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C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
www.ijera.com 15 | P a g e 
Improvement of Voltage Quality of Micro Turbine Generator With Matrix Converter & Venturini Technique’s C.Himabindu1, B.Indiravathi2, T.Ranga3 1Student, 2Assistant professor, 3Assistant professor Department of Electrical and Electronics Engineering St. Mark Educational Institution Society Group of Institutions, Ananthapur-515001(INDIA) ABSTRACT In recent years, application of Distributed Generation (DG) sources has increased significantly. Micro turbine- Generator (MTG) is well suitable for different distributed generation applications, because it can be connected in parallel to serve larger loads, can provide reliable power and has low-emission. The main characteristics of MTG can be summarized in low maintenance, capacity of operation with liquid and gas fuels (including natural gas) and small area required for installation [1]. MTGs have the rated power from 30 to 250 kW, generating electricity in ac, and they can be installed in isolated conditions or synchronized with the electrical utility.MTGs are available as single-shaft or split-shaft units. Single-shaft unit is a high-speed synchronous machine with the compressor and turbine mounted on the same shaft. While, the split-shaft design uses a power turbine rotating at 3000 rpm and a conventional generator connected via a synchronous generator-PMSG), frequency converters (interface converters), and protection and control systems (Fig. 1)[1] . The interface converter is used to convert PMSG output voltage frequency (high frequency) to power system (50/60 Hz) frequency. 
Keywords- Micro- turbine Genrator (MTG), Distributed generators, Matrix Converter (MC), Harmonics (H), 
I. MICRO TURBINE MODELING 
In this paper, the model proposed in is considered for micro turbine. The modeling of micro turbine has been done in Matlab/Simulink (Fig. 2). As can be seen in Fig. 2, the model is made up of speed controller, acceleration controller, temperature controller and fuel system (including valve positioned and actuator). The exhaust temperature function f1 and torque function f2 is given by, f1 = TR – 700(1 – Wf1) + 550(1 – ω) ...…………(1) f2 = 1.3(Wf2 – 0.23) + 0.5(1 – ω) ...…………… (2) Where ω denotes turbine speed, Wf1 and Wf2 are fuel flows signals, and TR denotes rated exhaust temperature. 
Fig.1 Block diagram of a single – shaft MTG 
II. MATRIX CONVERTER (MC) 
MC is an array of controlled semiconductor switches that connects directly the three-phase source to the three-phase load. In the other words, MC performs a direct AC/AC conversion. While, AC/AC conversion is conventionally achieved by a rectifier stage, a dc link and an inverter stage. Since, in the MC the switching is performed on sinusoidal waveforms, the output voltage quality can be better than the conventional rectifier-inverter structure. Also, there is no dc-link (large energy storage element) in MC. So, the MC is more compact compared to conventional AC/AC converters [5,6]. A common matrix converter structure consisting of 3x3 switches is shown in Fig. 3. As can be seen, it connects a three-phase voltage source to a three- phase load [6]. 
The matrix converter requires a bidirectional switch capable of blocking voltage and conducting current in both directions. Unfortunately, there are no such devices currently available, so discrete devices need to be used to construct suitable switch cells. In this paper, the common-emitter back to back structure is used as bidirectional switch. The Simulink model of this switch is shown in Fig. 4. 
RESEARCH ARTICLE OPEN ACCESS
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
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Fig.2 Micro turbine model Fig.3 Basic MC Structure 
Normally, the matrix converter is fed by a voltage source and, for this reason; the input terminals should not be short circuited. On the other hand, the load has typically an inductive nature and, for this reason, an output phase must never be opened [5]. Considering fig.3 and defining the switching function of a single switch as [5]. …………….(3) where K = { A, B, C} j = {a, b, c} The constraints discussed above can be expressed by: SAj + SBj + SCj =1, j = {a,b,c}.. (4) 
The load and source voltages of Fig. 3 with reference to supply neutral are considered as follows: V0 = Vi = (5) So, it can be written that: (6) V0 = T.Vi Where T is the instantaneous transfer matrix. 
In order to derive modulation rules, it is also necessary to consider the switching pattern that is employed. This typically follows a form similar to that shown in Fig. 5.
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
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Fig.4 simulink model of bidirectional switch 
Fig.5 switching pattern 
By considering that the bidirectional power 
switches work with high switching frequency, a low-frequency 
output voltage of variable amplitude and 
frequency can be generated by modulating the duty 
cycle of the switches using their respective switching 
functions. 
Let mkj(t) be the duty cycle of switch Skj, 
defined as mkj(t)=tkj/Tseq, which can have the 
following values: 
0 < mKj<1, K= {A, B,C} j = {a,b,c} (7) 
The low-frequency transfer matrix is 
defined by: 
(8) 
The low-frequency component of the 
output phase voltage is given by: 
(9) 
Some modulation techniques have been 
presented for MC control. The most popular of them 
are Venturini, Scalar, and Space Vector Modulation 
(SVM) methods [5]. 
In this paper, the Venturini method is applied for 
MC control. In this method, switching timing can be 
expressed in terms of the input voltages and the target 
output voltages, as follows: 
The original algorithm proposed by venturini is: 
The well known main problem of this a lgorithm 
is that it has a limited ratio r < 0.5 which is limiting 
the use of this method. The expression of the 
modulation coefficients for this algorithm can be 
presented as follows
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
www.ijera.com 18 | P a g e 
Based on the technique so called the technique of 
the neutral point, the r ratio can go up to 0.866 
without passing through the over–modulation region 
by adding the Zero vector to the reference output 
voltage which was defined before. 
voj is the new reference output voltage.Finally the 
simplified expression of Venturini is obtained: 
The calculation of mij is performed at a sampling 
frequency which also defines the converter switching 
frequency. 
III. SIMULATION RESULTS 
In this section, the MTG is simulated in 
Matlab/Simulink. The model of PMSG available at 
Simulink library is used for generator simulation. 
This PMSG has 8 poles and its rated power is 
30kW.In simulations, the focus will be on 
comparison of output voltage quality of two MTG 
interface converters (matrix converter with venturini 
technique and conventional rectifier-inverter 
structure). In order to perform a true comparison, 
switching frequency of both converters is set to 5kHz 
and output LC filters parameters are chosen to be the 
same. The block diagram of the simulated system is 
shown in Fig. 6. 
The reference speed of the MTG is set to 45000 
rpm. At first, The RLC load is 0.2 pu. Then, at 
t=14sec, the load has a step increase to 0.8 pu. 
The torque response of the micro turbine is 
compared with the load demand in Fig. 7. It can be 
seen that the torque has a good convergence. 
Also, speed of MTG is shown in Fig.8. As it can 
be observed, the speed converges to its reference 
value, too. 
Fig.6 Simulated system 
Fig.7 mechanical torque of MTG
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
www.ijera.com 19 | P a g e 
Fig.8 Speed of MTG At this speed, the output frequency of the PMSG is 3000Hz and must be converted to power system frequency (60Hz). As it is mentioned earlier, it can be achieved using matrix converter or conventional rectifier- inverter structure. In Figs 9(a) and 9(b), PMSG output phase voltages at 0.2 pu and 0.8 pu loads are shown Fig.9 (a) PMSG output voltage:(a)load=0.2pu Fig.9 (b) PMSG output voltage:(a)load=0.8pu 
Matrix and conventional converters operate on these load voltages to construct a 60Hz, 440V(p-p) output voltage. Output waveforms of these converters before filtering are shown in Figs. 10 and 11, respect
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
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Fig.10. MC output voltage: load= 0.2 pu (lift) load=0.8 pu (right) Fig.11. Conventional converter output voltage: load= 0.2 pu (lift) load=0.8 pu (right) Fig.12. load terminal voltage using MC: load= 0.2 pu and load=0.8 pu
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
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Fig.13. load terminal voltage using conventional converter: load= 0.2 pu and load=0.8 pu These voltages are filtered by the LC filter to construct the load terminal voltages. Figs 12 and 13 show the filtered voltages waveforms. As it can be seen, the voltage THD values (5.5% and 4.5% for 0.2 and 0.8 pu loads) using MC are less than the ones in the case of conventional rectifier-inverter structure (7.2% and 6.5% for 0.2 and 0.8 pu loads). Fig.14 THD values for conventional converter (7.2% and 6.5% for 0.2 and 0.8pu load)
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
www.ijera.com 22 | P a g e 
Fig.15 THD values for MC (5.5% and 4.5% for 0.2 and 0.8pu load) 
IV. CONCLUSIONS 
In this paper, application of the matrix converter with venturini technique as output frequency converter in microturbine-generator is addressed. Comparison of simulation results of MTG using matrix converter and conventional interface converters demonstrated the ability of MC to deliver a higher-quality voltage to the load. A venturini based compensation technique is proposed to improve the output performance of the MC. The proposed method has satisfactorily reduced harmonics in the output currents and voltages under the distorted input voltage conditions. In addition to, this method allows the over-current protection and the control of the load current. Also, it is worthy to be noted that through application of MC the large dc link capacitor which is common in the rectifier-inverter structure is omitted.So; the matrix interface converter can be more compact and less expensive. REFERENCES 
[1] A. K. Saha, S. Chowdhury, S. P. Chowdhury, and P. A. Crossley, “Modeling and performance analysis of a microturbine as a distributed energy resource”, IEEE Trans. Energy Conv., vol. 24, no. 2, pp. 529- 538, Jun. 2009. 
[2] T. Yu, J. Tong, and K. W. Chan, “Study on microturbine as a back-up power supply for power grid black-start”, IEEE Int. Conf. 2009. 
[3] R. Noroozian, M. Abedi, G. B. Gharehpetian, and S. H. Hosseini, “Modelling and simulation of microturbine generation system for on-grid and off-grid operation modes”, Int.l Conf. on Renewable Energies and Power Quality (ICREPQ’09), Apr. 2009. 
[4] A.P. W. Wheeler, J. Rodriguez, J. C. Clare, L.Empringham, and Weinstein, “Matrix Converters: A Technology Review”, IEEE Trans. Ind. Elec., vol. 49, no. 2, pp. 276-288, Apr. 2002. [5] G.P. W. Wheeler, J. C. Clare, L. Empringham, M. Bland, and K.G. Kerris, “A vector-controlled MCT matrix converter induction motor drive with minimized commutation time and enhanced waveform quality”, IEEE Ind. Appl. Mag., pp. 59-65, Jan./Feb. 2004. [6] E. F. Pavinatto, M. B. Peres, P. D. Reis, L. S. Pereira, and F. P. Salles, “Use of microturbines in remote isolated oil and gas facilities in Brazil”, IEEE Ind. Appl. Mag., pp. 62-68, Nov./Dec. 2008. [7] M.venturini, Newsine wave in sine wave out, Conversion Technique Which Eliments ,proceeding of powercon 7,pp.E3/1- E3/15,1980 [8] Google (internet) [9] Powercon 7, pp. E3/1-E3/15, 1980. [10] M. Venturini, A New Sine Wave in Sine Wave out, Conversion Technique Which Eliminates Reactive Elements,proceeding of powercon7, pp.E3/1-E3/15,1980 [11] A. Alesina, M. Venturini, “Analysis and Design of Optimum-Amplitude Nine Switch Direct AC-AC Ind. Electron, Vol.49, no.2, pp.276-288, April 2002 [13] H. Karaca, R. Akkaya, “A Matrix Converter Controlled with the Optimum Amplitude- Direct Transfer unction Approach”, 6th International conference on Electrical Engineering ICEENG 2008 may 2008 
[14] D. Casadei, G. Serra and A. Tani, “Reduction of the Input Current Harmonic Content in Matrix Converters under Input /Output Unbalance” IEEE Trans.ind.
C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com 
ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 
www.ijera.com 23 | P a g e 
Electron, vol.45, no.3, pp.401-409. june 1998 [15] S. Campbell, H. A. Toliyat, “DSP-Based Electromechanical Motion Control”, CRC Press, pp. 307-325, 2004. [16] M. E. O. Filho, E. R. Filho, K. E. B. Quindere, J. R. Gazoli, “A Simple Current Control for Matrix Converter”, IEEE- International Symposium on Industrial Electronics, pp. 2090-2094, 2006. [17] K. Sun, D. Zhou, L. Huang, K. Matsuse, “Compensation Control of Matrix Converter Fed Induction Motor Drive under Abnormal Input Voltage Conditions”, IEEE-IAS’04, pp. 623-630, 2004.

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Improvement of Voltage Quality of Micro Turbine Generator With Matrix Converter & Venturini Technique’s

  • 1. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 15 | P a g e Improvement of Voltage Quality of Micro Turbine Generator With Matrix Converter & Venturini Technique’s C.Himabindu1, B.Indiravathi2, T.Ranga3 1Student, 2Assistant professor, 3Assistant professor Department of Electrical and Electronics Engineering St. Mark Educational Institution Society Group of Institutions, Ananthapur-515001(INDIA) ABSTRACT In recent years, application of Distributed Generation (DG) sources has increased significantly. Micro turbine- Generator (MTG) is well suitable for different distributed generation applications, because it can be connected in parallel to serve larger loads, can provide reliable power and has low-emission. The main characteristics of MTG can be summarized in low maintenance, capacity of operation with liquid and gas fuels (including natural gas) and small area required for installation [1]. MTGs have the rated power from 30 to 250 kW, generating electricity in ac, and they can be installed in isolated conditions or synchronized with the electrical utility.MTGs are available as single-shaft or split-shaft units. Single-shaft unit is a high-speed synchronous machine with the compressor and turbine mounted on the same shaft. While, the split-shaft design uses a power turbine rotating at 3000 rpm and a conventional generator connected via a synchronous generator-PMSG), frequency converters (interface converters), and protection and control systems (Fig. 1)[1] . The interface converter is used to convert PMSG output voltage frequency (high frequency) to power system (50/60 Hz) frequency. Keywords- Micro- turbine Genrator (MTG), Distributed generators, Matrix Converter (MC), Harmonics (H), I. MICRO TURBINE MODELING In this paper, the model proposed in is considered for micro turbine. The modeling of micro turbine has been done in Matlab/Simulink (Fig. 2). As can be seen in Fig. 2, the model is made up of speed controller, acceleration controller, temperature controller and fuel system (including valve positioned and actuator). The exhaust temperature function f1 and torque function f2 is given by, f1 = TR – 700(1 – Wf1) + 550(1 – ω) ...…………(1) f2 = 1.3(Wf2 – 0.23) + 0.5(1 – ω) ...…………… (2) Where ω denotes turbine speed, Wf1 and Wf2 are fuel flows signals, and TR denotes rated exhaust temperature. Fig.1 Block diagram of a single – shaft MTG II. MATRIX CONVERTER (MC) MC is an array of controlled semiconductor switches that connects directly the three-phase source to the three-phase load. In the other words, MC performs a direct AC/AC conversion. While, AC/AC conversion is conventionally achieved by a rectifier stage, a dc link and an inverter stage. Since, in the MC the switching is performed on sinusoidal waveforms, the output voltage quality can be better than the conventional rectifier-inverter structure. Also, there is no dc-link (large energy storage element) in MC. So, the MC is more compact compared to conventional AC/AC converters [5,6]. A common matrix converter structure consisting of 3x3 switches is shown in Fig. 3. As can be seen, it connects a three-phase voltage source to a three- phase load [6]. The matrix converter requires a bidirectional switch capable of blocking voltage and conducting current in both directions. Unfortunately, there are no such devices currently available, so discrete devices need to be used to construct suitable switch cells. In this paper, the common-emitter back to back structure is used as bidirectional switch. The Simulink model of this switch is shown in Fig. 4. RESEARCH ARTICLE OPEN ACCESS
  • 2. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 16 | P a g e Fig.2 Micro turbine model Fig.3 Basic MC Structure Normally, the matrix converter is fed by a voltage source and, for this reason; the input terminals should not be short circuited. On the other hand, the load has typically an inductive nature and, for this reason, an output phase must never be opened [5]. Considering fig.3 and defining the switching function of a single switch as [5]. …………….(3) where K = { A, B, C} j = {a, b, c} The constraints discussed above can be expressed by: SAj + SBj + SCj =1, j = {a,b,c}.. (4) The load and source voltages of Fig. 3 with reference to supply neutral are considered as follows: V0 = Vi = (5) So, it can be written that: (6) V0 = T.Vi Where T is the instantaneous transfer matrix. In order to derive modulation rules, it is also necessary to consider the switching pattern that is employed. This typically follows a form similar to that shown in Fig. 5.
  • 3. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 17 | P a g e Fig.4 simulink model of bidirectional switch Fig.5 switching pattern By considering that the bidirectional power switches work with high switching frequency, a low-frequency output voltage of variable amplitude and frequency can be generated by modulating the duty cycle of the switches using their respective switching functions. Let mkj(t) be the duty cycle of switch Skj, defined as mkj(t)=tkj/Tseq, which can have the following values: 0 < mKj<1, K= {A, B,C} j = {a,b,c} (7) The low-frequency transfer matrix is defined by: (8) The low-frequency component of the output phase voltage is given by: (9) Some modulation techniques have been presented for MC control. The most popular of them are Venturini, Scalar, and Space Vector Modulation (SVM) methods [5]. In this paper, the Venturini method is applied for MC control. In this method, switching timing can be expressed in terms of the input voltages and the target output voltages, as follows: The original algorithm proposed by venturini is: The well known main problem of this a lgorithm is that it has a limited ratio r < 0.5 which is limiting the use of this method. The expression of the modulation coefficients for this algorithm can be presented as follows
  • 4. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 18 | P a g e Based on the technique so called the technique of the neutral point, the r ratio can go up to 0.866 without passing through the over–modulation region by adding the Zero vector to the reference output voltage which was defined before. voj is the new reference output voltage.Finally the simplified expression of Venturini is obtained: The calculation of mij is performed at a sampling frequency which also defines the converter switching frequency. III. SIMULATION RESULTS In this section, the MTG is simulated in Matlab/Simulink. The model of PMSG available at Simulink library is used for generator simulation. This PMSG has 8 poles and its rated power is 30kW.In simulations, the focus will be on comparison of output voltage quality of two MTG interface converters (matrix converter with venturini technique and conventional rectifier-inverter structure). In order to perform a true comparison, switching frequency of both converters is set to 5kHz and output LC filters parameters are chosen to be the same. The block diagram of the simulated system is shown in Fig. 6. The reference speed of the MTG is set to 45000 rpm. At first, The RLC load is 0.2 pu. Then, at t=14sec, the load has a step increase to 0.8 pu. The torque response of the micro turbine is compared with the load demand in Fig. 7. It can be seen that the torque has a good convergence. Also, speed of MTG is shown in Fig.8. As it can be observed, the speed converges to its reference value, too. Fig.6 Simulated system Fig.7 mechanical torque of MTG
  • 5. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 19 | P a g e Fig.8 Speed of MTG At this speed, the output frequency of the PMSG is 3000Hz and must be converted to power system frequency (60Hz). As it is mentioned earlier, it can be achieved using matrix converter or conventional rectifier- inverter structure. In Figs 9(a) and 9(b), PMSG output phase voltages at 0.2 pu and 0.8 pu loads are shown Fig.9 (a) PMSG output voltage:(a)load=0.2pu Fig.9 (b) PMSG output voltage:(a)load=0.8pu Matrix and conventional converters operate on these load voltages to construct a 60Hz, 440V(p-p) output voltage. Output waveforms of these converters before filtering are shown in Figs. 10 and 11, respect
  • 6. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 20 | P a g e Fig.10. MC output voltage: load= 0.2 pu (lift) load=0.8 pu (right) Fig.11. Conventional converter output voltage: load= 0.2 pu (lift) load=0.8 pu (right) Fig.12. load terminal voltage using MC: load= 0.2 pu and load=0.8 pu
  • 7. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 21 | P a g e Fig.13. load terminal voltage using conventional converter: load= 0.2 pu and load=0.8 pu These voltages are filtered by the LC filter to construct the load terminal voltages. Figs 12 and 13 show the filtered voltages waveforms. As it can be seen, the voltage THD values (5.5% and 4.5% for 0.2 and 0.8 pu loads) using MC are less than the ones in the case of conventional rectifier-inverter structure (7.2% and 6.5% for 0.2 and 0.8 pu loads). Fig.14 THD values for conventional converter (7.2% and 6.5% for 0.2 and 0.8pu load)
  • 8. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 22 | P a g e Fig.15 THD values for MC (5.5% and 4.5% for 0.2 and 0.8pu load) IV. CONCLUSIONS In this paper, application of the matrix converter with venturini technique as output frequency converter in microturbine-generator is addressed. Comparison of simulation results of MTG using matrix converter and conventional interface converters demonstrated the ability of MC to deliver a higher-quality voltage to the load. A venturini based compensation technique is proposed to improve the output performance of the MC. The proposed method has satisfactorily reduced harmonics in the output currents and voltages under the distorted input voltage conditions. In addition to, this method allows the over-current protection and the control of the load current. Also, it is worthy to be noted that through application of MC the large dc link capacitor which is common in the rectifier-inverter structure is omitted.So; the matrix interface converter can be more compact and less expensive. REFERENCES [1] A. K. Saha, S. Chowdhury, S. P. Chowdhury, and P. A. Crossley, “Modeling and performance analysis of a microturbine as a distributed energy resource”, IEEE Trans. Energy Conv., vol. 24, no. 2, pp. 529- 538, Jun. 2009. [2] T. Yu, J. Tong, and K. W. Chan, “Study on microturbine as a back-up power supply for power grid black-start”, IEEE Int. Conf. 2009. [3] R. Noroozian, M. Abedi, G. B. Gharehpetian, and S. H. Hosseini, “Modelling and simulation of microturbine generation system for on-grid and off-grid operation modes”, Int.l Conf. on Renewable Energies and Power Quality (ICREPQ’09), Apr. 2009. [4] A.P. W. Wheeler, J. Rodriguez, J. C. Clare, L.Empringham, and Weinstein, “Matrix Converters: A Technology Review”, IEEE Trans. Ind. Elec., vol. 49, no. 2, pp. 276-288, Apr. 2002. [5] G.P. W. Wheeler, J. C. Clare, L. Empringham, M. Bland, and K.G. Kerris, “A vector-controlled MCT matrix converter induction motor drive with minimized commutation time and enhanced waveform quality”, IEEE Ind. Appl. Mag., pp. 59-65, Jan./Feb. 2004. [6] E. F. Pavinatto, M. B. Peres, P. D. Reis, L. S. Pereira, and F. P. Salles, “Use of microturbines in remote isolated oil and gas facilities in Brazil”, IEEE Ind. Appl. Mag., pp. 62-68, Nov./Dec. 2008. [7] M.venturini, Newsine wave in sine wave out, Conversion Technique Which Eliments ,proceeding of powercon 7,pp.E3/1- E3/15,1980 [8] Google (internet) [9] Powercon 7, pp. E3/1-E3/15, 1980. [10] M. Venturini, A New Sine Wave in Sine Wave out, Conversion Technique Which Eliminates Reactive Elements,proceeding of powercon7, pp.E3/1-E3/15,1980 [11] A. Alesina, M. Venturini, “Analysis and Design of Optimum-Amplitude Nine Switch Direct AC-AC Ind. Electron, Vol.49, no.2, pp.276-288, April 2002 [13] H. Karaca, R. Akkaya, “A Matrix Converter Controlled with the Optimum Amplitude- Direct Transfer unction Approach”, 6th International conference on Electrical Engineering ICEENG 2008 may 2008 [14] D. Casadei, G. Serra and A. Tani, “Reduction of the Input Current Harmonic Content in Matrix Converters under Input /Output Unbalance” IEEE Trans.ind.
  • 9. C. Himabindu et al Int. Journal of Engineering Research and Applications www.ijera.com ISSN : 2248-9622, Vol. 4, Issue 7( Version 5), July 2014, pp.15-23 www.ijera.com 23 | P a g e Electron, vol.45, no.3, pp.401-409. june 1998 [15] S. Campbell, H. A. Toliyat, “DSP-Based Electromechanical Motion Control”, CRC Press, pp. 307-325, 2004. [16] M. E. O. Filho, E. R. Filho, K. E. B. Quindere, J. R. Gazoli, “A Simple Current Control for Matrix Converter”, IEEE- International Symposium on Industrial Electronics, pp. 2090-2094, 2006. [17] K. Sun, D. Zhou, L. Huang, K. Matsuse, “Compensation Control of Matrix Converter Fed Induction Motor Drive under Abnormal Input Voltage Conditions”, IEEE-IAS’04, pp. 623-630, 2004.