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diff --git a/3472/CH17/EX17.24/Example17_24.sce b/3472/CH17/EX17.24/Example17_24.sce new file mode 100644 index 000000000..baf1e4a86 --- /dev/null +++ b/3472/CH17/EX17.24/Example17_24.sce @@ -0,0 +1,48 @@ +// A Texbook on POWER SYSTEM ENGINEERING
+// A.Chakrabarti, M.L.Soni, P.V.Gupta, U.S.Bhatnagar
+// DHANPAT RAI & Co.
+// SECOND EDITION
+
+// PART II : TRANSMISSION AND DISTRIBUTION
+// CHAPTER 10: POWER SYSTEM STABILITY
+
+// EXAMPLE : 10.24 :
+// Page number 306-307
+clear ; clc ; close ; // Clear the work space and console
+
+// Given data
+x_d = %i*0.2 // Transient reactance of generator(p.u)
+P_e = 0.8 // Power delivered(p.u)
+V_t = 1.05 // Terminal voltage(p.u)
+H = 4.0 // Inertia constant(kW-sec/kVA)
+x_t = %i*0.1 // Transformer reactance(p.u)
+x_l = %i*0.4 // Transmission line reactance(p.u)
+V = 1.0 // Infinite bus voltage(p.u)
+f = 50.0 // Frequency(Hz)
+
+// Calculations
+x_12 = x_d+x_t+(x_l/2) // Reactance b/w bus 1 & 2(p.u)
+y_12 = 1/x_12 // Admittance b/w bus 1 & 2(p.u)
+y_21 = y_12 // Admittance b/w bus 2 & 1(p.u)
+y_10 = 0.0 // Admittance b/w bus 1 & 0(p.u)
+y_20 = 0.0 // Admittance b/w bus 2 & 0(p.u)
+Y_11 = y_12+y_10 // Admittance at bus 1(p.u)
+Y_12 = -y_12 // Admittance b/w bus 1 & 2(p.u)
+Y_21 = -y_12 // Admittance b/w bus 2 & 1(p.u)
+Y_22 = y_21+y_20 // Admittance at bus 2(p.u)
+x_32 = x_t+(x_l/2) // Reactance b/w bus 3 & 1(p.u)
+theta_t = asind(P_e*abs(x_32)/V_t) // Angle(°)
+V_t1 = V_t*exp(%i*theta_t*%pi/180) // Terminal voltage(p.u)
+I = (V_t1-V)/x_32 // Current(p.u)
+E = V_t1+I*x_d // Alternator voltage(p.u)
+sine = poly(0,"sin")
+P_e1 = 2.0*abs(E) // Developed power(p.u) in terms of sin δ
+P_m_P_e = P_e-P_e1*sine
+M = 2*H/(2*%pi*f) // Angular momentum
+acc = (P_e-P_e1*sine)*2*%pi*f/(2*H) // Acceleration = α (rad/sec^2)
+
+// Results
+disp("PART II - EXAMPLE : 10.24 : SOLUTION :-")
+printf("\nSwing equation is, %.4f*α = %.1f - %.3fsin δ\n", M,P_e,P_e1)
+printf("\nNOTE: Swing equation is simplified and represented here")
+printf("\n ERROR: x_d = 0.2 p.u, not 0.1 p.u as mentioned in textbook statement")
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