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// 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 : 10.28 :
// Page number 310
clear ; clc ; close ; // Clear the work space and console
// Given data
sin_delta_0 = 0.45 // Supplying percent of peak power capacity before fault
x = 4.0 // Reactance under fault increased
gamma_2 = 0.7 // Peak power delivered after fault clearance
// Calculations
delta_0 = asin(sin_delta_0) // δ_0(radians)
delta_0_degree = delta_0*180/%pi // δ_0(°)
gamma_1 = 1.0/x // γ_1
delta_m = %pi-asin(sin_delta_0/(gamma_2)) // δ_m(radians)
delta_m_degree = delta_m*180/%pi // δ_m(°)
delta_c = acosd(1.0/(gamma_2-gamma_1)*((delta_m-delta_0)*sin(delta_0)+(gamma_2*cos(delta_m)-gamma_1*cos(delta_0)))) // Clearing angle(°)
// Results
disp("PART II - EXAMPLE : 10.28 : SOLUTION :-")
printf("\nCritical clearing angle, δ_c = %.f° ", delta_c)
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