetization curve is extremely non-linear. Therefore, it is very easy
to magnetize and demagnetize ALNICO magnets.
2. Ceramic or Ferrites (BaFe203 or SrFe203)
A ferrite has a higher coercive force than Alnico, but at the
same time has a lower remanent magnetic flux density. Their main advantage is
their low cost and very high electric resistance.
3. Rare - earth (SmCO, NdFeb-Neodynium Iron Boron)
These are one of the strongest types of magnets available.
They poses high remanent flux density, high coercive force, high energy
product, linear demagnetization curve and low temperature coefficients. The
main disadvantage is the cost.
High performance rare-earth magnets have successfully
replaced Alnico and Ferrites magnets in all applications where the high
power-to-weight ratio, improved dynamic performance or higher efficiency are of
prime interest.
3.4.2 Factors affecting recycled magnets
The recycled magnets that will be used in this thesis were randomly
picked; therefore there is no indication on how long they have been in the
dumpsites. The following are the factors that can affect the strength of
magnets:
· Heat
· Radiation
· Other magnets in close proximity to the
magnet
If a magnet is stored away from high temperatures, and from
the factors mentioned above, it will retain its magnetism essentially forever.
Modern magnet materials lose a fraction of their magnetism over time if
affected by the above factors [8].
3.5 Generator losses
The losses in a synchronous generator consist of rotational
loss (mechanical loss and magnetic loss) and copper loss in the armature
winding. The rotational loss and the field winding loss are subtracted from the
power to obtain the power developed by the armature. By subtracting the copper
losses in the armature from the developed power, we obtain the output power of
a synchronous generator.
In this section, the core loss will be discussed since they
are due to the magnetic flux variations.
3.5.1 Eddy current loss
This power loss occurs in a magnetic core when the flux
density changes rapidly in the core. Because core material has resistance, a
power loss i2R will be caused by the eddy current and will appear as
heat in the core [13].
The average eddy current loss is:
(Eq. 3.3)
where Pe
is the eddy current loss in watts (W), ke is
the constant that depends on the conductivity of the magnetic material, f is
the frequency in hertz (Hz), δ is the lamination thickness in meters, Bm is the
maximum flux density in tesla (T) and V is the volume of the magnetic material
in cubic meters (m3) [14].
The eddy current
losses can be reduced by [13]:
· Using a high-resistivity core material
· Using a laminated core, in transformers
and electric machines the parts that are made of magnetic core and carry
time-varying flux are normally laminated.
3.5.2 Hysteresis loss
During a cycle variation of current i, there is a net energy
flowing from the source to the coil-core assembly. This energy loss goes to
heat the core. The loss of power loss in the core owing to hysteresis effects
is called hysterisis loss.
By testing various ferromagnetic materials, Charles Steinmetz
proposed that hysteresis loss can be expressed as [14]:
(Eq. 3.4)
where Ph
is the hysteresis loss in watts, kh is a constant that depends upon
the magnetic material and n is the Steinmetz exponent.
3.5.3 Core loss
The hysterisis loss and eddy current loss are lumped together
as the core loss of the coil-core assembly, and given by:
(Eq. 3.5)
3.6 Design Variables
In the following section, all the parameters that are
necessary to design and construct a generator will be discussed and variables
such as generator diameter, length, etc. will also be calculated.
3.6.1 Speed of the generator
The annual mean wind speed at Ga-Rampuru is approximately
4m/s [11]. The rotor will rotate at the same speed as the wind
turbine; therefore this means that the rotor will rotate at:
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