Question

For a lossless line, at SIL, the voltage profile is __________, and the real power delivered, in terms of rated line voltageand surge impedance ${\mathbf{Z}}_{\mathbf{C}}$, is given by __________.

Short answer

Therefore, For a lossless line, at SIL, the voltage profile is constant, and the real power delivered, in terms of rated line voltage V and surge impedance , is given by ${\mathrm{Z}}_{\mathrm{c}},\mathrm{is}\mathrm{given}\mathrm{by}\frac{{\mathrm{V}}_{\mathrm{rated}}^2}{{\mathrm{Z}}_{\mathrm{c}}}.$

Step-by-step solution

Determine the formula of surge impedance loading and

Write the formula of surge impedance loading.

$\mathbf{SIL}\mathbf{=}\frac{{\mathbf{V}}_{\mathbf{rated}}^{\mathbf{2}}}{{\mathbf{Z}}_{\mathbf{c}}}$ ……. (1)

Here, ${\mathrm{Z}}_{\mathrm{c}}$is characteristics impedance and ${\mathrm{V}}_{\mathrm{rated}}$is rated line-to-line voltage.

$\left|V\left(X\right)\right|\mathbf{=}\left|V_R\right|$ ……. (2)

Here, ${\mathrm{V}}_{\mathrm{R}}$is a receiving end voltage.

Determine the answer.

From equation (1), the SIL (Surge impedance loading) in terms of rated line voltage and characteristics impedance is given.

Also, from equation (2), it is clear that, for a lossless line, the voltage profile is flat or constant.

Therefore, For a lossless line, at SIL, the voltage profile is constant, and the real power delivered, in terms of rated line voltage V and surge impedance , is given by ${\mathrm{Z}}_{\mathrm{C}},\mathrm{is}\mathrm{given}\mathrm{by}\frac{{\mathrm{V}}_{\mathrm{rated}}^2}{{\mathrm{Z}}_{\mathrm{C}}}$.