ENG5031 Fault Detection, Isolation And Reconfiguration Assignment.

(a) Construct an event tree diagram and fault tree diagram based on the description of the offshore separator in Figure Q1 when the gas outlet is blocked.

(b) Hence or otherwise, given the fault probability of the components shown in Table Q1, calculate the probability of the separator exploding.

(c) By considering the main failure modes for this separator, construct an appropriate FMEA for this system using the values given in Table Q1. Use the resulting PRN to determine the most critical component within the system described above.

Table Q1.

Question 3 - A typical first order system can be presented by the following transfer function:

GP(s) = y(s)/u(s) = K/(Ts+1)

Here K is the gain of the system and T is the time constant.

(a) With respect to the system shown above, describe in detail what is meant by the following terms:

(i) Multiplicative Faults

(ii) Additive Faults

Illustrate your answer with appropriate diagrams.

(b) In the context of fault detection, describe in detail what is meant by output error residual. Illustrate your answer with appropriate diagrams.

(c) Derive the output error residual parity equation for the following faults in the first order system described above:

(i) Faults present in the gain K and time constant T.

(ii) Faults present in the input and output.

(d) Hence or otherwise define the associated output error residual time domain equations for stepwise faults of the types discussed in part (c).

(e) Sketch the output error residual time histories for both stepwise and drift-wise faults in the presence of a step input to the system. Consider both Multiplicative and Additive Faults.