From 4bf2f3d52b2e0a3384ba145fb843a89d231917eb Mon Sep 17 00:00:00 2001 From: Luke Labrie-Cleary Date: Mon, 7 Aug 2023 17:39:09 +0200 Subject: [PATCH] Update README.md --- dynamic_model/README.md | 7 +++++++ 1 file changed, 7 insertions(+) diff --git a/dynamic_model/README.md b/dynamic_model/README.md index 8d25864..b5fb413 100644 --- a/dynamic_model/README.md +++ b/dynamic_model/README.md @@ -1,6 +1,13 @@ # Model Non-linear dynamic model of the MSRE based on [Singh et al.](https://www.sciencedirect.com/science/article/pii/S030645491730381X). The model uses non-linear neutron kinetic equations, coupled to 1D linear heat transfer equations in order to model reactor dynamics. The neutron kinetics are expressed in terms of fractional power. As described in Singh et al., "The premise is that reactor power is proportional to neutron density, with all other parameters held fixed." The different components of the reactor, namely the core, heat exchanger and radiator are nodalized such that the dynamics of each is governed by its own system of equations, coupled to the other systems by delayed inlet/outlet terms. +Neutron kinetics are governed by + +```math +\frac{{dn(t)}}{{dt}} = \frac{{(q(t) - b)}}{{K}} n(t) + \sum_{{i=1}}^6 k_i C_i(t) + S(t) + +``` + # Method The model herein uses SciPy's ODE library. Sample implementation is shown below: