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Journal ArticleDOI

Dynamic Stability Calculations for an Arbitrary Number of Interconnected Synchronous Machines

John M. Uudrill
- 01 Mar 1968 - 
- Vol. 87, Iss: 3, pp 835-844
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TLDR
In this paper, the authors describe the small signal performance of a multi-machine synchronous power system by a set of differential equations of the form [x] = [A] [x], allowing standard multivariable control theory to be used in dynamic stability studies.
Abstract
Describing the small signal performance of a multi- machine synchronous power system by a set of differential equations of the form [x] = [A] [x] allows standard multivariable control theory to be used in dynamic stability studies. The construction of the [A] matrix for a multimachine power system involves the application of Kron's rotational transformation to the transmission network admittance matrix, and a matrix analysis of the synchronous machines using internal flux linkages as state variables.

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Journal ArticleDOI

Modeling, Analysis and Testing of Autonomous Operation of an Inverter-Based Microgrid

TL;DR: In this paper, the authors developed a model for autonomous operation of inverter-based micro-grids, where each sub-module is modeled in state-space form and all are combined together on a common reference frame.
Journal ArticleDOI

Concepts of Synchronous Machine Stability as Affected by Excitation Control

TL;DR: In this article, the stability of synchronous machines under small perturbations is explored by examining the case of a single machine connected to an infinite bus through external reactance, and the results are shown to be similar to ours.
Journal ArticleDOI

Small signal stability for parallel connected inverters in stand-alone AC supply systems

TL;DR: In this article, a small-signal analysis for parallel-connected inverters in stand-alone AC supply systems is presented, which is based on frequency and voltage droops, which depends on the local variable measurements and does not need control interconnections.
Journal ArticleDOI

Small-signal dynamic model of a micro-grid including conventional and electronically interfaced distributed resources

TL;DR: In this paper, a systematic approach to small-signal modeling of a micro-grid system that includes conventional (rotating machine) and electronically interfaced distributed resource (DR) units is presented.
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Modeling and control of microgrid: An overview

TL;DR: An overview of recent developments in modeling and control methods of microgrid as well as presenting the reason towards incorporating MG into the existing grid are presented.
References
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Journal ArticleDOI

Two-reaction theory of synchronous machines — Part II

TL;DR: In this article, the analysis presented in a previous paper is extended to include a consideration of synchronizing and damping torque during continuous and transient oscillations, the description of an equivalent circuit which has been found useful in calculating the decrement of the short circuit current of interconnected machines, and the derivation of simple approximate formulas for the roots of the equation determining the wave shape of the current on three-phase short circuit.
Journal ArticleDOI

Steady-state stability of synchronous machines as affected by voltage-regulator characteristics

TL;DR: The fact that voltage regulators may on occasion increase the stability limit is more or less well known as mentioned in this paper, and the present paper aims to contribute to the knowledge of the subject by:
Journal ArticleDOI

Matrix analysis of dynamic stability in synchronous multimachine systems

TL;DR: In this paper, a set of general coefficients related to the well known Heffron and Phillips constants is derived by means of matrix algebra, which allows complex impedance terms to be included in the analysis.
Journal ArticleDOI

A Digital Computer Program for the Automatic Determination of Dynamic Stability Limits

TL;DR: In this paper, the authors present a digital computer program which enables the rapid computation of dynamic stability limits for a single synchronous machine connected to an infinite receiving system through a transmission line.
Journal ArticleDOI

Analysis of synchronous machines connected to power-system networks

D.G. Taylor
TL;DR: The derivation is given of a matrix procedure for determining the voltages, currents and powers of machines in an efficient manner, this being particularly important in view of the number of times the electrical powers of Machines are computed in the course of a transient-stability calculation.
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