From b1f5c3f8d6671b4331cef1dcebdf63b7a43a3a2b Mon Sep 17 00:00:00 2001 From: priyanka Date: Wed, 24 Jun 2015 15:03:17 +0530 Subject: initial commit / add all books --- 1820/CH9/EX9.3/Example9_3.sce | 44 +++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 44 insertions(+) create mode 100755 1820/CH9/EX9.3/Example9_3.sce (limited to '1820/CH9/EX9.3') diff --git a/1820/CH9/EX9.3/Example9_3.sce b/1820/CH9/EX9.3/Example9_3.sce new file mode 100755 index 000000000..bd12b9d7e --- /dev/null +++ b/1820/CH9/EX9.3/Example9_3.sce @@ -0,0 +1,44 @@ +// ELECTRIC POWER TRANSMISSION SYSTEM ENGINEERING ANALYSIS AND DESIGN +// TURAN GONEN +// CRC PRESS +// SECOND EDITION + +// CHAPTER : 9 : SYMMETRICAL COMPONENTS AND FAULT ANALYSIS + +// EXAMPLE : 9.3 : +clear ; clc ; close ; // Clear the work space and console + +// GIVEN DATA +l = 40 ; // line length in miles +// Conductor parameter from Table A.3 +r_a = 0.206 ; // Ohms per conductor per mile in Ω/mi +r_b = r_a ; // r_a = r_b = r_c in Ω/mi +D_s = 0.0311 ; // GMR in ft where D_s = D_sa = D_sb = D_sc +D_ab = sqrt(2^2 + 8^2) ; // GMR in ft +D_bc = sqrt(3^2 + 13^2) ; // GMR in ft +D_ac = sqrt(5^2 + 11^2) ; // GMR in ft +D_e = 2788.5 ; // GMR in ft since earth resistivity is zero +r_e = 0.09528 ; // At 60 Hz in Ω/mi + +// CALCULATIONS +// For case (a) +Z_aa =[(r_a + r_e) + %i * 0.1213*log(D_e/D_s)]*l ; // Self impedance of line conductor in Ω +Z_bb = Z_aa ; +Z_cc = Z_bb ; +Z_ab = [r_e + %i * 0.1213*log(D_e/D_ab)]*l ; // Mutual impedance in Ω +Z_ba = Z_ab ; +Z_bc = [r_e + %i * 0.1213*log(D_e/D_bc)]*l ; +Z_cb = Z_bc ; +Z_ac = [r_e + %i * 0.1213*log(D_e/D_ac)]*l ; +Z_ca = Z_ac ; +Z_abc = [Z_aa Z_ab Z_ac ; Z_ba Z_bb Z_bc ; Z_ca Z_cb Z_cc] ; // Line impedance matrix + +// For case (b) +a = 1*exp(%i*120*%pi/180) ; // By symmetrical components theory to 3-Φ system +A = [1 1 1; 1 a^2 a ;1 a a^2] ; +Z_012 = inv(A) * Z_abc*A ; // Sequence impedance matrix + +// DISPLAY RESULTS +disp("EXAMPLE : 9.3 : SOLUTION :-") ; +printf("\n (a) Line impedance matrix , [Z_abc] = \n") ; disp(Z_abc) ; +printf("\n (b) Sequence impedance matrix of line , [Z_012] = \n") ; disp(Z_012) ; -- cgit