1. Simple Electrical Circuits:
Use of Kirchoff's voltage law (voltage balance) and component equations to derive 1st order models for simple series circuits.
i. Resistor-capacitor pdf file.
ii. Resistor-inductor pdf file.
iii. Video on resistor-capacitor modelling.
iv. Video on resistor-inductor modelling.
2. Simple mechanical systems:
Modelling a system of mechanical components arranged in parallel using force balance across components.
i. Spring-damper pdf file.
ii. Mass-damper pdf file.
iii. Video on spring-damper modelling.
iv. Video on mass-damper modelling.
3a. Fluid systems:
Fluid systems are driven by pressure differences across pipes/orifices causing flow, and storage components such as tanks. Balance is done with respect to volumes and/or molar quantities.
i. General fluid systems pdf file.
ii. Tank-level systems pdf file.
iii. Mixing tanks pdf file.
iv. Mixing tank with reaction pdf file.
3b. Fluid systems videos:
i. Video on pipes and tanks modelling.
ii. Video on tank level modelling.
iii. Video on mixing tanks.
iv. Video on mixing tank with reaction.
v. Tank system modelling tutorial video.
vi. Mixing tank tutorial video.
4. Thermal systems:
This could be a heat exchanger in manufacturing or as simple as domestic heating.
i. Heat exchanger pdf file.
ii. House temperature pdf file.
iii. Video on thermal system modelling.
iv. Video on heat exchanger modelling.
iv. Heat exchanger modelling tutorial video.
5. Analogous arrangements:
It is always useful to summarise the analogies between systems from different disciplines as this can help understand behaviours and support design.
i. Analogous 1st order systems pdf file.
ii. Video on modelling analogies and time constant form.
iii. Analogies with savings models.