Estimating the Voltage Stability of a Power System

Kessel, P.; Glavitsch, H.

doi:10.1109/tpwrd.1986.4308013

Cited by 917 publications

(268 citation statements)

References 2 publications

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“…In [4], and later in [5], rigorous bifurcation analyses are carried out for the powerflow equations, indicating that this bifurcation phenomena observed in this simple example will occur in powerflow equations for a multibus network. Many other authors have proposed singularity of the Jacobian of the powerflow equations at the high voltage solution (or a closely related measure) as a test for the onset of voltage collapse [l], [2], [3], [6]. In particular, [6] recommends the use of the smallest singular value of the Jacobian of the powerflow equations as a quantitative measure of proximity to voltage collapse.…”

Section: Static Framework For One Line Systemmentioning

confidence: 99%

An energy based security measure for assessing vulnerability to voltage collapse

DeMarco

Overbye

1990

IEEE Trans. Power Syst.

148

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This paper defines a security measure to indicate vulnerability to voltage collapse based on an energy function for system models that include voltage variation and reactive loads. The system dynamic model, the energy function and the security measure are first motivated in a simple radial system. Application of the new measure and its computational aspects are then examined in a standard 30 bus example (New England System). The new measure captures nonlinear effects such as var limits on generators that can influence the systems vulnerability to collapse. The behavior of the index with respect to network load increases is nearly linear over a wide range of load variation, facilitating prediction of the onset of collapse. KEY WORDS : Voltage collapse, voltage stability, energy functions, Lyapunov functions, security assessment. I. BACKGROUND AND MOTIVATIONA large portion of the recent literature devoted to voltage collapse has had as its goal identifying the threshold of voltage collapse, or more generally, developing a security measure to quantify how "close" a particular operating point is to voltage collapse. The crucial point in judging the effectiveness of the later methods is whether or not the "distance" of a given operating point to voltage collapse is physically reasonable and can provide planners and operators with an indication of when corrective control action is necessary. The goal of the work to be presented here is to introduce an energy based measure of proximity to collapse. The method will be motivated by examining a single line example in detail, first in a static setting, and then extended to the desired dynamic framework. This will be followed by application of the energy function approach to the New England 30 bus test system that has been used in the literature to evaluate other voltage collapse indices. Application to this 30 bus system includes a discussion of the computational issues and the uses of the method. SM 712-1 PWRSA paper recormended and approved by t h e I E E E Power System E n g i n e e r i n g Committee of t h e I E E E Power E n g i n e e r i n g S o c i e t y f o r p r e s e n t a t i o n a t t h e IEEE/PES STATIC FRAMEWORK FOR ONE LINE SYSTEMTo motivate the energy based method, we begin by examining the static powerflow in a single line example. Consider a system with a single series transmission line (ignore shunts) connecting two buses, numbered 1 and 2. Bus 1 is treated as a slack bus, with voltage magnitude fixed at 1.0 pu. For simplicity, we will assume that the transmission line is lossless, so that real power injection at bus 1 must equal real power consumed at bus 2. Also, we will assume that a load is attached at bus 2, and is represented as constant P-Q demand. The following analysis extends easily to the case of P and Q specified as functions of bus voltage. The resulting power balance equations at bus 2 are: For B12 = -B22 = 10.0, the locus of points in the a-V space satisfying these constraints for a range of P and Q values are shown in Figure 1. T...

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Section: Static Framework For One Line Systemmentioning

confidence: 99%

An energy based security measure for assessing vulnerability to voltage collapse

DeMarco

Overbye

1990

IEEE Trans. Power Syst.

148

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“…Two types of UPFC models are reported in papers [22][23][24][25]. One is coupled model [22] and other is decoupled model [23][24][25].…”

Section: Fig 3: Basic Model Of Svcmentioning

confidence: 99%

“…One is coupled model [22] and other is decoupled model [23][24][25]. In the first type, UPFC is modeled with series combination of a voltage source and impedance in the transmission line.…”

Section: Fig 3: Basic Model Of Svcmentioning

confidence: 99%

Improvement of Voltage Profile and Reduce Power System Losses by using Multi Type Facts Devices

Rambabu¹,

Dr.Y.P.²,

Dr.Ch.³

2011

IJCA

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In emerging electric power systems, increased transactions often lead to the situations where the system no longer remains in secure operating region. The flexible Ac transmission system (FACTS) controllers can play an important role in the power system security enhancement. However, due to high capital investment, it is necessary to locate these controllers optimally in the power system. FACTS devices can regulate the active and reactive power control as well as adaptive to voltage-magnitude control simultaneously because of their flexibility and fast control characteristics. Placement of these devices in suitable location can lead to control in line flow and maintain bus voltages in desired level and so improve voltage stability margins.This paper proposes a systematic method by which optimal location of MUTI TYPE FACTS DEVICES to be installed. FACTS DEVICES model is incorporated into a NewtonRaphson algorithm to perform load flow analysis. Optimizing its location becomes a concern when coming to the practical implementation stage. Proposed algorithm is tested on IEEE 5 bus power system for optimal allocation of multi-type FACTS devices and results are presented.

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“…It is meant to enhance controllability and increase power transfer capability of the network. [3] A Static Synchronous Series Compensator (SSSC) is a type of FACTS which is connected in series with a transmission line through the coupling transformer. Optimal Power Flow (OPF) is an important tool for power system operators both in planning and operating stages.…”

Section: Introductionmentioning

confidence: 99%

Application of SSSC FACTS Device in Reactive power flow Solution using Biogeography-based optimization

Joshi¹,

Kumar²,

Mathur³

2015

International Journal of Innovative Research in Electrical, Ele

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This paper describe the reactive power flow solution based BBO to amend the performance of the power system. Biogeography-based optimization is incorporating flexible AC transmission systems (FACTS). Static Synchronous Series Compensator (SSSC) is type of FACTS device used in this paper. In this BBO Store best parent solution and apply mutation and migration process on remaining parents to produce best fitted child sets. This paper define the problem of optimal power flow solution is very severe in modern interconnected transmission system the control of reactive and real power has to be fast to insure that the system remains stable under all condition of operation. The use of thyristor based controllers enable a transmission system to be flexible using SSSC FACTS is a series connected FACTS controller. The proposed BBO method gives better solution quality compared to particle swarm optimization with static synchronous series compensator facts device. The simulation results show that the proposed BBO algorithm is effective, fast and accurate in finding the optimal parameter settings for FACTS devices to solve OPF problems. BBO algorithm is tested on IEEE 14-bus with SSSC FACTS device gives better solution to enhance the system performance.

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Estimating the Voltage Stability of a Power System

Cited by 917 publications

References 2 publications

An energy based security measure for assessing vulnerability to voltage collapse

An energy based security measure for assessing vulnerability to voltage collapse

Improvement of Voltage Profile and Reduce Power System Losses by using Multi Type Facts Devices

Application of SSSC FACTS Device in Reactive power flow Solution using Biogeography-based optimization

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