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Control of a Three Phase Induction Motor using Single Phase Supply

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International Journal <strong>of</strong> Engineering Trends and Technology- Volume3Issue3- 2012<br />

<strong>Control</strong> <strong>of</strong> a <strong>Three</strong> <strong>Phase</strong> <strong>Induction</strong> <strong>Motor</strong> <strong>using</strong><br />

<strong>Single</strong> <strong>Phase</strong> <strong>Supply</strong><br />

G. R. Sreehitha #1 , A. Krishna Teja *2 , Kondenti. P. Prasad Rao #3<br />

Department <strong>of</strong> Electrical & Electronics Engineering, K L University,<br />

Abstract- In Industrial applications, two forms <strong>of</strong> electrical<br />

energy are used: Direct Current (DC) and Alternating Current<br />

(AC). Usually constant voltage, constant frequency <strong>Single</strong>-<strong>Phase</strong><br />

or <strong>Three</strong>-<strong>Phase</strong> AC is readily available. However, for different<br />

applications different forms, magnitudes and/or frequencies are<br />

required. This paper proposes how the <strong>Three</strong>-<strong>Phase</strong> inductive<br />

load is run by a <strong>Single</strong>-<strong>Phase</strong> supply by <strong>using</strong> Cycloconverter and<br />

a Scott-T connected Transformer. The controlling <strong>of</strong> a <strong>Three</strong>-<br />

<strong>Phase</strong> <strong>Induction</strong> <strong>Motor</strong> is done by Frequency variable method.<br />

<strong>Single</strong>-<strong>Phase</strong> to <strong>Three</strong>-<strong>Phase</strong> for motors <strong>of</strong>fered by <strong>using</strong> high in<br />

performance, low on maintenance and is used to reduce <strong>of</strong><br />

breakdown <strong>of</strong> electrical equipment, our range is also suitable for<br />

saving energy and require low maintenance.<br />

Keywords- Cycloconverter, Scott-T Transformer, <strong>Single</strong>-<strong>Phase</strong> to<br />

<strong>Three</strong>-<strong>Phase</strong> conversion.<br />

I. INTRODUCTION<br />

A Scott-T Transformer[1] is a type <strong>of</strong> circuit used to derive<br />

two-phase electric power with 90 0 phase shift[2] from a threephase<br />

source, or vice-versa. The Scott connection evenly<br />

distributes a balanced load between the phases <strong>of</strong> the source.<br />

The Scott three-phase transformer was invented by a<br />

Westinghouse engineer, C. F. Scott, in the late 1890’s to<br />

bypass Thomas Edison’s more expensive rotary converter and<br />

thereby permit two-phase generator plants to drive Nikola<br />

Tesla’s three-phase motors[3].<br />

Two-phase motors draw constant power the same as threephase<br />

motors, so a balanced two-phase load is converted to a<br />

balanced three-phase load. However if the two-phase load is<br />

not balanced, the Scott-T transformer cannot fix this.<br />

Unbalanced current on the two-phase side causes unbalanced<br />

current on the three-phase side[1].<br />

Frequency changers is an expanding field <strong>of</strong> power<br />

conversion technology. The increasing utilization <strong>of</strong> a.c<br />

motors in variable speed drives and the generation <strong>of</strong><br />

electrical power from variable speed sources are examples <strong>of</strong><br />

this field applications[4]. Cycloconverters are suitable for<br />

large a.c. machines because it has advantages: it has high<br />

efficiency owing to the simple construction <strong>of</strong> the main<br />

circuit, which consists, in its basic form, simply <strong>of</strong> an array <strong>of</strong><br />

IGBT switches[5]. The application <strong>of</strong> a Cycloconverter is<br />

rather limited, because the control circuit is <strong>of</strong>ten very<br />

complex, and therefore expensive[6].<br />

Andhra Pradesh, INDIA<br />

This converter consists <strong>of</strong> back-to-back connection <strong>of</strong> two<br />

full-wave rectifier circuits. Fig. 1 shows the operating<br />

waveforms for this converter with a resistive-inductive load.<br />

The input voltage, V s is an AC voltage at a frequency, f i as<br />

shown in Fig. 1b. For easy understanding assume that all the<br />

Switches (IGBT) are fired at α=0° firing angle, i.e. Switches<br />

act like diodes. Note that the firing angles are named as α P for<br />

the positive converter and α N for the negative converter.<br />

Consider the operation <strong>of</strong> the Cycloconverter to get half <strong>of</strong><br />

the input frequency at the output. For the first cycle <strong>of</strong> V s , the<br />

positive converter operates supplying current to the load. It<br />

rectifies the input voltage; therefore, the load sees two positive<br />

half cycles as seen in Fig. 1c. In the next cycle, the negative<br />

converter operates supplying current to the load in the reverse<br />

direction. Note that when one <strong>of</strong> the converters operates the<br />

other one is disabled, so that there is no current circulating<br />

between the two rectifiers.<br />

Fig.1a. <strong>Single</strong> <strong>Phase</strong> Cycloconverter with Sinusoidal Pulse Width Modulation<br />

(Converter Consists <strong>of</strong> Back-to-Back Connection <strong>of</strong> two full-wave rectifiers).<br />

II.<br />

CYCLOCONVERTER<br />

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International Journal <strong>of</strong> Engineering Trends and Technology- Volume3Issue3- 2012<br />

Fig.2a. Positive Gate Pulse for Positive Conversion (for f/2).<br />

Fig.1b. Input Voltage to the Cycloconverter having f = 50 Hz Frequency.<br />

Fig.2b. Negative Gate Pulse for Negative Conversion (for f/2).<br />

Fig.2. <strong>Control</strong> Pulses for Cycloconverter (α=0° firing angle).<br />

Fig.1c. Output Voltage <strong>of</strong> the Cycloconverter having f/2 = 50/2 Hz Frequency<br />

Fig.1d. Output Voltage <strong>of</strong> Cycloconverter having f/4 = 50/4 Hz Frequency.<br />

Fig.1. <strong>Single</strong> <strong>Phase</strong> Cycloconverter with R-L load.<br />

To get one-fourth <strong>of</strong> the input frequency at the output, for<br />

the first two cycles <strong>of</strong> V s , the positive converter operates<br />

supplying current to the load. It rectifies the input voltage;<br />

therefore, the load sees 4 positive half cycles as seen in Fig.<br />

1d. In the next two cycles, the negative converter operates<br />

supplying current to the load in the reverse direction.<br />

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International Journal <strong>of</strong> Engineering Trends and Technology- Volume3Issue3- 2012<br />

The frequency <strong>of</strong> the output voltage, V o in Fig. 1d. is 4<br />

times less than that <strong>of</strong> V s , the input voltage, i.e. f o /f i = 1/4.<br />

Thus, this is a step-down Cycloconverter. On the other hand,<br />

Cycloconverters that have f o /f i > 1 frequency relation are<br />

called step-up Cycloconverters. Note that step-down<br />

Cycloconverters are more widely used than the step-up ones.<br />

The frequency <strong>of</strong> V 0 can be changed by varying the number <strong>of</strong><br />

cycles the positive and the negative converters work. It can<br />

only change as integer multiples <strong>of</strong> f i in 1f-1f Cycloconverters.<br />

With the above operation, the 1f-1f Cycloconverter can only<br />

supply a certain voltage at a certain firing angle α. The dc<br />

output <strong>of</strong> each rectifier is:<br />

√<br />

----- (1)<br />

where V is the input rms voltage.<br />

Then the peak <strong>of</strong> the fundamental output voltage is<br />

√<br />

( )<br />

----- (2)<br />

Equation 2 implies that the fundamental output voltage<br />

depends on α. For α = 0°,<br />

where<br />

√<br />

. If α = (π/3)°, then . Thus varying ,<br />

the fundamental output voltage can be controlled. Constant <br />

operation gives a crude output waveform with rich harmonic<br />

content. With different 's, the less are the harmonics.<br />

III. SCOTT – T TRANSFORMER<br />

Assuming the desired voltage is the same on the two and<br />

three phase sides, the Scott-T transformer connection consists<br />

<strong>of</strong> a centre-tapped 1:1 ratio main transformer, T1, and an<br />

86.6% (0.5√3) ratio teaser transformer, T2. The centre-tapped<br />

side <strong>of</strong> T1 is connected between two <strong>of</strong> the phases on the<br />

three-phase side. Its centre tap then connects to one end <strong>of</strong> the<br />

lower turn count side <strong>of</strong> T2, the other end connects to the<br />

remaining phase. The other side <strong>of</strong> the transformers then<br />

connect directly to the two pairs <strong>of</strong> a two-phase four-wire<br />

system.<br />

Fig.3. Scott-T Transformer (2ø to 3ø).<br />

Fig.4. Shows the characteristics <strong>of</strong> a <strong>Three</strong> <strong>Phase</strong> <strong>Induction</strong><br />

<strong>Motor</strong> with the input voltage 220V and frequency 50Hz. The<br />

main transformer <strong>of</strong> a Scott-T having 220∟0 0 and teaser<br />

transformer having 220∟90 0 . Fig.4a. shows one <strong>of</strong> the three<br />

phase voltages at output <strong>of</strong> the Scott-T transformer. Here input<br />

is always equal to output voltage magnitude, because the<br />

transformer ratio is 1:1.<br />

Fig.4a. Scott-T Transformer Circuit in MATLAB – Simulink.<br />

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International Journal <strong>of</strong> Engineering Trends and Technology- Volume3Issue3- 2012<br />

Fig.4b. One <strong>of</strong> <strong>Three</strong> <strong>Phase</strong> voltage Waveform (Output <strong>of</strong> Scott-T Transformer).<br />

Fig.4c. Electromagnetic Torque waveform with 220V/50Hz <strong>Single</strong> <strong>Phase</strong> supply.<br />

Fig.4d. Rotor Speed waveform with 220V/50Hz <strong>Single</strong> Input supply.<br />

Fig.4e. Stator <strong>Three</strong> <strong>Phase</strong> Current waveform with 220V/50Hz <strong>Single</strong> <strong>Phase</strong> supply.<br />

Fig.4. Performance <strong>of</strong> <strong>Three</strong> <strong>Phase</strong> <strong>Induction</strong> <strong>Motor</strong> with 220V/50Hz <strong>Single</strong> <strong>Phase</strong> Input supply.<br />

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International Journal <strong>of</strong> Engineering Trends and Technology- Volume3Issue3- 2012<br />

IV. 1-ø TO 3-ø CONVERSION WITH<br />

CYCLOCONVERTER & SCOTT-T TRANSFORMER<br />

This paper proposed a circuit for industries to run three<br />

phase induction loads with single-phase supply. This is done<br />

by MATLAB Simulink.<br />

At very first, single-phase supply converted to two-phase<br />

supply through two single-phase Cycloconverters. In these<br />

two Cycloconverters, one is directly converted single-phase to<br />

single-phase with 0 0 Delay. Second one is converted singlephase<br />

to single-phase with 90 0 Delay. These two supplies<br />

called as two-phase supply. This two-phase supply directly<br />

fed to the Scott-T transformer. Here this transformer converts<br />

two-phase to three-phase to drive the three-phase induction<br />

load.<br />

In the second section the Cycloconverter operation<br />

explained with sinusoidal pulse width modulation technique<br />

(SPWM). But in this section Cycloconverter operated with<br />

manual pulse generator. Because, the output <strong>of</strong> a<br />

Cycloconverter having more dc component by <strong>using</strong> SPWM<br />

technique. To mitigate the dc component with LC-filter. We<br />

are not got the filter values exactly.<br />

Fig.5a. Cycloconverter & Scott-T Transformer Circuit to drive <strong>Three</strong>-<strong>Phase</strong> Inductive Loads in MATLAB – Simulink.<br />

Fig.5b. Electromagnetic Torque waveform.<br />

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International Journal <strong>of</strong> Engineering Trends and Technology- Volume3Issue3- 2012<br />

Fig.5c. Rotor Speed waveform.<br />

Fig.5d. Stator <strong>Three</strong> <strong>Phase</strong> Current waveform.<br />

Fig.5. Performance <strong>of</strong> <strong>Three</strong> <strong>Phase</strong> <strong>Induction</strong> <strong>Motor</strong> (i.e., With Two <strong>Single</strong>-<strong>Phase</strong> Cycloconverters & one Scott-T Transformer).<br />

Fig.5. Shows the characteristics <strong>of</strong> a <strong>Three</strong> <strong>Phase</strong> <strong>Induction</strong><br />

<strong>Motor</strong> with the input voltage 220V and frequency 50Hz. The<br />

main transformer <strong>of</strong> a Scott-T having 440∟0 0 and teaser<br />

transformer having 440∟90 0 as input voltage. These two<br />

voltages got by the two single-phase Cycloconverters. Fig.5b.<br />

shows the Electromagnetic magnetic torque. Fig.5c. shows the<br />

rotor speed. Fig.5d. shows the three-phase stator current. Here<br />

input is always equal to output voltage magnitude <strong>of</strong> the Scott-<br />

T transformer, because the transformer ratio is 1:1.<br />

The main advantage <strong>of</strong> this is, to get variable speed by<br />

varying the frequency at the input side. This is type <strong>of</strong><br />

mechanism is very easy and simple compare to other control<br />

techniques (i.e., controlling <strong>of</strong> three-phase supply directly).<br />

V. CONCLUSION<br />

This paper proposes a new topology for controlling a threephase<br />

induction motor with single-phase supply. Here to<br />

control <strong>of</strong> Cycloconverter by the firing pulses. With the help<br />

<strong>of</strong> variable frequencies got the variable speeds <strong>of</strong> a threephase<br />

induction motor. The major role <strong>of</strong> a Scott-T<br />

transformer is used to convert two-phase, output <strong>of</strong> two<br />

Cycloconverters to three-phase.<br />

ACKNOWLEDGMENT<br />

It is our sincere obligation to thank our well-wishers Dr. M.<br />

Venu GopalaRao,Ph.D. EEE HOD, Mr. D. Seshi Reddy,M.Tech.<br />

(Ph.D.), Associate Pr<strong>of</strong>essor & Mrs. S.V.N.L. Lalitha,M.Tech.<br />

(Ph.D.), Associate Pr<strong>of</strong>essor in KL University at Vaddeswaram,<br />

Guntur Dist.<br />

REFERENCES<br />

[1] Mazin, Hooman Erfanian; Gallant, Joey (August 14, 2009, 2010). "A<br />

Probabilistic Analysis on the Harmonic Cancellation Characteristics <strong>of</strong><br />

the Scott Transformer". J. Electromagnetic Analysis & Applications 2:<br />

18–24. Retrieved 20 December 2011.<br />

[2] Distribution Transformer Manual, GET-2485T. Hickory, NC: General<br />

Electric Company. 1996. pp. 64.<br />

[3] Harold C. Passer, The Electrical Manufacturers, 1875-1900, Harvard,<br />

1953, p. 315.<br />

[4] Rezgar Mohammed Khalil, Maamoon Al-Kababjie, ”Modeling and<br />

Simulation <strong>of</strong> multi-pulse Cycloconverter fed AC <strong>Induction</strong> motor and<br />

study <strong>of</strong> output power factor”, Al-Rafidain Engineering, vol.15, no.1,<br />

2007.<br />

[5] Miyazawa, S. Nakamura, F. and Yamada, N. “Effective Approximation<br />

Suitable for the <strong>Control</strong> Algorithm <strong>of</strong> Microprocessor Based<br />

Cycloconverter”, IEEE Transaction, August 1988.<br />

[6] Mohammed, B.A., “Microprocessor Based <strong>Control</strong> <strong>of</strong> Cycloconverters”,<br />

M.Sc. Thesis, University <strong>of</strong> Mosul, Iraq, December 1990.<br />

ISSN: 2231-5381 http://www.internationaljournalssrg.org Page 436

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