HW Problem $2$

A synchrophasor measurement unit $($PMU$)$ is installed at each bus. A transmission line with a line reactance of $x_s$:$=0\mathrm{.}7$ pu transmits power between bus $1$ and $2.$

Voltage Phasors at bus $1$ and bus $2$: $V_1$:$=1\mathrm{.}05pu$

What is the power angle $$ if the voltage $V_2$:$=1\mathrm{.}05$ pu to transfer power from $1$ to $2$; and given the real power $P_{12}$:$=0\mathrm{.}916$ pu$?$

The Real and Reactive Power transmitted from bus $1$ to bus $2$:

$P=\frac{V_1{V}_2}{x_s}sin(),Q=\frac{V_1(V_1-V_{2}cos())}{x_s}$

What is the ratio of the reactive power from bus $1$ and from bus $2?$

Calculate the real power flow from bus $1$ to bus $2$

Calculate the current from bus $1$ to bus $2$

Calculate the voltage drop across transmission line reactance

Calculate the reactive power loss in transmission lines $(I^2{x}_s)$