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Luke Labrie-Cleary 2023-09-21 15:13:25 +02:00 • committed by GitHub
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@ -8,7 +8,7 @@ The neutron kinetics are expressed in terms of fractional power. As described in
```math
\begin{equation}
\frac{{dn(t)}}{{dt}} = \frac{{(\rho(t) - \beta)}}{\Lambda} n(t) + \sum_{{i=1}}^6 k_i C_i(t) + S(t)
\frac{{dn(t)}}{{dt}} = \frac{{(\rho(t) - \beta)}}{\Lambda} n(t) + \sum_{{i=1}}^6 \lambda_i C_i(t) + S(t)
\end{equation}
```
@ -33,7 +33,7 @@ where $\rho_0$ is the reactivity necessary for steady state operation, found by
and $\rho_{ext}$ is external reactivity, e.g. from a reactivity insertion, and $\rho_{fb}$ is the feedback reactivity due to temperature differences in the core nodes, expressed as
```math
\rho_{fb}(t) = \alpha_f \sum_{i=1}^{n} I_{fi} (T_{f,0} - T_f(t)) + \alpha_g \sum_{i=1}^{n} I_{gi} (T_{g,0} - T_g(t)), \quad \text{where} \sum_{\text{regions}} I_{fi} = \sum_{\text{regions}} I_{gi} = 1.0
\rho_{fb}(t) = \alpha_f \sum_{i=1}^{n} I_{fi} (T_{f,0} - T_{f_i}(t)) + \alpha_g \sum_{i=1}^{n} I_{gi} (T_{g,0} - T_{g_i}(t)), \quad \text{where} \sum_{\text{regions}} I_{fi} = \sum_{\text{regions}} I_{gi} = 1.0
```
where $\alpha_f$ and $\alpha_g$ are the fuel and graphite temperature-reactivity coefficients respectively, and $I$ represents the weighted nuclear importance factor of each region.