Voltage Magnitude, Phases, Current for Bus (Load Flow)

Thread Starter

Lambo Av

Joined Apr 24, 2019
Say there are 3 buses of:
Bus 1: Slack bus with a voltage source of E=1.0 and phase of 0°
Bus 2: a generator and a load.
Bus 3: a load.

The line impedance are given below:
z12 = 0.05 + j0.1
z13 = 0.02 + j0.05
z23 = j0.05
z11 = -j100
z22 = infinity
z33 = -j40

The generators and loads are given below:
Pg1=0, Qg1=0, Pl1=0, Ql1=0 --> (no power source on the slack bus)
Pg2=2, Qg2=0, Pl2=1, Ql2=1 --> (bus 2. Generator and load)
Pg3=0, Qg3=0, Pl3=3, Ql3=0.5 --> (bus 3. A load)

That is all for the description.
And the formula that comes to my mind is V = Z_bus * I
However, I only know Z_bus, not V and I. So, how do I calculate the Voltage Magnitude and Phases for the 3 buses, Current in bus 1 to 2, 2 to 3 and 1 to 3?

Any guidance are appreciated. Thanks