An efficient geometric parameterization technique for the continuation power flow

Geometric Parameterization Technique for Continuation Power Flow Based on Quadratic Curve

“…(2) in MLP, and therefore its value cannot be determined precisely. In order to overcome the numerical difficulties resulting from the J singularity and allow the determination of the MLP, different implementations of the continuation method were proposed [2]- [6]. In the CPF, λ is considered as a dependent variable, and then changed automatically.…”

“…The parameterization not only provides a way to identify each solution along the solution trajectory to be obtained but also removes the matrix singularity at the MLP. In the context of tracing P-V curve, adding parameterizing equations has become a standard procedure used by practically almost all continuation methods to overcome the aforementioned numerical difficulties and to make possible an accurate determination of MLP [2]- [6]. Therefore, the goal is to remove the singularity of J through the addition, by means of an equation, of the information lost with the reduction of the rank of the matrix at MLP.…”

“…A trivial predictor with a fixed increment in the parameter α can be adopted. The CPF presented in [6], that uses a line equation passing through a chosen point (λ 0 ; Pa 0 ) in the plane determined by the total real power losses (Pa) and loading factor (λ), is a global parameterization technique. The technique that use the arc length [3] and those presented in [4]- [6], [8], [11] are other examples of the global parameterization techniques.…”

“…The CPF presented in [6], that uses a line equation passing through a chosen point (λ 0 ; Pa 0 ) in the plane determined by the total real power losses (Pa) and loading factor (λ), is a global parameterization technique. The technique that use the arc length [3] and those presented in [4]- [6], [8], [11] are other examples of the global parameterization techniques. In the method presented in [6], unlike that proposed in [2], there is no need to change the parameters throughout the P-V curve tracing.…”

A novel bus-type extended Continuation Power Flow considering remote voltage control

“…Therefore, voltage stability problems attract more and more scholars and engineers' attention. After long term research for the analysis tools of voltage stability [1][2][3][4][5][6][7][8][9][10][11][12][13], the continuation power flow (CPF) has been widely used and developed due to its availability of the model and robustness of the algorithm. 1 In conventional model of CPF, the bus types include PQ buses, PV buses and Vθ bus.…”