Abstract:
DC drive systems continue to provide flexible,
reliable and low-cost solution to the vast majority of
variable-speed industrial applications. Their use in
conjunction with thyristor schemes has further upgraded
the utility of such drive systems. One such scheme often
used in industry requiring first quadrant operation con
sists of a semiconverter controlled dc motor. A precise
analysis of such a drive system is therefore desirable
as it leads to a better understanding of the system op
eration and may enable improvements in the system design.
The present study is an effort in this direction.
Performance of an electromechanical drive system is
not only affected by its electrical parameters, but also by
various mechanical factors such as shaft elasticity, mecha
nical misaligament, pulsating load etc. Influence of these
mechanical factors on the performance cf semiconverter con
trolled drives, therefore, needs to be investigated.
No analytical methods have been reported so far, for
computing the transient and steady state performance of
single-phase or three phase semiconverter drives with speed
treated as a variable. The solutions of such systems have
been obtained either through the use of numerical methods or
through the use of analytical methods, which require iterative
steps and assume speed to be constant over a converter
cycle. General closed- form solutions applicable for tran
sient as well as steady state conditions with speed treated
as a variable are not available. The aim of the present thesis
is to overcome these shortcomings.
In order to achieve this objective, a new technique
for the analysis of separately excited dc motor fed through
single-phase and three-phase semiconverters is presented in
this dissertation. For the purpose of analysis, the system is
taken to consist of a separately excited dc motor controlled
through a single-phase or three-phase semiconverter. The
motor is coupled to the load by two elastic shafts and the
speed-reduction gears. The load is considered to have a periodic
torque profile. The output voltage of single phase semiconverter
and three phase semiconverter with three-pulse mode of opera
tion, which are discontinuous but periodic, are expressed as a
superposition of a number of sections of sine waves with
appropriate time displacements. The output voltage of a three
phase semiconverter with six-pulse mode of operation is
expressed as a sum of two component voltages and each of these
components is further expressed as a sum of a number of sine
wave components with appropriate time displacements. The
mechanical system is represented by an equivalent two-mass
system for the purpose of analysis. With such representations
of the electrical and mechanical systems, the equations des
cribing the system are solved to obtain closed-form expressions
for the system variables for transient and steady state conditions.
VI
For three phase semiconverter with six-pulse mode operation,
two sets of solutions obtained for each of the two component
voltages are superimposed to yield the complete solution. The
analysis is carried out first with constant and periodically
varying load torque but with rigid coupling and subsequently
the effect of shaft elasticity is included. The special
features of the presented technique are:
(i) Only one set of differential equations, as compared
to two sets used by earlier investigators, is needed
to describe the system during conduction and freewheeling
periods.
(ii) Values of system variables corresponding to steady
state conditions can be computed without passing through
the transient period,
(iii) Transient solution during any converter cycle can be
obtained without working through the preceding converter
cycles.
(iv) Closed form expressions give the values of system
variables directly without iterative calculations.
(v) The solutions for system variables, being in closed
form, provide better insight into the system perfor
mance,
(vi) Solutions are more accurate as speed is not assumed to
be constant.
The proposed techniques are illustrated by examples
and the results are verified by numerical (Runge-Kutta fourth
order) method. Performance of single-phase and three-phase
semiconverter drives without shaft elasticity is studied for
constant and periodically varying load torques and inferences
regarding current and speed pulsations as well as settling
time of the system are drawn.
The techniques presented above have also been used
for computing the performance of semiconverter dc drives under
conditions of step load changes and pulse type periodic load
torques. Effects of some parameters on the performance of such
drives are discussed.
The method presented in this dissertation has the
limitation that it is applicable for continuous conduction of
the armature current.
Typical performance studies on a separately excited
dc motor with elastic coupling and periodically varying load
torque are carried out and useful inferences are drawn. It is
shown that when the alternating component of load torque has
a frequency approaching the system natural frequency associated
with low damping ratio, the system experiences resonance.
Suggestions are made so as to avoid the occurrence of such
situations.
It is hoped that the work presented in this thesis will
be useful for predicting the performance of such drives more
precisely and will help in improving the system design.