Stochastic optimization of power line design

During the recent years, power industries have been facing significant changes due to deregulation and liberalization of the energy markets and increase of the installed capacity of renewable energy sources. These factors directly affect the transmission network planning (TNP) task and inspire a search for new, more adequate methods. This paper compares a deterministic method - the economic intervals (EI) method - and the stochastic approach based (SAB) method. Both methods are used for designing the overhead power line (OHPL), choosing the optimum conductor type and cross-section as well as other main line parameters such as the height, type and coordinates of towers, the line route, the line fittings, etc. Moreover, the paper presents a new approach for implementing a stochastic optimization procedure with a statistical representation of the electricity prices, ambient temperature and load currents in the transmission network. The problem is formulated as minimization of the total annual costs for the transmission line (TL) construction project. The tool is implemented in MATLAB software by using the Monte Carlo (MC) method as well as in OHPL designing software - PLSCADD.

[1]  Mohammad R. Hesamzadeh Transmission Grid Planning in Modern Electricity Markets , 2013 .

[2]  Chao-Shun Chen,et al.  Stochastic load flow analysis by considering temperature sensitivity of customer power consumption , 2003, 2003 IEEE Bologna Power Tech Conference Proceedings,.

[3]  Granino A. Korn,et al.  Mathematical handbook for scientists and engineers , 1961 .

[4]  Ronald L. Wasserstein,et al.  Monte Carlo: Concepts, Algorithms, and Applications , 1997 .

[5]  Friedrich Kiessling Overhead Power Lines: Planning, Design, Construction , 2003 .

[6]  Lubov Petrichenko,et al.  The stochastic approach for conductor selection in transmission line development projects , 2014, 2014 IEEE International Energy Conference (ENERGYCON).

[7]  Viktoria Neimane,et al.  On Development Planning of Electricity Distribution Networks , 2001 .

[8]  M. Shahidehpour,et al.  Market based transmission planning under uncertainties , 2005, 2004 International Conference on Probabilistic Methods Applied to Power Systems.

[9]  Felix F. Wu,et al.  A kernel-oriented algorithm for transmission expansion planning , 2000 .

[10]  T. S. Kishore,et al.  Optimal economic planning of power transmission lines: A review , 2014 .

[11]  Zuyi Li,et al.  Market Operations in Electric Power Systems : Forecasting, Scheduling, and Risk Management , 2002 .

[12]  Cleve Moler,et al.  Mathematical Handbook for Scientists and Engineers , 1961 .

[13]  S. Guseva,et al.  Choice of the Optimum Cross-Sections for 20–110–330 kV Overhead Lines Under Market Conditions / 20–110–330 Kv Gaisvadu Līniju Optimālo Šķērsgriezumu Izvēle Tirgus Apstākļos , 2012 .

[14]  Ignacio J. Pérez-Arriaga,et al.  CHOPIN, a heuristic model for long term transmission expansion planning , 1994 .

[15]  Rahmat-Allah Hooshmand,et al.  Comprehensive review of generation and transmission expansion planning , 2013 .

[16]  G. Latorre,et al.  Classification of publications and models on transmission expansion planning , 2003 .

[17]  Ahmed H. El-Abiad,et al.  Transmission Planning Using Discrete Dynamic Optimizing , 1973 .

[18]  Ian S. Grant,et al.  Transmission Line Optimization , 1987, IEEE Transactions on Power Delivery.

[19]  A. Sauhats,et al.  The technical and economic efficiency of using conductors with composite core in the transmission grid , 2012, 2012 9th International Conference on the European Energy Market.

[20]  Mohd Ruddin Ab Ghani,et al.  Economical optimization of conductor selection in planning radial distribution networks , 1999, 1999 IEEE Transmission and Distribution Conference (Cat. No. 99CH36333).