Dynamic System Modelling Assignment
Added on - 21 Apr 2020
DYNAMIC SYSTEM MODELLING ASSIGNMENTBUFFERING SYSTEM DYNAMICSINTRODUCTIONThe system has a single element, the purpose of which is to supply a sink with a commodityfrom a source. This could be a liquid tank modelling system, a monetary income and outgoingsproblem, an energy supply and demand problem. The output is the same as the input withoutdelay, regardless of demand or supply. The flow must on average remain the same. The flow onaverage is an approximation if the supply is too fast for too long, then the reservoir will overflowor if the demand is too great for too long, then the reservoir will underflow.A top-level model of the system is represented as,The two main elements of the system are the charger which determines a known failure rate andsubsequent downtime and the reservoir. The charger can be operational or not, the reservoir canbe empty or not. There are two resulting variables from this, U and V, to represent chargeroperational and reservoir empty respectively. The most important feature of a system is itsreliability which is the mean time of operation before failure occurs. The health of the system isdenoted by the state variables H to show if it is healthy. When healthy, the buffer system canultimately supply the user Demand mass flow rate of liquid.
PROBLEM STATEMENTThe problem of determining the health of the system is reduced to three sub problems ofdetermining the U, V, W at any instant in time. Implementation of the pseudocode algorithmdetermines the health, H. using a truth table, it can be broken down as,The modelling is performed using the MATLAB Simulink to model, simulate and analyze thebuffer system. To model the dynamics of the reservoir, it is prudent to describe the systemmathematically,BUFFER SYSTEM MODELLING(i)Model Reservoir DynamicsSimulink block model
The outputA relay was added to the block model and the simulation was performed,
The output was obtained as follows,