## Selective Harmonic Elimination (SHE) for 3-Phase Voltage Source Inverter (VSI)

**V. Karthikeyan**^{1,}, **V.J. Vijayalakshmi**^{2}, **P. Jeyakumar**^{3}

^{1}Department of ECE, SVS College of Engineering, Coimbatore, India

^{2}Department of EEE, Sri Krishna College of Engg & Tech., Coimbatore, India

^{3}Department of ECE Karpagam University, Coimbatore, India

### Abstract

The Selective Harmonic Elimination (SHE) for 3-Phase Voltage Source Inverter (VSI) is presented here. The projected work investigates the Selective Harmonic Elimination (SHE) to eliminate harmonics produced by Pulse Width Modulation (PWM) inverter. The selective harmonic elimination method for three phase Voltage Source Inverter (VSI) is generally based on ideas of opposite harmonic injection. In this proposed scheme, the lower order harmonics (3rd, 5th, 7th, and 9th) are eliminated by the dominant harmonics of same order generated in opposite phase by Sinusoidal Pulse Width Modulation (SPWM) inverter and by using this scheme the Total Harmonic Distortion (THD) is reduced. Analysis of Sinusoidal Pulse Width Modulation (SPWM) technique and Selective Harmonic Elimination (SHE) is simulated using MATLAB/SIMULINK model.

### At a glance: Figures

**Keywords:** Selective Harmonic Elimination (SHE), Pulse Width Modulation (PWM) e, Total Harmonic Distortion (THD) and Voltage Source Inverter (VSI)

*American Journal of Electrical and Electronic Engineering*, 2014 2 (1),
pp 17-20.

DOI: 10.12691/ajeee-2-1-4

Received March 22, 2013; Revised April 10, 2013; Accepted January 09, 2014

**Copyright**© 2013 Science and Education Publishing. All Rights Reserved.

### Cite this article:

- Karthikeyan, V., V.J. Vijayalakshmi, and P. Jeyakumar. "Selective Harmonic Elimination (SHE) for 3-Phase Voltage Source Inverter (VSI)."
*American Journal of Electrical and Electronic Engineering*2.1 (2014): 17-20.

- Karthikeyan, V. , Vijayalakshmi, V. , & Jeyakumar, P. (2014). Selective Harmonic Elimination (SHE) for 3-Phase Voltage Source Inverter (VSI).
*American Journal of Electrical and Electronic Engineering*,*2*(1), 17-20.

- Karthikeyan, V., V.J. Vijayalakshmi, and P. Jeyakumar. "Selective Harmonic Elimination (SHE) for 3-Phase Voltage Source Inverter (VSI)."
*American Journal of Electrical and Electronic Engineering*2, no. 1 (2014): 17-20.

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### 1. Introduction

DC-AC converters are power electronic circuits frequently named as an inverter. Inverter is classified into two types. Voltage source inverter is a one category of inverter. And it has the lead of uncomplicated execution and less cost. In such an inverter, the output voltage is able to augmented or decreased as of the input voltage level by adjusting the duty ratio of its switch. The inverter paraphrase can be achieved moreover by proscribed turn-on and turn-off devices (e.g. BJTs, MOSFETs, IGBTs, and GTOs) or by forced commutated thyristors, depending on their applications. The DC power input to the inverter may be battery, fuel cell and solar cell. But, in most of the industrial applications, the inputs are provided to the rectifier circuits. Rectifier is a process of conversion of AC-DC. Sinusoidal pulse width modulation (PWM) technique ^{[3, 4]} has the advantage of easy implementation. The Figure 1 shows the block diagram of Selective Harmonic Elimination (SHE) technique ^{[2]} for three phase Voltage Source Inverter (VSI) .In this paper DC voltage (500V) is used as source of an inverter. Selective Harmonic Elimination (SHE) method is used to reduce the quantity of Total Harmonic Distortion (THD) in the existing system.

Three phase voltage source inverter converts the DC into AC which in this is fed to the load (RL). Sinusoidal Pulse Width Modulation (PWM) technique is compared with triangular waveform to produces the pulse wave forms; the achieved results are then given to the switches with the desired frequency. Selective Harmonic Elimination (SHE) technique is generally based on the ideas of opposite harmonic injection (3^{rd}, 5^{th}, 7^{th} and 9^{th} order) and it’s given to three phase voltage source inverter switches.

**Fig**

**ure**

**1.**Complete block diagram of Selective Harmonic Elimination

### 2. Voltage Source Inverter

The schematic diagram for a basic three phase Voltage Source Inverter (VSI) is shown in Figure 2. A Three phase voltage source inverter circuit ^{[5]} changes DC input voltage to a three phase variable frequency, variable voltage output. The input DC voltage can be from a DC source or rectified AC voltage. A Three phase inverter can be constructed by combining three single phase half bridge inverters. It consists of six power switches with six associated with freewheeling diodes. The switches are opened and closed periodically in the proper sequence to produce the desired output waveform.

**Fig**

**ure**

**2.**

**Circuit diagram for three phase Voltage Source Inverter**

Basically, there are two possible schemes of gating the devices.

• Each switch conducts for 180°

• Each switch conducts for 120°

But in both these schemes, gating signals are applied and removed at 60° intervals of the output voltage waveform.

### 3. Proposed Method

**3.1. Selective Harmonic Elimination Technique**

**Fig**

**ure**

**3.**

**Selective Harmonic Elimination for three phase voltage source inverter with RL load**

Selective harmonic elimination control has been a widely researched alternative to traditional pulse-width modulation technique. The elimination of specific low-order harmonics from a given voltage/current waveform achieved by Selective Harmonic Elimination (SHE) technique ^{[2]}. In this method there is no need to calculate the firing angles for placing notches. Here, the lower order harmonics will be reduced by the dominant harmonics of same order generated in opposite phase by sine PWM inverter. This is achieved by varying the phase angle of the carrier wave of the sinusoidal Pulse Width Modulation (PWM) inverter ^{[5]}, which generates the dominant harmonics with sidebands very close to the amplitude of prominent voltage harmonics present in the system but in opposite polarity. In this method first, calculate the Total Harmonic Distortion (THD) for 3^{rd}, 5^{th}, 7^{th} and 9^{th} order harmonics. Then calculate the amplitude of these order (3^{rd}, 5^{th}, 7^{th}, and 9^{th}) harmonics with help of Total Harmonic Distortion (THD). After calculating amplitude, injecting the same order of harmonics in opposite amplitude Thus the resultant disorder sine wave is compared with triangular waveform and results in pulse are produced and will give to the switches. This method is simple and easy implementation method for reducing the Total Harmonic Distortion (THD). The simulation of three phase voltage source inverter by using selective harmonic elimination method is done in MATLAB/SIMULINK software and shown in Figure 3.

**3.2. LC-Section**

Generally In inductor filter; the ripple feature is unswervingly comparative to the load resistance (RL). On the other hand in a capacitor filter, it is unreliable inversely through the load. Thus if we unite the inductor filter with the capacitor the ripple aspect will turn out to be more or less autonomous of the load filter. It is also said to be as LC-section. In LC filter an Inductor is connected in series with the load (RL). It offers high resistance path to the AC mechanism and allows DC component to flow through the load (RL). The capacitor transverse the load associated parallel and filter out if any AC constituent flowing through the inductance, In this manner the AC component are filtered and a flat DC is supplied all the way through the load. Here the distorted harmonics are removed and the smooth wave forms are obtained

### 4. Output Results and Discussions

**4.1. Discussions**

The output results play a vital role in the projected work. Here the generation of lower order harmonics, Dominant harmonics, Phase angle output wave forms, and Line voltage output wave forms are obtained by the Matlab simulink model. Fast Fourier Transform analysis are also obtained. Figure 4 represent the phase voltage output waveform where the amplitude and time in period represented in obtaining the opposite phase to eliminate the harmonics generated. Figure 5 illustrates the line voltage output wave form, injecting the same order of harmonics in opposite amplitude Thus the resultant disorder sine wave is compared with triangular waveform and results in pulses are produced. Figure 6 represents the output wave form for Selective Harmonic Elimination(SHE) with LC-section, this shows RGB Harmonics of amplitude in Voltage vs. Output Current in Time(ms). Figure 7 shows the FFT analysis of Selective Harmonic Elimination (SHE) with fundamental frequency of 50 Hz we got 113.3 and the Total Harmonic Distortion of 70.06% this is obtained by without using the LC filter. Figure 8 FFT analysis of Selective Harmonic Elimination (SHE) with fundamental frequency of 50 Hz we got 113.3 but the Total Harmonic Distortion is reduced up to 1.47% this results is produced by using the LC filter. Thus the result shows that the Selective Harmonic Elimination (SHE) technique is improved by reducing the Total Harmonic Distortion (THD) up to 1.47%.

**Fig**

**ure**

**4.**

**Phase voltage output waveform**

**Fig**

**ure**

**5**

**.**Line voltage output waveform

**Fig**

**ure**

**6.**Output waveform for Selective Harmonic Elimination (SHE) with filter

**Fig**

**ure**

**7**

**.**FFT analysis for Sinusoidal PWM Technique

**Fig**

**ure**

**8**

**.**FFT analysis for Selective Harmonic Elimination (SHE)

### 5. Comparison of Results

Table 1 shows the comparison between the sinusoidal Pulse Width Modulation (PWM) method for three phase voltage source inverter and Selective harmonic elimination for three phase voltage source inverter. From the comparison it is evident that Selective Harmonic Elimination (SHE) method is better than sinusoidal Pulse Width Modulation (PWM) technique. Figure 8 represents the FFT analysis for Selective Harmonic Elimination (SHE) with filter. Here LC filter is used.

### 6. Conclusion

The paper presents a selective harmonic elimination technique for three phase voltage source inverter with the RL load. A Three phase Voltage Source Inverter (VSI) changes DC input voltage to a three phase variable frequency variable voltage output. The elimination of specific low-order harmonics from a given voltage/current waveform achieved by Selective Harmonic Elimination (SHE) technique. We unite the inductor filter with the capacitor the ripple aspect will turn out to be more or less autonomous of the load filter. Finally Analysis and comparison of Total Harmonic Distortion (THD) for sinusoidal Pulse Width Modulation (PWM) technique and selective harmonic elimination technique has been done. From the comparison it is very apparent that the Total Harmonic Distortion (THD) for selective harmonic technique is less than that of sinusoidal Pulse Width Modulation (PWM) method.

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