Proceedings of Power Industry Computer Applications Conference
DOI: 10.1109/pica.1995.515182
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Variable time step, implicit integration for extended-term power system dynamic simulation

Abstract: This paper describes the development of a variable time step algorithm for the numerical simulation of power system phenomena spanning time periods from several seconds to several hours.The algorithm automatically reduces the time step of integration to capture fast transients and increases it when the system variables are varying slowly. The solution algorithm is based on a numerically stable, implicit, low order integration similar to the trapezoidal rule.Simulation results for two scenarios are presented. T… Show more

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Cited by 51 publications
(42 citation statements)
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“…Variable time-step integration methods facilitates to alter the time-step on the run based on a local error of an estimated value for a time step and an actual value. If the local error is above a threshold, the program automatically alters the time-step of the integration [34,35].…”
Section: Variable Time-step Integration and Early Termination Methodsmentioning
confidence: 99%
“…Variable time-step integration methods facilitates to alter the time-step on the run based on a local error of an estimated value for a time step and an actual value. If the local error is above a threshold, the program automatically alters the time-step of the integration [34,35].…”
Section: Variable Time-step Integration and Early Termination Methodsmentioning
confidence: 99%
“…Approaches that automatically adjust the time step of integration in accordance with the system's dominant transients are used to study both short and long-term dynamic phenomena in integrated simulation tools [2]- [4]. The main idea behind these approaches is to automatically reduce the time step to capture fast transients.…”
Section: Introductionmentioning
confidence: 99%
“…As fast modes decay during the solutions process, the time step is gradually increased to reduce the computation time required to capture slow transients. The time step size (and possibly the order) of the integration method are adjusted, usually according to a truncation error defined as the difference between predicted and corrected solutions [2], [4], or the weighted root square mean norm of all corrected values of dynamic and algebraic variables [3]. The integration steps have to be further adjusted in order to fall on the time instants where discrete state events (such as variables hitting their limits) take place.…”
Section: Introductionmentioning
confidence: 99%
“…Among them, variable-step size algorithms have been also implemented to speed up the computation [6]. As the power systems community technological paradigm for integration has traditionally focused on the accuracy of the solution, integration methods for timedomain simulation with increasing accuracy (and growing complexity) have been proposed [7], [1], [2], [8], [9], [10], [11]. The trapezoidal method has been soon recommended [1] and is widely used.…”
mentioning
confidence: 99%