On participation factors for linear systems

Abstract

ISR develops, applies and teaches advanced methodologies of design and analysis toAbstract Participation factors are nondimensional scalars that measure the interaction between the modes and the state variables of a linear system. Since their introduction by Verghese, Pérez-Arriaga and Schweppe, participation factors have been used for analysis, order reduction and controller design in a variety of fields. In this paper, participation factors are revisited, resulting in new definitions. The aim of these definitions is to achieve a conceptual framework that doesn't hinge on any particular choice of initial condition. The initial condition is modeled as an uncertain quantity, which can be viewed either in a set-valued or a probabilistic setting. If the initial condition uncertainty obeys a symmetry condition, the new definitions are found to reduce to the original definition of participation factors.

Damping of Low-Frequency Oscillations by Supplementary Control of Power System Stabilizers

“…These indices are dimensionless quantities that aid to identify possible sources of problems related to the poorly damped and/or unstable modes. From the participation factors the best generators to be equipped with PSS to provide effective degree of damping can be determined [1,3,11].…”

“…This is achieved by a supplementary stabilizing signal ∆V s applied to the automatic voltage regulator (AVR) of the generator as shown in Figure 2. This Figure also exemplifies the PSS basic structure to promote phase compensation to the phase lag introduced by generator, excitation system and transmission system [1,9]. Basically, this controller is composed of a static gain K pss which is adjusted to obtain the desired damping for unstable or poorly damped modes; a washout block is defined by the time constant T w (in the range of 1 to 20 seconds), it works as a filter for low-frequencies (0,8 to 2,0 Hz); the time constants T 1 , T 2 , T 3 and T 4 define two blocks lead-lag of the input signal [8].…”

“…The Power Sensitivity Model (PSM) is used to represent the electric power system [4]. Participation factors and residues will show which generators should be equipped with PSS [1,6,7,12]. The phase compensation method will be used to adjust the PSS parameters.…”

Instability Monitoring and Control of Power Systems

“…Participation factors are nondimensional scalars that measure the interaction between the modes and the state variables of a linear system [9,12,2]. Since their introduction in [9,12], participation factors…”

“…Participation factors measure the level of participation of modes in states and the level of participation of states in modes. The participation factors are dimensionless quantities that are independent of the units in which state variables are measured [9,12,2].…”