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impedance.rst

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============= Impedance =============

.. seealso::
    :ref:`Unit Systems and Conventions <conventions>`

Create Function

.. autofunction:: pandapower.create_impedance

Input Parameters

net.impedance

.. tabularcolumns:: |p{0.10\linewidth}|p{0.10\linewidth}|p{0.15\linewidth}|p{0.4\linewidth}|

*necessary for executing a power flow calculation.

Electric Model

The impedance is modelled as a longitudinal per unit impedance with \underline{z}_{ft} \neq \underline{z}_{tf} :

alternate Text

The per unit values given in the parameter table are assumed to be relative to the rated voltage of from and to bus as well as to the apparent power given in the table. The per unit values are therefore transformed into the network per unit system:

\begin{align*}
 \underline{z}_{ft} &= (rft\_pu + j \cdot xft\_pu) \cdot \frac{S_{N}}{sn\_kva} \\
 \underline{z}_{tf} &= (rft\_pu + j \cdot xtf\_pu) \cdot \frac{S_{N}}{sn\_kva} \\
 \end{align*}

where S_{N} is the reference power of the per unit system (see :ref:`Unit Systems and Conventions<conventions>`).

The asymetric impedance results in an asymetric nodal point admittance matrix:

 \begin{bmatrix} Y_{00} & \dots & \dots  & Y_{nn} \\
 \vdots & \ddots & \underline{y}_{ft} & \vdots \\
 \vdots &  \underline{y}_{tf} & \ddots & \vdots \\
 \underline{Y}_{n0} & \dots & \dots & \underline{y}_{nn}\\
 \end{bmatrix}

Result Parameters

net.res_impedance

.. tabularcolumns:: |p{0.10\linewidth}|p{0.1\linewidth}|p{0.55\linewidth}|
\begin{align*}
 i\_from\_ka &= i_{from}\\
 i\_to\_ka &= i_{to}\\
 p\_from\_kw &= Re(\underline{v}_{from} \cdot \underline{i}^*_{from}) \\
 q\_from\_kvar &= Im(\underline{v}_{from} \cdot \underline{i}^*_{from}) \\
 p\_to\_kw &= Re(\underline{v}_{to} \cdot \underline{i}^*_{to}) \\
 q\_to\_kvar &= Im(\underline{v}_{to} \cdot \underline{i}^*_{to}) \\
     pl\_kw &= p\_from\_kw + p\_to\_kw \\
     ql\_kvar &= q\_from\_kvar + q\_to\_kvar \\
 \end{align*}