Levels of Inverter by Using Solar Array Generation System

Similar documents
PERFORMANCE ANALYSIS OF SOLAR POWER GENERATION SYSTEM WITH A SEVEN-LEVEL INVERTER SUDHEER KUMAR Y, PG STUDENT CHANDRA KIRAN S, ASSISTANT PROFESSOR

Solar Power Generation with Capacitor Based Seven Level Inverter System

THE extensive use of fossil fuels has resulted in the global

PERFORMANCE ANALYSIS OF PV BASED BOOST - SEPIC CASCADED INVERTER FED INDUCTION MOTOR SYSTEM USING PI & FLC 1 Jasmine David, 2 Gopinath Mani,

A Seven Level Inverter using a Solar Power Generation System

A New Method In Grid Interconnecting Solar Generation System Using Multilevel Inverter

Design of Power Inverter for Photovoltaic System

PERFORMANCE ANALYSIS OF SEVEN LEVEL INVERTER WITH SOFT SWITCHING CONVERTER FOR PHOTOVOLTAIC SYSTEM

IJSRD - International Journal for Scientific Research & Development Vol. 4, Issue 01, 2016 ISSN (online):

An Interleaved High Step-Up Boost Converter With Voltage Multiplier Module for Renewable Energy System

A Novel Critical Analysis of Grid Integrated 15-Level Smart Inverter Topologies Using Various Intelligent Controllers

Modelling of Five-Level Inverter for Renewable Power Source

A Novel 2 - Stage Power Conditioning System for PV Power Generation Using FPGA

A Three Phase Seven Level Inverter for Grid Connected Photovoltaic System by Employing PID Controller

Phase Shift Modulation of a Single Dc Source Cascaded H-Bridge Multilevel Inverter for Capacitor Voltage Regulation with Equal Power Distribution

Multilevel Inverter for Grid-Connected PV SystemEmploying MPPT and PI Controller

A Single Phase Multistring Seven Level Inverter for Grid Connected PV System

Photovoltaic Controller with CCW Voltage Multiplier Applied To Transformerless High Step-Up DC DC Converter

A Single Switch DC-DC Converter for Photo Voltaic-Battery System

GRID CONNECTED HYBRID SYSTEM WITH SEPIC CONVERTER AND INVERTER FOR POWER QUALITY COMPENSATION

A New 5 Level Inverter for Grid Connected Application

NOVEL TRANSFORMER LESS ADAPTABLE VOLTAGE QUADRUPLER DC CONVERTER WITH CLOSED LOOP CONTROL. Tamilnadu, India.

A Solar Powered Water Pumping System with Efficient Storage and Energy Management

Figure.1. Block of PV power conversion system JCHPS Special Issue 8: June Page 89

A Five Level Inverter for Grid Connected PV System Employing Fuzzy Controller

SINGLE PHASE MULTI STRING FIVE LEVEL INVERTER FOR DISTRIBUTED ENERGY SOURCES

Sepic Topology Based High Step-Up Step down Soft Switching Bidirectional DC-DC Converter for Energy Storage Applications

Modeling of Single Stage Grid-Connected Buck-Boost Inverter for Domestic Applications Maruthi Banakar 1 Mrs. Ramya N 2

Comparison Of DC-DC Boost Converters Using SIMULINK

High Voltage-Boosting Converter with Improved Transfer Ratio

Boost Converter with MPPT and PWM Inverter for Photovoltaic system

MODELING AND SIMULATION OF MODIFIED BRIDGELESS CONVERTER AND A SINGLE PHASE SEVEN-LEVEL INVERTER FOR A SOLAR POWER GENERATION SYSTEM

Harmonic mitigation in secondary distribution by using cascaded based nine-level inverters in solar generation stations

CAPACITOR VOLTAGE BALANCING IN SINGLE PHASE SEVEN-LEVEL PWM INVERTER

IOSR Journal of Electrical and Electronics Engineering (IOSR-JEEE) e-issn: ,p-ISSN: , PP

Analysis and Design of a Bidirectional Isolated buck-boost DC-DC Converter with duel coupled inductors

Implementation of Voltage Multiplier Module in Interleaved High Step-up Converter with Higher Efficiency for PV System

SIMULATION OF HIGH BOOST CONVERTER FOR CONTINUOUS AND DISCONTINUOUS MODE OF OPERATION WITH COUPLED INDUCTOR

Modelling and Simulation of High Step up Dc-Dc Converter for Micro Grid Application

A Novel Cascaded Multilevel Inverter Using A Single DC Source

Online Dynamic Topology Type PV Grid - Connected Inverter for Efficiency Expansion

Implementation of Microcontroller Based PWM Scheme for PV Multilevel Inverter

Design and Simulation of Simplified Five-Level and Seven-Level Inverters Using Modified PWM For PV Applications

An Improved Single Input Multiple Output Converter

Experimental Implementation of a Low-Cost Single Phase Five-Level Inverter for Autonomous PV System Applications Without Batteries

Implementation of a Voltage Multiplier based on High Step-up Converter using FLC

REDUCED SWITCHING LOSS AC/DC/AC CONVERTER WITH FEED FORWARD CONTROL

Simulation of Three Phase Cascaded H Bridge Inverter for Power Conditioning Using Solar Photovoltaic System

Transformer less Grid Connected Inverter with Leakage Current Elimination

FPGA based Transformer less grid connected inverter using boost converter for Photo voltaic applications

MAXIMUM POWER POINT TRACKING OF PV ARRAYS UNDER PARTIAL SHADING CONDITION USING SEPIC CONVERTER

Grid connected Boost-Full-Bridge photovoltaic microinverter system using Phase Opposition Disposition technique and Maximum Power Point Tracking

A NOVEL High Step-Up Converter with a Voltage Multiplier Module for a Photo Voltaic System

Modular Grid Connected Photovoltaic System with New Multilevel Inverter

Three-Phase Five-Level Flying Capacitor Multilevel inverter For Harvesting Solar Power

ISSN Vol.07,Issue.01, January-2015, Pages:

SIMULATION, DESIGN AND CONTROL OF A MODIFIED H-BRIDGE SINGLE PHASE SEVEN LEVEL INVERTER 1 Atulkumar Verma, 2 Prof. Mrs.

Delhi Technological University (formerly DCE) Delhi-42, India

A High Step-Up DC-DC Converter

Multilevel inverter with cuk converter for grid connected solar PV system

Hardware Implementation of Interleaved Converter with Voltage Multiplier Cell for PV System

TYPICALLY, a two-stage microinverter includes (a) the

29 Level H- Bridge VSC for HVDC Application

Design And Analysis Of Dc-Dc Converter For Photovoltaic (PV) Applications.

Bidirectional Ac/Dc Converter with Reduced Switching Losses using Feed Forward Control

Three Phase Five Level Inverter with SPWM fed from Hybrid Renewable Energy Based Induction Motor Drive

An Interleaved Flyback Inverter for Residential Photovoltaic Applications

ADVANCED HYBRID TRANSFORMER HIGH BOOST DC DC CONVERTER FOR PHOTOVOLTAIC MODULE APPLICATIONS

IMPROVED TRANSFORMERLESS INVERTER WITH COMMON-MODE LEAKAGE CURRENT ELIMINATION FOR A PHOTOVOLTAIC GRID-CONNECTED POWER SYSTEM

International Journal of Emerging Technology in Computer Science & Electronics (IJETCSE) ISSN: Volume 11 Issue 1 NOVEMBER 2014.

ISSN Vol.07,Issue.06, July-2015, Pages:

Integrating Coupled Inductor and Switched- Capacitor based high gain DC-DC converter for PMDC drive

Matlab/Simulink Modeling of Novel Hybrid H-Bridge Multilevel Inverter for PV Application

Grid Connected Photovoltaic Micro Inverter System using Repetitive Current Control and MPPT for Full and Half Bridge Converters

MATLAB Implementation of a Various Topologies of Multilevel Inverter with Improved THD

A Three Phase Power Conversion Based on Single Phase and PV System Using Cockcraft-Walton Voltage

DC-DC booster with cascaded connected multilevel voltage multiplier applied to transformer less converter for high power applications

Fuzzy Controlled Capacitor Voltage Balancing Control for a Three Level Boost Converter

International Journal of Scientific & Engineering Research, Volume 4, Issue 5, May ISSN

Modified Multilevel Inverter Topology for Driving a Single Phase Induction Motor

A DC DC Boost Converter for Photovoltaic Application

ECEN 613. Rectifier & Inverter Circuits

Grid Connected Photovoltic System Using High Gain DC-DC Converter With Voltage Multiplier Circuit

Multilevel Inverter for Single Phase System with Reduced Number of Switches

CHAPTER 6 ANALYSIS OF THREE PHASE HYBRID SCHEME WITH VIENNA RECTIFIER USING PV ARRAY AND WIND DRIVEN INDUCTION GENERATORS

DEPARTMENT OF ELECTRICAL AND ELECTRONICS ENGINEERING St. JOHNS COLLEGE OF ENGINEERING & TECHNOLOGY YERRAKOTA, YEMMIGANUR, KURNOOL, (A.P.

Hybrid Five-Level Inverter using Switched Capacitor Unit

Closed Loop Controlled ZV ZCS Interleaved Boost Converter System

ANALYSIS OF PWM STRATEGIES FOR Z-SOURCE CASCADED MULTILEVEL INVERTER FOR PHOTOVOLTAIC APPLICATIONS

Smart Time-Division-Multiplexing Control Strategy for Voltage Multiplier Rectifier

Photovoltaic Power injected to the Grid with Quasi Impedence Source Inverter

INTERNATIONAL JOURNAL OF PURE AND APPLIED RESEARCH IN ENGINEERING AND TECHNOLOGY

Quasi Z-Source DC-DC Converter With Switched Capacitor

SINGLE PHASE THIRTY ONE LEVEL INVERTER USING EIGHT SWITCHES TOWARDS THD REDUCTION

Voltage Controlled Non Isolated Bidirectional DC-DC Converter with High Voltage Gain

A New Single-Phase Multilevel Inverter with Reduced Number of Switches for Solar Applications

A Five-Level Single-Phase Grid-Connected Converter for Renewable Distributed Systems

A Dual Half-bridge Resonant DC-DC Converter for Bi-directional Power Conversion

Implementation of Single Stage Three Level Power Factor Correction AC-DC Converter with Phase Shift Modulation

An Interleaved High-Power Flyback Inverter with Extended Switched-Inductor Quasi-Z-Source Inverter for Pv Applications

Transcription:

Levels of Inverter by Using Solar Array Generation System Ganesh Ashok Ubale M.Tech (Digital Systems) E&TC, Government College of Engineering, Jalgaon, Maharashtra. Prof. S.O.Dahad, M.Tech HOD, (E&TC Department), Government College of Engineering, Jalgaon, Maharashtra. ABSTRACT: The New solar generation system which is composed of a dc/dc power converter and a novel seven-level inverter. Dc/dc converter integrates a dc dc boost converter and a transformer to convert the output voltage of the solar PV into two independent voltage sources with multiple connections. This new sevenlevel inverter is configured by a capacitor selection circuit and a full-bridge power converter, by using cascading connection. The capacitor selection circuit converts the duel output voltage of dc dc converter into a three-level dc voltage, and full-bridge converter converts this three-level dc voltage into a seven-level ac voltage. By the above procedure the proposed solar power generation system generates a sinusoidal output current that is in phase with the utility voltage and is fed into the utility. The salient features of the proposed seven-level inverter are that only six power electronic switches are used, and only one power electronic switch is switched at high frequency at any time. Exciting concept: Multilevel inverter topologies include the diode clamped, the flying-capacitor, and the cascade H- bridge types. Diode-clamped and flying capacitor multilevel inverters use capacitors to develop several voltage levels. Since it is hard process to control the voltage of capacitors. Since it is difficult to create an identical voltage technology in both the diode-clamped and the flying capacitor, the power circuit is complicated by the increase in the voltage levels that is necessary for a multilevel inverter. A 1-phase 7-level inverter, twelve power electronic switches are needed in both the diode-clamped and the flying-capacitor topologies. Identical voltage converter is used in the cascade H- bridge multilevel inverter to allow implementing additional attached circuit, so the cascade H-bridge multilevel inverter is suitable for applications with increased voltage levels. Duel H-bridge inverters with a dc bus voltage of multiple relationships can be connected in cascade to produce a 1-phase 7-level inverter and eight power electronic switches are used. Various novel topologies for sevenlevel inverters have been proposed. A single-phase seven-level gridconnected inverter has been developed for a photovoltaic system. This seven-level grid-connected inverter contains six power electronic switches. Three dc capacitors are used to construct the three voltage levels, which results in that balancing the voltages of the capacitors is more complex. Proposed Concept: Multi-level inverter converter, configured by a level generation part and a polarity generation part, is proposed. There, only power electronic switches of the level generation part switch in high frequency. A modular multilevel inverter with a new modulation method is applied to the photovoltaic grid-connected generator. The modular multilevel inverter is similar to the cascade H-bridge type. For this, a new modulation method is proposed to achieve dynamic capacitor voltage balance. Overcome the problem of partial shading of individual photovoltaic sources that are connected in series. The dc bus of a full-bridge inverter is configured by several individual dc blocks, where each dc block is composed of a solar cell, a power electronic switch, and a diode. Controlling the power electronics of the dc blocks will result in a multilevel dc-link voltage to supply a full-bridge Page 388

inverter and to simultaneously overcome the problems of partial shading of individual photovoltaic sources Introduction: The use of fuels has resulted in the global problem of greenhouse effect. As the supplies of fuels are depleted in the future, they will become increasingly expensive. Since solar energy is becoming more important since it produces less pollution and the cost of fossil fuel energy is rising, while the cost of solar arrays is decreasing. In particular, small-capacity distributed power generation systems using solar energy may be widely used in residential applications in the near future. The power conversion interface is important to grid connected solar power generation systems because it converts the dc power generated by a solar cell array into ac power and feeds this ac power into the utility grid. An inverter is necessary in the power conversion interface to convert the dc power to ac power. Since the output voltage of a solar cell array is low, a dc dc power converter is used in a smallcapacity solar power generation system to boost the output voltage, so it can match the dc bus voltage of the inverter. The power conversion efficiency of the power conversion interface is important to insure that there is no waste of the energy generated by the solar cell array. The active devices and passive devices in the inverter produce a power loss. The power losses due to active devices include both conduction losses and switching losses. Conduction loss results from the use of active devices, while the switching loss is proportional to the voltage and the current changes for each switching and switching frequency. A filter inductor is used to process the switching harmonics of an inverter, so the power loss is proportional to the amount of switching harmonics. The voltage change in each switching operation for a multilevel inverter is reduced in order to improve its power conversion efficiency and the switching stress of the active devices. The amount of switching harmonics is also attenuated, so the power loss caused by the filter inductor is also reduced. PROPOSED CONCEPT CONFIGURATION: Fig. 1.Configuration of the proposed solar power generation system. Above figure shows the configuration of the proposed solar power generation system. The proposed solar power generation system is composed of a solar cell array, a dc dc power converter, and a new seven-level inverter. The solar cell array is connected to the dc dc power converter. The dc dc power converter converts the output power of the solar cell array into two independent voltage sources with multiple relationships, which are supplied to the seven-level inverter. The full-bridge power converter further converts this three-level dc voltage to a seven-level ac voltage that is synchronized with the utility voltage. In this way, the proposed solar power generation system generates a sinusoidal output current that is in phase with the utility voltage and is fed into the utility, which produces a unity power factor. As can be seen, this new seven-level inverter contains only six power electronic switches, so the power circuit is simplified. POWER CONVERTER: DC-DC type power converter: The DC DC power converter incorporates a boost converter and a current-fed forward converter. The boost converter is composed of an inductor LD, a power electronic switch SD1, and a diode, DD3. The boost converter charges capacitor C2 of the sevenlevel inverter. The current-fed forward converter is composed of an inductor LD, power electronic switches SD1 and SD2, a transformer, and diodes DD1 and DD2. The current-fed forward converter charges Page 389

capacitor C1 of the seven-level inverter. The inductor LD and the power electronic switch SD1 of the current-fed forward converter are also used in the boost converter. Fig. 2(a) shows the operating circuit of the dc dc power converter when SD1 is turned ON. The solar cell array supplies energy to the inductor LD. When SD1 is turned OFF and SD2 is turned ON, its operating circuit is shown in Fig. 2(b). Accordingly, capacitor C1 is connected to capacitor C2 in parallel through the transformer, so the energy of inductor LD and the solar cell array charge capacitor C2 through DD3 and charge capacitor C1 through the transformer and DD1 during the offstate of SD1. The boost converter is operated in the continuous conduction mode (CCM). The voltage of C2 can be represented as Since the output current of the solar power generation system will be controlled to be sinusoidal and in phase with the utility voltage, the output current of the sevenlevel inverter is also positive in the positive half cycle of the utility. The operation of the seven-level inverter in the positive half cycle of the utility can be further divided into four modes, as shown in Fig. 3. Fig. 3. Operation of the seven-level inverter in the positive half cycle, (a) mode 1, (b) mode 2, (c) mode 3, and (d) mode 4. Mode of operation: Fig.2. Operation of dc dc power converter: (a) SD 1 is on and (b) SD 1 is off. WORKING PRINCIPLE: SEVEN-LEVEL INVERTER: As seen in Fig. 1, the seven-level inverter is composed of a capacitor selection circuit and a full-bridge power converter, which are connected in cascade. The operation of the sevenlevel inverter can be divided into the positive half cycle and the negative half cycle of the utility. For ease of analysis, the power electronic switches and diodes are assumed to be ideal, while the voltages of both capacitors C1 and C2 in the capacitor selection circuit are constant and equal to Vdc /3 and 2Vdc /3, respectively Stage 1: The operation of mode 1 is shown in Fig. 3(a). Both SS1 and SS2 of the capacitor selection circuit are OFF, so C1 is discharged through D1 and the output voltage of the capacitor selection circuit is Vdc /3. S1 and S4 of the full-bridge power converter are ON. At this point, the output voltage of the sevenlevel inverter is directly equal to the output voltage of the capacitor selection circuit, which means the output voltage of the seven-level inverter is Vdc /3. Stage 2: The operation of mode 2 is shown in Fig. 3(b). In the capacitor selection circuit, SS1 is OFF and SS2 is ON, so C2 is discharged through SS2 and D2 and the output voltage of the capacitor selection circuit is 2Vdc /3. S1 and S4 of the full-bridge power converter are ON. At this point, the output voltage of the seven-level inverter is 2Vdc /3. Page 390

Stage 3: The operation of mode 3 is shown in Fig. 3(c). In the capacitor selection circuit, SS1 is ON. Since D2 has a reverse bias when SS1 is ON, the state of SS2 cannot affect the current flow. Therefore, SS2 may be ON or OFF, to avoiding switching of SS2. Both C1 and C2 are discharged in series and the output voltage of the capacitor selection circuit is Vdc. S1 and S4 of the full-bridge power converter are ON. At this point, the output voltage of the seven-level inverter is Vdc. Stage 4: The operation of mode 4 is shown in Fig. 3(d). Both SS1 and SS2 of the capacitor selection circuit are OFF. The output voltage of the capacitor selection circuit is Vdc /3. Only S4 of the full-bridge power converter is ON. Since the output current of the seven-level inverter is positive and passes through the filter inductor, it forces the antiparallel diode of S2 to be switched ON for continuous conduction of the filter inductor current. At this point, the output voltage of the sevenlevel inverter is zero. Control Topologies: wherev m and Vtri are the modulation signal and the amplitude of carrier signal in the PWM circuit, respectively. The output voltage of the seven-level inverter can be written as Where kpwm is the gain of inverter, which can be written as Fig. 5(a) shows the simplified model for the sevenlevel inverter when the utility voltage is smaller than Vdc /3. The closed loop transfer function can be derived as Where Gc is the current controller and ki is the gain of the current detector. The 7-level inverter is controlled by the currentmode. And PWM is use to generate the control signals for the switches. The voltage of the seven-level inverter must be switched in duel levels. One level of the output voltage is higher than the utility voltage in order to increase the filter inductor current, and the other level of the output voltage is lower than the utility voltage, in order to decrease the filter inductor current. In this way, the output current of the seven-level inverter can be controlled to trace a reference current. Accordingly, the output voltage of the seven-level inverter must be changed in accordance with the utility voltage.in the positive half cycle, when the utility voltage is smaller than Vdc /3, the seven-level inverter must be switched between modes 1 and 4 to output a voltage of Vdc /3 or 0. Within this voltage range, S1 is switched in PWM. The duty ratio d of S1 can be represented as Fig. 5.Model of the seven-level inverter under different range of utility voltage, (a) in the range of Page 391

smaller than Vdc /3, (b) in the range of (Vdc /3, 2Vdc /3), (c) in the range of higher than 2Vdc /3. CONTROL BLOCK: The proposed solar power generation system consists of a dc dc power converter and a seven-level inverter. The seven-level inverter converts the dc power into high quality ac power and feeds it into the utility and regulates the voltages of capacitors C1 and C2. The dc dc power converter supplies two independent voltage sources with multiple relationships and performs maximum power point tracking (MPPT) in order to extract the maximum output power from the solar cell array. Fig. 8. Control block: (a) seven-level inverter and (b) dc dc power converter. A. Seven-Level Inverter: Fig. 8(a) shows the control block diagram for the seven-level inverter. The control object of the sevenlevel inverter is its output current, which should be sinusoidal and in phase with the utility voltage. The utility voltage is detected by a voltage detector, and then sent to a phase-lock loop (PLL) circuit in order to generate a sinusoidal signal with unity amplitude. The voltage of capacitor C2 is detected and then compared with a setting voltage. The compared result is sent to a PI controller. Then, the outputs of the PLL circuit and the PI controller are sent to a multiplier to produce the reference signal, while the output current of the sevenlevel inverter is detected by a current detector. B. DC DC Power Converter: Below figure shows the control block diagram for the dc dc power converter. The input for the DC-DC power converter is the output of the solar cell array. A ripple voltage with a frequency that is double that of the utility appears in the voltages of C1 and C2, when the seven-level inverter feeds real power into the utility. The MPPT function is degraded if the output voltage of solar cell array contains a ripple voltage. Therefore, the ripple voltages in C1 and C2 must be blocked by the dc dc power converter to provide improved MPPT. Accordingly, dual control loops, an outer voltage control loop and an inner current control loop, are used to control the dc dc power converter. Since the output voltages of the DC-DC power converter comprises the voltages of C1 and C2, which are controlled by the seven-level inverter, the outer voltage control loop is used to regulate the output voltage of the solar cell array. The inner current control loop controls the inductor current so that it approaches a constant current and blocks the ripple voltages in C1 and C2. The perturbation and observation method is used to provide MPPT [24]. The output voltage of the solar cell array and the inductor current are detected and sent to a MPPT controller to determine the desired output voltage for the solar cell array EXPERIMENTAL RESULTS: To verify the performance of the proposed solar power generation system, a prototype was developed with a controller based on the DSP chip TMS320F28035. The power rating of the prototype is 500 W, and the prototype was used for a single-phase utility with 110 V and 60 Hz Page 392

MATLAB MODEL: P&O MODEL: OUTPUT WAVEFORMS: Input voltage and current Page 393

photovoltaic systems: MPPT, current and voltage control, IEEE Trans. Ind. Informat., vol. 8, no. 2, pp. 241 254, May. 2012. [3] M. Hanif, M. Basu, and K. Gaughan, Understanding the operation of a Z-source inverter for photovoltaic application with a design example, IET Power Electron., vol. 4, no. 3, pp. 278 287, 2011. Input power Pulses P1&p2 CONCLUSION: The solar power generation system to convert the dc energy generated by a solar cell array into AC energy that is fed into the utility. Solar power generation system is composed of a dc dc power converter and a seven level inverter. The seven-level inverter contains only six power electronic switches, which simplifies the circuit configuration. Furthermore, only one power electronic switch is switched at high frequency at any time to generate the seven-level output voltage. This reduces the switching power loss and improves the power efficiency. The voltages of the two dc capacitors in the proposed seven-level inverter are balanced automatically, so the control circuit is simplified. In addition, the proposed solar power generation system can effectively trace the maximum power of solar cell array. REFERENCES: [1] Z. Zhao, M. Xu,Q. Chen, J. S. Jason Lai, andy. H. Cho, Derivation, analysis, and implementation of a boost buck converter-based high-efficiency pv inverter, IEEE Trans. Power Electron., vol. 27, no. 3, pp. 1304 1313, Mar. 2012. [2] R. A. Mastromauro, M. Liserre, and A. Dell Aquila, Control issues in single-stage [4] J.-M. Shen, H. L. Jou, and J. C. Wu, Novel transformer-less grid connected power converter with negative grounding for photovoltaic generation system, IEEE Trans. Power Electron., vol. 27, no. 4, pp. 1818 1829, Apr. 2012. [5] N. Mohan, T. M. Undeland, and W. P. Robbins, Power Electronics Converters, Applications and Design, Media Enhanced 3rd ed. New York, NY, USA: Wiley, 2003. [6] K. Hasegawa and H. Akagi, Low-modulationindex operation of a five level diode-clamped Pwminverter with a dc-voltage-balancing circuit for a motor drive, IEEE Trans. Power Electron., vol. 27, no. 8, pp. 3495 3505, Aug. 2012. [7] E. Pouresmaeil, D. Montesinos-Miracle, and O. Gomis-Bellmunt, Control scheme of three-level NPC inverter for integration of renewable energy resources into AC grid, IEEE Syst. J., vol. 6, no. 2, pp. 242 253, Jun. 2012. [8] S. Srikanthan and M. K. Mishra, DC capacitor voltage equalization in neutral clamped inverters for DSTATCOM application, IEEE Trans. Ind. Electron., vol. 57, no. 8, pp. 2768 2775, Aug. 2010. [9] M. Chaves, E. Margato, J. F. Silva, and S. F. Pinto, New approach in back-to-back m-level diode clamped multilevel converter modeling and direct current bus voltages balancing, IET power Electron. vol. 3, no.4, pp.578 589,2010. Page 394