ith.rst

Thermal Short-Circuit Current

Current Calculation

The equivalent thermal current is calculated as:

$$\begin{aligned} \begin{bmatrix} \underline{I}_{th, 1} \\\ \vdots \\\ \underline{I}_{th, n} \\\ \end{bmatrix} = \begin{bmatrix} \sqrt{m_1 + n_1} \\\ \vdots \\\ \sqrt{m_n + n_n} \\\ \end{bmatrix} \begin{bmatrix} \underline{I}''_{k, 1} \\\ \vdots \\\ \underline{I}''_{k, n} \\\ \end{bmatrix} \end{aligned}$$

where m and n represent the dc and ac part of the thermal load.

Correction Factors m and n

For short-circuit currents far from synchronous generators, the factors are given as:

$$n = 1 m = \frac{1}{2 \cdot f \cdot T_k \cdot ln(\kappa - 1)} [e^{4 \cdot f \cdot T_k \cdot ln(\kappa - 1)} - 1]$$

where κ is the peak factor defined here <kappa> and T_k is the duration of the short-circuit current that can be defined as a parameter when running the short-circuit calculation.