New analytical solution for solving the point reactor kinetics equations with multi-group of delayed neutrons is presented. This solution is based on the roots of inhour equation, eigenvalues of the coefficient matrix. The inhour equation presents in new sample formula. The analytical solution represents the exact analytical solution for the point kinetics equations of multi-group of delayed neutrons with constant reactivity. Also, it represents the accurate solution for solving the point kinetics equations of multi-group of delayed neutrons with ramp and temperature feedback reactivities. This method are applied to different types of reactivity and compared to the traditional methods. (C) 2010 Elsevier B.V. All rights reserved.
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Purdue Univ, Sch Nucl Engn, W Lafayette, IN 47906 USA
Argonne Natl Lab, Nucl Sci & Engn Div, Argonne, IL 60439 USAPurdue Univ, Sch Nucl Engn, W Lafayette, IN 47906 USA
Prantikos, Konstantinos
Tsoukalas, Lefteri H.
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Purdue Univ, Sch Nucl Engn, W Lafayette, IN 47906 USAPurdue Univ, Sch Nucl Engn, W Lafayette, IN 47906 USA
Tsoukalas, Lefteri H.
Heifetz, Alexander
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Argonne Natl Lab, Nucl Sci & Engn Div, Argonne, IL 60439 USAPurdue Univ, Sch Nucl Engn, W Lafayette, IN 47906 USA
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Department of Mathematics, KIIT University, Bhubaneswar, Odisha,751024, IndiaDepartment of Mathematics, KIIT University, Bhubaneswar, Odisha,751024, India
Patra, A.
Ray, S. Saha
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Department of Mathematics, National Institute of Technology, Rourkela, Odisha,769008, IndiaDepartment of Mathematics, KIIT University, Bhubaneswar, Odisha,751024, India
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Department of Mathematics, National Institute of Technology, Rourkela-769008, IndiaDepartment of Mathematics, National Institute of Technology, Rourkela-769008, India
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Univ Autonoma Metropolitana Iztapalapa, Area Ingn Recursos Energet, Mexico City 09340, DF, MexicoUniv Autonoma Metropolitana Iztapalapa, Area Ingn Recursos Energet, Mexico City 09340, DF, Mexico
Espinosa-Paredes, Gilberto
Polo-Labarrios, Marco-A.
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Univ Autonoma Metropolitana Iztapalapa, Area Ingn Recursos Energet, Mexico City 09340, DF, MexicoUniv Autonoma Metropolitana Iztapalapa, Area Ingn Recursos Energet, Mexico City 09340, DF, Mexico
Polo-Labarrios, Marco-A.
Espinosa-Martinez, Erick-G.
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机构:Univ Autonoma Metropolitana Iztapalapa, Area Ingn Recursos Energet, Mexico City 09340, DF, Mexico
Espinosa-Martinez, Erick-G.
del Valle-Gallegos, Edmundo
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Inst Politecn Nacl, Escuela Super Fis & Matemat, Mexico City 07738, DF, MexicoUniv Autonoma Metropolitana Iztapalapa, Area Ingn Recursos Energet, Mexico City 09340, DF, Mexico
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Univ Fed Rio Grande do Sul, Ave Osvaldo Aranha 99, BR-90046900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Ave Osvaldo Aranha 99, BR-90046900 Porto Alegre, RS, Brazil
Wollmann da Silva, M.
Vasques, R.
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Univ Calif Berkeley, Dept Nucl Engn, 4155 Etcheverry Hall, Berkeley, CA 94720 USAUniv Fed Rio Grande do Sul, Ave Osvaldo Aranha 99, BR-90046900 Porto Alegre, RS, Brazil
Vasques, R.
Bodmann, B. E. J.
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Univ Fed Rio Grande do Sul, Ave Osvaldo Aranha 99, BR-90046900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Ave Osvaldo Aranha 99, BR-90046900 Porto Alegre, RS, Brazil
Bodmann, B. E. J.
Vilhena, M. T.
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Univ Fed Rio Grande do Sul, Ave Osvaldo Aranha 99, BR-90046900 Porto Alegre, RS, BrazilUniv Fed Rio Grande do Sul, Ave Osvaldo Aranha 99, BR-90046900 Porto Alegre, RS, Brazil