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# DC Models formulations | ||
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!!! note | ||
Multi-terminal DC models are still in early stages of development and future versions will add a more comprehensive list of formulations | ||
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--- | ||
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## LossLessLine | ||
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`LossLessLine` models are used with `PSY.DCBranch` models. | ||
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```@docs | ||
LossLessLine | ||
``` | ||
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**Variables:** | ||
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- [`FlowActivePowerVariable`](@ref): | ||
- Bounds: ``(R^\text{min},R^\text{max})`` | ||
- Symbol: ``f`` | ||
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**Static Parameters** | ||
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- ``R^\text{from,min}`` = `PowerSystems.get_active_power_limits_from(branch).min` | ||
- ``R^\text{from,max}`` = `PowerSystems.get_active_power_limits_from(branch).max` | ||
- ``R^\text{to,min}`` = `PowerSystems.get_active_power_limits_to(branch).min` | ||
- ``R^\text{to,max}`` = `PowerSystems.get_active_power_limits_to(branch).max` | ||
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Then, the minimum and maximum are computed as `R^\text{min} = \min(R^\text{from,min}, R^\text{to,min})` and `R^\text{max} = \min(R^\text{from,max}, R^\text{to,max})` | ||
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**Objective:** | ||
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No cost is added to the objective function. | ||
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**Expressions:** | ||
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The variable `FlowActivePowerVariable` ``f`` is added to the nodal balance expression `ActivePowerBalance` for DC Buses, by adding the flow ``f`` in the receiving DC bus and subtracting it from the sending DC bus. | ||
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**Constraints:** | ||
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No constraints are added to the function. | ||
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--- | ||
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## LossLessConverter | ||
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Converters are used to interface the AC Buses with DC Buses. | ||
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```@docs | ||
LossLessConverter | ||
``` | ||
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**Variables:** | ||
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- [`ActivePowerVariable`](@ref): | ||
- Bounds: ``(P^\text{min},P^\text{max})`` | ||
- Symbol: ``p`` | ||
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**Static Parameters:** | ||
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- ``P^\text{min}`` = `PowerSystems.get_active_power_limits(device).min` | ||
- ``P^\text{max}`` = `PowerSystems.get_active_power_limits(device).max` | ||
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**Objective:** | ||
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No cost is added to the objective function. | ||
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**Expressions:** | ||
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The variable `ActivePowerVariable` ``p`` is added positive to the AC balance expression `ActivePowerBalance` for AC Buses, and added negative to `ActivePowerBalance` for DC Buses, balancing both sides. | ||
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**Constraints:** | ||
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No constraints are added to the function. |