Multi-physics Modeling of Technological Systems

5Dynamic Performance Analysis Tools

Summary

This chapter approaches the tools used by the engineer in the analysis of dynamic systems aimed at characterizing their temporal and frequency behavior. These tools focus on the characterization of the transient response through temporal and frequency performance indicators and help in drawing conclusions on systems’ stability. All the notions presented here are illustrated by adequate technological examples that offer motivation for their study and facilitate their understanding. For each performance indicator employed in engineering, an introduction is provided, followed by an illustration of how the indicator can be used based on the dynamic model of the system. As the models used for conducting this analysis have a specific formalism, namely, the transfer functions, the latter are discussed in the very first sections of this chapter.

Learning outcomes

On completing this chapter, the reader is expected to:

• – Understand and identify the dynamic performance and frequency criteria based on a graphical representation of the system’s response;
• – Model the dynamic behavior of various technological systems of medium complexity using transfer functions;
• – Analyze the stability of a dynamic system;
• – Identify the dynamic performance and frequency criteria based on first- and second-order transfer functions;
• – Reduce the order of the transfer functions based on temporal and frequency criteria;
• – Design a system to fulfill its specifications ...