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Diffstat (limited to '83/CH2/EX2.7')
-rwxr-xr-x | 83/CH2/EX2.7/example_2_7.sce | 43 | ||||
-rwxr-xr-x | 83/CH2/EX2.7/results_example_2_7.txt | 28 |
2 files changed, 71 insertions, 0 deletions
diff --git a/83/CH2/EX2.7/example_2_7.sce b/83/CH2/EX2.7/example_2_7.sce new file mode 100755 index 000000000..7d7a737fe --- /dev/null +++ b/83/CH2/EX2.7/example_2_7.sce @@ -0,0 +1,43 @@ +//Chapter 2 +//Example 2.7 +//page 69 +//To find inductive reactance of for the three phase bundled conductors +clear;clc; +r=0.01725; //radius of each conductor +//from the figure we can declare the distances +d=7; +s=0.4; +//Mutual GMD between bundles of phases a and b +Dab=(d*(d+s)*(d-s)*d)^(1/4); +//Mutual GMD between bundles of phases b and c +Dbc=Dab ; //by symmetry +//Mutual GMD between bundles of phases c and a +Dca=(2*d*(2*d+s)*(2*d-s)*2*d)^(1/4); +//Equivalent GMD is calculated as +Deq=(Dab*Dbc*Dca)^(1/3); +//self GMD is given by +Ds=(0.7788*1.725*10^(-2)*0.4*0.7788*1.725*10^(-2)*0.4)^(1/4); +//Inductive reactance per phase is given by +Xl=2*%pi*50*10^(-3)*0.461*log10(Deq/Ds); //10^(-3) because per km is asked +printf("\n\nMutual GMD between bundles of phases a and b = %0.3fm\n\n",Dab); +printf("Mutual GMD between bundles of phases b and c = %0.3fm\n\n",Dbc); +printf("Mutual GMD between bundles of phases c and a = %0.3fm\n\n",Dca); +printf("Equivalent GMD = %0.3fm\n\n",Deq); +printf("Self GMD of the bundles = %0.3fm\n\n",Ds); +printf("Inductive reactance per phase = %0.3f ohms/km\n\n",Xl); + +//now let us compute reactance when center to centerr distances are used +Deq1=(d*d*2*d)^(1/3); +Xl1=2*%pi*50*0.461*10^(-3)*log10(Deq1/Ds); +printf("\n When radius of conductors are neglected and only distance between conductors are used, we get below results:\n\n"); +printf("Equivalent mean distance is = %f\n\n",Deq1); +printf("Inductive reactance per phase = %0.3f ohms/km\n\n",Xl1); + +//when bundle of conductors are replaced by an equivalent single conductor +cond_dia=sqrt(2)*1.725*10^(-3); //conductor diameter for same cross-sectional area +Xl2=2*%pi*50*0.461*10^(-3)*log10(Deq1/cond_dia); +printf("\nWhen bundle of conductors are replaced by an equivalent single conductor:\n\n"); +printf("Inductive reactance per phase = %0.3f ohms/km\n\n",Xl2) ; +percentage_increase=((Xl2-Xl1)/Xl1)*100; +printf("This is %0.2f higher than corresponding value for a bundled conductor line.",percentage_increase); + diff --git a/83/CH2/EX2.7/results_example_2_7.txt b/83/CH2/EX2.7/results_example_2_7.txt new file mode 100755 index 000000000..ab9b3234a --- /dev/null +++ b/83/CH2/EX2.7/results_example_2_7.txt @@ -0,0 +1,28 @@ + + + +Mutual GMD between bundles of phases a and b = 6.994m + +Mutual GMD between bundles of phases b and c = 6.994m + +Mutual GMD between bundles of phases c and a = 13.997m + +Equivalent GMD = 8.814m + +Self GMD of the bundles = 0.073m + +Inductive reactance per phase = 0.301 ohms/km + + + When radius of conductors are neglected and only distance between conductors are used, we get below results: + +Equivalent mean distance is = 8.819447 + +Inductive reactance per phase = 0.301 ohms/km + + +When bundle of conductors are replaced by an equivalent single conductor: + +Inductive reactance per phase = 0.515 ohms/km + +This is 71.04 higher than corresponding value for a bundled conductor line. |