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- Title
TRIANGULAR AND TRAPEZOIDAL FUZZY STATE ESTIMATION WITH UNCERTAINTY ON MEASUREMENTS.
- Authors
SARCHESHMAH, Mohammad SADEGHI; SEIFI, Ali Reza
- Abstract
In this paper, a fuzzy state estimation(FSE) model is employed, which is based on constrained linear programming (LP) optimization, for modelling uncertainty in power system state estimation. The estimation process is based on uncertainty measurements. The uncertain measurements are expressed as fuzzy numbers with a triangular and trapezoidal membership function that has middle and spread value reflected on the estimated states. The proposed fuzzy model is formulated as a linear optimization problem, where the objective is to minimize the sum of the spread of the states, subject to double inequality constraints on each measurement. Linear programming technique is employed to obtain the middle and the asymmetric spread for every state variable. The estimated middle corresponds to the value of the estimated state, while the asymmetric spreads represent the tightest uncertainty interval around that estimated states. The proposed formulation has been applied to various test systems such as, 6-bus, IEEE 14-bus and IEEE30-bus.
- Subjects
FUZZY systems; LINEAR programming; MATHEMATICAL optimization; QUADRATIC programming; STATE estimation in electric power systems
- Publication
Advances in Electrical & Electronic Engineering, 2012, Vol 10, Issue 3, p136
- ISSN
1336-1376
- Publication type
Article
- DOI
10.15598/aeee.v10i3.686