PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China Design and Implementation of a 125kW T-NPC PV Inverter Yuelin, Wu, National Active Distribution Network Technology Research Center (Beijing Jiaotong University), Beijing, China, 13121480@bjtu.edu.cn Guohong, Zeng, National Active Distribution Network Technology Research Center (Beijing Jiaotong University), Beijing, China, ghzeng@bjtu.edu.cn Jingdou, Liu, National Active Distribution Network Technology Research Center (Beijing Jiaotong University), Beijing, China, jdliu@bjtu.edu.cn Gaosheng, Song, MITSUBISHI ELECTRIC&ELECTRONICS (SHANGHAI) CO., LTD., Shanghai, China, SongGS@mesh.china.meap.com Jian, Sun, MITSUBISHI ELECTRIC&ELECTRONICS (SHANGHAI) CO., LTD., Shanghai, China, SunJian@mesh.china.meap.com Abstract This paper presents a design method and its implementation of PV inverter, in which the Ttype NPC three-level (T-NPC) topology is adopted, to achieve the benefits of low voltage stress, low switching losses, low harmonic distortion and high conversion efficiency. The design procedure is presented in detail, including power losses calculation, efficiency analysis, power stack designing, filter designing. The effectiveness of the proposed PV inverter and its design method is validated by experimental results. 1. Introduction Driven by the increasing environmental concerns, photovoltaic (PV) power generation systems are attracting the market and research interest. PV grid-connected inverters, acting as the interface between the grid and PV power system, have been studied widely. Although two-level inverter is commonly adopted, three-level topology is found to be more suitable for distributed PV generation systems. As one of the most typical three-level inverter, neutralpoint-clamped (NPC) inverter, has been researched in many literatures[1-2], with the advantage of low device voltage stress , superior output voltage quality, low switching losses and low du/dt. To simplified the control algorithm and reduce the number of devices, topology of T-type three-level neutral-point-clamped converter (T-NPC) is derived[3], as shown in Fig.1. P +Udc/2 L1 L2 Ua C1 T1 D1 T2 T3 D2 D3 T4 D4 Ub O Grid O Uc C2 -Udc/2 N Fig. 1. Cf Topology of T-NPC PV inverter Fig. 2. Single-phase of T-NPC topology Compare to that in NPC, each bridge leg in T-NPC reduces two diodes as shown in Fig.2, so lower conduction losses can be achieved and the operation algorithm can be simplified, while the other advantages of NPC are kept. Considering the lower DC link voltage available in distributed PV generation systems, T-NPC grid-connected PV inverter is more exceptive in efficiency and cost comparing to NPC inverters. © VDE VERLAG GMBH · Berlin · Offenbach, Germany · ISBN 978-3-8007-3658-4 320 PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China This paper attempts to give the power losses calculation method and design procedure of TNPC PV inverter with high efficiency for power and space. To verify the effectiveness and reliability of T-NPC inverter, temperature rise experiment has been performed. 2. Efficiency analysis This section explains the operation principle of T-NPC and gives the calculation method of power losses to design dissipation system. Based on the method, a calculation example is given to show the high efficiency of T-NPC. 2.1. Operation principle of T-NPC The single-phase of T-NPC PV inverter is shown in Fig.2, in which T1~T4 are IGBT switches, D1~D4 are FWDs, C1 and C2 are DC link capacitors. Assume that the direction of current flowing out from bridge leg is positive. Generally, the output terminal of the bridge leg can be connected to positive (P), neutral (O), or negative (N) side of DC link, and the output voltage can be set to three values, as shown in Table 1. Operation mode T1 T2 T3 T4 Output voltage P ON ON OFF OFF +Udc/2 O OFF ON ON OFF 0 N OFF OFF ON ON -Udc/2 Table. 1. Switching operation modes of IGBT The driving signals of T1 and T2 are complemented to T3 and T4 respectively, T1 and T4 cannot be turned on simultaneously. To illustrate the working process and control principle of T-NPC, the switch commutation procedure is analyzed in detail. Six current commutation diagrams are deduced, as shown in Fig.3, and can be described as follow. P C1 T2 T1 T3 D1 D2 D3 T4 D4 C1 D1 D2 C2 P D3 T4 C2 D4 T1 T2 (2)Mode O, Uo=0,IL>0 D1 T1 T2 O D3 T4 D4 N C2 D4 C1 D1 T3 T1 D1 T2 T3 D2 D3 T4 D4 O D2 D3 T4 C2 D4 N (4)Mode P, Uo=Udc/2,IL<0 D3 T4 (3)Mode N, Uo=-Udc/2,IL>0 O D2 D2 P C1 T3 D1 T3 N P C1 T1 T2 O N (1)Mode P, Uo=Udc/2,IL>0 Fig. 3. T1 T3 O N C2 C1 T2 O C2 P P (5)Mode O, Uo=0,IL<0 N (6)Mode N, Uo=-Udc/2,IL<0 Current commutations of T-NPC topology © VDE VERLAG GMBH · Berlin · Offenbach, Germany · ISBN 978-3-8007-3658-4 321 PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China (1) The direction of output current is positive, T1 and T2 are turned on, T3 and T4 are turned off, current commutates over T1 and the output voltage Uo=Ud/2. (2) The direction of output current is positive, T2 and T3 are turned on, T1 and T4 are turned off, current commutates over T2 and D3 and the output voltage Uo=0. (3) The direction of output current is positive, T3 and T4 are turned on, T1 and T2 are turned off, current commutates over D4 and the output voltage Uo=-Ud/2. (4) The direction of output current is negative, T1 and T2 are turned on, T3 and T4 are turned off, current commutates over D1 and the output voltage Uo=Ud/2. (5) The direction of output current is negative, T2 and T3 are turned on, T1 and T4 are turned off, current commutates over T3 and D2 and the output voltage Uo=0. (6) The direction of output current is negative, T3 and T4 are turned on, T1 and T2 are turned off, current commutates over T4 and the output voltage Uo=-Ud/2. From the six operating mode, it can be deduced that the operation algorithm can be simplified compared with NPC. 2.2. Power losses Calculation To design the inverter efficiently and to handle the power dissipation effectively, power losses of each device should be estimated precisely. The losses of each power device is consisted of conduction losses PON, and switching losses Psw. Conduction losses Two factors need to be considered in calculating conduction losses. One is the conduction time in a modulation period, and the other is the conduction current. During one modulation period, assume only one transition of P-O-N or N-O-P is permitted. Conduction voltage drop and instantaneous conduction power can be described as: VT VT 0 iT rT (1) 2 (2) Pon VT 0iT iT rT Where rT, VT0, VT and iT are conduction internal resistance, initial saturation voltage, conduction voltage drop, conduction current, respectively. The energy losses of power devices in one carrier cycle can be calculated with: EON T VT iL DTc [VT 0 +I m sin( t )rT ]I m sin( t ) DTc (3) Where Tc is period of carrier wave, D is duty ratio, a function of modulation ratio M and power factor angle θ. Imsinωt is load current and Im is the peak current. Then the average conduction losses in one modulation period can be calculated with: PON T 1 T0 EON T d t 1 2 2 [VT 0 +I m sin( t )rT ]I m sin( t ) Dd t 1 (4) Where T0 =2π, [θ1~θ2] is the conduction time interval. Switching losses The switching losses of power devices are proportional to current and DC voltage. Turn-on energy losses Eon.nor, turn-off energy losses Eoff.nor of IGBT and reverse recovery energy Err.nor of FWD in normal working condition are shown in the datasheet, they should be converted in actual working condition according to Udc and Ion, Ioff, Irr, which mean DC link voltage, turn-on current, turn-off current of IGBT, reverse recovery current of FWD. The switching frequency is fs, the switching power losses in one modulation period can be calculated with: Psw on 1 1 Tc T0 2 1 Eon.nor I on U dc dt I nor U dcnor © VDE VERLAG GMBH · Berlin · Offenbach, Germany · ISBN 978-3-8007-3658-4 (5) 322 PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China Psw Psw off rr 1 1 Tc T0 1 1 Tc T0 2 Eoff .nor 1 2 Err .nor 1 I off U dc dt I nor U dcnor (6) I rr U dc dt I nor U dcnor (7) Where Psw-on, Psw-off and Psw-rr are IGBT turn-on losses, IGBT turn-off losses, FWD reverse recovery losses, respectively. Inor and Udcnor are output current and DC voltage in normal working condition. 2.3. Efficiency Calculation Example In this paper, MITSUBISHI 4in1 module CM400ST-24S1 is adopted in T-NPC PV inverter to design with high efficiency for power and space, 1200V chip for half bridge (T1/D1 and T4/D4), 650V chip for AC SW (T2/D2 and T3/D3). Test condition is shown as Table 2. Modulation DC voltage Switching frequency Heat sink temperature SPWM 850V 8kHz 95℃ Power factor Gate resistance Modulation ratio Fundamental frequency 0.9 1.5Ω 0.605 50Hz Table. 2. Test condition for efficiency calculation The power losses calculation results of T-NPC according to equation (1) ~ (7) are shown in Table 3. Device T1/T4 T2/T3 D2/D3 D1/D4 Io(A)-rms 255A PON-T(W) 82.3 86.5 96.5 0.6 Psw-T(W) 91.8 5.8 11.4 1 P_sum(W) 174.1 92.3 107.9 1.6 P_total(W) Efficiency 751.8 98.38% Table. 3. Calculation results of T-NPC Based on the calculation results of power losses above, suitable fan and heat sink can be chosen as dissipation system. 3. Design of T-NPC inverter Power stack is one of the important devices in a PV inverter which have great impact on stability and reliability. This section designs a modular power stack consisting of power device, DC link capacitor and current sensor etc. As another important element in a PV inverter, LCL filter designing procedure is also presented in this section. 3.1. Design of T-NPC power stack Fig.4 shows the schematic diagram of T-NPC power stack, filtering the DC voltage through DC link capacitor, feeding the DC power to IGBT modules, converting the DC power into AC power which can regulate the voltage amplitude and frequency by control the switching devices in T-NPC inverter. It has the functions of over-voltage protection, over-current protection, over-heat protection, short circuit protection and fault locking. © VDE VERLAG GMBH · Berlin · Offenbach, Germany · ISBN 978-3-8007-3658-4 323 PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China DC+ 0 C1 Heat sink P DCC2 N O P O N P O AC AC N AC CT1 CT2 AC.out.U AC.out.V CT3 AC.out.W Drive board-A Drive board-B Drive board-C Drive signal A Drive signal B Drive signal C Fig. 4. Schematic diagram of T-NPC power stack To reduce system volume and stray parameters, it integrate the power devices, cooling system and sensors into a high power density stack as shown in Fig.5 and Table 4. 6 5 4 3 2 1 Fig. 5. 3.2. The figure of power stack Number Device 1 Fan 2 DC link laminated busbar 3 DC link capacitor 4 Power device CM400ST-S21 5 Current sensor 6 Drive board Table. 4. Devices in the power stack Design of LCL filter LCL filter is preferred to L filter because its switching harmonic attenuation with smaller reactive element is more effective. Thus the cost and the weight of the inverters are reduced. So LCL filter is adopted in this paper. The design of the filter is mainly based on the harmonic voltage. Harmonic current is generated by harmonic voltage and inverter-side inductor, the output current is the one which passes through from filter capacitor and grid-side inductor. The choice of filter elements is a tradeoff considering switching harmonics attenuation, reactive power consumption, relative short-circuit voltage drop, grid decoupling, filter losses, and the costs and sizes of filter elements. The equivalent circuit of inverter with LCL-filter is shown in Fig.6. © VDE VERLAG GMBH · Berlin · Offenbach, Germany · ISBN 978-3-8007-3658-4 324 PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China ig Lg e Fig. 6. L C u Equivalent circuit of inverter with LCL-filter Where e, u, Lg, L, C are grid voltage, inverter output voltage, grid-side inductor, inverter-side inductor, filter capacitor, respectively. Filter capacitor C needs to be satisfied with: C P 3 2 f1 Em 2 (8) Where P, Em, f1, λ are rated power of inverter, RMS phase voltage of grid, fundamental frequency of grid, the ratio of the fundamental reactive power absorbed by filter capacitor C to rated power of inverter P, respectively. The resonance frequency fres of inverter should satisfied with equation (9) as followed to avoiding resonance peak emerges at too low frequency and too high frequency band. (9) 10 f1 f res 0.5 f sw The fsw is switching frequency. The range of resonance frequency can be further reduced as: (10) Based on engineering experience, 1450Hz can be chosen as resonance frequency. According to equation (11) as follow: 1kHz f res f res 1 2 2kHz Lg LC Lg (11) L Take cost and volume into consideration, LCL-filter parameters C=180uF, L=190uH, Lg=100uH are chosen in this paper. 4. Experimental method and results The parameters of the T-NPC PV inverter are shown in Table 5. Parameter Value and unit Rated capacity 139kVA(125kW, PF=0.9) Rated output voltage 315Vrms Rated output current 255Arms Rang of output frequency 47.5~51.5Hz Power factor 0.9ind~0.9cap DC link voltage 480~850V DC link capacitor 1300uF Switching frequency 8~10kHz Power module 1200V/600V/400A Table.5. Parameters of T-NPC PV inverter To verify the stability and reliability of T-NPC power stack, H-bridge circuit is composed of two T-type bridges connected an inductor load (L=640uH) shown in Fig.7. Output voltages of the two bridges are U1 and U2 (AC-O). Voltage difference ΔU can be adjusted by changing the phase angle θ of U1 and U2, so rated output power can be achieved. Fig.8 shows phasor diagram of H-bridge circuit, it can work in both inverter operation and rectifier operation. © VDE VERLAG GMBH · Berlin · Offenbach, Germany · ISBN 978-3-8007-3658-4 325 PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China P P T1 D2 D1 D5 D3 U1 O T2 T5 T3 D7 D6 T7 T6 U2 L + ΔU - O U1 I ΔU θ U2 ΔU T4 D4 D8 θ T8 N N Fig.7. H-bridge circuit for testing T-NPC U2 I U1 (a) Inverter operation (b) Rectifier operation Fig.8. Phasor diagram of H-bridge circuit Fig.9 shows the waveforms in inverter operation (a) and rectifier operation (b). (a) (b) Fig.9. Experimental waveforms of inverter operation and rectifier operation Where CH1 is DC link ripple current (100A/div), CH2 is U1 (500V/div), CH3 is ΔU (500V/div), CH4 is load current I (200A/div). After about 1 hour, the temperature of some main components in the power stack have been measured, results are shown in Table 6. Component Initial temperature(℃) DC link capacitor Final temperature(℃) Temperature rise(℃) Inverter operation Rectifier operation Inverter operation Rectifier operation 18 37.5 41 19.5 23 DC laminated busbar 18 32 32 14 14 AC output busbar 18 64.5 57 46.5 39 Table. 6. Results of temperature rise experiment The experimental results indicate that the T-NPC PV inverter can meet the working requirements and reach the industry standard of Technical Specification of Grid-connected PV inverter (NB/T 32004-2013). 5. Conclusion A T-NPC PV inverter has been presented in this paper. Calculation method of power losses and design procedure of power stack and LCL filter are expressed. Because of the high power density power stack, the PV inverter can achieve more efficiency, less space and less stray parameters. Experimental results proved the effectiveness and reliability. © VDE VERLAG GMBH · Berlin · Offenbach, Germany · ISBN 978-3-8007-3658-4 326 PCIM Asia 2015, 24 – 26 June 2015, Shanghai, China 6. References [1] J. Rodriguez, S. Bernet, P. K. Steimer, and I. E. Lizama, A Survey on Neutral-PointClamped Inverters, IEEE Transactions on Industrial Electronics, vol. 57, pp. 2219-2230, 2010. [2] A. Yazdani and R. Iravani, A Neutral-Point Clamped Converter System for Direct-Drive Variable-Speed Wind Power Unit, IEEE Transactions on Energy Conversion, vol. 21, pp. 596607, 2006. [3] Schweizer, M., Lizama, I., Friedli, T., & Kolar, J. W. (2010, November). Comparison of the chip area usage of 2-level and 3-level voltage source converter topologies. In IECON 201036th Annual Conference on IEEE Industrial Electronics Society (pp. 391-396). IEEE. [4] Liu Fei, Zha Xiaoming, & Duan Shanxu. (2010). Design and Research on Parameter of LCL Filter in Three-Phase Grid-Connected Inverter [J]. 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