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Refine and reogranize [skip ci]
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GridKit/Model/EMT/Component/Branch/BranchDistributedFrequencyDependent/README.md

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GridKit/Model/EMT/Component/Branch/BranchLumpedConstant/README.md

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GridKit/Model/EMT/Component/Branch/README.md

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@@ -45,13 +45,13 @@ the effective shunt admittances depend on connected components and are not
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known at the bus level. The implicit DAE solver operates directly on
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the accumulated KCL residual:
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``` math
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```math
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\begin{aligned}
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0 &= \sum_{e \in \mathcal{E}} \mathbf{i}^\text{inj}_e
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0 &= \sum_{e \in \mathcal{E}} \mathbf{i}^{\mathrm{inj}}_e
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\end{aligned}
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```
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where $\mathbf{i}^\text{inj}_e$ is the vector of phase-current injections
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where $\mathbf{i}^{\mathrm{inj}}_e$ is the vector of phase-current injections
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of connected component $e$ into the bus, which are a function of the bus voltage and bus voltage derivative.
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### Algebraic Equations
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For a balanced three-phase initialization derived from the phasor voltage
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$V = |V| \angle \phi$ and nominal angular frequency $\omega_0 = 2 \pi f_0$,
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``` math
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```math
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\mathbf{v}(0) = \sqrt{2}\,|V|
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\begin{bmatrix}
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\cos(\phi) \\
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and
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``` math
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```math
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\dot{\mathbf{v}}(0) = -\sqrt{2}\,|V|\,\omega_0
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\begin{bmatrix}
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\sin(\phi) \\
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\end{bmatrix}
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```
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## Model Outputs
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## Monitors
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Phase voltages $v_a$, $v_b$, and $v_c$ are monitorable model outputs.
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Phase-voltage derivatives $\dot{v}_a$, $\dot{v}_b$, and $\dot{v}_c$ are also available as monitorable outputs.
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Monitor | Units | Description | Note
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------- | ----- | ----------- | ----
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`v` | [V] | Bus voltage | $\mathbf{v} \in \mathbb{R}^3$
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`dv` | [V/s] | Bus voltage derivative | $\dot{\mathbf{v}} \in \mathbb{R}^3$

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