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International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013
ISSN : 2335-1772
1

Abstract—PMSG provides a high performance, compact size,
light weight, and low noise, without forgetting its simple
structure, high thrust, and ease of maintenance, allow replacing
steam catapults in the future. Most turbine generators at low
wind speed are presented PMSGs, These it has advantages of
high efficiency and reliability, since there is no need of external
excitation and loss of drivers are removed from the rotor. In this
paper, a comparative PMSG performance study's with several
rotor topology is presented, each topology rotor has its own
permanent magnet structure that is width, thickness and angle.
These results are obtained by finite element method (FEM); this
approach is a powerful and useful tool to study and design
PMSGs, as represented in this paper.
Index Terms—Electrical machine, Design and simulation,
Finite element, PMSG, Permanent Magnet, Rotor type, Wind
Energy.
I. INTRODUCTION
he development of modern wind power conversion
technology has been going on since 1970s, and the rapid
development has been seen from 1990s. Various wind turbine
concepts have been developed and different wind generators
have been built [1].
In specialized literature several types of the machine was
developed; we can find a PMSM with internal rotor [2-3] or
with external rotor [4], even the comparative studies between
the two preceding topology was made [5], Also in [6] it
presents a study of interior rotor IG by FE, DC machine [7],
external rotor SRM [8], in the references [9-10] we find a
study of DFIG internal rotor by FE and external rotor in [11].
Even of the special structure machine like a doubly stator or
doubly rotor, this special machine is intended for special
applications [12].
Recent studies show a great demand for small to medium
rating (up to 20 kW) wind generators for stand-alone
generation-battery systems in remote areas. The type of
generator for this application is required to be compact and
light so that the generators can be conveniently installed at the
top of the towers and directly coupled to the WTs [13]. In
addition there are several reasons for using variable-speed
operation of WTs; the advantages are reduced mechanical
stress and optimized power capture. Because of the variable
speed operation, the direct-drive PMSG system can produce
5–10% more energy than the fixed two-speed concept, or 10–
15% more than the fixed single-speed concept [14].
II. PMSG IN WIND TURBINE APPLICATION
Compared to a conventional, gearbox coupled WT
generator, directly coupled generators has a series of
advantages, such as a much reduced size of the overall system,
a rather low installation and maintenance cost, flexible control
method, quick response to the wind fluctuation and load
variations, etc. However, a directly coupled generator needs to
have a very low-speed operation to match the WT speed and,
at the same time, to produce electricity in a normal frequency
range (10-60 Hz) [13].
Compared with electrically excited machines, PMSG have a
number of economical and technical advantages, so that they
are becoming more attractive for direct-drive WTs, these
advantages can be summarised as follows according to
literatures [3]:
 Higher efficiency and energy yield,
 No additional power supply for the magnet field
excitation,
 Improvement in the thermal characteristics of the PMM
due to the absence of the field losses,
 Higher reliability due to the absence of mechanical
components such as slip rings,
 Lighter and therefore higher power to weight ratio.
However, PMMs have some disadvantages, which can be
summarised as follows:
 Relatively new and unknown technology for applications
in larger MW-range
 High cost of PM material,
 Difficulties to handle in manufacture,
 Low material reliability in harsh atmospheric conditions
(offshore)
 Demagnetisation of PM at high temperature.
On the other hand, in recent years, the use of PMs is more
attractive than before, because the performance of PMs is
improving and the cost of PM is decreasing [14].
Currently, Zephyros (currently Harakosan) and Mitsubishi
are using this concept in 2 MW WTs in the market.
PMM are not standard off-the-shelf machines and they
Comparative Performances Analysis of Different
Rotor Types for PMSG Used in Wind Turbine
Application
H. Mellah and K.E .Hemsas.
Department of Electrical engineering Ferhat Abbas University, Sétif, Algeria
Laboratoire d’Automatique de Sétif, LAS Ferhat Abbas University, Sétif, Algeria.
has.mel@gmail.com, hemsas_ke_dz@univ-setif.dz
T
International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013
ISSN : 2335-1772
2
allow a great deal of flexibility in their geometry, so that
various topologies may be used [14].
We can notice two problems of PMSG used in wind power.
First is the inherent cogging torque due to magnet materials
naturally attractive force. This kind of torque is bad for
operation, especially stopping WT starting and making noise
and vibration in regular operation. The other one is the risk of
demagnetization because of fault happening and overheating
of magnets. This risk is very dangerous and the cost for
replacing bad magnets is much higher than the generator itself
[3].
III. PMSG DESIGN METHODOLOGY
Traditionally, the study and design of PMSGs is based on
the equivalent magnetic circuit method (EMCM). The EMCM
is of advantages of simplicity and fast computation, but its
disadvantage is also marked: it relies too much on empirical
design experience, such as flux leakage coefficient, armature
reaction factor, etc. Meanwhile, under certain circumstances,
EMCM is not competent for the analysis and design of
PMSGs. For example, EMCM cannot be employed to study
the cogging torque of PMSGs with fractional stator slots [15].
Numerical methods, such as finite-element analysis (FEA),
have been extensively used in study and design PMSGs [11-
15], Furthermore, owing to its precision and simplicity, the
two-dimensional (2-D) FEM has approximately dominated the
FEM study of PMSGs. By using FEM, many design curves
and data, such as the PMSGs’ output voltage, no-load leakage
flux coefficient, and cogging torque etc., can be obtained and
used to design PMSGs[11], In addition, many commercially
available computer-aided design (CAD) packages for PM
motor designs, such as SPEED, Rmxprt, and flux2D, require
the designer to choose the sizes of magnets. The performance
of the PM motor can be made satisfactory by constantly
adjusting the sizes of magnets and/or repeated FEA analyses
[10].
IV. PMSG GEOMETRIC DIMENSION AND DESIGN
PARAMETERS
Our goal is to see and analysis the effects of the rotors
topology on the designed generator performances, and
accurately the permanent magnets such as PM positioning,
thickness, width and bending angle, to properly isolate the
interaction PMSG phenomena, all machines are designed with
the same stator in terms of size, dimensions and materials, this
approach which makes it possible to compare machines
together.
A. Stator Topology
The operation principle of electric machines is based on the
interaction between the magnetic fields and the currents
flowing in the windings of the machine.
Fig. 1. Stator and coil structure of all designed generators.
The following table shows some common rated values,
geometric parameters of all prototype PMSGs.
TABLE I
SOME COMMON RATED VALUES, GEOMETRIC PARAMETERS OF ALL PMSG
Rated Voltage (V) 120
Outer Diameter of Stator (mm) 120
Inner Diameter of Stator (mm) 75
Number of Stator Slots 24
Number of Stator Slots 24
Length of Stator Core (Rotor) (mm) 65
Stacking Factor of Stator Core 0.95
Stacking Factor of Iron Core 0.95
Frictional Loss (W) 12
Operating Temperature (ÛC) 75
The following figure shows the b-h non linear characteristic
of the steel core both for stator and rotor.
Fig. 2. stator and rotor core B-H characteristic
B. Rotor Topologies
In this paper our study is carried out for various rotor
topologies. They are listed below:
The rotor types under study, depicted in Fig. 3, are:
Type 1: PMSG with a rotor with surface mounted thinnest
magnets with a vertical edge (SMTV-PMSG).
Type 2: PMSG with a rotor surface mounted thinnest
magnets with bending angle edge (SMTB-PMSG).
Type 3: PMSG with a rotor surface mounted thickness
magnets with bending angle edge (SMB-PMSG).
type4: PMSG with a rotor with radial arranged internal
magnets (RI-PMSG).
Type 5: PMSDG with a rotor with internal magnets (I-
PMSG).
0 1 2 3 4 5 6 7 8 9 10
0
0.2
0.4
0.6
0.8
1
1.2
1.4
1.6
1.8
2
B[tesla]
stator and rotor core B-H characteristic
H [10 K AM]
International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013
ISSN : 2335-1772
3
Fig. 3. Several rotor used in designed PMSG
Rotational Machine Expert (RMxprt) is an interactive
software package used for designing and analyzing electrical
machines, is a module of Ansoft Maxwell 12.1 [10].
The following figure shows ¼ 3D of PMSG prototype with
rotor type1.
Fig. 4. 3D view of the PMSG designed with rotor type 2.
V. SIMULATION RESULTS
The FEA model of electromagnetic field is built by
Maxwe1l2D, This simulation is obtained by Terra pc
(QuadroFX380, i7 CPU, 3.07 GHZ, 8 CPU, 4 G RAM), and
the simulation time is take some hours. Our model of PMSG
used in Maxwell environment has 19699 triangles.
Fig. 5. Power vs angle degree for several PMSG rotor type.
Fig. 5 illustrate the PMSG power for several rotor type, the
maximum PMSG power produced by the two rotors 4 and 5
do not exceed 4kw, however, the use of the rotor type 1 or 2
improve the power almost than 150%, the magnificent of all
rotor cases is the operation of PMSG with rotor type 3; where
the power produced by PMSG using the rotor type 3 is almost
three times the power in case 2.
We can say that the type rotor 3 is suitable designed to give
maximum power compared to all rotor.
-20 0 20 40 60 80 100 120 140 160 180
0
2
4
6
8
10
12
Power
ang[deg]
Power[kW]
Type 1
Type 2
Type 3
Type 4
Type 5
Type1 Type2
SMTV-PMSG SMTB-PMSG
Type3 Type 4 Type 5
SMB-PMSG RI-PMSG I-PMSG
International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013
ISSN : 2335-1772
4
Fig. 6. Induced phase voltage vs electrical degree for several PMSG rotor
type.
Fig. 6 illustrates the induced phase voltage with respect to
the electrical degree for several PMSG rotor topologies, by
comparison the rotor type 1 and type 5 give the same induced
voltage of value 182V, a small decrease of 7V (≈4%) can be
noticed for both cases 2 and 3 rotor topologies, the choice to
use the rotor type 2 or type 3 make the PMSG produce exactly
175V.
In the fourth case the PMSG produce only 167V, so a
decrease of more than 8% compared to the case 1 and 5.
Fig. 7. Efficiency with respect to angle degree for several PMSG rotor type.
Fig. 7 illustrates the efficiency with respect vs angle degree
for several PMSG rotor topologies, the curvature can be
divided in two categories; the first one is slim curves with a
significant peaks the first categories include the rotor type 1,
type and type 3, the efficiency are respectively 90%, 89.31%
and 88.06%.
The second one is wide curves with a small peak this
characteristic is really corresponding to the both rotor type
cases 4 and 5, the maximum of efficiency are 86.65% and
78.23%.
By comparison the first category has an important
efficiency greater than 70% but not for all rotor angles just for
the first 40 degree, however the second hasn’t an important
peak but guard the efficiency up 70% for more than 120
degree.
Fig. 8. Cogging torque vs electrical degree for several PMSG rotor type.
In Fig. 8, the computed cogging torque is compared for
several rotor types, we can see that the 1, 2 and 4 rotor type
produce a great peak 0,8 Nm, however a small cogging
torque is remarked in the both rotor type case 3 and 5 the
minimum value is 0,2 Nm, in all rotor cases the curvature are
similar.
We can say that the SMB-PMSG is suitable designed to
give minimum cogging torque compared to all rotor type.
Fig. 9. One coil voltage vs electrical degree for several PMSG rotor type.
Fig. 9. Show the one coil voltage vs electrical degree for
several PMSG rotor types, the rotor type 1, 2 and 3 have
almost the same curvature, but the rotor type 4 and 5 gives a
reverse voltage with substantially small amplitude.
Fig. 10. Show the flux density vs electrical degree for
several PMSG rotor topologies, the rotor type 1, 2 and 3 have
almost the same curvature, but the rotor type 4 and 5 gives a
reverse curve with substantially small amplitude.
0 50 100 150 200 250 300 350 400
-200
-150
-100
-50
0
50
100
150
200
Induced voltage vs Electrical Degree
Electrical Degree [deg]
Inducedvoltage[V]
Type 1
Type 2
Type 3
Type 4
Type 5
-20 0 20 40 60 80 100 120 140 160 180
0
10
20
30
40
50
60
70
80
90
Efficiency
ang [deg]
Efficiency[%]
Type 1
Type 2
Type 3
Type 4
Type 5
0 50 100 150 200 250 300 350 400
-1000
-800
-600
-400
-200
0
200
400
600
800
1000
Cogging torque vs Electrical Degree
Electrical Degree [deg]
Coggingtorque[mNm]
Type 1
Type 2
Type 3
Type 4
Type 5
0 50 100 150 200 250 300 350 400
-300
-200
-100
0
100
200
300
Coil Voltage vs Electrical Degree
Electrical Degree [deg]
CoilVoltage[v]
Type 1
Type 2
Type 3
Type 4
Type 5
International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013
ISSN : 2335-1772
5
Fig. 10. Flux density distribution with respect to electrical degree for several
PMSG rotor type.
VI. CONCLUSION
Finite element analysis (FEA) is a frequently used method
for analysis of electromechanical converters. As a numerical
analysis method, FEA allows for including any practical
material, external excitation, inclusion of motion, and
nonlinear effects such as magnetic saturation and eddy current
effects.
A several PMSAG rotor types are presented such as SMTV-
PMSG, SMTB-PMSG, SMB-PMSG, RI-PMSG and I-PMSG,
designed, modeled, solved and some simulation results is
given and commented.
This work is the necessary preparations for design and
development high reliability and high security of PMSG
applications.
It can be seen that each structure has these advantages and
these disadvantages, so the need of optimization is a
mandatory step for optimal results and maximized the most
PMSG performances, so in the future work we think to use
fuzzy logic or genetic algorithms.
REFERENCE
[1] H. Li, Z. Chen, "Overview of different wind generator
systems and their comparisons", IET, Renewable Power Generation,
vol. 2, pp. 123–138, 2008.
[2] J. Krotsch, B. Piepenbreier, "Radial Forces in External Rotor
Permanent Magnet Synchronous Motors With Non-Overlapping
Windings", IEEE Transactions on Industrial Electronics, vol. 59, pp.
2267-2276, May 2012.
[3] H. Mellah, K. E. Hemsas, “Simulations Analysis with
Comparative Study of a PMSG Performances for Small WT
Application by FEM,” International Journal of Energy Engineering,
vol.3, no 2, pp. 55-64, 2013.
[4] P. sergeant, F. de belie, J. melkebeek, "Rotor geometry
design of an interior permanent-magnet synchronous machine for
more accurate sensorless control", electrical machines (ICEM), xix
international conference on, pp.1–6, 6-8 Sept. 2010.
[5] İ. Tarımer, C. Ocak, "Performance Comparison of Internal
and External Rotor Structured Wind Generators Mounted from Same
Permanent Magnets on Same Geometry", Electronics and Electrical
Engineering, vol.8, Issue. 90, pp. 67–72, 2009.
[6] S. Seman, "Transient Performance Analysis of Wind-Power
Induction Generators", Doctoral theses, Helsinki University of
Technology, 2006.
[7] Z. Huiqing, C. Shiyuan, "Finite Element Analysis on Small
External Rotor Brushless DC Motor", China National Knowledge,
Micromotors, 2012.
[8] H. Torkaman, E. Afjei, A. Gorgani, N. Faraji, H. Karim, N.
Arbab, "External rotor SRM with high torque per volume: design,
analysis, and experiments", Springer-Verlag , Electrical Engineering,
November 2012.
[9] D. Xiaotian, Z. Xinyan1, Z. Jun, W. Houjun, HE. Shan,
"Finite Element Based Electromagnetic Field Simulation and
Analysis of Doubly Fed Induction Generator", China National
Knowledge, Power System Technology, 2012.
[10] H. Mellah, K.E. Hemsas, "Design and simulation analysis of
outer stator inner rotor DFIG by 2d and 3d finite element methods",
International Journal of Electrical Engineering and Technology, vol.
3, Issue. 2, pp. 457–470, July-Sept 2012.
[11] H. Mellah and K. E. Hemsas, “Design and Analysis of an
External-Rotor Internal-Stator Doubly Fed Induction Generator for
Small Wind Turbine Application by Fem,” International Journal of
Renewable and Sustainable Energy. vol. 2, no. 1, pp. 1-11, 2013.
[12] K.T.Chau, Y.B. Li, J.Z.Jiang, C. Liu, "Design and Analysis
of a Stator-Doubly-Fed Doubly-Salient Permanent-Magnet Machine
for Automotive Engines", IEEE Transactions on Magnetics, vol. 42,
Issue. 10, pp 3470 – 3472, 2006.
[13] İ. Tarımer, C. Ocak, Performance Comparison of Internal and
External Rotor Structured Wind Generators Mounted From Same
Permanent Magnets on Same Geometry, Electronics And Electrical
Engineering, Sins 1392 – 1215 2009.
[14] H. Li, Z. Chen, Overview of different wind generator
systems and their comparisons, Renewable Power Generation, IET
2007.
[15] Z. guo, L. chang, FEM Study on Permanent Magnet
Synchronous Generators for Small Wind Turbines, IEEE 2005.
0 50 100 150 200 250 300 350 400
-800
-600
-400
-200
0
200
400
600
800
Flux Density vs Electrical Degree
Electrical Degree [deg]
FluxDensity[mT]
Type 1
Type 2
Type 3
Type 4
Type 5

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Comparative performances analysis of different rotor types for pmsg used in wind turbine application

  • 1. International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013 ISSN : 2335-1772 1  Abstract—PMSG provides a high performance, compact size, light weight, and low noise, without forgetting its simple structure, high thrust, and ease of maintenance, allow replacing steam catapults in the future. Most turbine generators at low wind speed are presented PMSGs, These it has advantages of high efficiency and reliability, since there is no need of external excitation and loss of drivers are removed from the rotor. In this paper, a comparative PMSG performance study's with several rotor topology is presented, each topology rotor has its own permanent magnet structure that is width, thickness and angle. These results are obtained by finite element method (FEM); this approach is a powerful and useful tool to study and design PMSGs, as represented in this paper. Index Terms—Electrical machine, Design and simulation, Finite element, PMSG, Permanent Magnet, Rotor type, Wind Energy. I. INTRODUCTION he development of modern wind power conversion technology has been going on since 1970s, and the rapid development has been seen from 1990s. Various wind turbine concepts have been developed and different wind generators have been built [1]. In specialized literature several types of the machine was developed; we can find a PMSM with internal rotor [2-3] or with external rotor [4], even the comparative studies between the two preceding topology was made [5], Also in [6] it presents a study of interior rotor IG by FE, DC machine [7], external rotor SRM [8], in the references [9-10] we find a study of DFIG internal rotor by FE and external rotor in [11]. Even of the special structure machine like a doubly stator or doubly rotor, this special machine is intended for special applications [12]. Recent studies show a great demand for small to medium rating (up to 20 kW) wind generators for stand-alone generation-battery systems in remote areas. The type of generator for this application is required to be compact and light so that the generators can be conveniently installed at the top of the towers and directly coupled to the WTs [13]. In addition there are several reasons for using variable-speed operation of WTs; the advantages are reduced mechanical stress and optimized power capture. Because of the variable speed operation, the direct-drive PMSG system can produce 5–10% more energy than the fixed two-speed concept, or 10– 15% more than the fixed single-speed concept [14]. II. PMSG IN WIND TURBINE APPLICATION Compared to a conventional, gearbox coupled WT generator, directly coupled generators has a series of advantages, such as a much reduced size of the overall system, a rather low installation and maintenance cost, flexible control method, quick response to the wind fluctuation and load variations, etc. However, a directly coupled generator needs to have a very low-speed operation to match the WT speed and, at the same time, to produce electricity in a normal frequency range (10-60 Hz) [13]. Compared with electrically excited machines, PMSG have a number of economical and technical advantages, so that they are becoming more attractive for direct-drive WTs, these advantages can be summarised as follows according to literatures [3]:  Higher efficiency and energy yield,  No additional power supply for the magnet field excitation,  Improvement in the thermal characteristics of the PMM due to the absence of the field losses,  Higher reliability due to the absence of mechanical components such as slip rings,  Lighter and therefore higher power to weight ratio. However, PMMs have some disadvantages, which can be summarised as follows:  Relatively new and unknown technology for applications in larger MW-range  High cost of PM material,  Difficulties to handle in manufacture,  Low material reliability in harsh atmospheric conditions (offshore)  Demagnetisation of PM at high temperature. On the other hand, in recent years, the use of PMs is more attractive than before, because the performance of PMs is improving and the cost of PM is decreasing [14]. Currently, Zephyros (currently Harakosan) and Mitsubishi are using this concept in 2 MW WTs in the market. PMM are not standard off-the-shelf machines and they Comparative Performances Analysis of Different Rotor Types for PMSG Used in Wind Turbine Application H. Mellah and K.E .Hemsas. Department of Electrical engineering Ferhat Abbas University, Sétif, Algeria Laboratoire d’Automatique de Sétif, LAS Ferhat Abbas University, Sétif, Algeria. has.mel@gmail.com, hemsas_ke_dz@univ-setif.dz T
  • 2. International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013 ISSN : 2335-1772 2 allow a great deal of flexibility in their geometry, so that various topologies may be used [14]. We can notice two problems of PMSG used in wind power. First is the inherent cogging torque due to magnet materials naturally attractive force. This kind of torque is bad for operation, especially stopping WT starting and making noise and vibration in regular operation. The other one is the risk of demagnetization because of fault happening and overheating of magnets. This risk is very dangerous and the cost for replacing bad magnets is much higher than the generator itself [3]. III. PMSG DESIGN METHODOLOGY Traditionally, the study and design of PMSGs is based on the equivalent magnetic circuit method (EMCM). The EMCM is of advantages of simplicity and fast computation, but its disadvantage is also marked: it relies too much on empirical design experience, such as flux leakage coefficient, armature reaction factor, etc. Meanwhile, under certain circumstances, EMCM is not competent for the analysis and design of PMSGs. For example, EMCM cannot be employed to study the cogging torque of PMSGs with fractional stator slots [15]. Numerical methods, such as finite-element analysis (FEA), have been extensively used in study and design PMSGs [11- 15], Furthermore, owing to its precision and simplicity, the two-dimensional (2-D) FEM has approximately dominated the FEM study of PMSGs. By using FEM, many design curves and data, such as the PMSGs’ output voltage, no-load leakage flux coefficient, and cogging torque etc., can be obtained and used to design PMSGs[11], In addition, many commercially available computer-aided design (CAD) packages for PM motor designs, such as SPEED, Rmxprt, and flux2D, require the designer to choose the sizes of magnets. The performance of the PM motor can be made satisfactory by constantly adjusting the sizes of magnets and/or repeated FEA analyses [10]. IV. PMSG GEOMETRIC DIMENSION AND DESIGN PARAMETERS Our goal is to see and analysis the effects of the rotors topology on the designed generator performances, and accurately the permanent magnets such as PM positioning, thickness, width and bending angle, to properly isolate the interaction PMSG phenomena, all machines are designed with the same stator in terms of size, dimensions and materials, this approach which makes it possible to compare machines together. A. Stator Topology The operation principle of electric machines is based on the interaction between the magnetic fields and the currents flowing in the windings of the machine. Fig. 1. Stator and coil structure of all designed generators. The following table shows some common rated values, geometric parameters of all prototype PMSGs. TABLE I SOME COMMON RATED VALUES, GEOMETRIC PARAMETERS OF ALL PMSG Rated Voltage (V) 120 Outer Diameter of Stator (mm) 120 Inner Diameter of Stator (mm) 75 Number of Stator Slots 24 Number of Stator Slots 24 Length of Stator Core (Rotor) (mm) 65 Stacking Factor of Stator Core 0.95 Stacking Factor of Iron Core 0.95 Frictional Loss (W) 12 Operating Temperature (ÛC) 75 The following figure shows the b-h non linear characteristic of the steel core both for stator and rotor. Fig. 2. stator and rotor core B-H characteristic B. Rotor Topologies In this paper our study is carried out for various rotor topologies. They are listed below: The rotor types under study, depicted in Fig. 3, are: Type 1: PMSG with a rotor with surface mounted thinnest magnets with a vertical edge (SMTV-PMSG). Type 2: PMSG with a rotor surface mounted thinnest magnets with bending angle edge (SMTB-PMSG). Type 3: PMSG with a rotor surface mounted thickness magnets with bending angle edge (SMB-PMSG). type4: PMSG with a rotor with radial arranged internal magnets (RI-PMSG). Type 5: PMSDG with a rotor with internal magnets (I- PMSG). 0 1 2 3 4 5 6 7 8 9 10 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 B[tesla] stator and rotor core B-H characteristic H [10 K AM]
  • 3. International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013 ISSN : 2335-1772 3 Fig. 3. Several rotor used in designed PMSG Rotational Machine Expert (RMxprt) is an interactive software package used for designing and analyzing electrical machines, is a module of Ansoft Maxwell 12.1 [10]. The following figure shows ¼ 3D of PMSG prototype with rotor type1. Fig. 4. 3D view of the PMSG designed with rotor type 2. V. SIMULATION RESULTS The FEA model of electromagnetic field is built by Maxwe1l2D, This simulation is obtained by Terra pc (QuadroFX380, i7 CPU, 3.07 GHZ, 8 CPU, 4 G RAM), and the simulation time is take some hours. Our model of PMSG used in Maxwell environment has 19699 triangles. Fig. 5. Power vs angle degree for several PMSG rotor type. Fig. 5 illustrate the PMSG power for several rotor type, the maximum PMSG power produced by the two rotors 4 and 5 do not exceed 4kw, however, the use of the rotor type 1 or 2 improve the power almost than 150%, the magnificent of all rotor cases is the operation of PMSG with rotor type 3; where the power produced by PMSG using the rotor type 3 is almost three times the power in case 2. We can say that the type rotor 3 is suitable designed to give maximum power compared to all rotor. -20 0 20 40 60 80 100 120 140 160 180 0 2 4 6 8 10 12 Power ang[deg] Power[kW] Type 1 Type 2 Type 3 Type 4 Type 5 Type1 Type2 SMTV-PMSG SMTB-PMSG Type3 Type 4 Type 5 SMB-PMSG RI-PMSG I-PMSG
  • 4. International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013 ISSN : 2335-1772 4 Fig. 6. Induced phase voltage vs electrical degree for several PMSG rotor type. Fig. 6 illustrates the induced phase voltage with respect to the electrical degree for several PMSG rotor topologies, by comparison the rotor type 1 and type 5 give the same induced voltage of value 182V, a small decrease of 7V (≈4%) can be noticed for both cases 2 and 3 rotor topologies, the choice to use the rotor type 2 or type 3 make the PMSG produce exactly 175V. In the fourth case the PMSG produce only 167V, so a decrease of more than 8% compared to the case 1 and 5. Fig. 7. Efficiency with respect to angle degree for several PMSG rotor type. Fig. 7 illustrates the efficiency with respect vs angle degree for several PMSG rotor topologies, the curvature can be divided in two categories; the first one is slim curves with a significant peaks the first categories include the rotor type 1, type and type 3, the efficiency are respectively 90%, 89.31% and 88.06%. The second one is wide curves with a small peak this characteristic is really corresponding to the both rotor type cases 4 and 5, the maximum of efficiency are 86.65% and 78.23%. By comparison the first category has an important efficiency greater than 70% but not for all rotor angles just for the first 40 degree, however the second hasn’t an important peak but guard the efficiency up 70% for more than 120 degree. Fig. 8. Cogging torque vs electrical degree for several PMSG rotor type. In Fig. 8, the computed cogging torque is compared for several rotor types, we can see that the 1, 2 and 4 rotor type produce a great peak 0,8 Nm, however a small cogging torque is remarked in the both rotor type case 3 and 5 the minimum value is 0,2 Nm, in all rotor cases the curvature are similar. We can say that the SMB-PMSG is suitable designed to give minimum cogging torque compared to all rotor type. Fig. 9. One coil voltage vs electrical degree for several PMSG rotor type. Fig. 9. Show the one coil voltage vs electrical degree for several PMSG rotor types, the rotor type 1, 2 and 3 have almost the same curvature, but the rotor type 4 and 5 gives a reverse voltage with substantially small amplitude. Fig. 10. Show the flux density vs electrical degree for several PMSG rotor topologies, the rotor type 1, 2 and 3 have almost the same curvature, but the rotor type 4 and 5 gives a reverse curve with substantially small amplitude. 0 50 100 150 200 250 300 350 400 -200 -150 -100 -50 0 50 100 150 200 Induced voltage vs Electrical Degree Electrical Degree [deg] Inducedvoltage[V] Type 1 Type 2 Type 3 Type 4 Type 5 -20 0 20 40 60 80 100 120 140 160 180 0 10 20 30 40 50 60 70 80 90 Efficiency ang [deg] Efficiency[%] Type 1 Type 2 Type 3 Type 4 Type 5 0 50 100 150 200 250 300 350 400 -1000 -800 -600 -400 -200 0 200 400 600 800 1000 Cogging torque vs Electrical Degree Electrical Degree [deg] Coggingtorque[mNm] Type 1 Type 2 Type 3 Type 4 Type 5 0 50 100 150 200 250 300 350 400 -300 -200 -100 0 100 200 300 Coil Voltage vs Electrical Degree Electrical Degree [deg] CoilVoltage[v] Type 1 Type 2 Type 3 Type 4 Type 5
  • 5. International Journal of Advances in Power Systems (IJAPS) Vol. 1, No. 1, June 2013 ISSN : 2335-1772 5 Fig. 10. Flux density distribution with respect to electrical degree for several PMSG rotor type. VI. CONCLUSION Finite element analysis (FEA) is a frequently used method for analysis of electromechanical converters. As a numerical analysis method, FEA allows for including any practical material, external excitation, inclusion of motion, and nonlinear effects such as magnetic saturation and eddy current effects. A several PMSAG rotor types are presented such as SMTV- PMSG, SMTB-PMSG, SMB-PMSG, RI-PMSG and I-PMSG, designed, modeled, solved and some simulation results is given and commented. This work is the necessary preparations for design and development high reliability and high security of PMSG applications. It can be seen that each structure has these advantages and these disadvantages, so the need of optimization is a mandatory step for optimal results and maximized the most PMSG performances, so in the future work we think to use fuzzy logic or genetic algorithms. REFERENCE [1] H. Li, Z. Chen, "Overview of different wind generator systems and their comparisons", IET, Renewable Power Generation, vol. 2, pp. 123–138, 2008. [2] J. Krotsch, B. Piepenbreier, "Radial Forces in External Rotor Permanent Magnet Synchronous Motors With Non-Overlapping Windings", IEEE Transactions on Industrial Electronics, vol. 59, pp. 2267-2276, May 2012. [3] H. Mellah, K. E. Hemsas, “Simulations Analysis with Comparative Study of a PMSG Performances for Small WT Application by FEM,” International Journal of Energy Engineering, vol.3, no 2, pp. 55-64, 2013. [4] P. sergeant, F. de belie, J. melkebeek, "Rotor geometry design of an interior permanent-magnet synchronous machine for more accurate sensorless control", electrical machines (ICEM), xix international conference on, pp.1–6, 6-8 Sept. 2010. [5] İ. Tarımer, C. Ocak, "Performance Comparison of Internal and External Rotor Structured Wind Generators Mounted from Same Permanent Magnets on Same Geometry", Electronics and Electrical Engineering, vol.8, Issue. 90, pp. 67–72, 2009. [6] S. Seman, "Transient Performance Analysis of Wind-Power Induction Generators", Doctoral theses, Helsinki University of Technology, 2006. [7] Z. Huiqing, C. Shiyuan, "Finite Element Analysis on Small External Rotor Brushless DC Motor", China National Knowledge, Micromotors, 2012. [8] H. Torkaman, E. Afjei, A. Gorgani, N. Faraji, H. Karim, N. Arbab, "External rotor SRM with high torque per volume: design, analysis, and experiments", Springer-Verlag , Electrical Engineering, November 2012. [9] D. Xiaotian, Z. Xinyan1, Z. Jun, W. Houjun, HE. Shan, "Finite Element Based Electromagnetic Field Simulation and Analysis of Doubly Fed Induction Generator", China National Knowledge, Power System Technology, 2012. [10] H. Mellah, K.E. Hemsas, "Design and simulation analysis of outer stator inner rotor DFIG by 2d and 3d finite element methods", International Journal of Electrical Engineering and Technology, vol. 3, Issue. 2, pp. 457–470, July-Sept 2012. [11] H. Mellah and K. E. Hemsas, “Design and Analysis of an External-Rotor Internal-Stator Doubly Fed Induction Generator for Small Wind Turbine Application by Fem,” International Journal of Renewable and Sustainable Energy. vol. 2, no. 1, pp. 1-11, 2013. [12] K.T.Chau, Y.B. Li, J.Z.Jiang, C. Liu, "Design and Analysis of a Stator-Doubly-Fed Doubly-Salient Permanent-Magnet Machine for Automotive Engines", IEEE Transactions on Magnetics, vol. 42, Issue. 10, pp 3470 – 3472, 2006. [13] İ. Tarımer, C. Ocak, Performance Comparison of Internal and External Rotor Structured Wind Generators Mounted From Same Permanent Magnets on Same Geometry, Electronics And Electrical Engineering, Sins 1392 – 1215 2009. [14] H. Li, Z. Chen, Overview of different wind generator systems and their comparisons, Renewable Power Generation, IET 2007. [15] Z. guo, L. chang, FEM Study on Permanent Magnet Synchronous Generators for Small Wind Turbines, IEEE 2005. 0 50 100 150 200 250 300 350 400 -800 -600 -400 -200 0 200 400 600 800 Flux Density vs Electrical Degree Electrical Degree [deg] FluxDensity[mT] Type 1 Type 2 Type 3 Type 4 Type 5