3030 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007 Performance Evaluation of a Novel Hybrid Multipulse Rectifier for Utility Interface of Power Electronic Converters Luiz Carlos Gomes de Freitas, Marcelo Godoy Simões, Senior Member, IEEE, Carlos Alberto Canesin, Member, IEEE, and Luiz Carlos de Freitas Abstract—This paper presents an improved analysis of a novel Programmable Power-factor-corrected-Based Hybrid Multipulse Power Rectifier (PFC-HMPR) for utility interface of power electronic converters. The proposed hybrid multipulse rectifier is composed of an ordinary three-phase six-pulse diode-bridge rectifier (Graetz bridge) with a parallel connection of single-phase switched converters in each three-phase rectifier leg. In this paper, the authors present a complete discussion about the controlled rectifiers’ power contribution and also a complete analysis concerning the total harmonic distortion of current that can be achieved when the proposed converter operates as a conventional 12-pulse rectifier. The mathematical analysis presented in this paper corroborate, with detailed equations, the experimental results of two 6-kW prototypes implemented in a laboratory. Index Terms—AC motor drives, high power drives for trolleybus systems, high power factor three-phase rectifiers, multipulse rectifiers, tractions applications, 12-pulse rectifiers. I. I NTRODUCTION D IODE-BRIDGE rectifiers are very important for several industrial and home equipment in order to feed the intermediate dc link usually used in electronic topologies. However, ordinary diode-bridge rectifiers do not meet harmonic-content restrictions as imposed by IEC61000-3-4 [1]–[3]. Therefore, complex power-factor correction structures or expensive bulky linear filters must be installed to compensate for such harmonic contamination. There has been tremendous interest in achieving a low harmonic distortion in ac–dc converters through programmable power-factor front-end rectifiers or some other techniques [4], [5]. The current state of art suggests the application of multipulse converters for achieving cancellation of input harmonic current at the need of magnetic circuits such as phase-shifting transformers, interphase transformers (IPTs), current-balancing Manuscript received March 8, 2007; revised July 31, 2007. This work was supported by CAPES, FAPEMIG, CNPq, FAPESP, and the National Science Foundation. L. C. G. de Freitas is with the Industry Division, Federal Center of Technological Education of Goiás (CEFET-GO/UnED-Jataí), Jataí, GO 75804020, Brazil (e-mail: lcgfreitas@yahoo.com.br). M. G. Simões is with the Engineering Division, Colorado School of Mines (CSM), Golden, CO 80401-1887 USA (e-mail: mgsimoes@ieee.org). C. A. Canesin is with the Faculty of Engineering, São Paulo State University (UNESP), Ilha Solteira, SP 15385-000, Brazil (e-mail: canesin@dee.feis. unesp.br). L. C. de Freitas is with the Faculty of Electrical Engineering (FEELT), Federal University of Uberlandia (UFU), Uberlandia, MG 38400-902, Brazil (e-mail: freitas@ufu.br). Digital Object Identifier 10.1109/TIE.2007.907004 transformers, and harmonic-blocking transformers with the obvious drawback of the complex design of heavy, bulky, and expensive custom-made equipment [4]–[13]. Elimination of IPTs is particularly desirable when there are preexisting harmonic voltages in the three-phase power source. This is because preexisting harmonic voltages cause changes in the dc output voltage, which greatly complicates the design of IPTs [4], [14]. Therefore, many authors have presented great works focusing on the development of transformer concepts for multipulse-rectifier applications in order to improve the current sharing between two rectifiers’ bridges and/or to eliminate the necessity of IPTs [4], [5], [7], [9], [10], [12], [13]. However, despite the robustness of these structures, the volume, weight, and size are still limiting factors. Hence, there has been great interest in achieving autotransformer arrangements to be used in rectifier applications in order to reduce the volume, weight, and size of the multipulserectifier structures [4], [5], [7], [13], [15]–[17]. It must be emphasized that, in some cases, since autotransformers are used to feed noncontrolled rectifiers, IPTs become an essential element in order to assure the correct operation of the multipulserectifier structure. An alternative technique that provides the correct operation of multipulse rectifier fed through an autotransformer without using IPTs consists of the connection of switched converters in the dc side of each three-phase diode-bridge rectifier in order to guarantee the correct current sharing among the rectifier units. For example, in a 12-pulse rectifier, there will be two switched converters rated at 50% of the total output power, or in an 18-pulse rectifier, there will be three switched converters rated at 33% of the total output power, and so on. However, in highpower levels (up to 50 kW), the efficiency and circuit complexities of the switched converters become an another challenge to overcome in the field of multipulse rectifiers [10], [18]. On the other hand, a novel approach that overcomes many disadvantages in the field of multipulse rectifiers is presented and fully evaluated in this paper [19], [20]. The proposed structure was obtained, associating a switched converter in parallel with each leg of a three-phase six-pulse diode rectifier resulting in a programmable input-line current waveform structure, which is shown in Fig. 1. The system is capable of providing ultraclean power without the need of phase-shifting transformers, IPTs, current-balancing transformers, or harmonicblocking transformers, and it was named Programmable PFC-Based Hybrid Multipulse Power Rectifier (PFC-HMPR). 0278-0046/$25.00 © 2007 IEEE Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. DE FREITAS et al.: EVALUATION OF A HYBRID MULTIPULSE RECTIFIER FOR UTILITY INTERFACE Fig. 1. 3031 Simplified diagram of the PFC-HMPR. The power rating of the parallel converters (Rect-2) is a fraction of the total output power, varying from 20% to around 45% of the rated power, depending on the desired THDI that must be achieved. It will be fully demonstrated in this paper. The proposed hybrid multipulse rectifier is a structure that combines the robustness, simplicity, and reliability of the sixpulse diode-bridge rectifier with the high-frequency operation of the controlled rectifiers, and therefore, the volume, weight, and size of the proposed structure are extremely reduced with higher efficiency. Thus, the rated power can be increased up to 50 kW, which cannot be achieved with ordinary unit power-factor three-phase pulsewidth-modulation (PWM) rectifiers [22]–[24]. Thus, this paper presents a performance evaluation of the proposed PFC-HMPR operating as a 12-pulse rectifier, including a mathematical analysis that corroborates the experimental results of the two prototypes rated at 6 kW. II. P RINCIPLE OF O PERATION From the combination of the input-line currents of Rect-1 (current ia1 ) and Rect-2 (current ia2 ), the input-line current of the proposed PFC-HMPR (current ia(in) ) is obtained (line A for instance). Hence ia(in) (t) = ia1 (t) + ia2 (t) (1) ib(in) (t) = ib1 (t) + ib2 (t) (2) ic(in) (t) = ic1 (t) + ic2 (t) (3) where ia(in) (t), ib(in) (t), ic(in) (t) ia1 (t), ib1 (t), ic1 (t) ia2 (t), ib2 (t), ic2 (t) ac input-line currents of PFC-HMPR; ac input-line currents of Rect-1; ac input-line currents of Rect-2. Fig. 2. Theoretical waveforms—12-pulse composition. Fig. 2 shows the principle of constructing an input-line current ia(in) through two components ia1 and ia2 that are obtained when the PFC-HMPR topology operates as a conventional three-phase 12-pulse rectifier. The ia2 current waveform is the main controller of the overall characteristic of the ia(in) waveform; therefore, the PFC-HMPR allows the improvement of the input-line current total harmonic distortion (THD) through a very simple technique. In order to achieve the same operational characteristics of a conventional 12-pulse rectifier, which means to provide an ac input-line current with harmonic components of 12n ± 1 orders, the peak value of current ia2 (I2P ) must be proportional to the peak value of current ia1 (I1P ), as demonstrated in Section III. In this case, the switched converters’ power Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. 3032 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007 Fig. 3. Theoretical waveforms—Sinusoidal composition. contribution will be around 20% of the total output power (6.67% for each switched converter). Concerning the operational characteristics of the proposed PFC-HMPR, it is also important to emphasize that the switched-converter-imposed current can assume any waveform, depending on the final ac input-line current waveform that is desired. This operational characteristic assures higher flexibility, which means that a sinusoidal input-line current waveform [21] can be achieved, providing THDI as low as it can be achieved in 24-pulse rectifiers [12]. In this context, the current ia2 can be imposed, as shown in Fig. 3. Therefore, the combination of the currents ia1 and ia2 results in a sinusoidal input-line current just as ordinary unit power-factor three-phase PWM rectifiers can provide; however, complex control strategies, which contribute to increase its cost and implementation difficulties, are not needed [22]–[24]. In conclusion, the lower is the desired THDI , and the higher is the switched converters’ power contribution. Thus, in the extreme, in order to achieve a sinusoidal input-line current, the switched converters’ power contribution will be around 45% of the total output power (15% for each switched converter), as demonstrated in [21]. The design of the switched converters can be optimized in order to mitigate its power contribution and, at the same time, to achieve the desired THDI assuring higher overall efficiency. It is important to emphasize that the switched converters (Rect-2) provide active power to the load; hence, the proposed structure cannot be classified as static compensators, which makes this proposal unique. III. H ARMONIC A NALYSIS OF THE 12-P ULSE I NPUT -L INE C URRENT In order to reduce the THDI , the PFC-HMPR is capable of operating with 12-pulse or sinusoidal ac currents. When operating with sinusoidal input-line current, the PFC-HMPR presents its better performance related to the THDI , meeting all harmonic-content restrictions imposed by IEC61000-3-4; hence, a harmonic analysis of the input-line current waveform is not needed. However, when operating as a 12-pulse rectifier, this kind of analysis is necessary since the elimination of harmonic components such as the 5th, 7th, 17th, and 19th depends on the peak value of the switched converters’ inputline currents ia2 , ib2 , and ic2 . Since the input currents of Rect-1 and Rect-2 are continuous functions that repeat periodically, therefore, using the Fourier theorem, it is possible to prove that the PFC-HMPR input-line current presents the same harmonic spectrum of a conventional 12-pulse rectifier (12n ± 1). As it is well known, the frequency domain representation of current ia1 is given by √ 1 2 3 1 I1P cos(ωt)− cos(5ωt)+ cos(7ωt) ia1 (ωt) = π 5 7 1 1 − cos(11ωt)+ cos(13ωt) 11 13 1 1 − cos(17ωt)+ cos(19ωt) 17 19 1 1 − cos(23ωt)+ cos(25ωt)+· · · . 23 25 (4) The frequency-domain representation of current ia2 is given by ∞ 1 4 cos(nωt) ia2 (ωt) = (kI1P ) 0.63 π n n=1,13,25,... + 2.36 − 2.36 ∞ n=5,17,... ∞ n=7,19,... 1 cos(nωt) n 1 cos(nωt) n 1 cos(nωt) . (5) − 0.63 n n=11,23,... ∞ A. Harmonic Components of the PFC-HMPR Input-Line Current—ia(in) Using Matlab software, it was possible to obtain the timedomain representation of current ia(in) , which is obtained from the combination of (4) and (5). Thus, it is shown in Fig. 4 the waveform of current ia(in) taking into account the harmonic components of order n = 200. B. Total Harmonic Distortion of the AC Input Current—ia(in) In order to illustrate the PFC-HMPR performance related to the THDI achieved when a 12-pulse current is imposed in the ac system, the Matlab software was used to calculate the final THDI of the input-line current as a function of k. Thus, in Fig. 5, one can observe that the minimum THDI (around 13.4%) is achieved when the peak value of current ia2 is around Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. DE FREITAS et al.: EVALUATION OF A HYBRID MULTIPULSE RECTIFIER FOR UTILITY INTERFACE 3033 Fig. 6. Harmonic spectrum of the PFC-HMPR input-line current operating as a 12-pulse rectifier for 0.3 ≤ k ≤ 0.36. IV. C HOICE OF THE S WITCHED C ONVERTERS Fig. 4. Waveform of current ia(in) obtained through the Fourier of currents ia1 and ia2 . Fig. 5. Total harmonic distortion of the input-line current for different values of k—12-pulse mode of operation. 33% of the peak value of current ia1 (k = 1/3). It is important to emphasize that this value of THDI is the same result reported in [10] and [15] where it was obtained with an 18-pulse rectifier scheme with an autotransformer feeding three six-pulse diode rectifiers with common load. In conclusion, in order to prove that the input-line current of the PFC-HMPR, operating as an ordinary 12-pulse rectifier, presents the harmonic components of order 12n ± 1, the Matlab software was used to combine (4) and (5) obtaining the values shown in Fig. 6. As one can see that, when k is around 1/3, the 5th, 7th, 17th, and 19th harmonics assume extremely reduced levels; hence, it can be stated that, in this mode of operation, the PFC-HMPR input-line current is given by ∞ 1 4.3I1P cos(nωt) cos(ωt) − ia(in) (ωt) = π n n=11,23,35,... ∞ 1 + cos(nωt) . (6) n n=35,25,37,... Boost converters have been traditionally used as front-end wave-shaping systems, but, in order to be applied as a parallel path of three-phase six-pulse diode-bridge rectifier, nonisolated boost converters are not suitable. It means that boost converters fed through line voltages or line-to-neutral voltages are not suitable to be used in the proposed PFC-HMPR structure. When boost converters are fed through a line-to-line voltage, it is observed that, during the period of time when the input-line voltage of the three-phase power source is higher than the dc output voltage, the boost current keeps on increasing even when the switch is open. In fact, when the boost switch is open and the freewheeling diode is forward-biased connecting the path between Rect-2 and Rect-1, the boost current flows through the diodes of the three-phase six-pulse rectifier bridge (Rect-1), and its control is lost, eventually impeding the desired currentwaveform composition. On the other hand, when boost converters are fed through a line-to-neutral voltage, it can be assured that the input voltage will never be higher than the dc output voltage; however, the boost current still finds a path through the negative diodes’ group of the three-phase six-pulse rectifier bridge (Rect-1) instead of returning through the boost circuit. It was observed even when modified boost converters were used [22]. In this context, single-ended primary inductor converter (SEPIC) behaves naturally as an input-current source, allowing the waveform of the input current to be imposed with a suitable control strategy. In contrast to the boost-converter behavior, when the switch Sn is opened (n: 1, 2, 3), the series capacitor of the SEPIC converter assures, at any operating conditions, the isolation of those circuits and the correspondent decrease of the current flow through the input inductor. Thus, the imposition of the input current does not strongly depend on the level of the dc output voltage V0 (dc link voltage). In order to improve the SEPIC converters’ performance, some modifications were made, as one can observe in Fig. 7. Each circuit differs from the normal SEPIC topology by the presence of a split input inductor, a split capacitor, and a split freewheeling diode. These modifications are necessary on the account of circulating currents that exist among the SEPIC converters when operating with a common load. The purpose of these modifications is to avoid the circulating currents assuring the correct ac current composition. A very similar case Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. 3034 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007 Fig. 7. Proposed PFC-HMPR deploying modified SEPIC converters. concerning parallel connection of boost converters was reported in [22]. It should be emphasized that, when boost converters are fed through single-phase transformers, there is a galvanic isolation, as shown in Fig. 3. In this arrangement, the boost current is confined to the secondary winding circuit, and the dc output voltage is kept with an average value approximately equal to the peak line-voltage value. This structure is able to replace the SEPIC converters because it can be assured that the boost current will be forced to return through the boost circuit instead of the three-phase six-pulse rectifier bridge. Hence, the control of the boost current is no longer lost, resulting to the achievement of the desired input-line current waveform. As a result, the proposed concept can also be implemented, deploying boost converters, but with the obvious drawback of requiring extra magnetic devices, which increases the volume, weight, and cost of the structure. The proposed PFC-HMPR deploying boost converters is shown in Fig. 8. It is important to emphasize that, even when using singlephase isolating transformers, the proposed PFC-HMPR deploying boost converters can still be attractive when compared to other multipulse-rectifier structures [7], [18] since each singlephase isolating transformer must be rated at 7% (12-pulse ac input current) of the total output active power, as described in Section VI, or 15% (sinusoidal ac input current), as reported in [21]. Fig. 8. Proposed PFC-HMPR deploying boost converters. Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. DE FREITAS et al.: EVALUATION OF A HYBRID MULTIPULSE RECTIFIER FOR UTILITY INTERFACE 3035 V. S WITCHED C ONVERTERS ’ P OWER C ONTRIBUTION —12-P ULSE AC C URRENT The rated power processed by each rectifier group (Rect-1 and Rect-2) can be determined based on the peak value of the input-line currents ia1 and ia2 , respectively (phase A for instance). In this context, the target is to quantify the fraction of power processed by each rectifier group in relation to the total output power. The system is going to be considered as loss-free and with unity input power factor. Thus P0 = Pin = 3 VP IP 2 (7) where P0 total output active power; Pin total input active power; VP peak value of the line-to-neutral voltage; peak value of the input-line current. IP The power processed by each dc–dc converter (Rect-2), when the proposed PFC-HMPR operates as a 12-pulse rectifier, can be determined as follows: PDC−DC Conv.1 1 = π π/6 VP sin(ωt) · I2P dωt 2π/3 VP sin(ωt) · I2P dωt π/3 π + VP sin(ωt) · I2P dωt (8) 5π/6 where I2P is the peak value of the switched-converter input-line current. As it was demonstrated in the last section, the switchedconverter-imposed current must be proportional to the sixpulse diode-bridge-rectifier input current in order to achieve the lowest THDI ; thus, the peak value of the switched-converter input-line current is expressed by I2P = k · I1P (9) where I1P peak value of the six-pulse diode-bridge-rectifier input-line current; k constant. Therefore, the switched-converters’ power contribution is given by 1.268 PRect-2 = 3 · VP · IP · . (10) π The power rating of the switched converters (PRect−2 ) in relation to the total output power (P0 ) can be determined as 3 · VP · IP · 1.268 PRect-2 π = . P0 3/2 · VP · IP Since the peak value of the input-line current is IP = I1P + I2P = I1P (k + 1). (12) the power contribution of the switched converters can be expressed as k PRect-2 = 2.536 . (13) P0 π · (k + 1) 0 + Fig. 9. Representation of the PFC-HMPR performance concerning the switched converters’ power contribution—12-pulse ac current. (11) Provided that the switched converters operate as current sources with a suitable imposed current and that the rated power processed by each one is determined based on the peak value of the imposed input-line currents (ia2 , ib2 , and ic2 ), the power rating of Rect-1 is given by PRect-1 = P0 − PRect-2 . (14) In order to prove the accuracy of (13) and (14), the Matlab software was used to illustrate the performance of each rectifier group (Rect-1 and Rect-2). Thus, one can observe in Fig. 9 that, when operating as an ordinary 12-pulse rectifier, for 0.33 ≤ k ≤ 0.36, the power contribution of Rect-2 is around 20% of the total output power (6.67% for each switched converter). As one can observe, the operation regions for 0.3 ≤ k ≤ 0.36 maximize the six-pulse diode-bridge-rectifier power contribution and minimize the switched converters’ power contribution. The other operation regions must be avoided so that the lowest THDI and the minimum switched converters’ power contribution can be assured. VI. E XPERIMENTAL A NALYSIS —PFC-HMPR O PERATING AS A 12-P ULSE R ECTIFIER A. Control Strategy The experimental setup was built using analog gate circuitry. Fig. 10 shows a simplified block diagram of the electronic circuit used in the experimental setup. As one can observe, a sample of the input line-to-neutral voltage is rectified and compared with two dc voltage levels Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. 3036 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007 Fig. 10. Simplified diagram block of the PWM control strategy in closed loop—12-pulse ac current. TABLE I PROTOTYPE PARAMETERS—PFC-HMPR—12-PULSE AC CURRENT TABLE II SUMMARY OF EXPERIMENTAL RESULTS OF THE PFC-HMPR—12-PULSE AC CURRENT for the pulse generator circuit. The output of the comparators is connected to an OR gate, resulting to a pulsed output voltage with a width equal to π/3 and an amplitude equal to the comparator supply voltage. Therefore, the reference current signal is filtered and reduced to unity value in order to be applied to the input of the Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. DE FREITAS et al.: EVALUATION OF A HYBRID MULTIPULSE RECTIFIER FOR UTILITY INTERFACE 3037 Fig. 11. (a) Prototype of the PFC-HMPR deploying modified SEPIC converters. (b) Modified SEPIC converters. Fig. 12. Main experimental results of the PFC-HMPR—operating as a 12-pulse rectifier—deploying modified SEPIC converters. (a) Input-line current of Rect-1/Phase A. (b) Input-line current of Rect-2/Phase A. (c) Input-line current and line-to-neutral voltage of PFC-HMPR/Phase A. (d) Input-line currents of PFC-HMPR. signal-multiplier circuit. The signal-multiplier circuit also receives a current signal of the six-pulse diode-bridge rectifier (IRect-1 ) in order to generate a signal proportional to 1/3 of the current IRect-1 . As a result, the reference current signal to be imposed at the switched converters is obtained at the output of the multiplier circuit. Finally, the PWM reference generator circuit receives the signal from the multiplier circuit and, with a sawtooth waveform, provides the PWM reference current signal that is compared with the current through the input inductor of the switched converters. Therefore, the driving command to the main switched converters’ switch is provided through the gate-drive circuit. B. Experimental Results After a careful simulation study using PSpice, two 6-kW prototypes of the proposed PFC-HMPR were built and analyzed in a laboratory. The PFC-HMPR has been implemented, deploying modified SEPIC converters and boost converters fed through isolating transformers. The parameters set for the prototypes are presented in Table I. The harmonic content of the input-line currents and input voltages, the input power factor, the displacement factor, the true power, the reactive power, and the apparent power for each phase are presented in Table II. These results were obtained Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. 3038 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007 Fig. 13. (a) Ch.1, dc link voltage (V0 ); Ch.2, current through the resistive load (I0 ); Ch.M, average output power of PFC-HMPR (P0 ). (b) Ch.1, rectified input voltage of Rect-2 (VDC ); Ch.2, rectified input current of Rect-2 (IL ); Ch.M, average input power of Rect-2. using the Tektronix Software Solutions: WSTRO & WSTROU WaveStar Software for Oscilloscopes/Trial Version. It is important to outline that, when operating as an ordinary 12-pulse rectifier, the THDI achieved was less than 14% in both prototypes, as expected and demonstrated in Section II. Moreover, the switched converters’ power contribution in both prototypes was less than 20%. The first prototype built in a laboratory is shown in Fig. 11(a) and (b), where one can observe the modified SEPIC rectifiers in detail. In order to illustrate the performance of the proposed PFCHMPR, the experimental results are presented in the following figures. In Fig. 12(a) shows the ac input current of the uncontrolled six-pulse rectifier (Rect-1), and in Fig. 12(b) shows the ac input current of the modified SEPIC converter connected to line A. In Fig. 12(c), the input-line current ia(in) is shown together with the line-to-neutral voltage va . It is important to emphasize that the current ia(in) is the result of the combination of currents ia1 and ia2 (ia(in) = ia1 + ia2 ). The input-line currents ia(in) , ib(in) , and ic(in) are shown in Fig. 12(d). These signals were acquired using a two-channel oscilloscope, and all signals shown in Fig. 12(d) were acquired with the trigger level set to channel 1 (voltage va ). The average input power of the uncontrolled six-pulse rectifier is shown in Fig. 13(a), and the average load power is shown in Fig. 13(b). The frequency spectrum of the input-line currents is shown in Fig. 14 and compared with the harmonic-content restrictions imposed by IEC61000-3-4. Analyzing the frequency spectrum of the input-line currents shown in Fig. 14, one can observe that the significant harmonic components are the 11th, 13th, 23th, and 25th, as expected. The second prototype built in a laboratory is shown in Fig. 15(a) and (b), where one can observe the boost converters in detail. It must be observed that the power rating of the lowfrequency single-phase isolating transformers available in a laboratory is much higher than the power rating processed by each boost converter and that, being so, the size of the controlled rectifiers deploying boost converters can be extremely reduced with a specific transformer designed for this application. Fig. 14. Frequency spectrum of the PFC-HMPR input-line currents— operating as a 12-pulse rectifier—deploying modified SEPIC converters. (a) Line A. (b) Line B. (c) Line C. Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. DE FREITAS et al.: EVALUATION OF A HYBRID MULTIPULSE RECTIFIER FOR UTILITY INTERFACE 3039 Fig. 15. (a) Prototype of the PFC-HMPR deploying boost converters. (b) Boost converters. Fig. 16. Main experimental results of the PFC-HMPR—operating as a 12-pulse rectifier—deploying boost converters. (a) Input-line current of Rect-1/Phase A. (b) Input-line current of Rect-2/Phase A. (c) Input-line current and line-to-neutral voltage of PFC-HMPR/Phase A. (d) Input-line currents of PFC-HMPR. Fig. 17. (a) Ch.1, dc-link voltage (V0 ); Ch.2, current through the resistive load (I0 ); Ch.M, average output power of PFC-HMPR (P0 ). (b) Ch.1, rectified input voltage of Rect-2 (VDC ); Ch.2, rectified input current of Rect-2 (IL ); Ch.M, average input power of Rect-2. Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply. 3040 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 54, NO. 6, DECEMBER 2007 compared with the harmonic-content restrictions imposed by IEC61000-3-4. In Table II, a summary of the PFC-HMPR experimental results is given. VII. C ONCLUSION This paper has shown the analysis, design, and evaluation of a novel hybrid power rectifier capable of achieving a near-unity power factor. The system consisted of single-phase switched converters connected to every leg of an ordinary six-pulse diode-bridge rectifier. Such structure allowed a programmable input-line current. The parallel converters’ power rating was a fraction of the total output power and depended on the desirable total harmonic distortion of the input-line current (THDI ). To impose a 12-pulse standard, less than 20% of the rated output power is processed by the switched converters. Thus, this proposed structure is recommended for high-power installations. The proposed structure provided a multipulse ac current without using phase-shifting transformers, interphase transformers, current-balancing transformers, and harmonicblocking transformers, providing a simplified design and a reduced cost. In addition to the converter analysis, experimental results of the two 6-kW systems were found to corroborate the proposed concept, the mathematical analysis, and the control strategy. R EFERENCES Fig. 18. Frequency spectrum of the PFC-HMPR input-line currents— operating as a 12-pulse rectifier—deploying boost converters. (a) Line A. (b) Line B. (c) Line C. The experimental results shown in Figs. 16–18 corroborate the analyzed theoretical results. Fig. 16(a) and (b) shows the input-line currents of the six-pulse diode-bridge rectifier and the boost converter, respectively. These currents are responsible in performing the 12-pulse waveform in the input-line current. The experimental input-line current is shown in Fig. 16(c) and (d), providing conditions to obtain a low THDI value as expected. The average input power of the uncontrolled six-pulse rectifier is shown in Fig. 17(a), and the average load power is shown in Fig. 17(b). The frequency spectrum of the PFC-HMPR input-line currents, deploying boost converters, is shown in Fig. 18 and [1] D. E. Rice, “A detailed analysis of six-pulse converter harmonic currents,” IEEE Trans. Ind. Appl., vol. 30, no. 2, pp. 294–304, Mar./Apr. 1994. [2] S. Hansen, L. Asiminoaei, and F. Blaabjerg, “Simple and advanced methods for calculating six-pulse diode rectifier line-side harmonics,” in Conf. Rec. 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Luiz Carlos Gomes de Freitas received the B.S., M.S., and Ph.D. degrees in electrical engineering from the Federal University of Uberlandia, Uberlandia, Brazil, in 2001, 2003, and 2006, respectively. He is currently with the Industry Division, Federal Center of Technological Education of Goiás (CEFET-GO/UnED-Jataí), Jataí, Brazil, where he has been working to establish research and education activities in the industry application of power electronic converters. His research interests include high-frequency power conversion, active power-factor correction techniques, multipulse rectifiers, and clean-power applications. 3041 Marcelo Godoy Simões (S’89–M’95–SM’98) received the B.Sc. and M.Sc. degrees from the University of São Paulo, Guaratinguetá, Brazil, in 1985 and 1990, respectively, and the Ph.D. degree from The University of Tennessee, Knoxville, in 1995. In 1998, he received the D.Sc. degree (Livre-Docência) from the University of São Paulo. He was a Faculty Member with the University of São Paulo from 1989 to 2000. Since 2000, he has been with the Colorado School of Mines, Golden, and has been working on the research of fuzzy logic and neural networks applications to power electronics, drives, and machines control. He was a Visiting Professor with the University of Technology of Belfort-Montbéliard, Belfort, France. He published the first book in the Portuguese language about fuzzy modeling. He published two pioneering books, one with CRC Press on the application of induction generators for renewable energy systems and the other with Wiley/IEEE on the integration of alternative sources of energy. Dr. Simões is a recipient of the National Science Foundation (NSF)–Faculty Early Career Development (CAREER) Award. This is the NSF’s most prestigious award for new faculty members, recognizing activities of teacher scholars who are considered most likely to become the academic leaders of the 21st century. He served IEEE in various capacities. Currently, he is the ViceChair for IEEE IAS Industry Automation and Control Committee and an Associate Editor for the IEEE TRANSACTIONS ON POWER ELECTRONICS. Carlos Alberto Canesin (S’87–M’97) received the B.S. degree in electrical engineering from the São Paulo State University (UNESP), Ilha Solteira, Brazil, in 1984, and the M.S. and Ph.D. degrees in electrical engineering from the Federal University of Santa Catarina, Florianópolis, Brazil, in 1990 and 1996, respectively. From June 1985 to early 1990, he was an Auxiliary Professor with the Department of Electrical Engineering (DEE), Faculdade de Engenharia de Ilha Solteira (FEIS), UNESP, and became an Assistant Professor in September 1990. From December 1996 to December 1998, he was an Assistant Ph.D. Professor with the DEE, FEIS, UNESP, where he became an Associate Professor in December 1998 and is currently an Associate Ph.D. Professor. He started the Power Electronics Laboratory, UNESP. He is a Research Engineer with the National Council of Technological and Scientific Development, Brazil, and the State of São Paulo Research Foundation, Brazil. From January 2003 to December 2004, he was an Editor with The Brazilian Journal of Power Electronics, edited by Brazilian Power Electronics Society (SOBRAEP). From November 2004 to October 2006, he was the President of SOBRAEP, where he is currently a permanent member of the Deliberative Council. His interests include soft-switching techniques, dc-to-dc converters, switching-mode power supplies, solar/photovoltaic energy applications, electronic fluorescent ballasts, active power-factor correction techniques, and educational research in power electronics. Dr. Canesin is an Associate Editor for the IEEE TRANSACTIONS ON POWER ELECTRONICS. Luiz Carlos de Freitas received the M.Sc. and Ph.D. degrees from the Federal University of Santa Catarina, Florianópolis, Brazil, in 1985 and 1992, respectively. He is currently a Professor with the Faculty of Electrical Engineering, Federal University of Uberlandia, Uberlandia, Brazil. He has authored a variety of papers particularly in the areas of softswitching, dc–dc, dc–ac, and ac–dc converters, electronic fluorescent ballasts, and multipulse power rectifier for clean-power systems. He has published in PESC’92, APEC’93, PESC’93, and IEEE TRANSACTION ON POWER ELECTRONICS (Jan. 1995), the evolution of a zero-voltage turn ON and turn OFF commutation cell that has been largely applied in power electronics research. Dr. de Freitas has been a member of the Power Electronic Research Group–Grupo de Eletrônica de Potência (NUEP), Federal University of Uberlandia, since 1991. Authorized licensed use limited to: COLORADO SCHOOL OF MINES. Downloaded on April 09,2010 at 16:24:31 UTC from IEEE Xplore. Restrictions apply.