• Ei tuloksia

Main scientific contribution of the thesis

The work done in this thesis can be divided into two areas: development and testing of active voltage control methods and development of distribution network planning. The scientific contribution of the thesis can be concluded as follows:

· Various voltage control methods (rule based and optimizing) for different kinds of situations have been developed and tested using time domain simulations.

· Operation of one developed coordinated voltage control method has been verified using real time simulations and also a real distribution network demonstration is conducted.

· The development process of active voltage control methods has been defined.

· Statistical distribution network planning is developed to take active voltage control into account.

· Issues that affect selection of voltage control method for a particular case are discussed.

The developed voltage control methods are relatively simple and their operation can be quite easily understood. Moreover, the developed methods can be implemented as a part of the already existing distribution management system which could encourage DNOs to take the methods into use because active voltage control would only be a new feature of the DMS and not a completely new system. Hence, the developed methods are such that taking them into use would be relatively easy to the DNOs.

The complete development process of active voltage control methods is defined in the thesis and also gone through using one of the developed voltage control methods. Most publications on active voltage control concentrate only on determining the control principles of the control algorithm and time domain operation and practical implementation issues are omitted. This is not, however, adequate to make the proposed method a real alternative in DNOs’ network planning procedure but the methods should be commercialized or, at least, their operation in real distribution networks needs to be demonstrated before the DNOs will consider taking the methods into real distribution network use.

Development and commercialization of active voltage control methods do not alone guarantee that the methods will be taken into real distribution network use. Also planning methods need to be developed in order to be able to show the possible benefits of utilizing active voltage control. In this thesis, a planning procedure that utilizes statistical distribution network planning is used to compare different voltage control strategies. Also other issues that affect the selection of the voltage control method for a particular case are discussed.

In conclusion, the studies of this thesis aim at making the introduction of active voltage control as easy as possible to the DNO. This is achieved by developing voltage control methods that are easily implementable in real distribution networks and by developing the distribution network planning procedure to enable comparison of alternative voltage control methods. First three of the barriers introduced in 1.1.1 are, hence, dealt with. In addition to these studies, also the network business regulation model needs to be modified and acquisition of adequate input data for active voltage control needs to be arranged to enable large-scale utilization of active voltage control.

The results of this thesis can be directly utilized by companies that produce network information systems and distribution management systems. Also distribution network

operators can utilize the results of this thesis in distribution network planning and operation.

At present, the network business regulation model does not encourage usage of active voltage control but this might change in the future if the regulators decide to change the model to incentivize towards minimizing the network’s total costs instead of the current practice of favouring investment costs over operating costs. Also the regulators can exploit the results of this thesis when the regulation model is contemplated. Active voltage control can also indirectly affect the business of companies that manufacture small generation units because high connection costs can make otherwise profitable DG projects uneconomical.

REFERENCES

[1] Directive 2009/28/EC on the promotion of the use of energy from renewable sources, European Union, Apr. 2009.

[2] N. Jenkins, R. Allan, P. Crossley, D. Kirchen and G. Strbac, Embedded Generation.

London, UK: The Institution of Electrical Engineers, 2000, 273 p.

[3] S. N. Liew and G. Strbac, "Maximising penetration of wind generation in existing distribution networks," IEE Proc. , Gener. Transm. Distrib., vol. 149, pp. 256-262, May 2002.

[4] L. F. Ochoa, C. J. Dent and G. P. Harrison, "Distribution Network Capacity Assessment: Variable DG and Active Networks," IEEE Trans. Power Syst., vol. 25, pp. 87-95, Feb. 2010.

[5] A. Mutanen, S. Repo and P. Järventausta, "AMR in distribution network state estimation," in Proc. 8th Nordic Electricity Distribution and Asset Management Conf., Bergen, Norway, Sept. 2008.

[6] A. Mutanen, A. Koto, A. Kulmala and P. Järventausta, "Development and Testing of a Branch Current Based Distribution System State Estimator," in Proc. 46th Int.

Universities' Power Engineering Conf. (UPEC), Soest, Germany, Sept. 2011.

[7] E. Lakervi and E. J. Holmes, Electricity Distribution Network Design, 2nd ed. London, UK: The Institution of Electrical Engineers, 1995, 325 p.

[8] S. Conti, S. Raiti and G. Vagliasindi, "Voltage sensitivity analysis in radial MV distribution networks using constant current models," in Proc. IEEE Int. Symposium on Industrial Electronics, Bari, Italy, July 2010, pp. 2548-2554.

[9] Voltage characteristics of electrity supplied by public distribution networks, European Standard EN 50160:2007, Sept. 2007.

[10] K. Mäki, "Novel Methods for Assessing the Protection Impacts of Distributed Generation in Distribution Network Planning," Ph.D. dissertation, Dept. of Electrical Energy Engineering, Tampere Univ. of Technology, Finland, 2007.

[11] IEEE Guide for Design, Operation, and Integration of Distributed Resource Island Systems with Electric Power Systems, IEEE Std 1547. 4-2011, July 2011.

[12] P. P. Barker and R. W. De Mello, "Determining the impact of distributed generation on power systems: Part 1 - radial distribution systems," in Proc. IEEE Power Engineering Society Summer Meeting, Seattle, USA, July 2000, pp. 1645-1656, vol.

3.

[13] C. L. Masters, "Voltage rise: the big issue when connecting embedded generation to long 11 kV overhead lines," Power Engineering Journal, vol. 16, pp. 5-12, Feb.

2002.

[14] M. S. Calovic, "Modeling and analysis of under-load tap-changing transformer control systems," IEEE Trans. Power Appar. Syst., vol. PAS-103, pp. 1909-1915, July 1984.

[15] SPAU 341 C Voltage regulator User´s manual and Technical description, ABB, 2007.

[16] M. Thomson, "Automatic-voltage-control relays and embedded generation, Part 1,"

Power Engineering Journal, vol. 14, pp. 71-76, Apr. 2000.

[17] M. Thomson, "Automatic voltage-control relays and embedded generation, Part 2,"

Power Engineering Journal, vol. 14, pp. 93-99, June 2000.

[18] M. Fila, G. A. Taylor, J. Hiscock, M. R. Irving and P. Lang, "Flexible voltage control to support distributed generation in distribution networks," in Proc. 43rd Int.

Universities’ Power Engineering Conference (UPEC), Padova, Italy, Sept. 2008.

[19] S. K. Salman and Z. G. Wan, "Fuzzy logic-based AVC relay for voltage control of distribution network with and without Distributed/Embedded generation," in Proc.

Power Tech 2007, Lausanne, Switzerland, July 2007, pp. 2128-2132.

[20] Huijuan Li, Yan Xu, S. Adhikari, D. T. Rizy, Fangxing Li and P. Irminger, "Real and reactive power control of a three-phase single-stage PV system and PV voltage stability," in Proc. IEEE Power and Energy Society General Meeting, San Diego, California, USA, July 2012.

[21] P. Kundur, Power System Stability and Control. New York, USA: McGraw-Hill, 1994, 1176 p.

[22] IEEE Recommended Practice for Excitation System Models for Power System Stability Studies, IEEE Std 421. 5-2005 (Revision of IEEE Std 421. 5-1992), May 2006.

[23] I. J. Nagrath and D. P. Kothari, Power System Engineering. New Delhi, India: Tata McGraw-Hill, 1994, 838 p.

[24] A. Keane, L. F. Ochoa, E. Vittal, C. J. Dent and G. P. Harrison, "Enhanced Utilization of Voltage Control Resources With Distributed Generation," IEEE Trans.

Power Syst., vol. 26, pp. 252-260, Feb. 2011.

[25] A. E. Kiprakis, "Maximising energy capture from distributed generators in weak networks," IEE Proc. , Gener. Transm. Distrib., vol. 151, pp. 611-618, Sept. 2004.

[26] E. Bompard, E. Carpaneto, G. Chicco and R. Napoli, "Voltage control in radial systems with dispersed generation," in Proc. Power Tech 99, Budabest, Hungary, Aug.-Sept. 1999.

[27] W. Freitas, J. C. M. Vieira, A. Morelato and W. Xu, "Influence of excitation system control modes on the allowable penetration level of distributed synchronous generators," IEEE Trans. Energy Convers., vol. 20, pp. 474-480, June 2005.

[28] J. D. Hurley, L. N. Bize and C. R. Mummert, "The adverse effects of excitation system VAr and power factor controllers," IEEE Trans. Energy Convers., vol. 14, pp.

1636-1645, Dec. 1999.

[29] Unitrol 1000, User's manual, ABB, 2002.

[30] M. H. J. Bollen and A. Sannino, "Voltage control with inverter-based distributed generation," IEEE Trans. Power Del., vol. 20, pp. 519-520, Jan. 2005.

[31] P. M. S. Carvalho, P. F. Correia and L. A. F. Ferreira, "Distributed Reactive Power Generation Control for Voltage Rise Mitigation in Distribution Networks," IEEE Trans. Power Syst., vol. 23, pp. 766-772, May 2008.

[32] R. Tonkoski, L. A. C. Lopes and T. H. M. El-Fouly, "Coordinated Active Power Curtailment of Grid Connected PV Inverters for Overvoltage Prevention," IEEE Trans. Sustain. Energy, vol. 2, pp. 139-147, Apr. 2011.

[33] T. Sansawatt, L. F. Ochoa and G. P. Harrison, "Integrating distributed generation using decentralised voltage regulation," in Proc. IEEE Power and Energy Society General Meeting, Minneapolis, Minnesota, USA , July 2010.

[34] Shohei Toma, T. Senjyu, A. Yona, H. Sekine, T. Funabashi and Chul-Hwan Kim,

"Optimal control of voltage in distribution systems by voltage reference management," in Proc. IEEE 2nd Int. Power and Energy Conf., Johor Bahru, Malaysia, Dec. 2008, pp. 1239-1244.

[35] M. Oshiro, K. Tanaka, A. Uehara, T. Senjyu, Y. Miyazato, A. Yona and T.

Funabashi, "Optimal voltage control in distribution systems with coordination of distribution installations," Int. Journal of Electrical Power & Energy Systems, vol.

32, pp. 1125-1134, Dec. 2010.

[36] F. A. Viawan and D. Karlsson, "Coordinated voltage and reactive power control in the presence of distributed generation," in Proc. IEEE Power and Energy Society General Meeting, Pittsburgh, Pennsylvania, USA, July 2008.

[37] F. A. Viawan and D. Karlsson, "Combined Local and Remote Voltage and Reactive Power Control in the Presence of Induction Machine Distributed Generation," IEEE Trans. Power Syst., vol. 22, pp. 2003-2012, Nov. 2007.

[38] Young-Jin Kim, Seon-Ju Ahn, Pyeong-Ik Hwang, Gi-Chan Pyo and Seung-Il Moon,

"Coordinated Control of a DG and Voltage Control Devices Using a Dynamic Programming Algorithm," IEEE Trans. Power Syst., vol. 28, pp. 42-51, Feb. 2013.

[39] J. Choi and J. Kim, "Advanced voltage regulation method of power distribution systems interconnected with dispersed storage and generation systems," IEEE Trans.

Power Del., vol. 16, pp. 329-334, Apr. 2001.

[40] J. Motohashi, K. Taguchi, T. Takano, M. Watanabe and K. Ogawa, "Development of advanced systems corresponding to the connection of dispersed generation to distribution system in Tokyo electric power company," in Proc. Cigre Session no. 40, Paris, France, Aug.-Sept. 2004.

[41] P. H. Nguyen, J. M. A. Myrzik and W. L. Kling, "Coordination of voltage regulation in active networks," in Proc. IEEE PES Transmission and Distribution Conference and Exposition, Chicago, USA, Apr. 2008.

[42] M. E. Baran and I. M. El-Markabi, "A Multiagent-Based Dispatching Scheme for Distributed Generators for Voltage Support on Distribution Feeders," IEEE Trans.

Power Syst., vol. 22, pp. 52-59, Feb. 2007.

[43] H. E. Z. Farag, E. F. El-Saadany and R. Seethapathy, "A Two Ways Communication-Based Distributed Control for Voltage Regulation in Smart Distribution Feeders,"

IEEE Trans. Smart Grid, vol. 3, pp. 271-281, Mar. 2012.

[44] C. M. Hird, H. Leite, N. Jenkins and H. Li, "Network voltage controller for distributed generation," IEE Proc. , Gener. Transm. Distrib., vol. 151, pp. 150-156, Mar. 2004.

[45] M. Hird, N. Jenkins and P. Taylor, "An active 11 kV voltage controller: Practical considerations," in Proc. 17th Int. Conf. on Electricity Distribution, Barcelona, Spain, May 2003.

[46] H. Leite, H. Y. Li, N. Jenkins and P. F. Gale, "Real-time voltage regulation of distribution networks with distributed generation," in Proc. 17th Int. Conf. on Electricity Distribution, Barcelona, Spain, May 2003.

[47] H. Y. Li and H. Leite, "Increasing distributed generation using automatic voltage reference setting technique," in Proc. IEEE Power and Energy Society General Meeting, Pittsburgh, Pennsylvania, USA, July 2008.

[48] R. Caldon, R. Turri, V. Prandoni and S. Spelta, "Control issues in MV distribution systems with large-scale integration of distributed generation," in Proc. Bulk Power System Dynamics and Control - VI, Cortina d’Ampezzo, Italy, Aug. 2004, pp. 583-589.

[49] R. Caldon, S. Spelta, V. Prandoni and R. Turri, "Co-ordinated voltage regulation in distribution networks with embedded generation," in Proc. 18th Int. Conf. on Electricity Distribution, Turin, Italy, June 2005.

[50] F. Bignucolo, R. Caldon and V. Prandoni, "Radial MV networks voltage regulation with distribution management system coordinated controller," Electr. Power Syst.

Res., vol. 78, pp. 634-645, Apr. 2008.

[51] S. Conti and A. M. Greco, "Innovative voltage regulation method for distribution networks with distributed generation," in Proc. 19th Int. Conf. on Electricity Distribution, Vienna, Austria, May 2007.

[52] T. Pfajfar, I. Papic, B. Bletterie and H. Brunner, "Improving power quality with coordinated voltage control in networks with dispersed generation," in Proc. 9th Int.

Conf. on Electrical Power Quality and Utilisation, Barcelona, Spain, Oct. 2007.

[53] F. Kupzog, H. Brunner, W. Pruggler, T. Pfajfar and A. Lugmaier, "DG DemoNet-concept - A new algorithm for active distribution grid operation facilitating high DG penetration," in Proc. 5th IEEE Int. Conf. on Industrial Informatics, Vienna, Austria, June 2007, pp. 1197-1202.

[54] M. Brenna, E. De Berardinis, L. Delli Carpini, F. Foiadelli, P. Paulon, P. Petroni, G.

Sapienza, G. Scrosati and D. Zaninelli, "Automatic Distributed Voltage Control Algorithm in Smart Grids Applications," IEEE Trans. Smart Grid, vol. 4, pp. 877-885, June 2013.

[55] Q. Zhou and J. W. Bialek, "Generation curtailment to manage voltage constraints in distribution networks," IET Gener. Transm. Distrib., vol. 1, pp. 492-498, May 2007.

[56] N. C. Scott, D. J. Atkinson and J. E. Morrell, "Use of load control to regulate voltage on distribution networks with embedded generation," IEEE Trans. Power Syst., vol.

17, pp. 510-515, May 2002.

[57] Xiaohu Liu, A. Aichhorn, Liming Liu and Hui Li, "Coordinated Control of Distributed Energy Storage System With Tap Changer Transformers for Voltage Rise Mitigation Under High Photovoltaic Penetration," IEEE Trans. Smart Grid, vol. 3, pp. 897-906, June 2012.

[58] I. Leisse, O. Samuelsson and J. Svensson, "Electricity meters for coordinated voltage control in medium voltage networks with wind power," in Proc. Innovative Smart Grid Technologies Europe, Gothenburg, Sweden, Oct. 2010.

[59] I. Leisse, O. Samuelsson and J. Svensson, "Coordinated voltage control in distribution systems with DG - control algorithm and case study," in Proc. CIRED Workshop:

Integration of Renewables into the Distribution Grid, Lisbon, Portugal, May 2012.

[60] Tao Xu, P. Taylor, M. Prodanovic, T. Green, E. Davidson and S. McArthur, "Case based reasoning for distributed voltage control," in Proc. 20th Int. Conf. on Electricity Distribution, Prague, Czech Republic, June 2009.

[61] P. C. Taylor, T. Xu, N. S. Wade, M. Prodanovic, R. Silversides, T. Green, E. M.

Davidson and S. McArthur, "Distributed voltage control in AuRA-NMS," in Proc.

Power and Energy Society General Meeting, Minneapolis, Minnesota, USA , July 2010.

[62] A. Shafiu, V. Thornley, N. Jenkins, G. Strbac and A. Maloyd, "Control of active networks," in Proc. 18th Int. Conf. on Electricity Distribution, Turin, Italy, June 2005.

[63] A. Borghetti, M. Bosetti, S. Grillo, S. Massucco, C. A. Nucci, M. Paolone and F.

Silvestro, "Short-Term Scheduling and Control of Active Distribution Systems With High Penetration of Renewable Resources," IEEE Systems Journal, vol. 4, pp. 313-322, Sept. 2010.

[64] F. Pilo, G. Pisano and G. G. Soma, "Optimal Coordination of Energy Resources With a Two-Stage Online Active Management," IEEE Trans. Industrial Electronics, vol.

58, pp. 4526-4537, Oct. 2011.

[65] F. Pilo, G. Pisano and G. G. Soma, "Advanced DMS to manage active distribution networks," in Proc. Power Tech 2009, Bucharest, Romania, July 2009.

[66] Li Yu, D. Czarkowski and F. de Leon, "Optimal Distributed Voltage Regulation for Secondary Networks With DGs," IEEE Trans. Smart Grid, vol. 3, pp. 959-967, June 2012.

[67] Pyeong-Ik Hwang, Seon-Ju Ahn, Yong-Tae Yoon and Seung-Il Moon, "A control method of distributed generators in smart distribution system considering system losses and voltage," in Proc. 21st Int. Conference on Electricity Distribution, Frankfurt, Germany, June 2011.

[68] A. Viehweider, B. Bletterie and D. Burnier de Castro, "Advanced coordinated voltage control strategies for active distribution network operation," in Proc. 20th Int. Conf.

on Electricity Distribution, Prague, Czech Republic, June 2009.

[69] A. Viehweider, H. Schichl, D. Burnier de Castro, S. Henein and D. Schwabeneder,

"Smart robust voltage control for distribution networks using interval arithmetic and state machine concepts," in Proc. Innovative Smart Grid Technologies Europe, Gothenburg, Sweden, Oct. 2010.

[70] M. Stifter, B. Bletterie, H. Brunner, D. Burnier, H. Sawsan, F. Andren, R. Schwalbe, A. Abart, R. Nenning, F. Herb and R. Pointner, "DG DemoNet validation: Voltage control from simulation to field test," in Proc. Innovative Smart Grid Technologies Europe, Manchester, UK, Dec. 2011.

[71] M. Stifter, R. Schwalbe, W. Tremmel, S. Henein, H. Brunner, B. Bletterie, A. Abart, F. Herb and R. Pointner, "DG DemoNet: Experiences from volt/var control field trials

and control algorithm advancements," in Proc. Innovative Smart Grid Technologies Europe, Berlin, Germany, Oct. 2012.

[72] A. Timbus, M. Larsson and C. Yuen, "Active Management of Distributed Energy Resources Using Standardized Communications and Modern Information Technologies," IEEE Trans. Industrial Electronics, vol. 56, pp. 4029-4037, Oct.

2009.

[73] R. Caldon, F. Rossetto and A. Scala, "Reactive power control in distribution networks with dispersed generators: a cost based method," Electr. Power Syst. Res., vol. 64, pp. 209-217, Mar. 2003.

[74] S. Conti and A. M. Greco, "Voltage regulation through optimal reactive power dispatching in active distribution networks," in Proc. 14th IEEE Mediterranean Electrotechnical Conference, Ajaccio, France, May 2008, pp. 792-798.

[75] D. Villacci, G. Bontempi and A. Vaccaro, "An adaptive local learning-based methodology for voltage regulation in distribution networks with dispersed generation," IEEE Trans. Power Syst., vol. 21, pp. 1131-1140, Aug. 2006.

[76] V. Galdi, A. Vaccaro and D. Villacci, "Voltage regulation in MV networks with dispersed generations by a neural-based multiobjective methodology," Electr. Power Syst. Res., vol. 78, pp. 785-793, May 2008.

[77] A. A. Aquino-Lugo, R. Klump and T. J. Overbye, "A Control Framework for the Smart Grid for Voltage Support Using Agent-Based Technologies," IEEE Trans.

Smart Grid, vol. 2, pp. 173-180, Mar. 2011.

[78] O. Richardot, "Coordinated Voltage Control in Distribution Networks Using Distributed Generation," in Proc. IEEE PES Transmission and Distribution Conference and Exhibition, Dallas, Texas, USA, May 2006, pp. 1196-1201.

[79] O. Richardot, Y. Besanger, D. Radu and N. Hadjsaid, "Optimal location of pilot buses by a genetic algorithm approach for a coordinated voltage control in distribution systems," in Proc. Power Tech 2009, Bucharest, Romania, July 2009.

[80] M. Biserica, B. Berseneff, Y. Besanger and C. Kieny, "Upgraded coordinated voltage control for distribution systems," in Proc. Power Tech 2011, Trondheim, Norway, June 2011.

[81] Yujun He, M. Petit and P. Dessante, "Optimization of the steady voltage profile in distribution systems by coordinating the controls of distributed generations," in Proc.

Innovative Smart Grid Technologies ISGT Europe, Berlin, Germany, Oct. 2012.

[82] T. Senjyu, Y. Miyazato, A. Yona, N. Urasaki and T. Funabashi, "Optimal Distribution Voltage Control and Coordination With Distributed Generation," IEEE Trans. Power Del., vol. 23, pp. 1236-1242, Apr. 2008.

[83] N. Nimpitiwan and C. Chaiyabut, "Centralized control of system Voltage/Reactive power using genetic algorithm," in Proc. 14th Int. Conf. on Intelligent Systems Applications to Power Systems, Kaohsiung, Taiwan, Nov. 2007.

[84] S. Toma, T. Senjyu, Y. Miyazato, A. Yona, T. Funabashi, A. Y. Saber and Chul-Hwan Kim, "Optimal coordinated voltage control in distribution system," in Proc.

IEEE Power and Energy Society General Meeting, Pittsburgh, Pennsylvania, USA, July 2008.

[85] T. Niknam, A. M. Ranjbar and A. R. Shirani, "Impact of distributed generation on volt/Var control in distribution networks," in Proc. Power Tech 2003, Bologna, Italy, June 2003.

[86] A. G. Madureira and J. A. Pecas Lopes, "Coordinated voltage support in distribution networks with distributed generation and microgrids," IET Renew. Power Gener., vol. 3, pp. 439-454, Dec. 2009.

[87] A. Madureira, L. Seca and J. P. Lopes, "Coordinated voltage control in distribution systems under the smart grid concept," in Proc. CIRED Workshop: Integration of Renewables into the Distribution Grid, Lisbon, Portugal, May 2012.

[88] K. Diwold, W. Yan, L. De Alvaro Garcia, L. Mocnik and M. Braun, "Coordinated voltage-control in distribution systems under uncertainty," in 47th Int. Universities' Power Engineering Conf. (UPEC), London, UK, Sept. 2012.

[89] A. Seppälä, "Load research and load estimation in electricity distribution," Ph.D.

dissertation, VTT Publications 289, Espoo Finland, 1996.

[90] A. Mutanen, M. Ruska, S. Repo and P. Järventausta, "Customer Classification and Load Profiling Method for Distribution Systems," IEEE Trans. Power Del., vol. 26, pp. 1755-1763, July 2011.

[91] A. Koto, Shengye Lu, T. Valavaara, A. Rautiainen and S. Repo, "Aggregation of small-scale active resources for smart grid management," in Proc. Innovative Smart Grid Technologies Europe, Manchester, UK, Dec. 2011.

[92] S. Repo, D. Della Giustina, G. Ravera, L. Cremaschini, S. Zanini, J. M. Selga and P.

Järventausta, "Use case analysis of real-time low voltage network management," in Proc. Innovative Smart Grid Technologies Europe, Manchester, UK, Dec. 2011.

[93] V. Kumar, I. Gupta, H. O. Gupta and C. P. Agarwal, "Voltage and current sensitivities of radial distribution network: a new approach," IEE Gener. Transm.

Distrib., vol. 152, pp. 813-818, Nov. 2005.

[94] D. K. Khatod, V. Pant and J. Sharma, "A novel approach for sensitivity calculations in the radial distribution system," IEEE Trans. Power Del., vol. 21, pp. 2048-2057, Oct. 2006.

[95] H. M. Ayres, W. Freitas, M. C. De Almeida and L. C. P. Da Silva, "Method for determining the maximum allowable penetration level of distributed generation without steady-state voltage violations," IET Gener. Transm. Distrib., vol. 4, pp.

495-508, Apr. 2010.

[96] Qiong Zhou and Janusz W. Bialek, "Simplified calculation of voltage and loss sensitivity factors in distribution networks," in Proc. 16th Power Systems Computation Conference, Glasgow, Scotland, July 2008.

[97] R. F. Preiss and V. J. Warnock, "Impact of Voltage Reduction on Energy and Demand," IEEE Trans. Power Appar. Syst., vol. PAS-97, pp. 1665-1671, Sept. 1978.

[98] W. Ellens, A. Berry and S. West, "A quantification of the energy savings by conservation voltage reduction," in Proc. IEEE Int. Conf. on Power System Technology, Auckland, New Zealand, Oct.-Nov. 2012.

[99] ABB, "On-load tap-changers, type UBB, Maintenance guide". [Online] Available:

http://www05.abb.com/global/scot/scot252.nsf/veritydisplay/2bdc8f85774d4dbfc125 6ffe004b1fd4/$file/1zse 5492-127 en rev 5.pdf .