A two-time scale simulation for dynamic analysis of power systems

Abstract

This paper proposes a two-time scale simulation approach of both short-term and long-term dynamics in power systems.The short-term transient period is analyzed by a full-time scale simulation while a quasi-steady state model of the power system is used to simulate long-term dynamics. The proposed method is inspired of Singular Perturbation theory to model the interaction between the short-term and long-term dynamics. Based on this interaction, a suitable criterion to determine when the quasi-steady state model of a power system can be considered as a uniform approximation of the full-time scale model is proposed, which also determines the appropriate switching time between models. The proposed method is demonstrated on the 10-machine, 39-bus New England system and a 46-machine, 190-bus equivalent Mexican system.

Fast Sampling Control of Singularly Perturbed Systems with Actuator Saturation andL2Disturbance

“…Let D be the set of × diagonal matrices whose diagonal elements are either 1 or 0. There are 2 elements in D. Suppose these elements of D are labeled as , ∈ [1,2 ].…”

“…For example, in a power system, the flux linkages of the rotor windings are fast variables while the emf behind transient reactance, the generator's rotor angle in radians, and the actual rotor speed are the slow ones. Thus the power system can be modeled as a SPS, where the torque of the winding represents the perturbation parameter [2].…”

Slow Sampling Control of Singularly Perturbed Systems Subject to Actuator Saturation and L2 Disturbance

“…For example, a power system, the flux linkages of the rotor windings are fast variables while the electromotive force behind transient reactance, the generator's rotor angle in radians and the actual rotor speed are the slow variables. Thus, the power system can be modeled as an SPS, where the perturbation parameter ϵ represents the torque of the winding . In a greenhouse system, climate management is accomplished based on the differences in response times.…”

Quasi-Steady-State Model of Doubly-Fed Wind Power System for Grid-Connected Simulation

“…Paper [5] used the multi-time scale theory to simplify the model of the grid-connected doubly-fed wind power generators. Papers [6] and [7] explored how to reduce the order of power system model based on the multi-time scale theory. In [8], the quasi-steady-state approximation method was adopted to simplify the power system simulation model for analyzing the mid-and long-term voltage stability.…”