A new approach for estimating voltage collapse point based on quadratic approximation of PV-curves

Pama, Alex; Radman, Ghadir

doi:10.1016/j.epsr.2008.09.018

Cited by 17 publications

(8 citation statements)

References 15 publications

(33 reference statements)

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“…Apesar disso, em virtude da necessidade de redução do tempo computacional, qualquer desenvolvimento adicional objetivando obter uma melhora nas características de convergência do processo de solução, bem como uma redução do tempo computacional necessário para o traçado da curva P-A. Bonini Neto, E. M. Magalhães V tem representado um campo de estudo muito atrativo [12][13][14][15][16][17][18][19][20][21][22]. Nos algoritmos de FCC, a cada iteração, um conjunto de equações não lineares é linearizado em torno da solução atual, e a atualização do estado é obtida pela solução destas equações.…”

Section: Q Cunclassified

Dishonest Newton Method Applied in Continuation Power Flow Through a Geometric Parameterization Technique

Neto

Magalhães

Alves

2016

IEEE Latin Am. Trans.

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The electricity sector has gone through several transformations due primarily to increased electricity demand, especially in emerging countries. This encourages more investment in the generation and leads to a growing concern about the development and improvement of static voltage stability tools of power systems. This paper presents a geometric parameterization technique for continuation power flow based on the addition of a line which passes through of points in the plane formed by the variables of voltage magnitude or voltage angle and loading factor. This technique eliminates the Jacobian matrix singularity at the maximum loading point, which allows obtaining the solution trajectory (P-V curve) without any need to change the parameter, which is a very common procedure in the continuation power flow currently available. This paper also investigates the influence of updating the modified Jacobian matrix only when the system undergoing significant change (Dishonest Newton Method), rather than update it every iteration. The results show a reduction of the CPU time in tracing of P-V curve.

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Section: Q Cunclassified

Dishonest Newton Method Applied in Continuation Power Flow Through a Geometric Parameterization Technique

Neto

Magalhães

Alves

2016

IEEE Latin Am. Trans.

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“…Underscores are used to represent the values in System B. 6 Differences between Systems A and B are as follows: a) the different nodal injections at buses m and n; and b) the branch mn.…”

Section: Proposed Transformation and Proof Of Equivalencementioning

confidence: 99%

“…A recent work [5] circumvents the singularity of Jacobian matrix near maximum loading by introducing a new bus type, AQ bus. CPF has been very successful in power system planning, but is timeconsuming for power flow calculations and not always a good candidate for online applications especially when a significant number of contingencies are considered [6].…”

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confidence: 99%

Hybrid voltage stability assessment (VSA) for N− 1 contingency

Yuan

2015

Electric Power Systems Research

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With the growing deployment of phasor measurement units (PMUs), measurement-based voltage stability assessment (VSA) that estimates the system Thevenin equivalent has been widely discussed in recent years. This approach attracts favorable attentions mainly for its simplicity and great potential in real-time applications, as opposed to the continuation power flow (CPF) method which is model-based VSA. However, the existing measurement-based VSA deals with the normal case, but not any contingency case because there is no measurement data for a contingency case which is hypothetical. With this motivation, a hybrid VSA method is proposed based on both model-based and measurementbased techniques. First, an enhanced model-based sensitivity analysis estimating the postcontingency status is proposed, and then it is combined with the measurement-based Thevenin equivalent approach. The proposed sensitivity analysis has the feature of simplicity, which is aligned with the measurement-based Thevenin equivalent. Test results with the IEEE 14, 39, and 118-bus system show that the proposed sensitivity is highly accurate in estimating N-1 contingency system variables and the proposed hybrid VSA method for N-1 contingency captures the insecure contingencies successfully. The proposed method greatly broadens the practical application of PMUs for VSA under N-1 contingency.

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“…Many studies on the CPF method have been developed, in which the use of interpolating polynomial is frequent [14]- [18]. A very common application is based on the approximately quadratic curvature presented by the power flow (PF) solution trajectory (P-V curve) close to the MLP, particularly the critical bus [14]- [16]. In these methods, a quadratic approximation for the P-V curve is used to estimate the power system load margin and voltage magnitudes.…”

Section: Introductionmentioning

confidence: 99%

“…In [15], to improve the accuracy of load margin estimation, a sensitivity-based scheme determines for each contingency, an adaptive step size that is used to compute the second PF solution. A method that uses only PF solution is proposed in [16], it is also based in the approximately quadratic curvature of P-V curve. In several other implementations of CPF, non-linear predictors are developed based on the polynomial interpolation and are used to predict the next P-V curve solution [17], [18].…”

Section: Introductionmentioning

confidence: 99%

Geometric Parameterization Technique for Continuation Power Flow Based on Quadratic Curve

Neto

Magalhães

Alves

2017

Electric Power Components and Systems

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A new approach for estimating voltage collapse point based on quadratic approximation of PV-curves

Cited by 17 publications

References 15 publications

Dishonest Newton Method Applied in Continuation Power Flow Through a Geometric Parameterization Technique

Dishonest Newton Method Applied in Continuation Power Flow Through a Geometric Parameterization Technique

Hybrid voltage stability assessment (VSA) for N− 1 contingency

Geometric Parameterization Technique for Continuation Power Flow Based on Quadratic Curve

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