First Order Modelling - Modelling, analysis and control

Derives models for series resistor-inductor circuits and discusses analogies with mass-damper systems and summarises broader analogies between electrical and mechanical systems. Brief consideration of parallel resistor-inductor circuit.

This video is designed as an opportunity for you to test your knowledge with a worked example. It presents a typical tutorial/exam question on a mixing system with nonlinear reaction for you to try. Then develops solutions so you can compare their work with the possible solution provided.

This video is designed as an opportunity for you to test your knowledge with a worked example. It presents a typical tutorial/exam question on a heat exchanger system for you to try. Then develops solutions so you can compare your work work with the possible solution provided.

Looks at the modelling of a heat exchanger which has liquid flowing in at one temperature, being mixed in a tank in the presence of heating and then exiting tank at same flow rate. It is shown that his model has simple first order dynamics, but is represented as having two inputs rather than one.

This video is designed as an opportunity for you to test your knowledge with a worked example. It presents a typical tutorial/exam question on a tank system for you to try. Then develops solutions so you can compare their work with the possible solution provided.

Expands on the mixing tank example of the previous video by giving a numerical example and also showing how the modelling would be affected by the presence of a reaction within the tank which also results in nonlinear behaviour. Local linearisation in conjunction with deviation variables is used.

Introduces the modelling of a simple tank level system and shows this has a 1st order model.

Discusses the modelling of a mixing tank with no reaction. Introduces the concept of deviation variables. Again, this leads to a first order model. WARNING: There are 2 minor but obvious typos (11min and 11.38) in this show where the narrator manually writes T/Fo; should be just T because T=V/Fo.

Looks at models in first 6 videos and shows how to put into time constant form. Uses this to give an alternative view on analogies. Time constant form is discussed more in the videos on responses.

Derives models for simple thermal systems containing capacitance and insulation. Summarises analogies with other systems.

Derives models for the depth of simple tank systems with in-flow and out-flow based on pipe flow models. Considers high pressure input or direct inflow and analogies with electrical circuits.

Derives the model representing simple mass-damper systems with a focus on parallel arrangements but some brief discussion of alternatives.

Derives models for series resistor-capacitor circuits and discusses analogies with spring-damper systems. Brief consideration of parallel resistor-capacitor circuit.

Derives the model representing spring-damper systems with a focus on parallel arrangements and some brief discussion of a series set up.