HARMONIC REDUCTION IN POWER SYSTEM Ankit Vashi B.E. ...

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5.2 Matlab Code for Switching angle calculation and Harmonic reduction clc V=5; % dc sources dMI=0.5; % Step size of modulation index MIstart=1.2; % The initial modulation index MI=MIstart*V; MIrange=10; % Calculations range s1=40*pi/180; s2=49*pi/180; s3=68*pi/180; s4=79*pi/180; % Assume values of switching angles s=[s1 s2 s3 s4]'; %The angle matrix for j=1:MIrange t=[MI*pi/4 0 0 0]'; % harmonic matrix dA=1; for i=1:70 s1=s(1,:); s2=s(2,:); s3=s(3,:); s4=s(4,:); deltaA=[-sin(s1) +sin(s2) -sin(s3) +sin(s4) ; -5*sin(5*s1) +5*sin(5*s2) -5*sin(5*s3) +5*sin(5*s4) ; -7*sin(7*s1) +7*sin(7*s2) -7*sin(7*s3) +7*sin(7*s4) ; -11*sin(11*s1) +11*sin(11*s2) -11*sin(11*s3) +11*sin(11*s4) ] % matrix A=[cos(s1) -cos(s2) +cos(s3) -cos(s4) ; cos(5*s1) -cos(5*s2) +cos(5*s3) -cos(5*s4) ; cos(7*s1) -cos(7*s2) +cos(7*s3) -cos(7*s4) ; cos(11*s1) -cos(11*s2) +cos(11*s3) -cos(11*s4) ] % matrix Anew=[cos(s1)-cos(s2)+cos(s3)-cos(s4); cos(5*s1)-cos(5*s2)+cos(5*s3)-cos(5*s4); 38
cos(7*s1)-cos(7*s2)+cos(7*s3)-cos(7*s4); cos(11*s1)-cos(11*s2)+cos(11*s3)-cos(11*s4)] % matrix dA=inv(deltaA)*(t-Anew); % error in calculation s=s+dA; % calculate teh new value end MI=MI-dMI; mm(j)=MI/V; % modulation index x1(j)=abs(cos(s1)); x2(j)=abs(cos(s2)); x3(j)=abs(cos(s3)); x4(j)=abs(cos(s4)); end % plotting p1=abs(cos(x1)) p2=abs(cos(x2)) p3=abs(cos(x3)) p4=abs(cos(x4)) % positive angles plot(mm,p1*180/pi) plot(mm,p2*180/pi) plot(mm,p3*180/pi) plot(mm,p4*180/pi) axis([mm(MIrange) mm(1) 0 90]); 39
Page 1 and 2: HARMONIC REDUCTION IN POWER SYSTEM
Page 3 and 4: I certify that this student has met
Page 5 and 6: TABLE OF CONTENTS List of Figures
Page 7 and 8: LIST OF FIGURES 1. Figure 1: Single
Page 9 and 10: Chapter 1 INTRODUCTION The term har
Page 11 and 12: 2.2 Transients: In terms of power s
Page 13 and 14: obtained during the event is consid
Page 15 and 16: Non-linear loads are considered as
Page 17 and 18: an inductance is a passive filter.
Page 19 and 20: 3.2 Roles of Filters in Power Syste
Page 21 and 22: 3.3.1 Types of Passive Filters: The
Page 23 and 24: Figure 4 : Three Phase, Three Wire
Page 25 and 26: 3.4 Active Filters : Active filters
Page 27 and 28: Figure 9 : Single Phase Active Filt
Page 29 and 30: Theoretically the output voltage wa
Page 31 and 32: consists of four IGBT devices (also
Page 33 and 34: 4.2.3 Multi Level Inverters : Figur
Page 35 and 36: converters, the main objective is t
Page 37 and 38: order to reduce the harmonics is kn
Page 39 and 40: Note: For figures 16 and 17, • ts
Page 41 and 42: Figure 18 : Plot of Switching angle
Page 43 and 44: Figure 20 : Plot of Switching angle
Page 45: Figure 22 : Plot of Switching angle
Page 49: REFERENCES 1.) Roger C. Dugan, Mark

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