Date Approved


Graduate Degree Type


Degree Name

Engineering (M.S.E.)

Degree Program

School of Engineering

First Advisor

M. M. Azizur Rahman

Second Advisor

Chirag Parikh

Third Advisor

Arjumand Ali


Calculation of Load Flow distribution is an important tool in Electrical Engineering that involves numerical analysis applied to Power Systems. State Estimation techniques have been developed and applied thoroughly mainly in the levels of generation and transmission. Research in the distribution level remains a challenge due to the intrinsic characteristics of the network. Introducing line current measurements in the state estimation process constitutes an additional issue due to distribution networks characteristics. In order to overcome these difficulties, it is necessary to develop mathematical models that simulate the behavior of those networks. The solution of the problem of state estimation by the least squares method, sometimes presents a bad conditioning of the gain matrix. Solving a badly conditioned problem results in a proximity to the singularity of the coefficient matrix. Also, the use of line current measurements in the state estimation process leads to numeric and observability problems in the systems including the cancelation of elements in the jacobian matrix in the plain state, which means that those measures are useless when starting from plain state. Also, the non-linearity of equations causes convergence difficulties in the iterative process.

The proposed work consisted of: (i) developing a state estimator for a determined radial network, (ii) introducing state variables of the developed method, (iii) comparing them with previously published work, (iv) determining the influence of estimating parameters instead of using measured values, and (v) verifying the validity of developed model using PowerWorld simulation software.

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Engineering Commons