Improved Newton's Load Flow Through a Minimization Technique

Sasson, Albert; Trevino, Carlos; Aboytes, F.

doi:10.1109/tpas.1971.292992

Cited by 57 publications

(12 citation statements)

References 14 publications

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“…Despite of that, NR method is only widely accepted in industry when sparsity technique was introduced in 1960s to solve a large scale matrix with high number of zero values [1,4]. This technique managed to overcome computer memory size, which is low at that at time [31].…”

Section: Conventional Load Flow Methodsmentioning

confidence: 99%

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Shahriari¹,

Mokhlis²,

Bakar³

2012

Journal of Electrical Engineering

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This paper presents a critical review of Load flow methods in well, ill and unsolvable conditioned systems. The comparison studies deals with multiple load flow solution (MLFS), second-order load-flow (SOLF) and continuation load flow (CLF). The ability of theses method to return from unsolvable solution to a solvable solution in load flow analysis is analyzed and discuss thoroughly. Special attention is given to the problems and techniques to provide optimal recommendations of the parameters that are used in these load flow methods. A part of the reviews, this paper also presents the comparison of numerical result using different type of aforesaid load flow methods for well and ill-conditioned systems.K e y w o r d s: second-order load-flow, multiple load flow solution, continuation load flow, ill-conditioned system, unsolvable condition

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Section: Conventional Load Flow Methodsmentioning

confidence: 99%

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Shahriari¹,

Mokhlis²,

Bakar³

2012

Journal of Electrical Engineering

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“…when many generators switch under reactive power limit). To avoid these drawbacks as well as to enable the rank of scenarios which have no power flow solution the PFOM 10 approach [23] is used.…”

Section: Oc⋆ Gmentioning

confidence: 99%

Assessing Reactive Power Reserves With Respect to Operating Constraints and Voltage Stability

Capitanescu

2011

IEEE Trans. Power Syst.

110

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Abstract-This paper proposes a two-step approach to evaluate reactive power reserves with respect to operating constraints and voltage stability for a set of postulated operating scenarios. The first step determines the minimum overall needed reactive power reserves of generators such that the system withstands, from a static viewpoint, any postulated scenario. This problem is formulated as a security constrained optimal power flow (SCOPF) which includes operating constraints relative to all postulated scenarios. Particular attention is paid to the techniques aimed to reduce the large size of the SCOPF problem. The second step determines additional reserves to ensure voltage stability of scenarios for which, when modeling dynamic system behaviour, the reserves obtained by SCOPF are insufficient. These reserves are computed using a heuristic technique which relies on dynamic simulation. Numerical results on four test systems of 60, 118, 618, and 1203 buses support the interest of the approach.Index Terms-optimal power flow, reactive power reserves, security constrained optimal power flow, voltage stability

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“…Thus, it is important that a computationally efficient technique be developed to both quantifY the degree of unsolvability, and to provide optimal recommendations of the parameters to change and returning to a solvable solution [19], [24], [28]. Therefore, at beginning of 80's, Multiple Load Flow Solution (MLFS) methods were presented [6], [7], [31]. As predictor, check best slope from a critical point i.e.…”

Section: Introctduionmentioning

confidence: 99%

“…A part of the survey, this paper also presents the comparison of numerical result using different type of aforesaid load flow methods for well and iII-conditioned systems. Accordingly, load flow simulation has been solved using the C++ programming.A t first of 70's, ability of load flow methods were considered to over come, outage security assessment, optimization and stability [1 ], [31]. Thus, the load-flow studies required the less computer memory and far less execution time.…”

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confidence: 99%

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Comparative studies on Non-Divergent Load flow methods in well, ill and unsolvable condition

Shahriari

Bakar

Mokhlis

2010

2010 International Conference on Power System Technology

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This paper describes a critical evaluation of Non Divergent Load flow methods in well, ill and unsolvable conditioned systems. The comparison studies deals Multiple Load Flow Solution (MLFS) based Second-Order Load-Flow (SOLF)in polar coordinate and Continuation Load Flow (CLF). The analytical bases, ability consideration of theses methods to return operation of power system from unsolvable to solvable region solution. Attention is given to the problems and techniques of to provide optimal recommendations of the parameters, that using in these Non-Divergent Load flow methods to lead to solvable region, based on inequality constraints of power system. A part of the survey, this paper also presents the comparison of numerical result using different type of aforesaid load flow methods for well and iII-conditioned systems. Accordingly, load flow simulation has been solved using the C++ programming.A t first of 70's, ability of load flow methods were considered to over come, outage security assessment, optimization and stability [1 ], [31]. Thus, the load-flow studies required the less computer memory and far less execution time. These issues were addressed in the early 1970's when Stott and Alsac presented Fast Decoupled Load Flow (FDLF) model [I]. The FDLF was the usual choice in transmission applications. But, during 70's power system operation was confronted to ill conditioning. The ill conditioning for FDLF was high ratios of lines rlx, connections of very low and very high impedance lines at a bus that could cause FDLF to converge slowly or was divergent [2]. However, when reliability and accuracy, rather than speed of response, was a concern, or when the decoupling principle did not hold, the Newton-Raphson (NR) was the preferred .But conventional NR was poor convergence for radial distribution systems. There were heavy loading at some buses and results in low voltages at these [12], [36]. On other meaning that as the system loading approaches critical loading the Jacobian matrix tends to become singular[3], [39]. Under this condition, even the NR was encountered difficulties to reach a solution. Because, efficient sparsity oriented implementation of NR decreases and no solution from initial estimate increases [7],[17]. This issue has 978-1-4244-5940-711 0/$26.00©20 10 IEEE motivated the development of alternative methodologies, based on the NR iterative scheme, specifically [34]. At end of 70's, second-order load-flow (SOLF) methods began to appear [5], [20]. First second order load fl ow technique based on the Taylor series expansion of a load flow equation was in polar coordinate form. In many cases, this second order required lesser iterations, had better convergence characteristics in almost all the load flows attempted by the authors than NR technique. Moreover, it had also been shown that the elements of the second order coefficient matrix need not be stored separately. Rectangular forms of second order method as a fast load flow method retaining nonlinearly (Iwamoto's Method) was introduced in 1978 [5],...

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Improved Newton's Load Flow Through a Minimization Technique

Cited by 57 publications

References 14 publications

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Critical Reviews of Load Flow Methods for Well, Ill and Unsolvable Condition

Assessing Reactive Power Reserves With Respect to Operating Constraints and Voltage Stability

Comparative studies on Non-Divergent Load flow methods in well, ill and unsolvable condition

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