Sources and Price Zones
=======================

Renewable Source
----------------

.. themed-figure:: ren_sources_model
   :width: 250
   :alt: Renewable source model
   :align: center

   Renewable source model   

For all renewable sources:

.. math::
    :label: eq:Rgen

    0 \leq \gamma_{rg} \leq 1 \qquad \forall rg \in \mathcal{RG}

For renewables sources connected to AC nodes:

.. math::
    :label: eq:Rgen_AC

    \begin{align}        
        Q_{rg}^{min} \leq Q_{rg} \leq Q_{rg}^{max} & \qquad \forall rg \in \mathcal{RG}_{ac} \\
        (\gamma_{rg} P_{rg})^2 + Q_{rg}^2 \leq S_{rg,rating}^{2^{max}} & \qquad \forall g \in \mathcal{RG}_{ac}
    \end{align}

.. themed-figure:: ren_source_limits
   :width: 250
   :alt: Renewable source limits
   :align: center

   Renewable source limits

Class Reference: :class:`pyflow_acdc.Classes.RenSource`

.. autoclass:: pyflow_acdc.Ren_Source
   :no-members:

.. list-table::
   :widths: 20 50
   :header-rows: 1

   * - Type
     - Figure for folium plotting
   * - wind
     - .. image:: ../images/modelling/icons/wind.svg
         :width: 100
         :alt: Wind source icon
         :align: center
   * - offshore wind
     - .. image:: ../images/modelling/icons/offshore_wind.svg
         :width: 100
         :alt: Wind source icon
         :align: center
   * - onshore wind
     - .. image:: ../images/modelling/icons/onshore_wind.svg
         :width: 100
         :alt: Wind source icon
         :align: center
   * - solar
     - .. image:: ../images/modelling/icons/solar.svg
         :width: 100
         :alt: Solar source icon
         :align: center



.. _Generator_modelling:

Generator
---------

.. themed-figure:: gen_model
   :width: 250
   :alt: Generator model
   :align: center

   Generator model

.. math::
    :label: eq:gen

    \begin{align}        
        P_{g}^{min} \leq P_{g} \leq P_{g}^{max} & \qquad \forall g \in \mathcal{G}_{ac}   \\
        Q_{g}^{min}  \leq Q_{g} \leq Q_{g}^{max}   & \qquad \forall g \in \mathcal{G}_{ac}  \\
        P_{g}^2+Q_{g}^2 \leq   S_{g,rating}^{2} & \qquad \forall g \in \mathcal{G}_{ac}  
    \end{align}

.. themed-figure:: gen_limits
   :width: 250
   :alt: Generator limits
   :align: center

   Generator limits

Class Reference: :class:`pyflow_acdc.Classes.Gen_AC`

.. autoclass:: pyflow_acdc.Gen_AC
   :no-members:

.. list-table::
   :widths: 20 30 20
   :header-rows: 1

   * - Type
     - Figure for folium plotting
     - Default cost
   * - hydro
     - .. image:: ../images/modelling/icons/hydro.svg
          :width: 100
          :alt: Hydro source icon
          :align: center
     -
   * - nuclear
     - .. image:: ../images/modelling/icons/nuclear.svg
          :width: 100
          :alt: Nuclear source icon
          :align: center
     -
   * - hard coal
     - .. image:: ../images/modelling/icons/coal.svg
          :width: 100
          :alt: Hard Coal source icon
          :align: center
     -
   * - solid biomass
     - .. image:: ../images/modelling/icons/Solid_Biomass.svg
          :width: 100
          :alt: Solid Biomass source icon
          :align: center
     -
   * - geothermal
     - .. image:: ../images/modelling/icons/Geothermal.svg
          :width: 100
          :alt: Geothermal source icon
          :align: center
     -
   * - lignite
     - .. image:: ../images/modelling/icons/Lignite.svg
          :width: 100
          :alt: Lignite source icon
          :align: center
     -
   * - natural gas
     - .. image:: ../images/modelling/icons/Natural_Gas.svg
          :width: 100
          :alt: Natural Gas source icon
          :align: center
     -
   * - oil
     - .. image:: ../images/modelling/icons/Oil.svg
          :width: 100
          :alt: Oil source icon
          :align: center
     -
   * - waste
     - .. image:: ../images/modelling/icons/Waste.svg
          :width: 100
          :alt: Waste source icon
          :align: center
     -
   * - biogas
     - .. image:: ../images/modelling/icons/Biogas.svg
          :width: 100
          :alt: Biogas source icon
          :align: center
     -
   * - ccgt
     - .. image:: ../images/modelling/icons/CCGT.svg
          :width: 100
          :alt: CCGT source icon
          :align: center
     -
   * - diesel
     - .. image:: ../images/modelling/icons/diesel.svg
          :width: 100
          :alt: Diesel source icon
          :align: center
     -
   * - shunt reactor
     - .. image:: ../images/modelling/icons/reactor.svg
          :width: 100
          :alt: Shunt reactor source icon
          :align: center
     -
   * - other
     - .. image:: ../images/modelling/icons/gen.svg
          :width: 100
          :alt: Other source icon
          :align: center
     -



.. _Price_zone_modelling:

Price Zone 
----------



.. themed-figure:: prize_zone_model
   :width: 400
   :alt: Price zone model
   :align: center

   Price zone model

Price zone model is taken from [3]_. The cost of generation quadratic curve is calculated in :doc:`market_coef`.

Class Reference: :class:`pyflow_acdc.Classes.Price_Zone`

.. autoclass:: pyflow_acdc.Price_Zone
   :no-members:

**References**

.. [3] B. C. Valerio, V. A. Lacerda, M. Cheah-Mañe, P. Gebraad, and O. Gomis-Bellmunt,
       "Optimizing offshore wind integration through multi-terminal DC grids: a market-based
       OPF framework for the North Sea interconnectors," IET Conference Proceedings, vol. 2025,
       no. 6, pp. 150–155, 2025. doi: 10.1049/icp.2025.1198