Design and Analysis Framework for Linear
Permanent Magnet Machines
David L. Trumper, Won-jong Kim, and Mark E. Williams
Laboratory for Manufacturing and Productivity
Massachusetts Institute of Technology
Cambridge, MA 02139
Abstract
This paper presents a
IEEE TRANSACTIONS ON ENERGY CONVERSION, VOL. 25, NO. 2, JUNE 2010
381
Optimization of Magnet Segmentation for Reduction
of Eddy-Current Losses in Permanent Magnet
Synchronous Machine
Wan-Ying Huang, Adel Bettayeb, Robert Kaczmarek, and Jean-Claude Vannier
The 2014 International Power Electronics Conference
Predictive Indirect Matrix Converter Fed Torque
Ripple Minimization with Weighting Factor
Optimization
Marco Rivera
Department of Industrial
Technologies
Universidad de Talca
Curico, Chile
marcoesteban@g
Optimization of Linear Flux Switching Permanent
Magnet Motor
W. Min1,2, J. T. Chen2, Z. Q. Zhu2, Y.Zhu1,G. H. Duan1
Institute of Manufacturing Engineering, Department of Precision Instruments and Mechanology,
Tsinghua University, Beijing, 100084, China.
2
Magnet Arrays for Synchronous Machines
David L. Trumper
Mark E. Williams
Tiep H.Nguyen
Electrical Engineering Department
University of North Carolina at Charlotte
Charlotte, NC 28225
Abstract
ops results for the power-optimum thickness of the stator
windi
448
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Performance Optimization in Switched Reluctance
Motor Drives With Online Commutation Angle
Control
Christos Mademlis, Associate Member, IEEE, and Iordanis Kioskeridis
AbstractThe p
CIRP Annals - Manufacturing Technology 57 (2008) 403406
Contents lists available at ScienceDirect
CIRP Annals - Manufacturing Technology
journal homepage: http:/ees.elsevier.com/cirp/default.asp
Accurate motion control of xy high-speed linear drives using
IEEE TRANSACTIONS ON MAGNETICS, VOL. 48, NO. 2, FEBRUARY 2012
1039
Optimal Design of a Permanent Magnet Linear Synchronous
Motor With Low Cogging Force
Chang-Chou Hwang1 , Ping-Lun Li2 , and Cheng-Tsung Liu3
Department of Electrical Engineering, Feng Chia
1846
IEEE TRANSACTIONS ON APPLIED SUPERCONDUCTIVITY, VOL. 14, NO. 2, JUNE 2004
Improvement of Transverse Flux Linear Induction
Motors Performances With Third Order Harmonics
Current Injection
Yuichiro Nozaki, Jumpei Baba, Member, IEEE, Katsuhiko Shutoh, a
INVITED
PAPER
Optimizing Operation of
Segmented Stator Linear
Synchronous Motors
The operating efficiency of a segmented urban transit system can be optimized
by separately controlling the current in each system segment.
By Brian M. Perreault
ABSTRACT
| L
NEW ZEALAND DIPLOMA IN ENGINEERING
(Electrical)
DE6101: Engineering Management
Assignment 1 (DE6101-A1-01)
Student Name:
Student ID:
Time Allowed:
2 Weeks
Total Marks:
100
IMPORTANT NOTES:
1. If for any serious and unpreventable reason you are unable to m
Section 1.2
1.2 Vector Spaces
The notion of the vector presented in the previous section is here re-cast in a more formal
and abstract way. This might seem at first to be unnecessarily complicating matters, but
this approach turns out to be helpful in uni
Section 1.1
1.1 Vector Algebra
1.1.1
Scalars
A physical quantity which is completely described by a single real number is called a
scalar. Physically, it is something which has a magnitude, and is completely described
by this magnitude. Examples are tempe
Section 1.3
1.3 Cartesian Vectors
So far the discussion has been in symbolic notation1, that is, no reference to axes or
components or coordinates is made, implied or required. The vectors exist
independently of any coordinate system. It turns out that mu
Section 1.4
1.4 Matrices and Element Form
1.4.1
Matrix Matrix Multiplication
In the next section, 1.5, regarding vector transformation equations, it will be necessary
to multiply various matrices with each other (of sizes 3 1 , 1 3 and 3 3 ). It will be
h
Section 1.5
1.5 Coordinate Transformation of Vector Components
Very often in practical problems, the components of a vector are known in one coordinate
system but it is necessary to find them in some other coordinate system.
For example, one might know th
Section 1.6
1.6 Vector Calculus 1 - Differentiation
Calculus involving vectors is discussed in this section, rather intuitively at first and more
formally toward the end of this section.
1.6.1
The Ordinary Calculus
Consider a scalar-valued function of a s
Section 1.7
1.7 Vector Calculus 2 - Integration
1.7.1
Ordinary Integrals of a Vector
A vector can be integrated in the ordinary way to produce another vector, for example
2
cfw_(t t )e
2
1
1
1.7.2
5
15
+ 2t 2 e 2 3e 3 dt = e1 + e 2 3e 3
6
2
Line Integra
Section 1.8
1.8 Tensors
Here the concept of the tensor is introduced. Tensors can be of different orders zerothorder tensors, first-order tensors, second-order tensors, and so on. Apart from the zeroth
and first order tensors (see below), the second-order
Section 1.9
1.9 Cartesian Tensors
As with the vector, a (higher order) tensor is a mathematical object which represents
many physical phenomena and which exists independently of any coordinate system. In
what follows, a Cartesian coordinate system is used
Section 1.10
1.10 Special Second Order Tensors & Properties of
Second Order Tensors
In this section will be examined a number of special second order tensors, and special
properties of second order tensors, which play important roles in tensor analysis. T
Section 1.11
1.11 The Eigenvalue Problem and Polar Decomposition
1.11.1
Eigenvalues, Eigenvectors and Invariants of a Tensor
Consider a second-order tensor A. Suppose that one can find a scalar and a (non-zero)
normalised, i.e. unit, vector n such that
An
Section 1.12
1.12 Higher Order Tensors
In this section are discussed some important higher (third and fourth) order tensors.
1.12.1
Fourth Order Tensors
After second-order tensors, the most commonly encountered tensors are the fourth order
tensors A , whi
Section 1.13
1.13 Coordinate Transformation of Tensor Components
It has been seen in 1.5.2 that the transformation equations for the components of a vector
are u i = Qij u j , where [Q ] is the transformation matrix. Note that these Qij s are not the
comp
Section 1.14
1.14 Tensor Calculus I: Tensor Fields
In this section, the concepts from the calculus of vectors are generalised to the calculus of
higher-order tensors.
1.14.1
Tensor-valued Functions
Tensor-valued functions of a scalar
The most basic type o
Section 1.15
1.15 Tensor Calculus 2: Tensor Functions
1.15.1
Vector-valued functions of a vector
Consider a vector-valued function of a vector
a = a(b),
ai = ai (b j )
This is a function of three independent variables b1 , b2 , b3 , and there are nine par
Section 1.16
1.16 Curvilinear Coordinates
Up until now, a rectangular Cartesian coordinate system has been used, and a set of
orthogonal unit base vectors e i has been employed as the basis for representation of
vectors and tensors. This basis is independ
Section 1.17
1.17 Curvilinear Coordinates: Transformation Laws
1.17.1
Coordinate Transformation Rules
Suppose that one has a second set of curvilinear coordinates ( 1 , 2 , 3 ) , with
i = i ( 1 , 2 , 3 ),
i = i (1 , 2 , 3 )
(1.17.1)
By the chain rule, t
Section 1.18
1.18 Curvilinear Coordinates: Tensor Calculus
1.18.1
Differentiation of the Base Vectors
Differentiation in curvilinear coordinates is more involved than that in Cartesian
coordinates because the base vectors are no longer constant and their
Section 1.19
1.19 Curvilinear Coordinates: Curved Geometries
In this section is examined the special case of a two-dimensional curved surface.
1.19.1
Monoclinic Coordinate Systems
Base Vectors
A curved surface can be defined using two covariant base vecto