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Numerical Methods of Electric Power Flow in Interconnected Systems

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Numerical Methods for Energy Applications

Part of the book series: Power Systems ((POWSYS))

Abstract

In this chapter the power flow problem is treated as mandatory part of the Energy Management System. The electrical energy flow into power system cannot be stored. The Energy Management System balance the request between the generation and load demand. From this point of view, the steady state behaviour of the power system is essentially to take action in case of contingency events. The authors of this chapter takes into account the most used algorithms of power flow problem, and they are presented in context of interconnected power systems with different type of buses: with load, generators, and reference buses, taking into consideration the limitation of the generated reactive power. The theoretical aspects of the numerical methods are related to the electric power flow in interconnected systems, and they are proved through the delivered case studies: Gauss-Seidel, and Newton Raphson.

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Abbreviations

FD:

Fast decoupled

FDLF:

Fast-decoupled load flow

EMS:

Energy Management System

GA:

Genetic algorithm

GS:

Gauss-Seidel

NR:

Newton-Raphson

PFP:

Power flow problem

PSO:

Particle Swarm Optimization

PV:

Generator bus

PQ :

Load bus

PS:

Power system

SCADA :

Supervisory Control and Data Acquisition

Slack (swing) bus:

Reference bus

SVCs:

Static var systems

B:

Susceptance

D1:

First time derivative

G:

Conductance

I:

Current

J:

Jacobian

y:

Admittance

P:

Active, real power

Q:

Reactive, imaginary power

R:

Resistance

S :

Complex (apparent) power

U:

Voltage magnitude

U :

Voltage phasor

x :

Unknown vector

X:

Reactance

ε:

Tolerance

φ:

Voltage angle

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Author information

Authors and Affiliations

  1. Department of Automatic Control and Electrical Engineering, University Dunarea de Jos of Galati, Galati, Romania

    Marian Gaiceanu

  2. Doctoral School of Fundamental and Engineering Sciences, University Dunarea de Jos of Galati, Galati, Romania

    Vasile Solcanu & Iulian Ghenea

  3. Department of Automatic Control and Applied Informatics, Gheorghe Asachi Technical University of Iasi, Iasi, Romania

    Theodora Gaiceanu

Authors
  1. Marian Gaiceanu
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  2. Vasile Solcanu
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  3. Theodora Gaiceanu
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  4. Iulian Ghenea
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Corresponding author

Correspondence to Marian Gaiceanu .

Editor information

Editors and Affiliations

  1. Department of Electrical Engineering, Seraj Higher Education Institute, Tabriz, Iran

    Naser Mahdavi Tabatabaei

  2. Faculty of Electronics, Communications and Computers, University of Pitesti, Pitesti, Romania

    Nicu Bizon

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Gaiceanu, M., Solcanu, V., Gaiceanu, T., Ghenea, I. (2021). Numerical Methods of Electric Power Flow in Interconnected Systems. In: Mahdavi Tabatabaei, N., Bizon, N. (eds) Numerical Methods for Energy Applications. Power Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-62191-9_33

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  • DOI: https://doi.org/10.1007/978-3-030-62191-9_33

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  • Print ISBN: 978-3-030-62190-2

  • Online ISBN: 978-3-030-62191-9

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