A Mathematical Programming Approach for Allocation and Analysis of TCSC in Power Transmission Systems

Authors

Keywords:

Mathematical programming, Reactive power control, Flexible AC transmission systems, Power system control, Optimization

Abstract

In this paper, a mathematical programming approach based on a branch and bound (BB) algorithm is proposed in order to determine the optimal allocation of thyristor-controlled series compensators (TCSC) in electrical power transmission systems, considering line thermal limits. The TCSC modeling is added in the Y-bus matrix, facilitating the computational implementation. BB-Y is the methodology used in this paper aiming to maximize the loading of the system considering a certain quantity of TCSC. In addition, the proposed algorithm is implemented for another test, using a determined number of TCSC, in order to improve the network voltage profile and minimize the total transmission losses. The methodology uses an interior point method to solve the problem relaxed, modeled as a reactive optimal power flow problem. Simulations are performed on the IEEE 118-bus test system, allocating different quantities of TCSC to find the maximum load the system can support. Given a certain number of TCSC, previously defined for a specific load, the TCSC are reallocated considering different objectives. For two TCSC the time for relocation is shorter than 4 seconds. The results also show that from three TCSC onwards, the maximum load increasing is not relevant, being around 0.3%. Therefore, the conclusion is that the algorithm has a low processing time, and conservative solutions allied with the presented methodology can be used in the optimal allocation of TCSC, what the aim is to optimize the systems performance.

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Author Biographies

Jaqueline Santos Pereira, University Federal of ABC

Jacqueline Santos Pereira received the BSc. degree in electrical engineering from UNIFEI (2013), and MSc. from UFABC (2017). She worked at ABB Brazil with Power Quality Solutions, and currently she is an Engineer at Ramboll, in Denmark.

Edmarcio Antonio Belati, University Federal of ABC

Edmarcio Antonio Belati holds a masters degree from UNESP (1998) and a doctorate from USP (2003) in Electrical Engineering. He has experience in using optimization techniques applied to Electric Power Systems. He is currently a professor at UFABC.

Claudionor Francisco do Nascimento, University Federal os São Carlos

Claudionor Francisco do Nascimento received the B.Sc. degree in electrical engineering from UNESP (1992), the M.Sc. and the Ph.D. degrees in electrical engineering from USP, in 2003 and 2007, respectively. He is an Associate Professor at UFSCar.

Paulo Fernando Silva, University Federal os São Carlos

Paulo Fernando Silva was born in 1995 in the city of Sao Carlos, SP, Brazil. He is currently pursuing an academic masters degree in the Postgraduate Program in Electrical Engineering at the Federal University of Sao Carlos (PPGEE/UFSCar).

Priscila Rossoni, Federal University of ABC

Priscila Rossoni has a degree in Computer Engineering from Centro Universitario Fundacao Santo Andre (2013). She has a masters degree in Electrical Engineering from UFABC. She is currently a PhD student in Energy at UFABC.

References

E. Ghahremani e I. Kamwa, “Optimal placement of multiple-type FACTS devices to maximize power system loadability using a generic graphical user interface”, IEEE Trans. Power Syst., vol. 28, no 2, p. 764–778, 2013.

R. N. Diniz Costa Filho e V. L. Paucar, “Robust and Coordinated Tuning of PSS and FACTS-PODs of Interconnected Systems Considering Signal Transmission Delay Using Ant Lion Optimizer”, J. Control. Autom. Electr. Syst., vol. 29, no 5, p. 625–639, 2018.

M. Karami, N. Mariun, e M. Z. A. A. Kadir, “On basic definition of optimal allocation of FACTS devices in power system”, in 2009 IEEE Student Conference on Research and Development (SCOReD), 2009, p. 418–421.

V. Mahajan, “Thyristor Controlled Series Compensator”, in 2006 IEEE International Conference on Industrial Technology, 2006, p. 182–187.

M. Gitizadeh, H. Khalilnezhad, e R. Hedayatzadeh, “TCSC allocation in power systems considering switching loss using MOABC algorithm”, Electr. Eng., vol. 95, no 2, p. 73–85, 2013.

E. C. Baptista, E. A. Belati, e G. R. M. Da Costa, “Logarithmic barrier-augmented Lagrangian function to the optimal power flow problem”, Int. J. Electr. Power Energy Syst., vol. 27, no 7, 2005.

A. L. L. Murari et al., “Study of transmission system with wind power control and Optimal Reactive Power Flow”, Prz. Elektrotechniczny, vol. 90, no 7, 2014.

Z. Yang, H. Zhong, A. Bose, Q. Xia, e C. Kang, “Optimal Power Flow in AC–DC Grids With Discrete Control Devices”, IEEE Trans. Power Syst., vol. 33, no 2, p. 1461–1472, 2018.

M. Khanabadi, H. Ghasemi, e M. Doostizadeh, “Optimal Transmission Switching Considering Voltage Security and N-1 Contingency Analysis”, IEEE Trans. Power Syst., vol. 28, no 1, p. 542–550, 2013.

E. Ghahremani e I. Kamwa, “Optimal placement of multiple-type FACTS devices to maximize power system loadability using a generic graphical user interface”, IEEE Trans. Power Syst., vol. 28, no 2, p. 764–778, 2013.

R. N. Diniz Costa Filho e V. L. Paucar, “Robust and Coordinated Tuning of PSS and FACTS-PODs of Interconnected Systems Considering Signal Transmission Delay Using Ant Lion Optimizer”, J. Control. Autom. Electr. Syst., vol. 29, no 5, p. 625–639, 2018.

M. Karami, N. Mariun, e M. Z. A. A. Kadir, “On basic definition of optimal allocation of FACTS devices in power system”, in 2009 IEEE Student Conference on Research and Development (SCOReD), 2009, p. 418–421.

V. Mahajan, “Thyristor Controlled Series Compensator”, in 2006 IEEE International Conference on Industrial Technology, 2006, p. 182–187.

M. Gitizadeh, H. Khalilnezhad, e R. Hedayatzadeh, “TCSC allocation in power systems considering switching loss using MOABC algorithm”, Electr. Eng., vol. 95, no 2, p. 73–85, 2013.

E. C. Baptista, E. A. Belati, e G. R. M. Da Costa, “Logarithmic barrier-augmented Lagrangian function to the optimal power flow problem”, Int. J. Electr. Power Energy Syst., vol. 27, no 7, 2005.

A. L. L. Murari et al., “Study of transmission system with wind power control and Optimal Reactive Power Flow”, Prz. Elektrotechniczny, vol. 90, no 7, 2014.

Z. Yang, H. Zhong, A. Bose, Q. Xia, e C. Kang, “Optimal Power Flow in AC–DC Grids With Discrete Control Devices”, IEEE Trans. Power Syst., vol. 33, no 2, p. 1461–1472, 2018.

M. Khanabadi, H. Ghasemi, e M. Doostizadeh, “Optimal Transmission Switching Considering Voltage Security and N-1 Contingency Analysis”, IEEE Trans. Power Syst., vol. 28, no 1, p. 542–550, 2013.

B. Sookananta, “Determination of FACTS placement using differential evolution technique”, in 2009 International Conference on Electrical Engineering and Informatics, 2009, vol. 02, p. 672–675.

S. Shojaeian, E. S. Naeeni, M. Dolatshahi, e H. Khani, “A PSO-DP based method to determination of the optimal number, location, and size of FACTS devices in power systems”, Adv. Electr. Comput. Eng., vol. 14, no 1, p. 109–114, 2014.

S. Chansareewittaya e P. Jirapong, “Total transfer capability enhancement with optimal number of FACTS controllers using hybrid TSSA”, in 2012 Proceedings of IEEE Southeastcon, 2012, p. 1–7.

M. Taleb, A. Salem, A. Ayman, e M. A. Azma, “Optimal allocation of TCSC using adaptive cuckoo search algorithm”, in 2016 Eighteenth International Middle East Power Systems Conference (MEPCON), 2016, p. 387–391.

D. Shchetinin e G. Hug, “Optimal TCSC allocation in a power system for risk minimization”, in 2014 North American Power Symposium (NAPS), 2014, p. 1–6.

F. Sayed, S. Kamel, M. A. Taher, e F. Jurado, “Enhancing power system loadability and optimal load shedding based on TCSC allocation using improved moth flame optimization algorithm”, Electr. Eng., 2020.

S. S. Akumalla, S. Peddakotla, e S. R. A. Kuppa, “A Modified Cuckoo Search Algorithm for Improving Voltage Profile and to Diminish Power Losses by Locating Multi-type FACTS Devices”, J. Control. Autom. Electr. Syst., vol. 27, no 1, p. 93–104, 2016.

M. Rambabu, G. V. Nagesh Kumar, e S. Sivanagaraju, “Optimal Power Flow of Integrated Renewable Energy System using a Thyristor Controlled SeriesCompensator and a Grey-Wolf Algorithm”, Energies, vol. 12, no 11, p. 2215, jun. 2019.

D. L. Pravallika e B. V. Rao, “Flower Pollination Algorithm Based Optimal Setting of TCSC to Minimize the Transmission Line Losses in the Power System”, Procedia Comput. Sci., vol. 92, p. 30–35, 2016.

S. Raj e B. Bhattacharyya, “Optimal placement of TCSC and SVC for reactive power planning using Whale optimization algorithm”, Swarm Evol. Comput., vol. 40, p. 131–143, 2018.

S. Dutta, S. Paul, e P. K. Roy, “Optimal allocation of SVC and TCSC using quasi-oppositional chemical reaction optimization for solving multi-objective ORPD problem”, J. Electr. Syst. Inf. Technol., vol. 5, no 1, p. 83–98, 2018.

M. K. Mohamad Zamani et al., “Optimal TCSC Allocation via Chaotic Immune Symbiotic Organisms Search for Voltage Profile Improvement”, E3S Web Conf., vol. 152, 2020.

O. Ziaee e F. F. Choobineh, “Optimal Location-Allocation of TCSC Devices on a Transmission Network”, IEEE Trans. Power Syst., vol. 32, no 1, p. 94–102, 2017.

G. Y. Yang, G. Hovland, R. Majumder, e Z. Y. Dong, “TCSC Allocation Based on Line Flow Based Equations Via Mixed-Integer Programming”, IEEE Trans. Power Syst., vol. 22, no 4, p. 2262–2269, 2007.

R. M. Mathur e R. K. Varma, “Index”, in Thyristor-Based FACTS Controllers for Electrical Transmission Systems, IEEE, 2002, p. 493–495.

E. Acha, C. R. Fuerte-Esquivel, H. Ambriz-Pérez, e C. Angeles-Camacho, FACTS: Modelling and Simulation in Power Networks. Wiley, 2004.

H. W. Dommel e W. F. Tinney, “Optimal Power Flow Solutions”, IEEE Trans. Power Appar. Syst., vol. PAS-87, no 10, p. 1866–1876, 1968.

L. J. Cai, I. Erlich, e G. Stamtsis, “Optimal choice and allocation of FACTS devices in deregulated electricity market using genetic algorithms”, in IEEE PES Power Systems Conference and Exposition, 2004., 2004, p. 201–207 vol.1.

L. S. de Oliveira e S. F. P. Saramago, “Multiobjective optimization techniques applied to engineering problems”, J. Brazilian Soc. Mech. Sci. Eng., vol. 32, no 1, p. 94–105, mar. 2010.

G. C. Ejebe, J. Tong, J. G. Waight, J. G. Frame, X. Wang, e W. F. Tinney, “Available transfer capability calculations”, IEEE Trans. Power Syst., vol. 13, no 4, p. 1521–1527, 1998.

and B. W. K. Robert Fourer, David M. Gay, AMPL: A Modeling Language for Mathematical Programming. THOMSON, 2003.

R. H. Byrd, J. Nocedal, e R. A. Waltz, “Knitro: An Integrated Package for Nonlinear Optimization BT - Large-Scale Nonlinear Optimization”, G. Di Pillo e M. Roma, Orgs. Boston, MA: Springer US, 2006, p. 35–59.

“User guide — Artelys Knitro 12.3 User’s Manual”. .

V. A. De Sousa, E. C. Baptista, e G. R. M. Da Costa, “Optimal reactive power flow via the modified barrier Lagrangian function approach”, Electr. Power Syst. Res., vol. 84, no 1, p. 159–164, 2012.

A. H. Land e A. G. Doig, “An automatic method of solving discrete programming problems”, Econometrica, vol. 28, no 3, p. 497, 1960.

D. T. Phan, “Lagrangian Duality and Branch-and-Bound Algorithms for Optimal Power Flow”, Oper. Res., vol. 60, no 2, p. 275–285, abr. 2012.

D. R. Morrison, S. H. Jacobson, J. J. Sauppe, e E. C. Sewell, “Branch-and-bound algorithms: A survey of recent advances in searching, branching, and pruning”, Discret. Optim., vol. 19, no 3, p. 79–102, 2016.

M. Benichou, J. Gauthier, P. Girodet, G. Hentges, G. Ribière, e O. Vincent, “Experiments in mixed-integer linear programming”, Math. Program., vol. 1, no 1, p. 76–94, 1971.

T. Achterberg, T. Koch, e A. Martin, “Branching rules revisited”, Oper. Res. Lett., vol. 33, no 1, p. 42–54, 2005.

R. Christie, “118 Bus Power Flow Test Case”, 1993.

“JEAS”, 2021. .

E. A. Belati, C. F. Nascimento, A. B. Dietrich, e H. De Faria Jr., “Sensitivity analysis applied to nodal technical losses evaluation in power transmission systems”, Int. Trans. Electr. Energy Syst., vol. 24, no 2, 2014.

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Published

2022-05-11

How to Cite

Pereira, J. S., Belati, E. A., do Nascimento, C. F., Silva, P. F., & Rossoni, P. (2022). A Mathematical Programming Approach for Allocation and Analysis of TCSC in Power Transmission Systems. IEEE Latin America Transactions, 20(7), 2001–2009. Retrieved from https://latamt.ieeer9.org/index.php/transactions/article/view/6289

Issue

Vol. 20 No. 7 (2022): Ordinary Issue

Section

Electric Energy