Question

Figure 1 shows the single line diagram of a simple three-bus system. Line impedances are marked in per unit on a 100 MVA base. Line resistances and line charging susceptances are neglected. (a) Using Fast Decoupled method, calculate the value for $\delta_2$, $\delta_3$, $V_2$ and $V_3$. Given the initial value of $V_2^{(0)}= V_3^{(0)}=1.0\angle0^\circ$ per unit. Perform ONE (1) iteration only. (b) In case, where the bus voltages converge to $V_2 = 0.9 - j0.1 \text{pu}$ $V_3 = 0.95 - j0.05 \text{pu}$ Calculate the line flows and line losses. $V_1 = 1\angle20^\circ$ Slack bus j0.0125 $\frac{j1}{30}$ 2 400 MW 3 300 MW 270 Mvar Figure 1 j0.05 $\rightarrow$ 320 Mvar

          Figure 1 shows the single line diagram of a simple three-bus system. Line impedances are
marked in per unit on a 100 MVA base. Line resistances and line charging susceptances are
neglected.
(a) Using Fast Decoupled method, calculate the value for $\delta_2$, $\delta_3$, $V_2$ and $V_3$. Given the initial
value of $V_2^{(0)}= V_3^{(0)}=1.0\angle0^\circ$ per unit. Perform ONE (1) iteration only.
(b) In case, where the bus voltages converge to
$V_2 = 0.9 - j0.1 \text{pu}$
$V_3 = 0.95 - j0.05 \text{pu}$ 
Calculate the line flows and line losses.
$V_1 = 1\angle20^\circ$
Slack
bus
j0.0125
$\frac{j1}{30}$
2
400 MW
3
300 MW 270 Mvar
Figure 1
j0.05
$\rightarrow$ 320 Mvar

Figure 1 shows the single line diagram of a simple three-bus system. Line impedances are
marked in per unit on a 100 MVA base. Line resistances and line charging susceptances are
neglected.
(a) Using Fast Decoupled method, calculate the value for δ2, δ3, V2 and V3. Given the initial
value of V2^(0)= V3^(0)=1.0∠0^∘ per unit. Perform ONE (1) iteration only.
(b) In case, where the bus voltages converge to
V2 = 0.9 - j0.1 pu
V3 = 0.95 - j0.05 pu
Calculate the line flows and line losses.
V1 = 1∠20^∘
Slack
bus
j0.0125
(j1)/(30)
2
400 MW
3
300 MW 270 Mvar
Figure 1
j0.05
→ 320 Mvar

Added by April C.

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