Abstract
This paper proposes a simplified mathematical model to predict the impact of connection of Distributed Generators (DGs) to the ac grid. The model allows the user to examine the fluctuations in the magnitude of voltages at different nodes in the distribution system. In order to use the model, the user does not require a commercial simulation software making it a handy tool for a practicing engineer. Analysis has been presented to describe how the detailed mathematical model of the system is reduced using elementary matrix manipulation techniques to obtain the final simplified mathematical model. Simulation results are presented to verify the mathematical model with a ring distribution system with three DGs connected to it and the results validate those attained from the mathematical model.
Correction Note
Correction added after online publication: November 11, 2015. The first name of Birendra Singh was misspelled as Brijendra. For the reader’s convenience, it has been corrected in the author line and in the author’s information.
References
1. Ackermann T, Andersson G, Soder L. Distributed generation: a definition. Electr Power Syst Res April 2001;57:195–204.10.1016/S0378-7796(01)00101-8Search in Google Scholar
2. Blaabjerg F, Teodorescu R, Liserre M, Timbus AV. Overview of control and grid synchronization for distributed power generation systems. IEEE Trans Ind Electron October 2006;53:1398–409.10.1109/TIE.2006.881997Search in Google Scholar
3. Tsili M, Papathanassiou S. A review of grid code technical requirements for wind farms. IET Renewable Power Gener September 2009;3:308–32.10.1049/iet-rpg.2008.0070Search in Google Scholar
4. Bracale A, Caramia P, Carpinelli G, Russo A, Verde P. Site and system indices for power-quality characterization of distribution networks with distributed generation. IEEE Trans Power Delivery July 2011;26:1304–16.10.1109/TPWRD.2011.2112381Search in Google Scholar
5. Chen Z, Spooner E. Grid power quality with variable speed wind turbines. IEEE Trans Energy Convers June 2001;16:148–54.10.1109/60.921466Search in Google Scholar
6. Smith J, Brooks D. Voltage impacts of distributed wind generation on rural feeders. IEEE PES Transm Distrib Conf Exposition October/November 2001;1:492–7.10.1109/TDC.2001.971283Search in Google Scholar
7. Sao T, Chen Z, Blaabjerg F. Flicker study on variable speed wind turbines with doubly fed induction generators. IEEE Trans Energy Convers December 2005;20:896–905.10.1109/TEC.2005.847993Search in Google Scholar
8. Woyte A, Thong V, Belmans R, Nijs J. Voltage fluctuation on distribution level introduced by photovoltaic systems. IEEE Trans Energy Convers March 2006;21:202–9.10.1109/TEC.2005.845454Search in Google Scholar
9. Chompoo-inwai C, Lee W-J, Fuangfoo P, Williams M, Liao JR. System impact study for the interconnection of wind generation and utility system. IEEE Trans Ind Appl January/February 2005;41:163–8.10.1109/TIA.2004.841032Search in Google Scholar
10. Zhou F, Jos G, Abbey C. Voltage stability in weak connection wind farms, in IEEE Power Engineering Society General Meeting 2005, vol. 2, June 2005, pp. 1483–1488.Search in Google Scholar
11. Tande J, Uhlen K. Wind turbines in weak grids – constraints and solutions, in 16th International Conference and Exhibition Electricity Distribution, vol. 4, June 2001, pp. 1–5.10.1049/cp:20010842Search in Google Scholar
12. Palsson MP, Toftevaag T, Uhlen K, Tande JOG. Large-scale wind power integration and voltage stability limits in regional networks, in IEEE Power Engineering Society Summer Meeting, vol. 2, July 2002, pp. 762–769.Search in Google Scholar
13. Vittal E, Malley MO, Keane A. A steady-state voltage stability analysis of power systems with high penetrations of wind. IEEE Trans Power Syst February 2010;25:433–42.10.1109/PES.2010.5588129Search in Google Scholar
14. Keane A, Ochoa LF, Vittal E, Dent CJ, Harrison GP. Enhanced utilization of voltage control resources with distributed generation. IEEE Trans Power Syst February 2011;26:252–60.10.1109/PES.2011.6039085Search in Google Scholar
15. Tapia A, Tapia G, Ostolaza J. Reactive power control of windfarms for voltage control applications. Renwable Energy March 2004;29:377–92.10.1016/S0960-1481(03)00224-6Search in Google Scholar
16. Kayicki M, Milanovic JV. Reactive power control strategies for DFIG – based plants. IEEE Trans Energy Convers June 2007;22:389–96.10.1109/TEC.2006.874215Search in Google Scholar
17. Renders B, Gusseme KD, Ryckaert WR, Stockman K, Vandevelde L, Bollen MHJ. Distributed generation for mitigating voltage dips in low-voltage distribution grids. IEEE Trans Power Delivery July 2008;23:1581–8.10.1109/TPWRD.2007.916162Search in Google Scholar
18. Han C, Huang AQ, Baran ME, Bhattacharya S, Litzenberger W, Loren Anderson ALJ, et al. Statcom impact study on the integration of a large wind farm into a weak loop power system. IEEE Trans Energy Convers March 2008;23:226–33.10.1109/TEC.2006.888031Search in Google Scholar
19. Liew S, Strbac G. Maximising penetration of wind generation in existing distribution networks. IEE Proc Gener Transm Distrib May 2002;149:256–62.10.1049/ip-gtd:20020218Search in Google Scholar
20. Bhowmik A, Maitra A, Halpin SM, Schatz JE. Determination of allowable penetration levels of distributed generation resources based on harmonic limit considerations. IEEE Trans Power Delivery April 2003;18:619–24.10.1109/TPWRD.2003.810494Search in Google Scholar
21. Martinez JA, Martin-Arnedo J. Tools for analysis and design of distributed resources-Part I: Tools for feasibility studies. IEEE Trans Power Delivery July 2011;26:1643–52.10.1109/TPWRD.2011.2116045Search in Google Scholar
22. Martinez JA, de Leon F, Mehrizi-Sani A, Nehrir MH, Wang C, Dinavahi V. Tools for analysis and design of distributed resources-Part II: Tools for planning, analysis and design of distribution networks with distributed resources. IEEE Trans Power Delivery July 2011;26:1653–62.10.1109/TPWRD.2011.2116046Search in Google Scholar
23. Martinez JA, Dinavahi V, Nehrir MH, Guillaud X. Tools for analysis and design of distributed resources-Part IV: Future trends. IEEE Trans Power Delivery July 2011;26:1671–80.10.1109/TPWRD.2011.2116047Search in Google Scholar
24. Iyer S, Belur M, Chandorkar M. A generalized computational method to determine stability of a multi-inverter microgrid. IEEE Trans Power Electron September 2010;25:2420–32.10.1109/TPEL.2010.2048720Search in Google Scholar
©2015 by De Gruyter
Articles in the same Issue
- Frontmatter
- Research Articles
- Association Analysis of System Failure in Wide Area Backup Protection System
- Interdependency Assessment of Coupled Natural Gas and Power Systems in Energy Market
- Determination of the Prosumer’s Optimal Bids
- A Mathematical Model to Predict Voltage Fluctuations in a Distribution System with Renewable Energy Sources
- The Effect of Plug-in Electric Vehicles on Harmonic Analysis of Smart Grid
- A Computational Methodology to Support Reimbursement Requests Analysis Concerning Electrical Damages
- Optimal Scheduling Method of Controllable Loads in DC Smart Apartment Building
- Risky Group Decision-Making Method for Distribution Grid Planning
Articles in the same Issue
- Frontmatter
- Research Articles
- Association Analysis of System Failure in Wide Area Backup Protection System
- Interdependency Assessment of Coupled Natural Gas and Power Systems in Energy Market
- Determination of the Prosumer’s Optimal Bids
- A Mathematical Model to Predict Voltage Fluctuations in a Distribution System with Renewable Energy Sources
- The Effect of Plug-in Electric Vehicles on Harmonic Analysis of Smart Grid
- A Computational Methodology to Support Reimbursement Requests Analysis Concerning Electrical Damages
- Optimal Scheduling Method of Controllable Loads in DC Smart Apartment Building
- Risky Group Decision-Making Method for Distribution Grid Planning