COMPARATIVE STUDY BETWEEN SINUSOIDAL PULSE WIDTH MODULATION TECHNIQUE AND SIX-STEP TECHNIQUE FOR VOLTAGE SOURCE INVERTER &UUN BIN AKAL This Report Is Submittkd In Partial Fulfillment of Requirements For The Degree of Bachelor In Electrical Engineering (Industrial Power) Faculty Of Electrical Engineering Kolej Universiti Teknikal Kebangsaan Malaysia 4 MAY 2006 ABSTRACT E s project discuss about inverters that transfers power from a DC source to an AC load. Inverters are widely used in motor drives, unintermptible power supplies (ups), 5ppliances run from an automobile battery and photovoltaic utility grid interface. This project presents a comparative study of performance between Sinusoidal Pulse Width Modulation (SPWM) and SIX STEP technique for voltage source inverter. The circuit of these techniques has been designed and analyzed using simulations software packages such as MATLAB 6.5 and ORCAD 9.1. The performance comparison of both techniques xesented in terms of the appropriate Total Harmonic Distortion (THD), Fast Fourier rransformed (FFT) and Spectrum Analysis of the output waveforms. Basically, Total Harmonic Distortion describes the quality of the output waveform. Fast Fourier rransformed shows the selected signal wave and the analysis of voltage or current .elative to fundamental or DC. While, Spectrum analysis explains a filter requirement in Aiminating higher harmonic and unwanted noise. This project is divided into three .mportance stages of study. Firstly, to study on how to generate the switching SPWM iignals to drive the power switches ( i.e MOSFETs , IGBTs) and to construct the :apologies using Sirnulink-MATLAB 6.5 for SPWM and SIX-STEP inverters. Secondly, nvolves the discussion and performance comparison in terms of THD, FFT and 3armonic Spectrum for SIX-STEP and SPWM. Finally, this project presents the :onstruction of schematics of the SIX-STEP and SPWM inverters using ORCAD 9.1 where the schematics can be represented as real practical experiniental set-up. Simulation .esults using ORCAD 9.1 are in close agreement with simulation results using Simulink. ABSTRAK Projek ini membincangkan mengenai penyongsang yang menukarkan arus terus kepada arus ulangalik. Penyongsang digunakan secara meluasnya dalam motor pemacu, bekalan kuasa talc terganggu and aplikasi dalam utiliti grid antaramuka bagi voltan photo. Projek ini menghuraikan kajian perbandingan perlaksanaan antara dua teknik dalam penyongsang sumber voltan iaitu teknik Lebar Denyut Modulasi Sinusoidal dan teknik Enam Langkah. Litar bagi kedua-dua teknik direkacipta dan dianalisa menggunakan pakej perisian seperti MATLAB 6.5 and ORCAD 9..1. Perlaksanaan perbandingan kedua-dua teknik dipersembahkan dalam bentuk Jumlah Herotan Harmonik yang bersesuaian, Pertukaran Pantas Fourier dan analisis spektrum berdasarkan gelombang keluaran yang diperolehi daripada keputusan simulasi. Umurnnya, Jumlah Herotan Harmonik menjelaskan mengenai kualiti gelombang keluaran manakala Pertukaran Fourier Pantas menjelaskan mengenai analisis bagi voltan dan arus secara relatif kepada frekuensi asas. Sementara itu, analisis spektrum pula menerangkan keperluan menggunakan penapis untuk menghapuskan harmonik tinggi dan bunyi yang tidak iliperlukan. Projek ini dibahagikan kepada tiga bahagian penting dalam pengkajian. Bahagian pertama adalah mengenai penghasilkan isyarat yang dapat memacu suis kuasa seperti MOSFETs dan lG3Ts serta membina topologi menggunakan Simulink-MATLAB bagi kedua dua teknik. Bahagian kedua pula merupakan perbincangan dan perbandingan mtara kedua-dua teknik. Manakala, bahagian ketiga membincangkan tentang penggunaan ~erisianORCAD 9.1 sebagai pembinaan skematik yang lebih praktikal dan keputusan simulasi menggunakan 9.1 adalah sama dengan keputusan simulasi menggunakan Sirnulink-MATLAB 6.5. CHAPTER 1 INTRODUCTION This project will presents an overall description of Voltage Source Inverter. This chapter includes the project overview, project objectives, project scopes, method of analysis and report summary. Roughly, flow of work from the beginning until the fulfillment of this project will be described in this chapter. 1.1 PROJECT OVERVIEW Voltage Source inverters (VSI's) are utilized in ac motor drive, utility interface, and uninterruptible power supply (UPS) applications as a means for dc ac electric energy conversion. The classical VSI generates a low-frequency output voltage with controllable magnitude and frequency by programming high-frequency voltage pulses. Inverters can be broadly classified into two types, voltage source and current source inverters. A voltage-fed inverter (VFI) or more generally a voltage-source inverter (VSI) is one in which the dc source has small or negligible impedance. The voltage at the input terminals is constant. A current-source inverter (CSI) is fed with adjustable current from the dc source of high impedance that is from a constant dc source. This project will be only focusing on Voltage Source Inverter part. A voltage source inverter employing thyristors as switches, some type of forced commutation is required, while the VSIs made up of using GTOs, power transistors, power MOSFETs or IGBTs, self commutation with base or gate drive signals for their controlled turn-on and turn-off .In this project, three-phase inverters and their operating principles are analyzed in detail. The concept of Sinusoidal Pulse Width Modulation (SPWM) and SIX STEP technique for inverters is described with performance analysis of waveforms. Finally the simulation results along with all analysis for three phase inverter using the SPWM and SIX STEP are presented. [4] 1.2 PROBLEM STATEMENT Higher harmonics distortion appears mostly when using SIX-STEP technique. As one of the objectives of this project is to describe the advantage of SPWM technique in reducing power losses and heat dissipated in the output stage, it is necessary to know on how SPWM technique method solves this problem. Basically, SPWM technique control strategies involving either unipolar or bipolar switching. These switching are quite common since the harmonics of significant amplitude are pushed into high frequency range near the carrier frequency. As the switching frequency is increased, a high quality output voltage waveform can be more easily recovered by low-pass filtering. During a typical turn-on or turn-off operation, however, the voltage across each power device remains near to the DC bus voltage for a significant portion of the switching transient, while a relatively large current is being commutated. Consequently, the devices (motor, heater or etc) undergo high power losses which increase linearly with the switching frequency. This not only impairs the power transfer efficiency of the inverter, but also increase the size and cost of heat sinks required for efficiency radiating heat loss to avoid device failure. A conventional linear output stage also applies a continuous voltage to load. This can waste plenty of power. So, as a method of solution for this problem, it is proposed to use SPWM technique which can applies a pulse train of fixed amplitude and frequency where only the width is varied in proportion to an input voltage. The end result is that, the average voltage at the load is the same as the input voltage but with less wasted power in output stage. [2] 1.3 PROJECT OBJECTIVES The objectives of the project are: i. To compare and study the performance of analysis for SIX-STEP & SPWM inverter based on their characteristics, output waveforms and switching.. ii. To design a circuit and obtain computer simulation results using SimulinkMATLAB 6.5 and ORCAD 9.1. iii. To implement the hardware of generation of the PWM signals using IC analogue such as Operational Amplifier LM741 and Comparator LM339. 1.4 PROJECT SCOPES The scope of work need to be done in this project will be more to analysis of performance for both techniques using Simulink-MATLAB 6.5 and ORCAD 9.1. These two technique will be compared based on their performance such as the existence of higher harmonic in SPWM technique, the switching transition in SIX STEP, their characteristic and the quality of output waveforms of both technique. Since the computer simulation involving two kinds of software packages, my supervisor had narrowed the using of ORCAD 9.1 simulation into SPWM simulation only. But, using SimulinkMATLAB 6.5, both SPWM and SIX-STEP simulation results will presented and analyzed. The development of hardware is done to get all the results that can prove the simulation results. But, there is a problem of getting the MOSFET's part which is used as a switches. Therefore, the implementation of the components on the project board has limited to the available components only. Even though the hardware results is not well obtained, the best commitment of finding and searching for the components that are needed to build the hardware has been done. 1.5 METHOD OF ANALYSIS This project performed in two stages. The first stage deals with the designing and simulation process to get proved the expected result of SPWM and SIX-STEP technique theoretically. This involves the using of Simulink-MATLAB 6.5 and ORCAD 9.1 to design SPWM and SIX-STEP schematics which will obtained all the results in terms of output waveform such as voltage line to line, voltage phase, load current and simple Fourier analysis. Then, the results for both technique will be analyzed and compared based on their performance such as the appropriate Total Harmonic Distortion (THD), Fast Fourier Transformed (FFT) and Spectrum Analysis of the output waveforms. For the second stage, an implementation of hardware that hoped to get the same result obtained from the theoreticaVsimulation results is performed. Before the hardware implemented, the simulation using ORCAD 9.1 must be done as this software provides practical set-up where simulation can be done cycle by cycle compared to SimulinkMATLAB which only represent all components in block diagram. Some of the information in the process of expanding the idea of analysis and comparison performance of the results are referred fiom the research journal of related website, power electronic reference books and from my supervisor who had contributes greatly in guiding me for the entire project. 1.6 PROJECT REPORT SUMMARY This project report contains of five chapters which will describe this project in details. The first chapter is the introduction part where in this chapter, the overall descriptions of the project are highlighted. The objectives of this project, the scopes and the methodology are described. Second chapter of this report will be discussing about the research and analysis of this project. Each of the facts and the information from the analysis will be explained. The third chapter will describe the method used in implement the project task. The techniques and methodology of this project is split into two major parts that is the hardware and software. In this chapter, each part will be described in depth. The fourth chapter is the result and analysis of the project. In this chapter, all of the final results and the analysis that had been done will be stated clearly. The analysis is done by using computer simulation which are Simulink-MATLAB 6.5 and ORCAD 9.1. The final chapter is the conclusion and suggestion. A conclusion about the achievement of the project objectives and the knowledge gained while doing this project is being stated in this chapter. The suggestion and future work is highlighted to improve the study of the project for the next reference. CHAPTER I1 LITERATURE REVIEW AND PROJECT BACKGROUND This chapter will described about the background of this project and literature review which includes the previous related project and the development made by people in Electronic Engineering field all over the world. 2.1 PROJECT BACKGROUND For the project background, the basic concept, characteristic and application of SPWM and SIX-STEP technique will be explained. While for the literature review, the people who responsible of proposing and developing the three phase Voltage Source Inverter PWM schemes and discontinuous modulation in three phase Voltage Source Inverter will be exposed. 2.1.1 SIX STEP TECHNIQUE SIX-STEP three phase inverter circuit used widely in the speed of induction motors where the output frequency is varied. The three phase load connected to this output voltage may be connected in delta or ungrounded-neutral wye. For a wyeconnected load, which is the more common load connection, the voltage each phase of the load is a line-neutral voltage. Figure 2.0 below shows an ungrounded-neutral wye switching scheme for SIX -STEP Inverter. Note that, switches S1and S4close and open opposite each other, as do pairs (S2and S5) and (Sj and S6). N Figure 2.0: SIX-STEP three-phase inverter Figure 2.1 below shows the switching transition for SIX-STEP inverter. The Switching sequence from (a) will produce the output voltage shown in voltage line to line (b). The output frequency can be controlled by changing the switching frequency. The magnitude of the output voltage depends on the value of the DC supply voltage. So, to control the output voltage of SIX-STEP inverter, DC input voltage must be adjusted. The switching scheme for voltage line to line can be summarized as follows: For VA- B , S1and S 6 are closed - the other will opened For VB- C, S 3 and S 2 are closed - the other will opened For Vc - 4 S 5 and S 4 are closed - the other will opened (a) Switching qeollence VAN I I S1 S2 I r s3 I I S4 0 ss 1 S6 1 .Oo VBN VAB $BC VCN O o O 1 w A w VCA +VDC 0 -VDC (b) line to line Voltage (c) line to neutral Voltage Figure 2.1: Swi$cl&gtransitions for SIX-STEP inverter Figure 2.2 below shows waveforms of line to neutral ( phase) voltages and line to line voltages for SIX-STEP voltage source inverter. The waveforms shows how the switching transitions of figure 2.1 represented mathematically in terms of line to line voltages and phase voltages.. Line to line voltages Phase voltages VAB=VAN-VBN van = 2/3VAN- 1 / 3 v -~1~/ 3 V a VBC~VBN-VCN V b n = -1/3Vm + 2/3VBN- 1/3Vm Vc*=Vm-VAN V c n = -1/3Vm - 1/3VBN + 213Va Figure 2.2 : Waveforms of line to neutral ( phase) voltages and line to line voltages for SIX-STEP voltage source inverter Figure 2.3 below shows the sequence of each switches, line to negative voltages and the gating signals for SIX-STEP voltage inverter. Each switches normally has duty ratio of 50% (not allowing for blanking time) and a switching action takes place every 116 time interval or 60' angle interval. Figure 2.3 : Waveforms of gating signals, switching sequence, line to negative voltages for six-step voltage source inverter. 2.1.1.1 Characteristic of SIX- STEP I. It is called "SIX-STEP inverter" because of the presence of six "steps" in the line to neutral (phase) voltage waveform. 11. Harmonics of order three and multiples of three are absent from both the line to line and the line to neutral voltages and consequently absent from the currents. 111. Output amplitude in a three-phase inverter can be controlled by only change of DC-link voltage (Vdc). IV. The Fourier series for the output voltage has a fundamental frequency equal to the switching frequency. Harmonic frequencies are on order of 6k+/- 1 for k = 1, 2... (n=5,7,11, 13...). 2.1.2 SPWM TECHNIQUE Sinusoidal Pulse width modulation (SPWM) generated by comparing amplitude of triangular wave (carrier) and sinusoidal reference wave (modulating) signal. SPWM switching for three phase inverter is similar to that of a single phase inverter. Basically, each switch is controlled by comparing a sinusoidal reference wave with a triangular carrier wave. The fundamental frequency of the output is the same as the reference wave, and the amplitude of the output is determined by relative amplitudes of the reference and carrier waves. As in the case of SIX-STEP Three Phase inverter, each switches in figure 2.0 are controlled in pairs (S1,S4), (S2,S5), and (S3, S6). When one switch in pair is closed, the other is open. Each pair of switches requires a separate sinusoidal reference wave. The three phase reference sinusoidal is 120' apart to produce a balanced three phase output. Figure 2.4 : Three-phase voltage source inverter ( SPWM ) V carrier , V reference Figure 2.5: Pulse-width modulation Inverter output voltage: When V reference > V carrier, VAO (t) = V dc 2 When V reference < V carrier, VAO (t) = -V dc 2 Control of inverter output voltage: SPWM frequency is the same as the frequency of V carrier Amplitude is controlled by the peak value of V Fundamental frequency is controlled by the frequency of V Modulation Index (m) . m = V ,ferwce = V carrier V carria Peak of VAO(t) V dc/ 2 V reference / A V reference B V reference C / Figure 2.6 : Waveforms of three-phase sine PWM inverter 2.1.2.1 Characteristic of SPWM The objective of using PWM technique is: i. Control of inverter output voltage ii. Reduction of harmonic The disadvantage of PWM technique: i. Increase of switching losses due to high PWM frequency ii. Reduction of available voltage iii. EM1 problems due to high-order harmonics Harmonic will be minimized if the carrier frequency is chosen to be an odd triple multiple of the reference frequency that is, 3,9, 15.. ...times the reference. 2.2 LITERATURE REVIEW 2.2.1 Three Phase VSI PWM Schemes Pulse width modulation technique using sine triangle intersection was first proposed by Schonung and Stemmler in 1964. Due to the ease of implementation, the SPWM is found in a wide range of applications. The drawback of this scheme is that the output is linear between 0% and 78.5 % of the SIX-STEP voltage value. Thus there is inefficient use of the DC bus voltage. The direct digital technique or the Space Vector Modulation technique was proposed by Pfaff, Weschta and Wick in 1982. This scheme was further developed by van der Broeck, Skudelny, and Stanke. The development of micro controllers made the direct digital technique possible. This scheme became more and more popular due to its merits of high utilization of the DC link voltage, possible optimized output distortion and switching losses, and compatibility with a digital controller. It has been widely used for high performance three-phase drive systems. In 1989 it was shown in that the absence of neutral current path in three wire loads provides a degree of freedom in determining the duty cycles of the inverter switches. This degree of freedom is achieved by partitioning of the null states. The equivalent degree of freedom in triangle intersection method is observed by selection of appropriate modulator. The absence of a neutral wire in star-connected three-phase loads provides this degree of freedom in modulation methodology. Since the voltage between the neutral of the load and the reference of the DC source, Vnocan take any value. This zero sequence waveform is used to alter the duty cycle of the inverter switches and alternatively the modulating signals. Appropriate zero sequence signal injection causes increase in voltage linearity, waveform quality and reduced switching losses without affecting the output conditions. In 1974 King employed zero sequence injection technique using analog hardware, and showed that the output voltage linearity was between 0% and 90.7%. This technique is also known as a Space Vector PWM. Many other techniques were developed for harmonic elimination in order to suppress the lower ordered harmonics. The third harmonic injection (THIPWM) techniques as mentioned in explains that by adding a measure of third harmonic to the output of each phase of a three-phase inverter, it is possible to obtain a line-to-line output voltage that is 15 percent greater than that obtainable when pure sinusoidal modulation is employed. The line-to-line voltage is undistorted. The method permits the inverter to deliver an output voltage approximately equal to the voltage of the ac supply to the inverter. This method is still being used in dedicated applications as in which describe a technique of injecting third harmonic zero sequence current components in the phase currents, which greatly improves the machine torque density. Of all the PWM techniques only a few PWM strategies have been accepted mainly due to the simplicity of implementation. [I] 2.2.2 Discontinous modulation in three phases VSI. In 1977 Depenbrock developed a discontinuous modulation technique and illustrated that the scheme resulted in high voltage linearity range, reduced switching losses, and superior current quality waveform. The scheme had a limitation of poor performance in the lower modulation region. The same modulators were studied from the perspective of switching losses and harmonic analysis. The studied modulators explored the dependency of the conduction and switching losses in a three phase inverter system for various modulating signals. It is concluded that there is a significant increase in the effective switching frequency. By using an optimal modulation for minimum switching loss, the harmonic loss in the higher modulation region is greatly reduced. It implies minimization of switching losses in the inverter due to low switching frequency ratio and absence of switching in the vicinity of the load current peaks in a given phase. The correlation between space vector PWM and Carrier based PWM was established by Blasko. By changing the duty cycles weights of the zero state by the factor named "k;, it was proved that the modified space vector PWM can be implemented as triangle comparison method with added zero sequence. This helped in comprehensive analysis of the null state vectors and their relationship with the carrier based signals. The developed a high performance generalized discontinuous PWM algorithm employed conventional space-vector PWM in the low modulation region and generalized discontinuous PWM algorithms in higher modulation region. The same approach termed as adaptive space vector modulation was considered full control range including over modulation and SIXSTEP operation. It reduced the switching loss by 50% at 33% reduction in the switching frequency. The modulator evaluation revealed the improved performance in the higher modulation region with reference to minimum pulse width control and voltage gain characteristic of the inverter. [I] CHAPTER I11 PROJECT METHODOLOGY As this project more to case study, there will be no software to be developed but two software tools will be applied in order to design, to simulate, to analyze, to study, to display and to get the output waveform result of both technique. The designing and simulation process is done to get proved the expected result of SPWM and SIX STEP. 3.1 SOFTWARE PACKAGES USED In this project two software packages have been used to design a circuit which will obtained all the results in form of output waveform such as line to line voltage, Phase voltage, Load Current and Fourier analysis. The first software is SimulinkMATLAB 6.5 that enables the user to construct simulation fiom graphical (block diagram) description of the system or process. Another software tools that been used is called ORCAD Release 9.1. The application of this software is no different compared to Sirnulink-MATLAB 6.5 but this software tools is more practical as it include IC's and other popular part such as Controllers, FET drivers, opto-couplers, etc. 3.1.1 MATLAB VERSION 6.5 Simulink-MATLAB 6.5 is a high-level technical computing language and interactive environment for algorithm development, data visualization, data analysis, and numeric computation. Using Simulink-MATLAB 6.5, technical computing problems can be solved faster than with traditional programming languages, such as C, C++, and FORTRAN. Simulink-MATLAB 6.5 can be used in a wide range of applications, including signal and image processing, communications, control design, test and measurement, financial modeling and analysis, and computational biology. Add-on toolboxes (collections of special-purpose Simulink-MATLAB 6.5 functions, available separately) extend the Simulink-MATLAB 6.5 environment to solve particular classes of problems in these application areas. Simulink-MATLAB 6.5 provides a number of features for documenting and sharing your work. We can integrate Simulink-MATLAB 6.5 code with other languages and applications, and distribute Sirnulink-MATLAB 6.5 algorithms and applications. The key features for Simulink-MATLAB 6.5 are:I. High-level language for technical computing 11. Development environment for managing code, files, and data 111. Interactive tools for iterative exploration, design, and problem solving IV. Mathematical functions for linear algebra, statistics, Fourier analysis, filtering, optimization, and numerical integration V. 2-D and 3-D graphics functions for visualizing data VI. Tools for building custom graphical user interfaces VII. Functions for integrating Simulink-MATLAB 6.5 based algorithms with external VIII. application and languages, such as C, C++. Fortran, Java, COM, and Microsoft Excel. 3.1.2 ORCAD 9.1 Using this software, we can perform high-speed cycle-by-cycle simulation to show true large-signal performance, simulate current-mode control using the latest accurate modeling techniques, run CCM and DCM converter simulations, analyze control systems including loop gain, input filter design and analysis, and measure power stage loss and stress analysis for all major components. In summary we can simulate our entire power system. Pulse Width Modulation (PWM) controllers, Switching Regulators, Multi-phase controllers, PFCs, Integrated switch & boost controllers, hysteretic controllers, IC regulators and models for other popular parts (FET drivers, optocouplers, etc.) are included. The benefits of using this software are:I. Analyze large signal effects like start-up transients, power stage semiconductor stress, and step-load response 11. Explore different approaches to transformer, converter, filter, and control structures 111. Compute component stresses and test for excessive power dissipation IV. Compare circuit characteristics with linear and nonlinear magnetic V. Analyze in both time and frequency domains VI. Simulate and analyze your entire power supply without any limitations. 3.2 METHODOLOGY This project divided into five sections; design the circuit, simulate the designed schematic using Simulink-MATLAB 6.5 and ORCAD 9.1, implement hardware using the same schematic, study the performance of analysis and then determine the comparison. In the early phase of project, it was performed by designing and simulating the schematics to get proved the expected result of SPWM and SIX STEP. For this purpose, Simulink- MATLAB 6.5 had been used to design a circuit which will obtained all the results in form of output waveform such as line to line voltage, phase voltage, load current and Fourier analysis. For the second phase, the simulation by using ORCAD 9.1 has proceeded. The objective of using this software is same like MATLAB 6.5 but using ORCAD 9.1 is more practical because it shows real connection and layer of components such IC's. For ORCAD 9.1, my supervisor had narrowing the scope of this project where only the simulation for SPWM had to be done. After succeed of obtaining all the results, the implementation a hardware that hoped to get the same result obtained from the theoretical/simulation results using Simulink-MATLAB 6.5 and ORCAD 9.1 was performed. But, problem comes when the switches (MOSFET) that needed to use in this hardware are unavailable. So, the implementation of hardware performed based on the only available components. Some of the information in the process of expanding the idea to produce this report are referred from the research journal of related website, power electronic reference books and from my supervisor who had contributes more in guiding me for this entire project. . / DESIGNSPWM& SIX ) SIMULATE USING MATLAB AND ORCAD 4 NO SIMULATION F IDENTIFY ERROR & MAKE CORRECTION STUDY & MAKE ANALYSIS OF PERFORMANCE HARDWARE USING THE SUCCEED CIRCUIT DETERMINE THE COMPARISON OF SIX STEP & SPWM Figure 3.0: Flowchart of Project Methodology 3.3 HARDWARE DEVELOPMENT Hardware development is done as an experimental result after succeed of getting the theoretical (designing and simulation) result using computer simulation. The objective is to provide a real hardware which will have the same results as in computer simulation which can produce SPWM and SIX-STEP output waveforms. Figure 3.1: Hardware for SPWM Generally, the output waveforms for hardware part was not obtained successfully because of the unavailable MOSFET'S which is used as switches in this hardware implementation. This hardware status will fully depends on the results from the computer simulation part especially using ORCAD 9.1. It means that, if the designed circuit using computer simulation could not perform as it should be, there is no point of implementing this hardware. With a very less basic knowledge of using SimulinkMATLAB 6.5 and ORCAD 9.1, I had spent a lot of time of learning; ask for helped from my supervisor and try to simulate the circuit by myself at home until I succeed. But, from my own opinion, computer simulation results is quite enough to make a comparative study between SPWM and SIX-STEP as it provides all the required analysis of performance. CHAPTER IV RESULT AND DISCUSSION This chapter will describe about simulation results of both technique used in this project. The simulation results divided into two part which is simulation results using Simulink-MATLAB 6.5 and ORCAD 9.1 The simulation output waveforms will be showed graphically such as line to line voltage, phase voltage and load current. The process of generating these two technique will be also described by detailed. Then, the analysis of Total Harmonic Distortion using Fast Fourier Transformed (FFT) will be stated. Lastly, the discussion related about these results will be explained clearly. 4.1 SIMULATION PARAMETER AND CIRCUIT The parameters and the process of designing the circuit to generate SPWM and SIX-STEP waveforms are basically similar. The only difference is that SimulinkMATLAB 6.5 provides circuit using block representation while ORCAD 9.1 provides more practical and real connection of circuit. The Simulink model for SPWM technique