A non-iterative and exact linearization load flow technique for circuit contingency effects in power systems

El‐Ela, Adel A. Abou

doi:10.1016/0378-7796(90)90034-z

Cited by 3 publications

(2 citation statements)

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“…As seen in (12), some of the columns of A 0 t represent the same Z or quadratic Z variables. Therefore these columns have to be combined by adding them together.…”

Section: Second Transformation Into Linear Systemmentioning

confidence: 98%

“…There are other methods to solve the state estimation problem [9,10] and the related power flow problem [11,12] in a non-iterative manner by using linearized measurement functions and having some way to compensate for the linearized model. In contrast, the method proposed in this paper is based on the Kipnis-Shamir relinearization technique that is used to solve over-determined systems of polynomial equations [13].…”

Section: Introductionmentioning

confidence: 99%

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Power system state estimation using a direct non-iterative method

Jiang

Chow

Fardanesh

et al. 2015

International Journal of Electrical Power & Energy Systems

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a b s t r a c tThis paper describes a new method for state estimation of a non-linear AC power system in a non-iterative manner. This method is based on the Kipnis-Shamir relinearization technique that is used to solve over-defined sets of polynomial equations. The technique transforms the equations to a higher dimensional linear space which allows the states to be solved in a non-iterative manner. Given accurate measurements, this new state estimation method provides the same results as traditional iterative state estimation methods, and the proposed method does not require an initial guess of system states nor does it have issues with convergence.

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“…As seen in (12), some of the columns of A 0 t represent the same Z or quadratic Z variables. Therefore these columns have to be combined by adding them together.…”

Section: Second Transformation Into Linear Systemmentioning

confidence: 98%