the bulk of failures occur as a result of a violation of
their thermal state. About 85-95% of ATED failures
are caused by various damage to the insulation of
their windings. Also, the residual life of ATED
depends on the operating temperatures and thermal
characteristics of the materials of its elements. In this
regard, solving the problem of accurately assessing
the temperature parameters of ATED elements will
provide an opportunity to develop relevant solutions
to increase the probability of trouble-free operation of
traction electric machines.
2 MATERIALS AND METHODS
Due to the design features of the underbody of diesel
locomotives, the dimensions of traction motors are
strictly limited, which causes higher operating
temperatures of the windings and, as a result, aging of
the insulation. Thermal calculations, which are used
to analyze the temperature rise of armatures of DC
traction motors and rotors of asynchronous electrical
machines, are often based on the assumption that the
winding, consisting of insulation and conductor, is a
homogeneous body with an average thermal
conductivity. This assumption can lead to a
significant error in the results of thermal calculations
(Agunov, 2017; Trianni, 2019; Filippov, 1974).
For thermal calculations of traction electric
machines, the finite element method is suitable,
which allows you to create thermal diagrams for
complex solid structures. This method is based on the
approximation of continuous functions by discrete
simulation. This modeling consists in dividing the
object with a grid that repeats the shape of the body;
therefore, the error of this method is very small
(Dvorkin, 2017). Previously, the use of this method
was difficult due to the need to process a huge number
of finite elements, but with the development of
electronic computing technology, such problems can
be solved.
The main advantage of the finite element method
is the ability to move away from the usual
approximate calculations based on thermal equivalent
circuits, as well as move away from the simplified
representations of the classical theory of heating a
homogeneous body. It should also be noted that it is
possible to analyze non-stationary processes of heat
conduction.
The finite element method is also used to predict
the internal temperatures of ATEDs with a large
number of parts in the design. When creating thermal
models, the following assumptions were made:
− the flow of cooling air inside the ATED moves
along the axis of the rotor through the
ventilation ducts and through the air gap, the
temperature of the cooling air changes linearly:
− heat removal on the surfaces of the ATED
housing and bearing assemblies, as well as on
the end surfaces of the rotor sheets due to its
insignificant value, is not taken into account;
− fragments of the rotor are divided into volumes
where the thermophysical properties of the
materials are the same.
Thermal conductivity is the process of heat
propagation with direct contact of individual parts of
electrical machines or its individual sections,
characterized by temperatures.
When taking into account the assumptions, the
finite element model of ATED, built in the form of a
grid, will have the following differential equation in
matrix form:
СT + KT = Q (1)
Where T is the nodal temperature vector of the
finite element mesh, K is the finite element matrix
corresponding to thermal conductivity, C is the finite
element matrix corresponding to thermal
conductivity, Q is the internal heat release vector.
In the air gap between the rotor and the stator, heat
transfer and convective heat transfer will occur. To
obtain effective thermal conductivity, the rotor is
represented as a concentric rotating cylinder.
The convection heat exchange between the stator and
the rotor, represented by rotating cylinders, can be
calculated using the Reynolds, Taylor and Nusselt
numbers. The initial data for modeling the thermal
state of the ATED will be: the temperature of the
cooling air, heat transfer coefficients, rotor speeds
and current values. These parameters are decisive
when creating thermal models.
3 RESEARCH RESULTS
To analyze thermal processes in the ATED rotor by
the finite element method, a solid model of an electric
motor of the DAT type was built in the SolidWorks
software package. Traction electric motors of the
DAT type are installed both on mainline (510 kW
power) and shunting diesel locomotives (305 kW
power).
The rotor of this traction motor consists of an
adapter sleeve on which a core of laminated sheets of
electrical steel 0.5 mm thick is installed. The grooves
of the core are filled with aluminum. Aluminum rods
are connected to short-circuited rings. The rotor shaft