![]() ![]() Therefore, the nodes (buses) of the stability study network pertain to the emf terminal in the machine model as shown in Fig. Power Angle Curve of Synchronous Machine:įor the purposes of stability studies |E′|, transient emf of generator motor, remains constant or is the independent variable determined by the voltage regulating loop but V, the generator determined terminal voltage is a dependent variable. 12.3 will be used in all stability studies. ![]() The simplified Power Angle Equation of Synchronous Machine of Fig. 12.3 which also applies to a cylindrical rotor machine where X′ d = X′ q = X′ s(transient synchronous reactance) The Power Angle Equation of Synchronous Machine model corresponding to Eq. Since under transient condition, X′ d < X d but X q remains almost unaffected, it is fairly valid to assume that Simplified Machine Model:įor a nonsalient pole machine, the per phase induced emf-terminal voltage equation under steady conditions isĮquation (12.19) during the transient modifies to This assumption also leads to pessimistic results-voltage regulator helps to stabilize the system.īefore the swing equation can be solved, it is necessary to determine the dependence of the electrical power output (P e) upon the rotor angle. Effect of voltage regulating loop during the transient is ignored, as a consequence the generated machine emf remains constant.Rotor speed changes are insignificant-these have already been ignored in formulating the swing equation.This assumption leads to pessimistic result-governing loop helps to stabilize the system. In other words, it means that the effect of the turbine governing loop is ignored being much slower than the speed of the transient. Mechanical power input to the machine (P m) remains constant during the period of electromechanical transient of interest. ![]()
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