Geodesic
A model of power shortage evaluation of electric power systems with quadratic losses of power in power lines
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 3, pp. 285-295 
V. I. Zorkaltsev; L. M. Lebedeva; S. M. Perzhabinsky. A model of power shortage evaluation of electric power systems with quadratic losses of power in power lines. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 13 (2010) no. 3, pp. 285-295. http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a3/
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     author = {V. I. Zorkaltsev and L. M. Lebedeva and S. M. Perzhabinsky},
     title = {A model of power shortage evaluation of electric power systems with quadratic losses of power in power lines},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2010_13_3_a3/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

A model of power shortage evaluation of electric power systems with quadratic losses of power in power lines is studied. This model is intended for the analysis of reliability problems of electric power systems. The way of presentation of this model in the form of a convex problem is shown. The interior point algorithm is proposed for the model realization. This algorithm takes into account the quadratic approximations of constraints functions. The results of the experimental study are presented.

[1] Rudenko Yu. N., Cheltsov M. B., Nadezhnost i rezervirovanie v elektroenergeticheskikh sistemakh, Nauka, Novosibirsk, 1974

[2] Zorkaltsev V. I., Kovalev G. F., Lebedeva L. M., Modeli otsenki defitsita moschnosti elektroenergeticheskikh sistem, Preprint No 9, ISEM Sib. otd-nie RAN, Irkutsk, 2001

[3] Dikin I. I., Zorkaltsev V. I., Iterativnoe reshenie zadach matematicheskogo programmirovaniya: algoritmy metoda vnutrennikh tochek, Nauka, Sib. otd-nie, Novosibirsk, 1980 | MR | Zbl

[4] Chukreev Yu. Ya., Modeli obespecheniya nadezhnosti elektroenergeticheskikh sistem, Komi NTs UrO RAN, Syktyvkar, 1995

[5] Pshenichnyi B. N., Metod linearizatsii, Nauka, Moskva, 1983 | MR

[6] Perzhabinskii S. M., “Algoritm vnutrennikh tochek, ispolzuyuschii kvadratichnye approksimatsii”, Sovremennye tekhnologii. Sistemnyi analiz. Modelirovanie, 3, Irkutskii gosudarstvennyi universitet putei soobscheniya, Irkutsk, 2008, 97–101

[7] Kovalev G. F., Lebedeva L. M., Kompleks modelei optimizatsii rezhimov raschetnykh sostoyanii pri otsenke nadezhnosti elektroenergeticheskikh sistem, Preprint No 7, ISEM Sib. otd-nie RAN, Irkutsk, 2000