Testing of Trapezoidal Integration With Damping for the Solution of Power Transient Problems

Alvarado, J.; Lasseter,; Sánchez,

doi:10.1109/mper.1983.5520132

Cited by 35 publications

(14 citation statements)

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“…It should be emphasized that the proposed model, which can include generator damper windings (on both d and q axes), is also adequate for local mode oscillations studies (a single machine connected to an infinite bus via a reactive tie-line), as well as for inter area mode oscillations studies (multimachine systems) [16]. The used numerical integration method was the trapezoidal, because of its predominantly use in electrical power systems simulations [18,19]. The choice of this method was based on results reached with its use in the previous works [11][12][13][14][15][16] where accuracy was obtained both in the transient period as in the steady-state operation.…”

Section: The Modified Power Sensitivity Modelmentioning

confidence: 99%

An approach of optimal sensitivity applied in the tertiary loop of the automatic generation control

Belati

Alves

Costa³

2008

Electric Power Systems Research

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Section: The Modified Power Sensitivity Modelmentioning

confidence: 99%

An approach of optimal sensitivity applied in the tertiary loop of the automatic generation control

Belati

Alves

Costa³

2008

Electric Power Systems Research

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“…As increases, the real part decreases. 2) Numerical Oscillation: If the conditions described through (9) and (10) [10].…”

Section: A Discretizationmentioning

confidence: 99%

Position-Dependent Control of Numerical Integration in Circuit Simulation

Strunz

2004

IEEE Trans. Circuits Syst. II

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In circuit simulators based on nodal analysis techniques, one numerical integration method is typically used to solve all differential equations. The properties of this method determine to a large extent the types of waveforms which can be simulated accurately. In this work, a concept for the position dependent control of numerical integration to simulate waveforms with very diverse characteristics is introduced. The numerical integration is adjusted individually in different positions of the circuit so that an accurate emulation of diverse waveforms is attained. The object-oriented implementation is discussed. It is shown that the concept is numerically very efficient and therefore suitable for time critical simulation.

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“…The basic advantage of this method is that no prior knowledge of the network's operation is necessary in order to perform the simulation. The choice of integration rule [3] and its behavior when acting as a differentiator [3,4] and the accurate simulation of switches are the most important factors in creating a program for transient analysis of a power system in particular in power electronic systems.…”

Section: Introductionmentioning

confidence: 99%

Improvements in power system transient simulation by application of trigonometric trapezoidal rule

Hosseinian

2010

Comp Applic In Engineering

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This article describes a user-friendly simulation program for teaching and modeling power system transient and power quality issues. The main reason for the development of the program is to provide students with a useable tool for gaining an intuitive feel for power system transient and power quality problems. Emphasis was consistently laid on the development, validation and application of software for transient studies. To this end the primary focus of the research was the development of a generally oriented program in the form of a single module which is able to simulate any arbitrary configuration of power system in the time domain. Apart from the main program, sub-programs have been developed to derive the required data for transmission line, transformer, machine and other equipment parameters. A novel variety of trapezoidal integration (called trigonometric) has been used, it has accuracy and therefore speed advantages over ordinary trapezoidal integration. This method is compared with ordinary trapezoidal integration, backward Euler, Gear second order and Simpson. The comparison is based upon the error and the performance of each method as differentiator. At each step, the variables associated with the switches are checked and if any constraints are violated, the process backtracks to the time when the violation occurred and the node voltages and branch currents are calculated for this time instant. In order to reduce the simulation time the program accepts the branch currents and node voltages as initial conditions which allow the steady state to be reached in less time. ß

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Testing of Trapezoidal Integration With Damping for the Solution of Power Transient Problems

Cited by 35 publications

References 0 publications

An approach of optimal sensitivity applied in the tertiary loop of the automatic generation control

An approach of optimal sensitivity applied in the tertiary loop of the automatic generation control

Position-Dependent Control of Numerical Integration in Circuit Simulation

Improvements in power system transient simulation by application of trigonometric trapezoidal rule

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