Interval arithmetic in power flow analysis
The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval arithmetic which takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the p...
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| Published in | IEEE transactions on power systems Vol. 7; no. 3; pp. 1341 - 1349 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
IEEE
01.08.1992
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| Subjects | |
| Online Access | Get full text |
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| Abstract | The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval arithmetic which takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the problem: all possible solutions are included within the bounds given by interval arithmetic. Results are compared with those obtainable by Monte Carlo simulations and by the use of stochastic power flows. Object-oriented programming techniques make it possible to use interval arithmetic with minimal modifications to existing software. However, to reduce the conservatism inherent in all interval arithmetic computations, an iterative method used to obtain the hull of the solution set is described.< > |
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| AbstractList | The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval arithmetic. Interval arithmetic takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the problem: all possible solutions are included within the bounds given by interval arithmetic. Results are compared with those obtainable by Monte Carlo simulations and by the use of stochastic power flows. Object-oriented programming techniques make it possible to use interval arithmetic with minimal modifications to existing software. However, to reduce the conservatism inherent in all interval arithmetic computations, an iterative method used to obtain the hull of the solution set is described. The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval arithmetic which takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the problem: all possible solutions are included within the bounds given by interval arithmetic. Results are compared with those obtainable by Monte Carlo simulations and by the use of stochastic power flows. Object-oriented programming techniques make it possible to use interval arithmetic with minimal modifications to existing software. However, to reduce the conservatism inherent in all interval arithmetic computations, an iterative method used to obtain the hull of the solution set is described The power flow is the fundamental tool for the study of power systems. The data for this problem are subject to uncertainty. This paper uses interval arithmetic to solve the power flow problem. Interval arithmetic takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solution to the problem: all possible solutions are included within the bounds given by interval arithmetic. Results are compared with those obtainable by Monte Carlo simulations and by the use of stochastic power flows. The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval arithmetic which takes into consideration the uncertainty of the nodal information, and is able to provide strict bounds for the solutions to the problem: all possible solutions are included within the bounds given by interval arithmetic. Results are compared with those obtainable by Monte Carlo simulations and by the use of stochastic power flows. Object-oriented programming techniques make it possible to use interval arithmetic with minimal modifications to existing software. However, to reduce the conservatism inherent in all interval arithmetic computations, an iterative method used to obtain the hull of the solution set is described.< > |
| Author | Wang, Z. Alvarado, F.L. |
| Author_xml | – sequence: 1 givenname: Z. surname: Wang fullname: Wang, Z. organization: Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA – sequence: 2 givenname: F.L. surname: Alvarado fullname: Alvarado, F.L. organization: Dept. of Electr. & Comput. Eng., Wisconsin Univ., Madison, WI, USA |
| BackLink | https://www.osti.gov/biblio/7102375$$D View this record in Osti.gov |
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| References | ref13 miranda (ref3s) 1989; 6 ref1s miranda (ref5s) 1990 ref11 miranda (ref6s) 0 allan (ref2) 1981; 128 ref1 ris (ref15) 1972 moore (ref14) 1966 leite da silva (ref12) 1984; 1 ref8 cooper (ref7) 1971 ref9 ref4 ref6 miranda (ref2s) 1989 ref5 krawczyk (ref10) 1969; 4 alvarado (ref3) 1989 miranda (ref4s) 1990 miranda (ref7s) 1991 |
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| Snippet | The authors describe a method for taking uncertainty into account during power flow solutions with uncertain input data. The method is based on interval... The power flow is the fundamental tool for the study of power systems. The data for this problem are subject to uncertainty. This paper uses interval... |
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| SubjectTerms | 240100 - Power Systems- (1990-) 990200 - Mathematics & Computers Arithmetic COMPUTER CODES DATA GENERAL AND MISCELLANEOUS//MATHEMATICS, COMPUTING, AND INFORMATION SCIENCE INFORMATION ITERATIVE METHODS Load flow Load flow analysis MATHEMATICS MODIFICATIONS Monte Carlo methods Nonlinear equations NONLINEAR PROBLEMS Object oriented modeling Power system modeling POWER SYSTEMS POWER TRANSMISSION AND DISTRIBUTION Probability distribution Stochastic processes Uncertainty UNCERTAINTY PRINCIPLE |
| Title | Interval arithmetic in power flow analysis |
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