here is the link of part 3 httpswwwcheggcomhomeworkhelpquest

here is the link of part 3

https://www.chegg.com/homework-help/questions-and-answers/-q14226755?trackid=rq6jAvk9

In order to improve loadability, the transmission line in Part-4 is supplemented with series capacitive compensation. This is performed by installing two series capacitors at the receiving end and the sending end of the transmission line as shown in figure 3. The series compensation is specified as epsilon_series %. Given the exact- pi equivalent impedance Z\' = R\' + jX\' calculated in part-1 (iv), the compensation epsilon_series% reduces the overall reactance of the transmission line. The impedance value associated with each capacitive element is then given by: Z_cap = -j 1/2 X\' times (epsilon_series/100) The compensated transmission line sending end voltage, current and the receiving end voltage and current are represented by vector V_S, com, vector I_S, com, vector V_R, com and vector I_R, com. The relationship between these can be written as: vector V_S, com = vector V_S + vector V_S Z_cap vector I_S, com = vector I_S vector V_R = vector V_R, com + vector I_R, com Z_cap vector I_R = vector_R, com This can be rewritten in matrix form: [vector V_S, com vector I_S, com] = [1 0 Z_cap 1] [vector V_S vector I_S] [vector V_R vector I_R] = [1 0 Z_cap 1] [vector V_R, com vector I_R, com] Given the original transmission line model as: [vector V_S vector I_S] = [A C B D] [vector V_R vector I_R] The compensated transmission line model can be formulated by substitution of the matrix equations for [vector V_S, com vector I_S, com] and [vector V_R vector I_R] in the above matrix as:

Solution

the formula for zcap is

r one can also write the following:

My question is about the impedance\'s argument part:

or

take zcap and do substistte the values in the questions