MODAL DYNAMIC EQUIVALENTS IN POWER SYSTEM MODELING AND SIMULATION

ENRIQUE CASTRO-LEON, Purdue University

Abstract

A class of reduced dynamic equivalents is generated by removing the effect of weakly controllable and/or observable modes of a full order system using a conceptually simple procedure. Modes are ranked by input/output dominance, and expressions to compute error bounds due to the suppression of each are given. A unique sequence of deleted modes is determined, yielding progressively coarser models approximating the original system. Additional procedures have been designed to reduce the error even further on some particular cases. The techniques are tested in a power transmission line model, in a machine connected to an infinite bus, and in a 39 bus, 10 machine interconnected power system. In the last example the system is divided into internal and external subsystems and simulations are performed using the full system and reduced models. A model for the windings of the swing machine is developed that does not require an infinite bus or a network with strong connections to ground to perform a simulations. Component-connection techniques, where the system is pieced together from its components and the relationship between components written as separate equations, are applied throughout. An extension to a multilevel is proposed. The techniques were found to be extremely useful and amenable to its application to the aspects of model building and simulation of power systems.

Degree

Ph.D.

Subject Area

Electrical engineering|Energy

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