II. Ratings of the synchronous generator: Use Matlab m-file to plot the required curves 1. Plot the synchronous generator capability curve in the PQ-plane, which is a plot of versus P. In the PQ-plane, the active power P is on the horizontal axis and the reactive power Q is on the vertical axis. The rated power can be considered as the maximum acceptable apparent power. Note that the synchronous machine can only generate active power, meaning that the active power should be positive, where P varies from zero to the rated apparent power. Then, for each value of the active power P, the reactive power can be determined by considering the relationship between the rated power S. P, and (. Alternatively, for each value of 0. varying from Sto S. the value of P can be determined as PES-O Note that is the rated power (apparent power). 2. Find the maximum acceptable armature current. 3. What is the maximum allowable internal generated voltage E/? 4. Use the same PQ-plane of Question to sketch the maximum field current circle. Indeed, the field current limit appears as a circle corresponding to the rated (maximum allowable) lp or Ex. In our case, the maximum allowable En can be used to plot the maximum field current circle. From Figure 1. it follows that the center of such a circle in the PO-plane is the point A. By considering the point O as the origin of the PQ- plane, it can be concluded that the coordinates of the point A in the PQ-plane are given by 3V (v. + RI, cos(C)), 3E, RI, sin x As shown from figure I, the radius of such a circle is represented by the distance AM which is given by D = x The plot the maximum field current circle in the PQ-plane can be accomplished by using the equation of a circle. By doing so, for each value of Q. varying from Sto DE + you the value of P can be calculated as P-X,14 D3-(0-y.)=P=0:-(2-y) +x, e R1, sin(o) 3EV. NB: Any point, defined with active and reactive power as coordinates, that lies within both synchronous generator capability curve and the maximum field current circle is a safe operating point for the generator. II. Ratings of the synchronous generator: Use Matlab m-file to plot the required curves 1. Plot the synchronous generator capability curve in the PQ-plane, which is a plot of versus P. In the PQ-plane, the active power P is on the horizontal axis and the reactive power Q is on the vertical axis. The rated power can be considered as the maximum acceptable apparent power. Note that the synchronous machine can only generate active power, meaning that the active power should be positive, where P varies from zero to the rated apparent power. Then, for each value of the active power P, the reactive power can be determined by considering the relationship between the rated power S. P, and (. Alternatively, for each value of 0. varying from Sto S. the value of P can be determined as PES-O Note that is the rated power (apparent power). 2. Find the maximum acceptable armature current. 3. What is the maximum allowable internal generated voltage E/? 4. Use the same PQ-plane of Question to sketch the maximum field current circle. Indeed, the field current limit appears as a circle corresponding to the rated (maximum allowable) lp or Ex. In our case, the maximum allowable En can be used to plot the maximum field current circle. From Figure 1. it follows that the center of such a circle in the PO-plane is the point A. By considering the point O as the origin of the PQ- plane, it can be concluded that the coordinates of the point A in the PQ-plane are given by 3V (v. + RI, cos(C)), 3E, RI, sin x As shown from figure I, the radius of such a circle is represented by the distance AM which is given by D = x The plot the maximum field current circle in the PQ-plane can be accomplished by using the equation of a circle. By doing so, for each value of Q. varying from Sto DE + you the value of P can be calculated as P-X,14 D3-(0-y.)=P=0:-(2-y) +x, e R1, sin(o) 3EV. NB: Any point, defined with active and reactive power as coordinates, that lies within both synchronous generator capability curve and the maximum field current circle is a safe operating point for the generator
