Embedded controlled four switch three phase inverter fed induction motor.
Saravanasundaram, S. ; Thanushkodi, K.
Introduction
In recent years, the alarming increase of the emissions of green
house gases associated with the drain in time of fuel reserves make it
urgent the substitution of thermal propulsion systems by electric or
hybrid propulsion ones. The latter are currently considered as a mature
technology as far as the electric propulsion systems are penalized by
the short autonomy of the battery pack. Nevertheless, hybrid propulsion
systems require further improvements in order to reach a large-scale
market integration. Our particular interest is to reduce the cost.
Many Research and development projects focusing the cost reduction
of hybrid propulsion systems are presently developed. Within this trend,
the paper deals with the implementation of the rotor flux--oriented
control (RFOC) in the induction motor fed by a current--regulated
four--switch three--phase voltage inverter (CR-FSTPI). The reduction of
the number of power switches from six to four improves the
cost--effectiveness, the volume--compactness and the reliability. The
principle of field orientation as applied to new transvector closed loop
system is presented in [2] and [3]. The concept of vector controlled AC
drive is presented in [4]. New space vector PWM strategy for a low cost
three phase inverter fed induction motor drive is given in [5]. Flux
tracking methods for direct field orientation is presented in [6]. The
principles of vector control and field orientation are furnished in [7].
A new synchronous current regulator and analysis of PWM regulator is
depicted in [8]. Comparative investigation of three phase induction
motor under different control options is given in [9].
Following a brief recall of the formulation of the RFOC, the
principle of operation of the Four Switch Three Phase Inverter (FSTPI)
is described. Then, the implementation scheme of the RFOC in the
CR-FSTPI is presented. In order to model as accurately as possible the
drive considering its integration in automotive applications, an
electric equivalent circuit of the battery pack supplying the FSTPI is
taken into account. For the sake of comparison, the dynamic and steady
state performance of the FSTPI-fed induction motor drive are referred to
the ones of the conventional six-switch three-phase inverter (SSTPI)-fed
induction motor drive. In the literature [1] to [9], the Matlab
simulation model and embedded implementation of FSTPI are not presented.
In the present work, Matlab simulation model is developed and the same
is used for simulation. The hardware implementation of FSTPI is also
presented.
[FIGURE 1 OMITTED]
Problem formulation
The induction motor model is expressed assuming that the direct
axis of the ([d.sub.1]q) plane is held by the rotor flux
([[PHI].sub.r]=[[PHI].sub.dr] and [[PHI].sub.qr] = 0). In this case, the
control of the induction motor turns to be simple similar to the DC
motor one.
Under RFOC strategy, induction motor electrical equations are
expressed as follows by [2], [3], [6] and [7].
Voltage Equations:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (1)
Flux Equations:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (2)
The expression of the electromagnetic torque [T.sub.em] is reduced
to By [2],[3],[6],and[7].
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (3)
Substituting the direct rotor current [i.sub.dr] of equation (2)
into the expression of [[PHI].sub.r] given by equation (1) yields
By [2],[3],[6] and [7].
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (4)
Where [T.sub.r], is the rotor time constant, such that:
[T.sub.r] = [l.sub.r]/[r.sub.r] (5)
and [rho] is the Laplace operator.
The Stator electric angle [[theta].sub.s] can be expressed as:
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (6)
Where [[OMEGA].sub.m] is the mechanical speed and P is the pole
pair number
The rotor angular frequency [[omega].sub.r] can be expressed is
terms [[PHI].sub.r] and [i.sub.qs] as follows By [2],[3],[6] and [7].
[[omega].sub.r] = M/[T.sub.r] [i.sub.qs]/[[phi].sub.r] (7)
FSTPI: Principle of Operation
[FIGURE 2 OMITTED]
The circuit of FSTPI is shown in Fig. 2. The FSTPI consists of a
two-leg topology. Such a reduced structure inverter is fed by a battery
pack which is divided into two equal parts, so that two phases of the
motor are fed by the legs of the inverter while the third one is
connected to the middle voltage point of the battery pack [9].
In this paper, we consider a simulation and implementation of
FSTPI-fed induction motor drive. This drive can be used in variable
speed applications like hoists and cranes.
Let as assume that the states of the four power switches are
denoted by the binary variables [K.sub.1] to [K.sub.4] where the binary
"1" corresponds to an ON state and the binary "0"
indicates an OFF state. The states of the upper and lower switches of a
leg are complementary, which yields [4], [5].
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (8)
Le us consider a Y-connected induction motor, therefore, the
terminal voltages [V.sub.as], [V.sub.bs] and [V.sub.cs] can be expressed
as a function of the stages of the upper switches as follows [4].
[MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII] (9)
This inverter has reduced hardware since four transistors are
sufficient. Less Driver chips are required since lesser transistors are
used. Reactive energy can be stored in the split capacitors.
Simulation Results
The simulation was done using Matlab simulink and the results are
presented. Space vector modulation involves three phase to two phase
conversion. Four driving pulses are generated from the two signals. The
block diagram of pulse generation module in Fig.1. Four switch 3[PHI]
inverter circuit is shown in Fig. 2. Charged capacitors are represented
as DC sources. Measurement circuit is shown in Fig.3. The simulated
3[PHI] currents are shown in Fig4. Pulse width modulated 3[PHI] voltages
are shown in Fig. 5. There is a slight unbalance in the output voltages
and currents. This unbalance is due to the capacitors in the first leg.
Rotor Speed curve is shown in Fig. 6. The rotor speed increases and
settles at 158 rps. From the simulation results of conventional 3[PHI]
inverter fed induction motor, the THD is found to be 24.69%. The THD for
FSTPI system is found to be 8.17%. Thus using FSTPI system reduces the
THD.
[FIGURE 3 OMITTED]
[FIGURE 4 OMITTED]
[FIGURE 5 OMITTED]
[FIGURE 6 OMITTED]
Experimental Results
A 1 KW laboratory model of FSTPI fed induction motor drive system
was designed and fabricated. Experimental verification of FSTPI fed
induction motor drive system was done by testing the hardware. Atmel
Microcontroller 89C2051 was used to generate driving pulses for the
MOSFET switches. Port1 of the atmel micro controller is used for
determining the gate pulses. Timer is used for producing the delay
required for Ton and Toff periods. The pulses from the microcontroller
are amplified using IR 2110. It amplifies the pulses to the level of
10V. The hardware module is shown in Fig.7. The pulses applied to the
gate of the MOSFET are shown in Fig.8. The PWM inverter output voltage
is shown in Fig.9.
[FIGURE 7 OMITTED]
[FIGURE 8 OMITTED]
[FIGURE 9 OMITTED]
Conclusion
The modeling of PWM controlled 4 switch 3 phase inverter has been
done using Matlab simulink. The conventional 6 Switch 3[PHI] inverter
drive system and FSTPI fed induction motor drive system are simulated
and their results are compared.
This comparison shows that FSTPI system has reduced harmonics when
compared to the multilevel inverter system. The hardware was tested by
giving the pulses from an embedded microcontroller. The experimental
results closely agree with the simulation results. The present work
indicates that FSTPI fed induction motor drive is an economical drive
with reduced harmonics. The hardware count is reduced since it uses only
four switches. Each driver IC can amplify two pulses. Two driver ICs are
sufficient to amplify the driving pulses since FSTPI has only four
MOSFETs.
References
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CRC Press, Boca Raton, FL.
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and Devices, Sousse.
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[9] Van Der Broeck, H.W. and Van Wyh, J.D. (1984), "A
comparative investigation of a three-phase induction machine drive with
a component minimized voltage--fed inverter under different control
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pp. 309-20.
S. Saravanasundaram (1) * and K. Thanushkodi (2)
(1) * Research Scholar, Hindusthan College of Engineering and
Technology, Coimbatore, India.
(2) Principal, Coimbatore Institute of Engineering and Information
Technology, Coimbatore, India
* Corresponding author: S.Saravanasundaram Tel : 00 91 98947 56463
email:
[email protected]