Synchronous machine ratings and synchronous machine transients

Part I:

The objective of the first part is to only prove the given equalities. Such equalities may be used to solve

questions 1, 2, or 3 in part III.

Part II

You have to use m-file Matlab to plot the synchronous generator capability curve and the maximum field

current circle on one figure using the numerical values of the machine under study. To do so, you have to

calculate current and internal voltage as requested (see questions 2 and 3). M-file will be used to write

the code and plot the figures.

Part III.

The first three questions are similar to those treated in homework#3. You have to use numerical values

to solve the first three questions. You may use the equalities of part I.

The remaining questions are related to the simulation tests. The values of the prime move power and the

internal generated voltage calculated in the three first questions should be used in the simulator. Note

that the numerical values that are given in the simulator are false. You should replace it by the ones that

are calculated in the first three equations. Note that the prime mover power is equal to the converted

power since mechanical losses are neglected. The following figure gives you an idea on the variation of

the prime mover power and the internal generated voltage during time. The symbol "?" means that the

numerical value is not given and you have to find it by solving questions, 1, 2, and 3.

Variation of the prime mover power and internal generated voltage during time