This chapter examines the mathematical concept of discretization and its application to power system simulation. Discretization is a transformation by which continuous differential equations are transformed into difference algebraic equations. The importance of discretization is that it allows to produce solutions at and between time grid divisions.

Chapter Contents:

• 4.1 Discretization
• 4.1.1 Tunable integration
• 4.1.2 Root-matching
• 4.2 Electrical network discretization
• 4.2.1 Stand-alone branches
• 4.2.2 Branch pairs
• 4.2.3 Switches
• 4.3 Control network
• 4.3.1 State-variable equations
• 4.3.2 First-order transfer functions
• 4.3.3 Moving RMS
• 4.3.4 Moving average
• 4.3.5 Power flow
• 4.3.6 PID controller
• 4.3.7 PWM generator
• 4.4 Summary

Inspec keywords: differential algebraic equations; power system transients; power system simulation

Other keywords: power system simulation; multicore simulation; difference algebraic equations; continuous differential equations; time grid divisions; power system transients

Subjects: Algebra; Algebra; Power engineering computing; Power systems