978-1-4244-9074-5/10/$26.00 ©2010 IEEE 2010 Annual IEEE India Conference (INDICON)
Modeling and Estimation of Core Losses for Doubly-
fed Wound Rotor Induction Machine
Krishna Roy
#1
, Debashis Chatterjee
#2
, A. K. Ganguli
#3
#
Electrical Engg. Department, Jadavpur University, Kolkata, India
1
krishna_004@sify.com
2
dchatterjee@ee.jdvu.ac.in
3
akganguly@ee.jdvu.ac.in
Abstract— Wound-rotor induction motor drive fed from
inverters on both the stator and rotor side is discussed. The
sensorless control scheme for the motor requires a V/f-type
direct frequency control preferably on the rotor side, with either
vector control or direct torque control on the stator side.
Selection of any frequency for the rotor side inverter keeping the
rotor flux constant is possible. This rotor frequency will decide
the selection of the stator side frequency. In this paper, a study
on core loss at different rotor injected frequencies is carried out
at different loads. Also to operate the motor at an optimum
efficiency during any loading condition, a method for correct
selection of stator and rotor frequency is studied. It is also shown
that core losses constitute a considerable amount of the total
losses and hence should not be neglected for the sake of
efficiency. Experimental results on a real machine are presented
in support of the proposed concept.
Keywords— Doubly fed induction motor, sensorless control, core
loss, wound rotor machine, stator flux and rotor flux.
I. INTRODUCTION
ENSORLESS rotor flux oriented control (RFOC) of
induction machines requires correct estimation of stator
and rotor fluxes over the entire controlled speed range. At
lower input frequencies estimation of stator through
normal integration method leads to saturation and DC
offset problems for the integrators [1]-[3]. Moreover,
estimation of the stator flux at lower input speeds is very
much affected by motor parameter variation problems [4]-
[6]. A number of works have already been carried out to
avoid this problem [1]-[3], [8]. But most of these methods
involve extended computational efforts and also are not
completely error free. The wound-rotor induction motor
with control on both stator and rotor sides of the machine
can be employed as one of the solutions to the problem [7]-
[11] with an additional advantage of more flexibility of the
drive. In this scheme both the stator and rotor can be
operated at higher frequencies for both sub-synchronous
and super-synchronous operation. When operating in the
super-synchronous mode, 2.0 p.u. power can be extracted
from the machine. Thus the above mentioned problem to
operate the machine at lower frequencies can be avoided
as the input frequencies for both the rotor and stator are
high in this mode of operation. Also the rotor-side inverter
can be used to supply the full magnetizing current, so that
the grid-connected stator side inverter always operates at
unity-power-factor mode. Thus, this drive can operate at
unity power factor throughout its operating region at the
stator side. For this drive, the rotor side inverter
frequency will decide the slip frequency when operated in
the sub-synchronous or super-synchronous region. Thus,
higher frequencies will introduce increased amount of core
losses in the rotor of the machine. This will cause over
heating of the rotor during its operation necessitating the
requirement for derating the machine. In this paper a
modeling for core losses with variable rotor frequencies is
presented and motor efficiency is plotted as a function of
rotor speed. Based on the developed model, a modified
selection of rotor speed with rotor frequency is proposed
for reducing rotor core loss and extending the motor
output capacity upto 2.0 p.u. for super-synchronous
operation. Experimental results are presented to validate
the proposed concept.
II. DOUBLY-FED WOUND ROTOR INDUCTION MACHINE
MODELING
The stator and rotor voltage equations in synchronous d-q
reference frame can be written as,
sd
sd s sd e sq
d
V ri
dt
ψ
= + -ω ψ (1)
sq
sq s sq e sd
d
V ri
dt
ψ
= + +ω ψ (2)
rd
rd r rd sl rq
d
V ri
dt
ψ
= + -ω ψ (3)
rq
rq r rq sl rd
d
V ri
dt
ψ
= + +ω ψ (4)
Alignment of the synchronous reference frame with the rotor
flux axis gives,
rq
rd r
0 ψ =
ψ = ψ
(5)
r
rd r rd
d
V ri
dt
ψ
= + (6)
S