Fix typos in documentation (#768)

Co-authored-by: lbonaldo <[email protected]>

Project.toml

@@ -1,7 +1,7 @@
 name = "GenX"
 uuid = "5d317b1e-30ec-4ed6-a8ce-8d2d88d7cfac"
 authors = ["Bonaldo, Luca", "Chakrabarti, Sambuddha", "Cheng, Fangwei", "Ding, Yifu", "Jenkins, Jesse D.", "Luo, Qian", "Macdonald, Ruaridh", "Mallapragada, Dharik", "Manocha, Aneesha", "Mantegna, Gabe ", "Morris, Jack", "Patankar, Neha", "Pecci, Filippo", "Schwartz, Aaron", "Schwartz, Jacob", "Schivley, Greg", "Sepulveda, Nestor", "Xu, Qingyu", "Zhou, Justin"]
-version = "0.4.1-dev.18"
+version = "0.4.1-dev.19"
 
 [deps]
 CSV = "336ed68f-0bac-5ca0-87d4-7b16caf5d00b"

docs/src/Model_Concept_Overview/model_notation.md

@@ -135,7 +135,7 @@ $\mathcal{W} \subseteq \mathcal{G}$ | where $\mathcal{W}$ set of hydroelectric g
 |$r^{ac,cha}_{y,z,t} \in \mathbb{R}_+$ |  Upward spinning reserves contribution \[MW\] for the storage AC charge component from technology $y$ in zone $z$ at time $t$ - only applicable for co-located VRE and storage resources with a storage AC charge component, $y \in \mathcal{VS}^{sym,ac} \cup y \in \mathcal{VS}^{asym,ac,cha}$ |
 |$\alpha^{Contingency,Aux}_{y,z} \in \{0,1\}$ | Binary variable that is set to be 1 if the total installed capacity  $\Delta^{\text{total}}_{y,z} > 0$ for any generator $y \in \mathcal{UC}$ and zone $z$, and can be 0 otherwise |
 |$\Phi_{l,t} \in \mathbb{R}_+$ | Power flow in line $l$ at time step $t$ \[MWh\]|
-|$\theta_{z,t} \in \mathbb{R}$ | Volta phase angle in zone $z$ at time step $t$ \[radian\]|
+|$\theta_{z,t} \in \mathbb{R}$ | Voltage phase angle in zone $z$ at time step $t$ \[radian\]|
 |$\nu_{y,z,t}$ | Commitment state of the generation cluster $y$ in zone $z$ at time $t$|
 |$\chi_{y,z,t}$ | Number of startup decisions,  of the generation cluster $y$ in zone $z$ at time $t$|
 |$\zeta_{y,z,t}$ | Number of shutdown decisions,  of the generation cluster $y$ in zone $z$ at time $t$|

src/model/core/transmission/dcopf_transmission.jl

@@ -1,5 +1,5 @@
 @doc raw"""
-	function dcopf_transmission!(EP::Model, inputs::Dict, setup::Dict)
+    dcopf_transmission!(EP::Model, inputs::Dict, setup::Dict)
 The addtional constraints imposed upon the line flows in the case of DC-OPF are as follows:
 For the definition of the line flows, in terms of the voltage phase angles:
 ```math
@@ -14,7 +14,7 @@ For imposing the constraint of maximum allowed voltage phase angle difference ac
 	& \sum_{z\in \mathcal{Z}}{(\varphi^{map}_{l,z} \times \theta_{z,t})} \geq -\Delta \theta^{\max}_{l} \quad \forall l \in \mathcal{L}, \forall t  \in \mathcal{T}\\
 \end{aligned}
 ```
-Finally, we enforce the reference voltage phase angle constraint:
+Finally, we enforce the reference voltage phase angle constraint (for the slack bus/reference bus):
 ```math
 \begin{aligned}
 \theta_{1,t} = 0 \quad \forall t  \in \mathcal{T}

src/model/core/transmission/investment_transmission.jl

@@ -1,13 +1,15 @@
 @doc raw"""
-    function investment_transmission!(EP::Model, inputs::Dict, setup::Dict)
-This function model transmission expansion and adds transmission reinforcement or construction costs to the objective function. Transmission reinforcement costs are equal to the sum across all lines of the product between the transmission reinforcement/construction cost, $pi^{TCAP}_{l}$, times the additional transmission capacity variable, $\bigtriangleup\varphi^{cap}_{l}$.
+    investment_transmission!(EP::Model, inputs::Dict, setup::Dict)
+This function model transmission expansion and adds transmission reinforcement or construction costs to the objective function. Transmission reinforcement costs are equal to the sum across all lines of the product between the transmission reinforcement/construction cost, $\pi^{TCAP}_{l}$, times the additional transmission capacity variable, $\bigtriangleup\varphi^{cap}_{l}$.
 ```math
 \begin{aligned}
     & \sum_{l \in \mathcal{L}}\left(\pi^{TCAP}_{l} \times \bigtriangleup\varphi^{cap}_{l}\right)
 \end{aligned}
 ```
 Note that fixed O\&M and replacement capital costs (depreciation) for existing transmission capacity is treated as a sunk cost and not included explicitly in the GenX objective function.
+
 **Accounting for Transmission Between Zones**
+
 Available transmission capacity between zones is set equal to the existing line's maximum power transfer capacity, $\overline{\varphi^{cap}_{l}}$, plus any transmission capacity added on that line (for lines eligible for expansion in the set $\mathcal{E}$). 
 ```math
 \begin{aligned}

src/model/core/transmission/transmission.jl

@@ -25,7 +25,7 @@ Transmission losses due to power flows can be accounted for in three different w
 	& \beta_{l,t}(\cdot) = \begin{cases} 0 & \text{if~} \text{losses.~0} \\ \\ \varphi^{loss}_{l}\times \mid \Phi_{l,t} \mid & \text{if~} \text{losses.~1} \\ \\ \ell_{l,t} &\text{if~} \text{losses.~2} \end{cases}, &\quad \forall l \in \mathcal{L},\forall t  \in \mathcal{T}
 \end{aligned}
 ```
-For the second option, an absolute value approximation is utilized to calculate the magnitude of the power flow on each line (reflecting the fact that negative power flows for a line linking nodes $i$ and $j$ represents flows from node $j$ to $i$ and causes the same magnitude of losses as an equal power flow from $i$ to $j$). This absolute value function is linearized such that the flow in the line must be equal to the subtraction of the auxiliary variable for flow in the positive direction, $\Phi^{+}_{l,t}$, and the auxiliary variable for flow in the negative direction, $\Phi^{+}_{l,t}$, of the line. Then, the magnitude of the flow is calculated as the sum of the two auxiliary variables. The sum of positive and negative directional flows are also constrained by the line flow capacity.
+For the second option, an absolute value approximation is utilized to calculate the magnitude of the power flow on each line (reflecting the fact that negative power flows for a line linking nodes $i$ and $j$ represents flows from node $j$ to $i$ and causes the same magnitude of losses as an equal power flow from $i$ to $j$). This absolute value function is linearized such that the flow in the line must be equal to the subtraction of the auxiliary variable for flow in the positive direction, $\Phi^{+}_{l,t}$, and the auxiliary variable for flow in the negative direction, $\Phi^{-}_{l,t}$, of the line. Then, the magnitude of the flow is calculated as the sum of the two auxiliary variables. The sum of positive and negative directional flows are also constrained by the line flow capacity.
 ```math
 \begin{aligned}
 % trasmission losses simple