Multi Objective Allocation of Distributed Generations and Capacitor Banks in Simultaneous

Abstract

This paper has developed a novel multiobjective function for optimal sizing and sitting of
Distributed Generation (DG) units and capacitor banks in simultaneous mode to improve reliability
and reduce energy losses. The proposed function consists of four objectives: Cost of Energy Not
Supplied (CENS), System Average Interruption Duration Index (SAIDI), costs of energy loss and
investment. A novel structure has been suggested for Differential Evolutionary Algorithm (DEA) to
solve this nonlinear complex problem and its results compared with related values of genetic
algorithm and simple DEA. In addition to the novel objective function, the other contribution of this
work is proposing a new model for load and energy cost. Three types of DGs, i.e., wind turbine,
solar cell and diesel generator have been employed in placement process. To verify the
comprehensiveness of the proposed function, three scenarios have been introduced: Scenario i)
First, placement of DGs, then capacitor banks, Scenario ii) First, placement of capacitor banks,
and then DGs, and Scenario iii) simultaneous placement of DGs and capacitor banks. Simulations
have been carried out on one part of practical distribution network in Metropolitan Tabriz in North
West of Iran. The results of simulations have been discussed and analyzed by using of the five novel
indices. The obtained simulation results using proposed function shows that the simultaneous
placement of distributed generations and capacitor banks results in more reduction of the energy
losses, and increase improvements of reliability indices as well as voltage profile.

Keywords


[1] Karimi M., Shayeghi H., Banki T., Farhadi P.,
Ghadimi N. Solving optimal capacitor allocation
problem using DEA in practical distribution networks.
Electrical Review 2012, (7a), pp. 91-93.
[2] Mohammadhosein Dideban, Noradin Ghadimi,
Mohammad Bagher Ahmadi and Mohammmad
Karimi, Optimal Location and Sizing of Shunt
Capacitors in Distribution Systems by Considering
Different Load Scenarios. J Electr Eng Technol Vol. 8,
No. 5, 2013, 7(1), pp. 1012-1020.
[3] Farhadi P., Shayeghi H., Sojoudi T., Karimi M.
Customer reliability improvement and power loss
reduction in radial distribution systems using
distributed generations. Indian Journal of Science and
Technology 2012, 5(3), pp. 2313-2317
[4] Taher S. A., Hasani M., Karimian A. A novel
method for optimal capacitor placement and sizing in
distribution systems with nonlinear loads and DG using
GA. Communications in Nonlinear Science and
Numerical Simulation 2011, 16, pp. 851-862.
[5] Zou K., Agalgaonkar A. P., Muttaqi K. M., Perera
S. Voltage support by distributed generation units and
shunt capacitors in distribution systems. IEEE Power &
Energy Society General Meeting, 2009. PES '09.
[6] Sajjadi S.M., Haghifam M.-R, Salehi J.
Simultaneous placement of distributed generation and
capacitors in distribution networks considering voltage
stability index. International Journal of Electrical
Power and Energy Systems 2013, 46, pp. 366-375.
[7] Guimara˜es M.A.N., Castro C.A., Romero R.
Distribution systems operation optimization through
reconfiguration and capacitor allocation by a dedicated
genetic algorithm. IET Generation, Transmission and
Distribution 2010, 4(11), pp. 1213-1222.
[8] Chang Ch.F. Reconfiguration and capacitor
placement for loss reduction of distribution systems by
ant colony search algorithm, IEEE Transactions on
Power Systems 2008, 23(4), pp. 1747-1755.
[9] Etemadi A.H., Fotuhi-Firuzabad M. Distribution
system reliability enhancement using optimal capacitor
placement. IET Generation, Transmission and
Distribution 2008, 2(5): 621-631.
[10] Das D. Optimal placement of capacitors in radial
distribution system using a Fuzzy-GA method.

Systems 2008, 30, pp. 361-367.
[11] Kim K.H., Rhee S.B., Kim S.N., You S.K.
Application of ESGA hybrid approach for voltage
profile improvement by capacitor placement. IEEE
Transactions on Power Delivery 2003, 18(4), pp.1516-
1522.
[12] C.L.Borges T., M. Falca˜o D. Optimal distributed
generation allocation for reliability, losses, and voltage
improvement. International Journal of Electrical Power
and Energy Systems 2006, 28, pp. 413-420.
[13] Biswas S., Kumar Goswami S., Chatterjee A.
Optimum distributed generation placement with
voltage sag effect minimization. Energy Conversion
and Management 2012, 53, pp. 163-174.
[14] Singh R.K., Goswami S.K. Optimum allocation of
distributed generations based on nodal pricing for
profit, loss reduction, and voltage improvement
including voltage rise issue. International Journal of
Electrical Power and Energy Systems 2010, 32(6), pp.
637-644.
[15] Sami T., Mahaei S.M., Hashemi Namarvar M.T.,
Iravani H. Optimal placement of DGs for reliability
and loss evaluation using DIgSILENT software, in, pp.
10th International Conference on Environment and
Electrical Engineering (EEEIC), Italy, 2011.
[16] Sanghvi A.P. Measurement and application of
customer interruption cost/value of service for costbenefit
reliability evaluation, pp. some Commonly
Raised Issues, IEEE Transactions on Power System,
1990, 5(4), pp. 1333-1344.
[17] Wacker G., Billinton R. Customer cost of electric
service, Proceedings of the IEEE, 1989, 77(6), pp.
919-930.
[18] billinton R., wangdee W. Customer outage cost
evaluation of an actual failure event, in, pp. Canadian
Conference on Electrical and Computer Engineering
(CCECE), Canada, 2002.
[19] Lehtonen M., Lemstrom B. Comparison of the
methods for assessing the customers outage costs, in,
pp. Proceedings of International Conference on Energy
Management and Power Delivery (EMPD '95),
Finaland, 1995.
[20] Shirmohammadi D., Hong H.W., Semlyn A., Luo
G.X. A compensation based power flow method for
weakly meshed distribution and transmission network.
IEEE Transactions on Power Systems 1988, 3(2), pp.
753- 762.
[21] Singh D., Singh D., Verma K. S. Multiobjective
optimization for distributed generation planning with
load models. IEEE Transactions on Power Systems
2009, 24(1), pp. 427-436.
[22] Brest J., Greiner S., Boskovic B., Mernik M.,
Zumer V., Self-adapting control parameters in
differential evolution: A comparative study on
numerical benchmark problems, IEEE Transactions on
Evolutionary Computation 2006, 10, pp.646-657.
[23] ChoWdhury A. A., AgarWal S.K., Koval D.O.
Reliability modeling of distributed generation in
conventional distribution systems planning and
analysis. IEEE Transactions on Industry Applications
2003, 39(5), pp. 1493-1498.