System Dynamics Project

An introduction detailing what you are planning to model, who your team members are and what they have contributed to the project; · Modeling section in which you give the system you are investigating and the modeling of your system, and the assumptions you are making. You will show the elemental equations, nodal equations, path (loop) equations, the state variables, sources, and the state variable equations and the matrix form of those equations. You will be expected to explain the expressions for the constants you use in your elemental equations—this should come from the simplifying assumptions you make. · A results section in which you detail the numerical equations you will be using to solve the problem, the parameters you will be using in your equations and where those parameters have been obtained, the graphs of the state variables as a function of time, the outputs you want to find as a function of time; · and finally a Discussion of your results. Also discuss the step-size you use and its effect on the accuracy of the results · What have you learned from the project and what would you suggest for future work to understand the results more fully. You will need to vary at least 3 parameters to see the effect of parameter variation on your solutions. Your discussion section should be in depth—how each parameter change affects the overall results. All graphs should be properly labeled (units, what are the parameters tested). Additional to the parameter variations above, you will be expected to vary the source variables. In all your projects you probably have one source (maybe more). Please take one of the sources in the form A + B sin(omega*t) where A is the amplitude of the source strength and B is the variation in the source strength and omega is the frequency of the variation. Please vary at least two of these variables; for instance you can take B as being 0.1 A, 0.3 A; or omega as being some value between 0.5 pi to 2 pi.