Simplified Models to Determine Nodal Voltagesin Problems of Optimal Allocation of Capacitor Banks in Power Distribution Networks
This paper presents two simplified models to
determine nodal voltages in power distribution networks. These
models allow estimating the impact of the installation of reactive
power compensations equipments like fixed or switched capacitor
banks. The procedure used to develop the models is similar to the
procedure used to develop linear power flow models of transmission
lines, which have been widely used in optimization problems of
operation planning and system expansion. The steady state non-linear
load flow equations are approximated by linear equations relating the
voltage amplitude and currents. The approximations of the linear
equations are based on the high relationship between line resistance
and line reactance (ratio R/X), which is valid for power distribution
networks. The performance and accuracy of the models are evaluated
through comparisons with the exact results obtained from the
solution of the load flow using two test networks: a hypothetical
network with 23 nodes and a real network with 217 nodes.
[1] Willis, H. L. (2004). "Power distribution planning reference book",
Second Edition, Marcel Dekker, Inc. 1217 pag.
[2] Monticelli, A. e Garcia, A. (2003). Introduction to Electric Power
Systems (in portuguese). Editora da Unicamp, 251p.
[3] Romero, R, Monticelli, A., Garcia, A. e Haffner, S. (2002). "Test
systems and mathematical models for transmission network expansion
planning", IEE Proc.-Gener. Transm. Distrib., Vol 149, No. 1, January,
pp. 27-36.
[4] Marquesan, M. M., Haffner, S., Lemos, F.A.B., Pereira, L.A. e Gasperin L.V.
(2005). "Simplified models of distribution networks for use in optimization
problems" (in portuguese), "Book of Abstracts and Procedding of the 6th
Latin-American Congress: Electricity Generation and Transmission".
[5] Haffner, S., Pereira, L. F. A., Pereira, L. A., Barreto, L., (2008).
"Multistage Model for distribution Expansion Planning with Distributed
Generation - Part I: Problem Formulation", IEEE Transactions on Power
Delivery".
[6] Haffner, S., Pereira, L. F. A., Pereira, L. A., Barreto, L., (2008).
"Multistage Model for distribution Expansion Planning with Distributed
Generation - Part II: Numerical Results", IEEE Transactions on Power
Delivery".
[7] Lauby, M. G. (1988). "Evaluation of a local DC load flow screening
method for branch contingency selection of overloads", IEEE
Transactions on Power Systems, Vol. 3, No. 3, August, pp. 923-928.
[8] Haque, M. H. (1996). "Load flow solution of distribution systems with
voltage dependent load models", Electric Power Systems Research, 36,
pp. 151-156.
[9] Alves, M. L. (2005). "System for Optimal Capacitors and Voltage
Regulators Allocation in Electric Power Distribution Networks" (in
portuguese) -. Msc Dissertation - PUCRS, Brazil.
[10] Haffner, S., Alves, M. L. (2005). "Optimal allocation of capacitor banks
and voltage regulator in electric power distribution networks" (in
portuguese), "Book of Abstracts and Proceeding of the 6th Latin-
American Congress: Electricity Generation and Transmission".
[1] Willis, H. L. (2004). "Power distribution planning reference book",
Second Edition, Marcel Dekker, Inc. 1217 pag.
[2] Monticelli, A. e Garcia, A. (2003). Introduction to Electric Power
Systems (in portuguese). Editora da Unicamp, 251p.
[3] Romero, R, Monticelli, A., Garcia, A. e Haffner, S. (2002). "Test
systems and mathematical models for transmission network expansion
planning", IEE Proc.-Gener. Transm. Distrib., Vol 149, No. 1, January,
pp. 27-36.
[4] Marquesan, M. M., Haffner, S., Lemos, F.A.B., Pereira, L.A. e Gasperin L.V.
(2005). "Simplified models of distribution networks for use in optimization
problems" (in portuguese), "Book of Abstracts and Procedding of the 6th
Latin-American Congress: Electricity Generation and Transmission".
[5] Haffner, S., Pereira, L. F. A., Pereira, L. A., Barreto, L., (2008).
"Multistage Model for distribution Expansion Planning with Distributed
Generation - Part I: Problem Formulation", IEEE Transactions on Power
Delivery".
[6] Haffner, S., Pereira, L. F. A., Pereira, L. A., Barreto, L., (2008).
"Multistage Model for distribution Expansion Planning with Distributed
Generation - Part II: Numerical Results", IEEE Transactions on Power
Delivery".
[7] Lauby, M. G. (1988). "Evaluation of a local DC load flow screening
method for branch contingency selection of overloads", IEEE
Transactions on Power Systems, Vol. 3, No. 3, August, pp. 923-928.
[8] Haque, M. H. (1996). "Load flow solution of distribution systems with
voltage dependent load models", Electric Power Systems Research, 36,
pp. 151-156.
[9] Alves, M. L. (2005). "System for Optimal Capacitors and Voltage
Regulators Allocation in Electric Power Distribution Networks" (in
portuguese) -. Msc Dissertation - PUCRS, Brazil.
[10] Haffner, S., Alves, M. L. (2005). "Optimal allocation of capacitor banks
and voltage regulator in electric power distribution networks" (in
portuguese), "Book of Abstracts and Proceeding of the 6th Latin-
American Congress: Electricity Generation and Transmission".
@article{"International Journal of Electrical, Electronic and Communication Sciences:54025", author = "A. Pereira and S. Haffner and L. V. Gasperin", title = "Simplified Models to Determine Nodal Voltagesin Problems of Optimal Allocation of Capacitor Banks in Power Distribution Networks", abstract = "This paper presents two simplified models to
determine nodal voltages in power distribution networks. These
models allow estimating the impact of the installation of reactive
power compensations equipments like fixed or switched capacitor
banks. The procedure used to develop the models is similar to the
procedure used to develop linear power flow models of transmission
lines, which have been widely used in optimization problems of
operation planning and system expansion. The steady state non-linear
load flow equations are approximated by linear equations relating the
voltage amplitude and currents. The approximations of the linear
equations are based on the high relationship between line resistance
and line reactance (ratio R/X), which is valid for power distribution
networks. The performance and accuracy of the models are evaluated
through comparisons with the exact results obtained from the
solution of the load flow using two test networks: a hypothetical
network with 23 nodes and a real network with 217 nodes.", keywords = "Distribution network models, distribution systems,optimization, power system planning.", volume = "2", number = "4", pages = "582-7", }