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ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011


          New Model Variable Frequency Transformer
          (NMVFT) – A Technology for V/f Control of
                     Induction Motors
                               Farhad Ilahi Bakhsh, Mohammad Irshad, and Shirazul Islam
                                 Department of Electrical Engineering, A.M.U, Aligarh, India
                                              Email: farhad.engg@gmail.com
                                                Email: 87.irshad@gmail.com
                                              Email: shiraz.zhcet@yahoo.com

Abstract— Variable frequency transformer (VFT) is used as a              which is supplied by the dc drive motor. If torque is applied
controllable bidirectional transmission device that can transfer         in one direction, then power flows from the stator winding
power between asynchronous networks and functionally is                  to the rotor winding. If torque is applied in the opposite
similar to back-to-back HVDC. This paper describes the basic             direction, then power flows from the rotor winding to the
concept of a New Model Variable Frequency Transformer                    stator winding. If no torque is applied, then no power flows
(NMVFT). NMVFT is a new technology which is used for v/f
                                                                         through the rotary transformer [3, 4].
control of induction motors. A digital simulation model of
NMVFT and its control system are developed using MATLAB.                           The world’s first VFT, which was manufactured by
The out power thus generated in v/f mode has been practically            GE, installed and commissioned in Hydro-Quebec’s Langlois
verified for the speed control of a three-phase induction motor.         substation, where it will be used to exchange power up to
Thus constant speed-torque characteristics were achieved.                100 MW between the asynchronous power grids of Quebec
                                                                         (Canada) and New York (USA). Figure 1 shows a simplified
Index Terms—Variable frequency transformer (VFT),                        one-line diagram of the Langlois VFT, which is comprised
Asynchronous, New Model Variable Frequency Transformer                   of the following: a rotary transformer for power exchange, a
(NMVFT), V/f control, MATLAB.                                            drive motor to control the movement of the rotor and to
                                                                         transfer power, a collector to connect the rotor windings with
                       I. INTRODUCTION                                   the outside system via electric brushes [5 - 7].
Variable frequency transformer (VFT) is a controllable
bidirectional transmission device that can transfer power
between asynchronous networks. The construction of VFT
is similar to conventional asynchronous machines, where
the two separate electrical networks are connected to the
stator and rotor respectively. One power system is connected
with the rotor side of the VFT via the electrical brush rings
and step-up transformers. And another power system is
connected with the stator side of the VFT directly via a step-
up transformer. Electrical power is exchanged between the
two networks by magnetic coupling through the air gap of
the VFT. A motor and drive system are used to adjust the
rotational position of the rotor relative to the stator, thereby
controlling the magnitude and direction of the power flowing
through the VFT [1, 2].
           Both the winding currents of the stator and rotor
induce a rotary magnetic field Fstator and Frotor respectively.
In the steady state, the two rotary magnetic fields are rotating
with the same angular speed i.e. Fstator is standstill to Frotor.
The composite magnetic fields Fstator_rotor will rotate with a                     Figure 1. Photograph of Langlois 100 MW VFT
speed of ωsystem-stator, cutting the stator coils with the same                II. NMVFT MODEL AND SYSTEM DESCRIPTION
speed, and cutting the rotor coils with a speed of ωsystem_rotor.
                                                                         A. NMVFT Model
And the angle frequency of the resulting inductive potential
at stator and rotor windings is synchronous with their currents                    In the model, NMVFT is a three phase singly fed
respectively. A stable power exchange between the two                    slip ring type induction machine. The stator winding is en-
asynchronous systems is possible. The transferred power and              ergized with three phase ac source and the rotor winding is
its direction are controlled by the torque applied to the rotor,         kept open. The rotor is coupled to a controllable constant
                                                                         speed drive i.e. dc shunt motor via mechanical coupler and

© 2011 ACEEE                                                        11
DOI: 01.IJEPE.02.01.50
ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011

scope is connected to measure the magnitude of voltage and              across the rotor winding as well as its frequency becomes
frequency of voltage across the rotor winding. Figure 2 shows           double the rated value.
the circuit diagram of NMVFT.                                               Thus a constant V/f characteristics is achieved. This
                                                                        operation of NMVFT is verified digitally by MATLAB
                                                                        Simulation and practically.

                                                                                     III. DIGITAL SIMULATION OF VFT

                                                                          A. MATLAB Simulation
                                                                                  In the view of MATLAB simulink, NMVFT is a
                                                                        type of machine which can be simulated with the
                                                                        asynchronous machine SI units. The asynchronous machine
                                                                        SI units having a three-phase excitation system on stator side.
                                                                        The constant speed achieved from dc shunt motor is
                 Figure 2. NMVFT circuit diagram
                                                                        simulated by using a constant block. And then we could use
                                                                        this simulated model, as shown as Figure 3, to solve electric
   B. NMVFT Operation
                                                                        system of NMVFT.
           The three phase ac supply is applied to the stator
winding of the three phase four poles singly fed slip ring
type induction machine. The rotor is coupled with the dc
shunt motor through a mechanical coupler. When the 220V
dc supply is applied to the dc shunt motor the NMVFT comes
in operation. The induced emf ‘Er’ in the rotor circuit is given
by
                            Er = sV                         (1)
where,
    V = Supply voltage per phase,
     s = Slip of Induction Motor and
   Er = Emf induced in the rotor circuit per phase
And the frequency of the induced voltage in the rotor circuit
is given by
                           fr = sf                          (2)
where,
    f = Supply frequency,
    s = Slip of Induction Motor and                                              Figure 3. MATLAB Simulation diagram of NMVFT
   fr = frequency of the induced voltage in the rotor circuit
The operation of NMVFT includes the following:                            B. Simulation Figures and Results
 i) If the rotational speed of dc shunt motor is zero then the                  When the rotational speed of dc shunt motor is
value of slip is equal to one as a result the emf induced across        zero.
the rotor winding is the rated rotor terminal voltage and the
frequency of voltage is the rated frequency.
 ii) If the dc shunt motor rotates in
           a)The direction of the rotating air gap flux then the
relative motion between them decreases results in decrease
in slip as a result the emf induced across the rotor winding
as well as its frequency decreases. When the speed of rotation
of dc shunt motor is equal to synchronous speed then the
slip becomes zero as a result the emf induced a)
across the rotor winding as well as its frequency becomes
zero.
           b)The direction opposite to the rotating air gap flux
then the relative motion between them increases results in
increase in slip as a result the emf induced across the rotor
winding as well as its frequency increases. When the speed
of rotation of dc shunt motor is equal to synchronous speed
then the slip becomes double as a result the emf induced



© 2011 ACEEE
                                                                   12
DOI: 01.IJEPE.02.01.50
ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011

                                                                                                       b) The direction of rotation of rotor is opposite to
       a)                        The direction of rotation of rotor is same as                            the air gap field:-
                                 that of the air gap field:-




                                                                                                   When the rotational speed of dc shunt motor is equal
                                                                                          to the synchronous speed i.e. relative speed is double of
                                                                                          synchronous speed.
                                                                                                                                        -50*pi
                                                                                                               1000



                                                                                                                500
                                                                                             Voltage (volts)




                                                                                                                  0
When the rotational speed of dc shunt motor is equal to
the synchronous speed i.e. relative speed is zero.                                                              -500



                                                                                                               -1000
                                                                                                                    0   0.5   1   1.5            2   2.5   3      3.5
                                                                                                                                  Time (seconds)                  4
                                                                                                                                                               x 10
                         200


                         100
                                                                                              In this way we can control output voltage from rated
                                                                                          voltage to twice of rated voltage and frequency from rated
    V o ltage (vo lts)




                           0
                                                                                          frequency to twice the rated frequency i.e. 50 –100 Hz in
                         -100
                                                                                          India. The emf induced across the rotor winding versus its
                         -200
                                                                                          frequency graph achieved is shown as:
                         -300
                             0       0.5     1        1.5        2   2.5       3
                                                 Time (second)             x 104



    In this way we can control output voltage from zero
volts to rated voltage and frequency from zero Hertz to
rated frequency i.e. 50 Hz in India. The emf induced
across the rotor winding versus its frequency graph
achieved is shown as:




                                                                                          Figure 4. MATLAB Simulation results showing variation of rotor circuit
                                                                                                  voltages with time and voltage versus frequency graphs.




© 2011 ACEEE                                                                         13
DOI: 01.IJEPE.02.01.50
ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011

                IV. PRACTICAL ANALYSIS                                        Figure 6 showing the variation of rotor voltage with its
                                                                              frequency of table I.




                                                                                       Figure 6. Voltage versus Frequency curve (table I)

                                                                                   b) The direction of rotation of rotor is opposite to the
                                                                              air gap field:-



Figure 5. Mechanical and electrical parameters used during experiment.

     While performing the experiment the rotor of dc shunt
motor is mechanically coupled to the rotor of the induction
motor. The three phase ac supply is given to the stator
winding of three phase four poles slip ring type induction
motor through an auto transformer. The rotor windings are
kept open circuited and voltmeter is connected across the
rotor winding. The 220V dc is applied to the dc shunt motor
through a rheostat. A tachometer is used to measure the speed
of the dc shunt motor. With the help of auto transformer the
input voltage of induction motor is maintained constant and
through rheostat the voltage of the dc shunt motor is varied
which varies the current in shunt winding and as a result the                 Figure 7 shows the variation of rotor voltage with its
flux of dc shunt winding varies, resulting in variation of speed              frequency of table II.
of dc shunt motor. Since the rotor of dc shunt motor is
mechanically coupled with the rotor of induction motor, thus
the speed of the induction motor varies accordingly. The
voltage induced across the rotor winding and its frequency
is given in the table:
 a) The direction of rotation of rotor is same as that of the
air gap field:-




                                                                                         V. INDUCTION MOTOR V/F CONTROL
                                                                                 The output power of the NMVFT is applied to three phase
                                                                              induction motor of 1HP, 420V, 2A, 50Hz, 1430rpm. A linear
                                                                              torque-speed characteristics is achieved. The torque-speed
                                                                              characteristics for different magnitude of voltage and
                                                                              different frequency of voltage i.e. 50Hz, 40Hz and 30Hz,
                                                                              with and without boost up voltage, are shown as:

© 2011 ACEEE
                                                                         14
DOI: 01.IJEPE.02.01.50
ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011




                                                                              Figure 11. D.C Shunt motor mechanically coupled with Induction motor

                                                                                                         CONCLUSIONS
                                                                                        Using NMVFT we can vary voltage from zero volts
                                                                              to twice the rated voltage and frequency from zero hertz to
                                                                              twice the rated frequency. Thus a constant V/f is achieved
                                                                              by NMVFT and is harmonics free. This is a new alternative
                                                                              for v/f control of Induction Motor. It eliminates the use of
                                                                              conventional v/f power supply using a MOSFET or IGBT
                                                                              based inverter. Therefore the reliability of the system is high
                                                                              and the proposed system can be used at MW level of power.
                                                                              MATLAB based simulation is done for the overall
                                                                              performance of the NMVFT system. Moreover, a satisfactory
                                                                              performance of a three-phase induction motor is also
 Figure 9. Torque versus Speed characteristics (with boost-up voltage)        obtained, when energized form the NMVFT supply. It
                                                                              showed almost linear torque-speed characteristics.

                                                                                                          REFERENCES
                                                                              [1] E.Larsen, R.Piwko, D.McLaren, D.McNabb, M.Granger,
                                                                                  M.Dusseault,L-P.Rollin, J.Primeau, “Variable-Frequency
                                                                                  Transformer - A New Alternative for Asynchronous Power
                                                                                  Transfer,” Canada Power, Toronto,Ontario, Canada,
                                                                                  September 28-30,2004.
                                                                              [2] P.Doyon, D.McLaren, M.White, Y.Li, P.Truman, E.Larsen,
                                                                                  C.Wegner, E.Pratico, R.Piwko, “Development of a 100 MW
                                                                                  Variable Frequency Transformer,” Canada Power, Toronto,
                                                                                  Ontario, Canada, September 28-30, 2004.
                                                                              [3] M. Dusseault, J.M.Gagnon, D.Galibois, M.Granger,
                                                                                  D.McNabb,          D.Nadeau, J. Primeau, S.Fiset, E.Larsen,
                                                                                  G.Drobniak, I.McIntyre, E.Pratico, C.Wegner, “First VFT
                                                                                  Application and Commissioning,” Canada Power, Toronto,
                                                                                  Ontario, CANADA, September 28-30, 2004.
                                                                              [4]     D. McLaren, J. Michalec, “The Variable Frequency Transformer
                                                                                    (VFT) A Rotating Machine”. GE Energy and American Electric Power
                                                                                    (AEP) Doble, 2006.
                                                                              [5] A. Merkhouf, S. Upadhyay and P. Doyon, “Variable frequency
                                                                                  transformer - an overview”, in Proc. of the 2006 IEEE Power
                                                                                  Engineering Society General Meeting, June 18-22, 2006 pp.
                                                                              [6] Gesong Chen, and Xiaoxin Zhou, “Digital Simulation of
                                                                                  Variable Frequency Transformers For Asynchronous
                                                                                  Interconnection in Power System,” 2005.
                                                                              [7] Arezki Merkhouf, Pierre Doyon and Sanjoy Upadhyay,
                                                                                  “Variable Frequency Transformer—Concept and
                                                                                  Electromagnetic Design Evaluation,” IEEE Transactions on
                                                                                  Energy Conversion, vol. 23, no. 4, December 2008.




© 2011 ACEEE                                                             15
DOI: 01.IJEPE.02.01.50

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New Model Variable Frequency Transformer (NMVFT) – A Technology for V/f Control of Induction Motors

  • 1. ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011 New Model Variable Frequency Transformer (NMVFT) – A Technology for V/f Control of Induction Motors Farhad Ilahi Bakhsh, Mohammad Irshad, and Shirazul Islam Department of Electrical Engineering, A.M.U, Aligarh, India Email: farhad.engg@gmail.com Email: 87.irshad@gmail.com Email: shiraz.zhcet@yahoo.com Abstract— Variable frequency transformer (VFT) is used as a which is supplied by the dc drive motor. If torque is applied controllable bidirectional transmission device that can transfer in one direction, then power flows from the stator winding power between asynchronous networks and functionally is to the rotor winding. If torque is applied in the opposite similar to back-to-back HVDC. This paper describes the basic direction, then power flows from the rotor winding to the concept of a New Model Variable Frequency Transformer stator winding. If no torque is applied, then no power flows (NMVFT). NMVFT is a new technology which is used for v/f through the rotary transformer [3, 4]. control of induction motors. A digital simulation model of NMVFT and its control system are developed using MATLAB. The world’s first VFT, which was manufactured by The out power thus generated in v/f mode has been practically GE, installed and commissioned in Hydro-Quebec’s Langlois verified for the speed control of a three-phase induction motor. substation, where it will be used to exchange power up to Thus constant speed-torque characteristics were achieved. 100 MW between the asynchronous power grids of Quebec (Canada) and New York (USA). Figure 1 shows a simplified Index Terms—Variable frequency transformer (VFT), one-line diagram of the Langlois VFT, which is comprised Asynchronous, New Model Variable Frequency Transformer of the following: a rotary transformer for power exchange, a (NMVFT), V/f control, MATLAB. drive motor to control the movement of the rotor and to transfer power, a collector to connect the rotor windings with I. INTRODUCTION the outside system via electric brushes [5 - 7]. Variable frequency transformer (VFT) is a controllable bidirectional transmission device that can transfer power between asynchronous networks. The construction of VFT is similar to conventional asynchronous machines, where the two separate electrical networks are connected to the stator and rotor respectively. One power system is connected with the rotor side of the VFT via the electrical brush rings and step-up transformers. And another power system is connected with the stator side of the VFT directly via a step- up transformer. Electrical power is exchanged between the two networks by magnetic coupling through the air gap of the VFT. A motor and drive system are used to adjust the rotational position of the rotor relative to the stator, thereby controlling the magnitude and direction of the power flowing through the VFT [1, 2]. Both the winding currents of the stator and rotor induce a rotary magnetic field Fstator and Frotor respectively. In the steady state, the two rotary magnetic fields are rotating with the same angular speed i.e. Fstator is standstill to Frotor. The composite magnetic fields Fstator_rotor will rotate with a Figure 1. Photograph of Langlois 100 MW VFT speed of ωsystem-stator, cutting the stator coils with the same II. NMVFT MODEL AND SYSTEM DESCRIPTION speed, and cutting the rotor coils with a speed of ωsystem_rotor. A. NMVFT Model And the angle frequency of the resulting inductive potential at stator and rotor windings is synchronous with their currents In the model, NMVFT is a three phase singly fed respectively. A stable power exchange between the two slip ring type induction machine. The stator winding is en- asynchronous systems is possible. The transferred power and ergized with three phase ac source and the rotor winding is its direction are controlled by the torque applied to the rotor, kept open. The rotor is coupled to a controllable constant speed drive i.e. dc shunt motor via mechanical coupler and © 2011 ACEEE 11 DOI: 01.IJEPE.02.01.50
  • 2. ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011 scope is connected to measure the magnitude of voltage and across the rotor winding as well as its frequency becomes frequency of voltage across the rotor winding. Figure 2 shows double the rated value. the circuit diagram of NMVFT. Thus a constant V/f characteristics is achieved. This operation of NMVFT is verified digitally by MATLAB Simulation and practically. III. DIGITAL SIMULATION OF VFT A. MATLAB Simulation In the view of MATLAB simulink, NMVFT is a type of machine which can be simulated with the asynchronous machine SI units. The asynchronous machine SI units having a three-phase excitation system on stator side. The constant speed achieved from dc shunt motor is Figure 2. NMVFT circuit diagram simulated by using a constant block. And then we could use this simulated model, as shown as Figure 3, to solve electric B. NMVFT Operation system of NMVFT. The three phase ac supply is applied to the stator winding of the three phase four poles singly fed slip ring type induction machine. The rotor is coupled with the dc shunt motor through a mechanical coupler. When the 220V dc supply is applied to the dc shunt motor the NMVFT comes in operation. The induced emf ‘Er’ in the rotor circuit is given by Er = sV (1) where, V = Supply voltage per phase, s = Slip of Induction Motor and Er = Emf induced in the rotor circuit per phase And the frequency of the induced voltage in the rotor circuit is given by fr = sf (2) where, f = Supply frequency, s = Slip of Induction Motor and Figure 3. MATLAB Simulation diagram of NMVFT fr = frequency of the induced voltage in the rotor circuit The operation of NMVFT includes the following: B. Simulation Figures and Results i) If the rotational speed of dc shunt motor is zero then the When the rotational speed of dc shunt motor is value of slip is equal to one as a result the emf induced across zero. the rotor winding is the rated rotor terminal voltage and the frequency of voltage is the rated frequency. ii) If the dc shunt motor rotates in a)The direction of the rotating air gap flux then the relative motion between them decreases results in decrease in slip as a result the emf induced across the rotor winding as well as its frequency decreases. When the speed of rotation of dc shunt motor is equal to synchronous speed then the slip becomes zero as a result the emf induced a) across the rotor winding as well as its frequency becomes zero. b)The direction opposite to the rotating air gap flux then the relative motion between them increases results in increase in slip as a result the emf induced across the rotor winding as well as its frequency increases. When the speed of rotation of dc shunt motor is equal to synchronous speed then the slip becomes double as a result the emf induced © 2011 ACEEE 12 DOI: 01.IJEPE.02.01.50
  • 3. ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011 b) The direction of rotation of rotor is opposite to a) The direction of rotation of rotor is same as the air gap field:- that of the air gap field:- When the rotational speed of dc shunt motor is equal to the synchronous speed i.e. relative speed is double of synchronous speed. -50*pi 1000 500 Voltage (volts) 0 When the rotational speed of dc shunt motor is equal to the synchronous speed i.e. relative speed is zero. -500 -1000 0 0.5 1 1.5 2 2.5 3 3.5 Time (seconds) 4 x 10 200 100 In this way we can control output voltage from rated voltage to twice of rated voltage and frequency from rated V o ltage (vo lts) 0 frequency to twice the rated frequency i.e. 50 –100 Hz in -100 India. The emf induced across the rotor winding versus its -200 frequency graph achieved is shown as: -300 0 0.5 1 1.5 2 2.5 3 Time (second) x 104 In this way we can control output voltage from zero volts to rated voltage and frequency from zero Hertz to rated frequency i.e. 50 Hz in India. The emf induced across the rotor winding versus its frequency graph achieved is shown as: Figure 4. MATLAB Simulation results showing variation of rotor circuit voltages with time and voltage versus frequency graphs. © 2011 ACEEE 13 DOI: 01.IJEPE.02.01.50
  • 4. ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011 IV. PRACTICAL ANALYSIS Figure 6 showing the variation of rotor voltage with its frequency of table I. Figure 6. Voltage versus Frequency curve (table I) b) The direction of rotation of rotor is opposite to the air gap field:- Figure 5. Mechanical and electrical parameters used during experiment. While performing the experiment the rotor of dc shunt motor is mechanically coupled to the rotor of the induction motor. The three phase ac supply is given to the stator winding of three phase four poles slip ring type induction motor through an auto transformer. The rotor windings are kept open circuited and voltmeter is connected across the rotor winding. The 220V dc is applied to the dc shunt motor through a rheostat. A tachometer is used to measure the speed of the dc shunt motor. With the help of auto transformer the input voltage of induction motor is maintained constant and through rheostat the voltage of the dc shunt motor is varied which varies the current in shunt winding and as a result the Figure 7 shows the variation of rotor voltage with its flux of dc shunt winding varies, resulting in variation of speed frequency of table II. of dc shunt motor. Since the rotor of dc shunt motor is mechanically coupled with the rotor of induction motor, thus the speed of the induction motor varies accordingly. The voltage induced across the rotor winding and its frequency is given in the table: a) The direction of rotation of rotor is same as that of the air gap field:- V. INDUCTION MOTOR V/F CONTROL The output power of the NMVFT is applied to three phase induction motor of 1HP, 420V, 2A, 50Hz, 1430rpm. A linear torque-speed characteristics is achieved. The torque-speed characteristics for different magnitude of voltage and different frequency of voltage i.e. 50Hz, 40Hz and 30Hz, with and without boost up voltage, are shown as: © 2011 ACEEE 14 DOI: 01.IJEPE.02.01.50
  • 5. ACEEE Int. J. on Electrical and Power Engineering, Vol. 02, No. 01, Feb 2011 Figure 11. D.C Shunt motor mechanically coupled with Induction motor CONCLUSIONS Using NMVFT we can vary voltage from zero volts to twice the rated voltage and frequency from zero hertz to twice the rated frequency. Thus a constant V/f is achieved by NMVFT and is harmonics free. This is a new alternative for v/f control of Induction Motor. It eliminates the use of conventional v/f power supply using a MOSFET or IGBT based inverter. Therefore the reliability of the system is high and the proposed system can be used at MW level of power. MATLAB based simulation is done for the overall performance of the NMVFT system. Moreover, a satisfactory performance of a three-phase induction motor is also Figure 9. Torque versus Speed characteristics (with boost-up voltage) obtained, when energized form the NMVFT supply. It showed almost linear torque-speed characteristics. REFERENCES [1] E.Larsen, R.Piwko, D.McLaren, D.McNabb, M.Granger, M.Dusseault,L-P.Rollin, J.Primeau, “Variable-Frequency Transformer - A New Alternative for Asynchronous Power Transfer,” Canada Power, Toronto,Ontario, Canada, September 28-30,2004. [2] P.Doyon, D.McLaren, M.White, Y.Li, P.Truman, E.Larsen, C.Wegner, E.Pratico, R.Piwko, “Development of a 100 MW Variable Frequency Transformer,” Canada Power, Toronto, Ontario, Canada, September 28-30, 2004. [3] M. Dusseault, J.M.Gagnon, D.Galibois, M.Granger, D.McNabb, D.Nadeau, J. Primeau, S.Fiset, E.Larsen, G.Drobniak, I.McIntyre, E.Pratico, C.Wegner, “First VFT Application and Commissioning,” Canada Power, Toronto, Ontario, CANADA, September 28-30, 2004. [4] D. McLaren, J. Michalec, “The Variable Frequency Transformer (VFT) A Rotating Machine”. GE Energy and American Electric Power (AEP) Doble, 2006. [5] A. Merkhouf, S. Upadhyay and P. Doyon, “Variable frequency transformer - an overview”, in Proc. of the 2006 IEEE Power Engineering Society General Meeting, June 18-22, 2006 pp. [6] Gesong Chen, and Xiaoxin Zhou, “Digital Simulation of Variable Frequency Transformers For Asynchronous Interconnection in Power System,” 2005. [7] Arezki Merkhouf, Pierre Doyon and Sanjoy Upadhyay, “Variable Frequency Transformer—Concept and Electromagnetic Design Evaluation,” IEEE Transactions on Energy Conversion, vol. 23, no. 4, December 2008. © 2011 ACEEE 15 DOI: 01.IJEPE.02.01.50