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IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 1, JANUARY 2014 281 High-Frequency AC-Link PV Inverter Mahshid Amirabadi, Student Member, IEEE, Anand Balakrishnan, Hamid A. Toliyat, Fellow, IEEE, and William C. Alexander, Member, IEEE Abstract—In this paper, a high-frequency ac-link photovoltaic (PV) inverter is proposed. The proposed inverter overcomes most of the problems associated with currently available PV inverters. In this inverter, a single-stage power-conversion unit fulfills all the system requirements, i.e., inverting dc voltage to proper ac, stepping up or down the input voltage, maximum power point tracking, generating low-harmonic ac at the output, and input/output isolation. This inverter is, in fact, a partial resonant ac-link converter in which the link is formed by a parallel inductor/capacitor (LC) pair having alternating current and voltage. Among the significant merits of the proposed inverter are the zero-voltage turn-on and soft turn-off of the switches which result in negligible switching losses and minimum voltage stress on the switches. Hence, the frequency of the link can be as high as permitted by the switches and the processor. The high frequency of operation makes the proposed inverter very compact. The other significant advantage of the proposed inverter is that no bulky electrolytic capacitor exists at the link. Electrolytic capacitors are cited as the most unreliable component in PV inverters, and they are responsible for most of the inverters’ failures, particularly at high temperature. Therefore, substituting dc electrolytic capacitors with ac LC pairs will significantly increase the reliability of PV inverters. A 30-kW prototype was fabricated and tested. The principle of operation and detailed design procedure of the proposed inverter along with the simulation and experimental results are included in this paper. To evaluate the long-term performance of the proposed inverter, three of these inverters were installed at three different commercial facilities in Texas, USA, to support the PV systems. These inverters have been working for several months now. Index Terms—Inverters, photovoltaic (PV) systems, zerovoltage switching. I. I NTRODUCTION D ISTRIBUTED energy (DE) systems have been receiving wide acceptance during the last decade. Among the different types of distributed energy resources, photovoltaics (PV) and wind are more popular. Power electronics is an integral part of these DE systems as they convert generated electricity into utility-compatible forms. However, the addition of power electronics usually adds costs as well as certain reliability issues [1], [2]. Manuscript received May 10, 2012; revised August 12, 2012 and October 24, 2012; accepted December 10, 2012. Date of publication February 6, 2013; date of current version July 18, 2013. M. Amirabadi and H. A. Toliyat are with Texas A&M University, College Station, TX 77843 USA (e-mail: [email protected]; [email protected]). A. Balakrishnan was with Texas A&M University, College Station, TX 77843 USA. He is now with Freescale Semiconductor, Inc., Tempe, AZ 85284 USA (e-mail: [email protected]). W. C. Alexander is with Ideal Power Converters, Inc., Austin, TX 78731 USA (e-mail: [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/TIE.2013.2245616 Fig. 1. Centralized converter-based PV system. Fig. 2. Multiple-stage conversion systems used in PV applications. Referring to a report by Sandia National Laboratories [3], inverters are responsible for most of the PV system incidents triggered in the field. They are costly and complex, and their current mean time to first failure is unacceptable. Inverter failures contribute to unreliable PV systems, which may result in loss of confidence in renewable technology. Therefore, to achieve long-term success in the PV industry, new power converters with higher reliability and longer lifetimes are required [3], [4]. In past designs, a centralized converter-based PV system was the most commonly used type of PV system. As shown in Fig. 1, in this system, PV modules are connected to a threephase voltage-source inverter. The output of each phase of the inverter is connected to an LC filter to limit the harmonics. A three-phase transformer, which steps up the voltage and provides galvanic isolation, connects the inverter to the utility [1]. Low-frequency transformers are considered poor components mainly due to their large size and low efficiency. To avoid low-frequency transformers, multiple-stage conversion systems are widely used in PV systems [1], [5], [6]. The most common topology, represented in Fig. 2, includes a dc–ac voltage source inverter and a dc–dc converter. Commonly, the dc–dc converter contains a high-frequency transformer [1]. Despite offering a high boosting capability and galvanic isolation, this converter consists of multiple power-processing stages which lower the efficiency of the overall system. Moreover, bulky electrolytic capacitors are required for the dc link. Electrolytic capacitors, which are very sensitive to temperature, may cause severe 0278-0046/$31.00 © 2013 IEEE 282 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 1, JANUARY 2014 Fig. 3. Proposed PV inverter. reliability problems for inverters, and an increase of even 10 ◦ C can halve their lifetime [7]. Therefore, PV inverters containing electrolytic capacitors are not expected to provide the same lifetime as PV modules. Consequently, the actual cost of the PV system involves the periodic replacement of the inverter, which increases the levelized cost of energy extracted from the PV system [8]. Considering the aforementioned problems, it is essential to support the design of alternative inverter topologies to reduce the cost of inverters while increasing their reliability [7]. Several solutions have been proposed to partially overcome these problems. Reference [5] introduces a transformerless topology in which the ground leakage current is minimized; however, the voltage cannot change over a wide range. Reference [9] proposes an integrated solution for a PV/FCbased hybrid distributed generation system to eliminate the requirement of high-voltage buffer capacitors for inverters. This type of inverter, nonetheless, does not provide isolation. In [10], large electrolytic capacitors are replaced by small film capacitors; however, the proposed solution is merely applicable in low-power PV systems. A number of resonant PV inverters have been proposed as well [11], [12]. A high-frequency link PV power conditioning system which includes a high-frequency resonant inverter, a rectifier, and a line-commutated inverter, operating near unity power factor, has been proposed in [11]. Three other resonant PV inverters are introduced in [12]: highfrequency resonant inverter cycloconverter, high-frequency resonant inverter–rectifier pulsewidth-modulated voltage source inverter, and high-frequency resonant inverter–rectifier lineconnected inverter. All of these resonant PV inverters contain multiple stages. The first and fourth inverters require a large inductor for dc current link, and the third configuration needs a large dc-link capacitor. A high-frequency ac-link PV inverter which overcomes most of the problems associated with existing inverters is proposed in this paper. The proposed inverter is a partial resonant converter, i.e., only a small time interval is allocated to resonance in each cycle. Hence, while the resonance facilitates the zero-voltage turn-on of the switches, the LC link has low reactive ratings and low power dissipation. Due to the soft switching, the switching losses in this inverter are negligible and the frequency of the link can be very high, resulting in a compact link inductor. Moreover, the zero-voltage turn-on results in reduced voltage stress on the switches. The other merit of the proposed inverter is the elimination of the dc link and the replacement of the bulky electrolytic capacitors employed in the multiple-stage conversion systems with an LC pair having alternating current and voltage. The present authors have introduced the partial resonant PV inverter in [13], without including experimental verification. Other applications of the proposed inverter were studied in [14]–[18]. This paper presents the results of the simulation and experimental test of a 30-kW prototype, along with a detailed design procedure. II. P ROPOSED C ONFIGURATION AND P RINCIPLES OF O PERATION Fig. 3 represents the proposed PV inverter. Four unidirectional switches forming the PV switch bridge interface the PV modules to the link, and six bidirectional switches forming the ac-side switch bridge connect the same link to the load. Since PV cells cannot absorb electrical energy, the associated switch bridge is formed merely by unidirectional switches. As will be discussed in Section IV, the unidirectional switches at the PV side would need to be replaced by bidirectional switches if the inverter is required to inject reactive power during the grid fault. The converter transfers power entirely through the link inductor. This inverter is, in essence, a dc–ac buck–boost converter in which the link is charged through the PV and then discharged into the output phases. The charging and discharging take place alternately. The frequency of charge/discharge is called the link frequency and is typically much higher than the output line frequency. Complimentary switches on each leg facilitate the charging and discharging of the link in a reverse direction, leading to an alternating current in the link. The alternating current of the link results in better utilization of the inductor and capacitor. Fig. 4 depicts the link current in a soft-switching ac-link buck–boost inverter. As represented in this figure, between each charging and discharging, there is a resonating mode during which none of the switches conduct and the LC link resonates to facilitate the zero-voltage turn-on of the switches. The input and output current pulses, resulting from alternating charge and discharge, have to be precisely modulated to meet the references. The link will be charged through the PV modules; however, there are two output phase pairs to be charged through the link. In order to have better control on the AMIRABADI et al.: HIGH-FREQUENCY AC-LINK PV INVERTER 283 turn-on of S0 and S3. The simple equivalent circuit shown in Fig. 8(a) can be used to analyze the circuit during mode 1. The link current (iLink ) during mode 1 can be calculated using the following: diLink (t) dt t 1 VPV × t iLink (t) = + iLink (0). VPV dt = L L VPV = L (1) (2) 0 Fig. 4. Link current in an ac-link buck–boost inverter. Fig. 5. Link current in the proposed inverter. output currents and minimized input and output harmonics, a link discharging mode is split into two modes. This concept is presented in Fig. 5. The general control strategy is to turn on each switch such that its turn-on occurs at zero voltage and to turn off the switches when the input or output currents meet their references. The negligible switching losses of this inverter allows the use of slower switches with higher current density, possibly with soft-switched optimized structures or, alternatively, higher link frequencies. Similar to a dc–dc buck–boost converter, the input and output of this inverter appear as voltage sources. Therefore, filter capacitors are placed across the input and output terminals (as represented in Fig. 3). The basic operating modes and relevant waveforms of this inverter are represented in Figs. 6 and 7, respectively. The link cycle is divided into 12 modes, with six power transfer modes and six resonating modes. The link is energized from the input during modes 1 and 7 and is de-energized to the outputs during modes 3, 5, 9, and 11. Modes 2, 4, 6, 8, 10, and 12 are devoted to resonance. A detailed description of the modes of operation is as follows. 1) Mode 1 (Energizing): Before the start of mode 1, proper switches on the PV switch bridge, which are supposed to conduct during mode 1, are activated (S0 and S3 in Figs. 6 and 7); however, they do not immediately conduct since they are reverse biased. Once the link voltage, which is resonating before mode 1, becomes equal to the PV voltage, the proper switches (S0 and S3) are forward biased, initiating mode 1. This results in the zero-voltage In (1) and (2), L and VPV are the link inductance and PV voltage, respectively. During this mode, the link voltage is equal to VPV , as shown in Fig. 7. The link is charged until the PV current, averaged over a cycle time, meets its reference value. The switches located on the PV switch bridge are then turned off. As mentioned earlier, the link capacitor acts as a buffer across the switches during their turn-off, which results in low turn-off losses. 2) Mode 2 (Partial resonance): During mode 2, none of the switches conduct and the link resonates, causing the link voltage to decrease. In this mode, the circuit behaves as a simple LC circuit, as depicted in Fig. 8(b). The following equation describes the behavior of the LC circuit (ic (t), VLink (t), and C are the capacitor current, link voltage, and link capacitance, respectively) ic (t) = C dVLink (t) . dt (3) As shown in Fig. 8(b), the current passing through the capacitor is equal to “−iLink (t)” and the inductor current is positive, resulting in negative dVLink (t)/dt. This implies that the link voltage is decreasing. Once the link voltage becomes negative, the controller determines which output phase pairs have to be charged through the link during modes 3 and 5. The sum of the output reference currents at any instant is zero. One of them is the highest in magnitude and of certain polarity while the two lower ones are of the opposite polarity. Although there are three phase pairs in a three-phase system, considering the polarity of the current in each phase, only two of these phase pairs can provide a path of current when connected to the link. Therefore, the charged link transfers power to the output by discharging into two phase pairs. The two phase pairs are the one formed by the phase having the highest and second highest reference currents and the one formed by the phase having the highest and lowest reference currents, where the reference currents are sorted as highest, second highest, and lowest in terms of magnitude alone. For example, if Ia_o = −10 A, Ib_o = 7 A, and Ic_o = 3 are the three output reference currents, then phase pairs ab and ac are chosen to transfer power to the output. The phase pair with smaller line-to-line voltage is the first one the link is discharged to. For example, if Vab_o = 300 V and Vac_o = 400 V, the link will be first discharged into phase pair ab. 284 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 1, JANUARY 2014 Fig. 6. Circuit behavior in different modes. (a) Mode 1. (b) Modes 2, 4, and 6. (c) Mode 3. (d) Mode 5. In Figs. 6 and 7, it is assumed that the link will be discharged into output phase pairs ab and ac during modes 3 and 5, respectively. During mode 2, the output switches which are supposed to conduct during modes 3 and 5 are turned on (S18, S22, and S23 in Figs. 6 and 7); however, being reverse biased, they do not conduct immediately. Once the link voltage reaches Vab−o (assuming Vab−o is smaller than Vac−o ), switches S18 and S22 will be forward biased and will start to conduct, initiating mode 3. 3) Mode 3 (De-energizing): The output switches (S18 and S22) are turned on at zero voltage to allow the link to be discharged into the chosen phase pair until the current of phase b at the output side averaged over a cycle time meets its reference. At this point, S22 will be turned off, initiating another resonating mode. 4) Mode 4 (Partial resonance): The link is allowed to swing to the voltage of the other output phase pair chosen during mode 2. For the case shown in Figs. 6 and 7, the link voltage swings from Vab−o to Vac−o . AMIRABADI et al.: HIGH-FREQUENCY AC-LINK PV INVERTER 285 represented in Fig. 9. The principle of operation of the inverter with galvanic isolation is similar to that of the original inverter. Fig. 10 represents the system control block diagram. III. D ESIGN P ROCEDURE AND A NALYSIS In this part, a detailed design procedure will be presented. For the sake of simplicity, the resonating time, which is much shorter than the power transfer time at full power, will be neglected. Moreover, de-energizing the link is assumed to take place in one equivalent mode instead of two modes in each power cycle (each power cycle is half the link cycle). For this, the link is assumed to be discharged into a virtual output phase with the output equivalent current and voltage. Considering the fact that the phase carrying the maximum output current is involved in the de-energizing of the link during both modes 3 and 5, the output equivalent current can be calculated as follows: Io−eq = Fig. 7. Voltage and current waveforms showing the behavior of the circuit during different modes of operation. 3Io,peak π (4) where Io,peak is the output peak phase current. It can be shown that the output equivalent voltage is equal to Vo−eq = πVo,peak cos θo 2 (5) where Vo,peak and cos(θo ) are the output peak phase voltage and output power factor, respectively. The following equations describe the behavior of the circuit during the energizing (charging) and de-energizing (discharge) of the link: Fig. 8. Equivalent circuit during (a) energizing and (b) resonating modes. 5) Mode 5 (De-energizing): During mode 5, the link discharges to the selected output phase pair until there is just sufficient energy left in the link to swing to a predetermined voltage (Vmax ), which is slightly higher than the maximum input and output line-to-line voltages. At the end of mode 5, all the switches are turned off, allowing the link to resonate during mode 6. 6) Mode 6 (Partial resonance): During mode 6, the link voltage swings to Vmax , and then, its absolute value decreases. Proper switches, which are supposed to conduct during mode 7, are turned on during this mode; however, they do not conduct as they are reversed biased. Modes 7 to 12 are similar to modes 1 to 6, except that the link charges and discharges in the reverse direction. For this, the complimentary switch on each leg is switched when compared with the ones switched during modes 1 to 6. As seen in Fig. 6, the input- and output-side switches never conduct simultaneously, which implies that the input and output are isolated. However, if galvanic isolation is required, a singlephase high-frequency transformer can be added to the link. In this case, the magnetizing inductance of the transformer can play the role of the link inductance. This configuration is VPV × tcharge L Vo−eq × tdischarge . = L ILink, Peak = (6) ILink, Peak (7) In the aforementioned equations, ILink,peak , tcharge , and tdischarge represent the peak of the link current, the total charging time during mode 1, and the total discharging time during modes 3 and 5, respectively. Equations (6) and (7) determine the relationship between the charging and discharging times as follows: tcharge = Vo−eq × tdischarge . VPV (8) On the other hand, the average of the PV current, which is equal to the PV power over PV voltage, can be determined based on the peak of the link current as follows: 1 (9) IPV = (ILink,Peak × tcharge ). T In the aforementioned equation, T is the period of the link current. Using (6)–(9), the following can be derived: VPV P ILink,Peak = 2 1+ . (10) VPV Vo−eq This expression determines the link peak current based on the nominal power (P ) and input and output voltages. Equation (10) can be rewritten as follows: ILink,Peak = 2 × (IPV + Io−eq ). (11) 286 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 1, JANUARY 2014 Fig. 9. Proposed inverter with galvanic isolation. Fig. 10. Control block diagram of the proposed inverter. This implies that the PV and output currents determine the link peak current. The frequency of the link can be chosen based on the power rating of the system and the characteristics of the available switches. Once the link frequency is chosen, the following determines the inductance of the link: L= 1 VPV ILink, Peak 2f 1 + VPV Vo−eq . TABLE I PARAMETERS OF THE D ESIGNED I NVERTER (S IMULATED AND FABRICATED ) (12) Link capacitance (C) is chosen so as to keep the resonating periods within 5% of the link cycle at full power. It should be noted that the resonance time is not negligible at low power levels. In this converter, the main sources of power dissipation are the conduction loss of the switches and the core and copper losses of the inductor. The switching losses are negligible, as the switches turn on at zero voltage and their turn-off is capacitance buffered. The core and copper losses of the inductor are proportional to the link frequency and the link rms current, respectively. Therefore, by increasing the power level, the former decreases whereas the latter increases. IV. S IMULATION AND E XPERIMENTAL R ESULTS A 30-kW PV inverter has been designed, and the parameters are summarized in Table I. The link capacitance in the prototype is 0.8 μF, which is much higher than the amount achieved through the design procedure. Although the resonating time is preferred to be as short as possible, it should be long enough to allow the microcontroller or processor to turn on the proper switches prior to the next energizing or de-energizing mode. Due to the processor limitations, the link capacitance has been chosen as 0.8 μF in the prototype. The designed PV inverter has been simulated in PSim, and Figs. 11–21 represent the simulation results. In Figs. 11–14 and 16, the link capacitance is 0.8 μF. AMIRABADI et al.: HIGH-FREQUENCY AC-LINK PV INVERTER 287 Fig. 15. Link current and voltage at full power, using 0.1-μF link capacitance. Fig. 11. PV current and voltage at full power. Fig. 16. Link current and voltage at 15 kW. Fig. 12. AC-side current and voltage at full power. Fig. 17. AC-side current and voltage when the irradiance drops from 850 to 650 w/m2 . Fig. 13. Link voltage at full power. Fig. 18. AC-side current and voltage when the temperature changes from 25 ◦ C to 50 ◦ C. Fig. 14. Link current at full power. Fig. 11 represents the input voltage and current at full power. The input voltage is 700 V, and the input current is 43 A. The output current along with the output voltage are illustrated in Fig. 12. In this case, the power factor is close to unity and the frequency is 60 Hz. Figs. 13 and 14 represent the link voltage and current, respectively. The link current and voltage are both alternating. Since the frequency of the link (7200 Hz) is much higher than the frequency of the line (60 Hz), the link voltage and current are illustrated in these figures over a short time interval. As it can be seen in these figures that the predetermined voltage to which the link resonates during mode 6 is set at 850 V. Moreover, the peak of the link current is 200 A, although during mode 1, 288 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 1, JANUARY 2014 Fig. 19. Proposed inverter configuration for providing LVRT. Fig. 20. AC-side current and voltage when the AC-side voltage drops to 10% of its nominal value (at t = 0.016 s). Fig. 21. PV current and voltage when the AC-side voltage drops to 10% of its nominal value (at t = 0.016 s). the link current is increased to 180 A. During mode 2, as the link resonates, its peak current reaches 200 A. As previously mentioned, the higher the link capacitance is, the longer the resonating time will be. Fig. 15 depicts the link current and voltage at full power using 0.1-μF link capacitance. As seen in this figure, the peak of the link current in this case is very close to the calculated value [using (10)] which is 180 A. At lower power levels, the peak of the link current will be lower than that of the full power. Fig. 16 represents the link voltage and current at 15 kW. As seen in this figure, the predetermined voltage to which the link resonates during mode 6 is still set at 850 V. Although the PV voltage has dropped to 350 V, the maximum output line-to-line voltage is still 679 V. The peak of the link current in this case is about 147 A. Again, the resonating time is noticeable due to the use of 0.8-μF link capacitance. As mentioned earlier, one of the merits of this inverter is the possibility of both stepping up and down the voltage. In Figs. 11–15, the peak of the line-to-line output voltage is lower than the input voltage so the inverter is, in fact, stepping down the voltage. Meanwhile, in Fig. 16, the input voltage is lower than the peak of line-to-line output voltage, and thus, the inverter is stepping up the voltage. Maximum power point tracking (MPPT) is essential in PV inverters. Similar to other PV inverters, the proposed inverter can perform MPPT as it can follow any references within its range. Fig. 17 represents the ac-side current/voltage when the irradiance drops from 850 to 650 w/m2 (at t = 20 ms). The temperature is assumed to be 25 ◦ C. Fig. 18 depicts the ac-side current/voltage when the temperature increases from 25 ◦ C to 50 ◦ C (at t = 20 ms). Although a change in temperature usually takes place gradually, in order to see the effect of this change on the behavior of the proposed inverter, a sharp change is considered in this simulation. For the case shown in Fig. 18, the irradiance is 850 w/m2 . Another important issue to study is the behavior of the proposed inverter during the grid fault. Although this inverter does not have a dc link, it can inject reactive power into the grid during voltage sags. To provide the low-voltage ride-through (LVRT) feature, the PV-side switches should be replaced by bidirectional switches, as illustrated in Fig. 19. The principle of operation of the inverter during the grid fault is slightly different from that of the normal operation. During mode 1, the link will be charged through the PV up to a certain level. Then, similarly to the normal operation, it will be discharged into the output phases; however, no net energy is taken from the link in this case. After the output-side switches are turned off, the energy stored in the link is discharged into the input. Once the link is completely discharged, it will be recharged from the PV with current flowing in the opposite direction. In this case, the PV-side filter capacitor absorbs the energy discharged into the input. Therefore, if injecting reactive power to the grid is necessary during the grid faults, this capacitor needs to be chosen such that it meets the system requirements. This method of control can also be used for normal operation. In the case of the normal operation, the remnant energy of the link after turning off the output-side switches, which needs to be discharged into the PV-side capacitor, is much lower than that of the grid-fault case. Fig. 20 depicts the ac-side current/voltage when the output voltage drops to 10% of its nominal value (at t = 0.016 s). As seen, the power factor is almost zero in this case. The PV current and voltage are represented in Fig. 21. The active power drawn from PV in this case is equal to the losses of the inverter. AMIRABADI et al.: HIGH-FREQUENCY AC-LINK PV INVERTER 289 Fig. 22. Thirty-kilowatt prototype. Fig. 25. power. Link current (50 A/division) and voltage (400 Vdc/division) at full Fig. 23. DC-side current (20 A/division) and voltage (400 Vdc/division). Fig. 26. AC-side current (20 A/division) and voltage (200 V/division) of the grid-tied 30-kW inverter running at 25 kW. Fig. 24. AC-side voltage (200 Vdc/division) and current (30 A/division). A 30-kW prototype, as shown in Fig. 22, has been designed, fabricated, and tested. This inverter has been installed in a commercial facility and has been connected to the grid for the test procedure. The parameters of the fabricated prototype are the same as those of the simulated inverter. The link capacitance was chosen as 0.8 μF. Fig. 23 represents the input voltage and current at full power. The input voltage at full power is 700 V, and the input current is set at 45 A. The difference between this current and the input current in the simulation (43 A) is due to the power losses which could not be modeled in the simulation. The output current and voltage are depicted in Fig. 24. Similar to the simulation, the peak of the output current is regulated at 51 A. Fig. 25 represents the link voltage and current waveforms while the prototype is running at full power. The peak of the current is almost 200 A, which is the same as the simulation result. Fig. 27. FFT of the line-to-neutral grid voltage. Fig. 26 represents the ac-side current and voltage when the inverter is operating at 25 kW. As seen in Figs. 24 and 26, the ac-side current contains some low-frequency harmonics, the source of which is the low-frequency components of the grid voltage. Due to the existence of nonlinear loads, the grid voltage is polluted by harmonics. Fig. 27 shows the fast Fourier transform (FFT) of the line-to-neutral voltage when the inverter is turned off. To better show the low-frequency harmonics, the zoomed-in image of the FFT is represented. Regardless of the type of inverter employed, these low-frequency voltage harmonics generate low-frequency current harmonics. Fig. 28 depicts the FFT of the line current corresponding to Fig. 26. As seen in this figure, the line current contains the same harmonics as the grid voltage. Studying the causes of the power line 290 IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS, VOL. 61, NO. 1, JANUARY 2014 Fig. 28. FFT of the line current when the inverter is operating at 25 kW. Fig. 31. Fig. 29. 15 kW. PV current (5 A/division) and voltage (200 Vdc/division) at 6.2 kW. Link current (50 A/division) and voltage (400 Vdc/division) at Fig. 32. AC-side current (20 A/division) and side voltage (200 Vdc/division) at 6.2 kW. Fig. 30. Link current (50 A/division) and voltage (400 Vdc/division) at 3.75 kW. distortion and the solutions to improve it is beyond the scope of this paper. The link current and voltage when the prototype is operating at 15 kW and the PV voltage is 350 V are represented in Fig. 29. As shown in this figure, the peak of the link current is 144 A, which is very close to the simulation results. This inverter is capable of operating at very low power levels as well. Fig. 30 represents the link current and voltage at 3.75 kW (12.5% of the rated power). As seen in this figure, at this power level, the resonating time is longer than the power transfer time. Fig. 31 depicts the PV current and voltage at almost 20% of the rated power. The ac-side current and voltage when the inverter is operating at this power level are shown in Fig. 32. Similar to the full-power operation, the ac-side current contains 5th, 7th, 11th, and 13th harmonics, which are generated by the low-frequency Fig. 33. CEC efficiency curve of the proposed inverter. components of the grid voltage. In the case of low power, the fundamental component of the current is smaller as compared with that in the case of full power; however, the low-frequency harmonics are the same in both cases. Hence, the total harmonic distortion is higher in the case of low power. Fig. 33 represents the measured California Energy Commission (CEC) efficiency of this inverter. As shown in this figure, the efficiency of the proposed inverter varies between 94% and 96.5% throughout the whole power range. V. C ONCLUSION In this paper, a reliable and compact PV inverter has been proposed. This inverter is a partial resonant ac-link converter in which the link is formed by an LC pair having alternating AMIRABADI et al.: HIGH-FREQUENCY AC-LINK PV INVERTER current and voltage. The proposed converter guarantees the isolation of the input and output. However, if galvanic isolation is required, the link inductance can be replaced by a singlephase high-frequency transformer. The elimination of the dc link and low-frequency transformer makes the proposed inverter more compact and reliable compared with other types of PV inverters. In this paper, the principle of operation of the proposed converter along with the detailed design procedure has been presented. The performance of the proposed converter has been evaluated through both simulation and experimental results. R EFERENCES [1] S. Chakraborty, B. Kramer, and B. Kroposki, “A review of power electronics interfaces for distributed energy systems towards achieving low-cost modular design,” Renew. Sustain. Energy Rev., vol. 13, no. 9, pp. 2323–2335, Dec. 2009. [2] Y. Huang, F. Z. Peng, J. Wang, and D. W. Yoo, “Survey of the power conditioning system for PV power generation,” in Proc. IEEE PESC, Jun. 18–22, 2006, pp. 1–6. [3] S. Atcitty, J. E. Granata, M. A. Quinta, and C. A. 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S. Bhat and S. B. Dewan, “Resonant inverters for photovoltaic array to utility interface,” IEEE Trans. Aerosp. Electron. Syst., vol. 24, no. 4, pp. 377–386, Jul. 1988. [13] M. Amirabadi, A. Balakrishnan, H. A. Toliyat, and W. Alexander, “Soft switched AC-link direct-connect photovoltaic inverter,” in Proc. IEEE Int. Conf. Sustain. Energy Technol., 2008, pp. 116–120. [14] A. Balakrishnan, H. A. Toliyat, and W. C. Alexander, “Soft switched AC link buck boost converter,” in Proc. IEEE APEC, 2008, pp. 1334–1339. [15] A. Balakrishnan, M. Amirabadi, H. Toliyat, and W. Alexander, “Soft switched AC-link wind power converter,” in Proc. IEEE ICSET, 2008, pp. 318–321. [16] M. Amirabadi, H. A. Toliyat, and W. C. Alexander, “Battery-utility interface using soft switched AC link buck–boost converter,” in Proc. IEMDC, 2009, pp. 1299–1304. [17] M. Amirabadi, H. A. Toliyat, and W. C. Alexander, “Battery-utility interface using soft switched AC link supporting low voltage ride through,” in Proc. ECCE, 2009, pp. 2606–2613. [18] A. K. Balakrishnan, “Soft switched high frequency AC-link converter,” M.S. thesis, Elect. Comput. Eng. Dept., Texas A&M Univ., College Station, TX, USA, 2008. 291 Mahshid Amirabadi (S’05) received the B.S. degree in electrical engineering from Shahid Beheshti University, Tehran, Iran, in 2002 and the M.S. degree in electrical engineering from the University of Tehran, Tehran, in 2006. She is currently working toward the Ph.D. degree at Texas A&M University, College Station, TX, USA. Her main research interests and experience include the design, analysis, and control of power converters, renewable energy systems, and variablespeed drives. Anand Balakrishnan received the Bachelor of Engineering degree in electrical and electronics engineering from the College of Engineering, Anna University, Tamil Nadu, India, in 2006 and the M.Sc. degree in electrical engineering from Texas A&M University, College Station, TX, USA, in December 2008. He is presently a Systems and Applications Engineer with Freescale Semiconductor, Inc., Tempe, AZ, USA. His interests include renewable energy systems, power electronics, and embedded systems. Hamid A. Toliyat (S’87–M’91–SM’96–F’08) received the B.S. degree in electrical engineering from Sharif University of Technology, Tehran, Iran, in 1982, the M.S. degree in electrical engineering from West Virginia University, Morgantown, WV, USA, in 1986, and the Ph.D. degree in electrical engineering from the University of Wisconsin, Madison, WI, USA, in 1991. He is currently Raytheon Endowed Professor of Electrical Engineering with Texas A&M University, College Station, TX, USA. He has supervised more than 50 graduate students and published over 385 technical papers. He is the holder of 12 issued and pending U.S. patents. He is the author of DSPBased Electromechanical Motion Control (CRC Press, 2003), the coeditor of Handbook of Electric Motors—2nd Edition (Marcel Dekker, 2004), and the coauthor of Electric Machines—Modeling, Condition Monitoring, and Fault Diagnosis (CRC Press, 2013). Dr. Toliyat is the recipient of the Space Act Award from NASA and the Texas A&M Select Young Investigator Award in 1999, the Eugene Webb Faculty Fellow Award in 2000, the Schlumberger Foundation Technical Awards in 2000 and 2001, the E. D. Brockett Professorship Award in 2002, the Distinguished Teaching Award in 2003, the prestigious Cyrill Veinott Award in Electromechanical Energy Conversion from the IEEE Power Engineering Society in 2004, the Texas Engineering Experiment Station Faculty Fellow Award in 2006, and the Patent and Innovation Award from Texas A&M University System Office of Technology Commercialization in 2007. He is also the recipient of the IEEE Power Engineering Society Prize Paper Awards in 1996 and 2006, the 2006 IEEE Industry Applications Society Transactions Third Prize Paper Award, and the 2008 Industrial Electronics Society Electric Machines Committee Second Best Paper Award. William C. Alexander (M’95) received the B.S. and M.S. degrees in engineering from the University of Texas, Austin, TX, USA, in 1976 and 1979, respectively. He is the Chief Technology Officer and Founder of Ideal Power Converters, Inc., Austin, a company formed to develop the soft-switched ac-link power converter for motor-drive, wind-power, and solarinverter applications. He is a prolific inventor with over 15 granted U.S. patents. He has over 25 years of experience in engineering including mechanical, electrical, electronic, and embedded-software and hardware description language engineering. Mr. Alexander is a Registered Professional Engineer in the State of Texas.