2018
DOI: 10.1002/etep.2784
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Development of different load flow methods for solving large‐scale ill‐conditioned systems

Abstract: Summary In this paper, several methods are proposed to find the load flow (LF) solution of large‐scale ill‐conditioned systems. These methods are based on the Adams‐Bashforth formulation. With the use of the proposed methods, the convergence problems of the most popular LF methods are addressed especially when the flat initial guess point is considered. The proposed methods are validated using three ill‐conditioned systems: the modified IEEE 300‐bus system, the 3375‐bus Polish system, and a 13 659‐bus portion … Show more

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Cited by 18 publications
(16 citation statements)
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“…This way, multiple works have been recently conducted on developing efficient and robust techniques that could satisfactory addressed both well and ill-conditioned cases. The application of the Continuous Newton's method for PF analysis [10,[17][18][19] suppose a clear example of this trend. The Continuous Newton's method establishes a formal analogy between NR and Euler's techniques by which any other numerical integration method (e.g., the Runge-Kutta formulas [18]) could be applied for developing robust and efficient PF solvers.…”
Section: Literature Reviewmentioning
confidence: 99%
“…This way, multiple works have been recently conducted on developing efficient and robust techniques that could satisfactory addressed both well and ill-conditioned cases. The application of the Continuous Newton's method for PF analysis [10,[17][18][19] suppose a clear example of this trend. The Continuous Newton's method establishes a formal analogy between NR and Euler's techniques by which any other numerical integration method (e.g., the Runge-Kutta formulas [18]) could be applied for developing robust and efficient PF solvers.…”
Section: Literature Reviewmentioning
confidence: 99%
“…A solver based on the 4 th order Runge-Kutta formula was developed in this same reference, which was demonstrated to be more competitive than the optimal multiplier method in [16]. The Continuous Newton's philosophy has been exploited for developing a variety of robust solvers based on different Adams-Bashforth methods [26], Bulirsch-Stoer algorithm [27] and Runge-Kutta formulas [28]. As justified in [7], only the explicit formulation of the Continuous Newton's method is attractive for power flow analysis, due to the implicit formulation would require the factorization of the Hessian matrix.…”
Section: B Literature Reviewmentioning
confidence: 99%
“…In this paper, this parameter is updated at each iteration: α)(k=gbold-italicxk1,thinmathspace3. On the basis of our personal experience, HLM achieves its optimal performance using this adaptive mechanism. PF solution technique based on the second‐order Adams–Bashforth's method (AB2) [20]. PF solution methods based on the MP, accelerated third‐order RK technique (ARK3) and fourth‐order RK formula (RK4) [22].…”
Section: Tests and Resultsmentioning
confidence: 99%