Modeling And Simulation

Question 1

Goals of modeling

Answer 1

• Formal specification
• Model aided development
• Verify specification
• Systematic validation

Question 2

Model Theory

Answer 2

1. Representation (One view on the reality/original)
2. Reduction (Only relevant attributes considered)
3. Pragmatic (Created for a specific purpose)

Question 3

Steps in white box modeling

Answer 3

1. Structured model (SysML)
2. Cause and effect model (Idealization)
3. Qualitative model (Formalization)
4. Quantitative model (Quantification)
5. Simplified model (Reduction)

Question 4

Non-causal model

Answer 4

• Information flow direction not defined
• Based on conservation of energy
• For each domain there is a flow and effort quantity

Question 5

Causal model

Answer 5

• Direction of information flow is given
• Numerical simulators available
• Can be used for SW

Question 6

Transformer

Answer 6

Effort stays effort and flow stays flow

Question 7

Gyrator

Answer 7

Effort becomes flow and flow becomes effort

Question 8

Energy storing converter

Answer 8

• Storage of energy can not be decoupled from transformation

- Capacitive and Inductive converters

Question 9

Black box

Answer 9

• Lot of data needed
• Easy do build
• No physical insight
• Prediction only possible in measured range

Question 10

Linear

Answer 10

Function is linear combination of parameters (value can be nonlinear)

Question 11

Nonlinear

Answer 11

Function is not a linear combination of parameters

Question 12

Least Squared estimation

Answer 12

y = u^T*Theta+e
Theta = [U^T*U]^-1*U^T*y