Trajectory Approximations for Direct Energy Methods that Use Sustained Faults with Detailed Power System Models

Sauer, Peter W.; Behera, A.K.; Pai, M.A.; Winkelman, J.; Chow, Joe H.

doi:10.1109/mper.1989.4310689

Cited by 16 publications

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“…No caso dos geradores de indução, a variável de estado a ser analisada pode ser escolhida como sendo a velocidade ou o escorregamento do rotor. Obter funções energia de modelos de sistemas elétricos de potência é uma tarefa complicada (Fouad e Vittal, 1991), (Pai, 1989) No que se refere à aplicação da teoria brevemente exposta, apresenta-se a seguir a formulação do requisito operacional para a restrição do problema. A partir das modelagens desenvolvidas para o sistema teste e para a restrição do problema, são descritas as equações necessárias para caracterizar a RE do ponto de equilíbrio estável do sistema pós-falta para os sistemas original e auxiliar.…”

Section: Método Pebs E Estimativa Dos Tempos Críticos De Aberturaunclassified

“…As variáveis e apresentam dinâmicas rápidas, isto é, tais variáveis apresentam variações muito grandes em um intervalo de tempo muito curto. A inclusão de dinâmicas rápidas em geral compromete as análises de estabilidade via método direto, conforme pode ser observado em (Almeida, 2010) para o motor de indução e em (Sauer et al, 1989) e (Rahimi et al, 1993)…”

Section: Funções Energiaunclassified

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Avaliação da estabilidade de aerogeradores via método direto

Sohn¹

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Palavras-chave: Aerogerador. Estabilidade de velocidade. Fonte alternativa. Função energia. Limite operacional. LVRT. Método direto. PEBS. xiv xv Abstract A. P. Sohn. Stability assessment of wind turbines via direct method. 138 f. Tese de doutorado, Universidade de São Paulo, São Carlos, 2019.This thesis gives a step forward in the direction of reviewing the problem of transient stability and the theory of PEBS method to include models of renewable power plants and their operational limits. The formulation of direct methods with constraint is accomplished by exploring the theory of constrained dynamic systems and the concept of constrained stability region. In particular, the speed stability of the main wind turbine configurations equipped with an induction generator is analyzed, considering the low voltage ride-through requirement, or LVRT curve, as a constraint to the model. An augmented auxiliary dynamical system is developed to represent the time-dependent LVRT constraint as an equivalent time invariant constraint written in terms of an auxiliary state variable. This auxiliary system has its unconstrained stability region equals to the constrained stability region of the constrained dynamic system. The models are described in the form of algebraic and differential equations. The problem of speed stability and the problem of disconnection of wind turbines due to voltage limits violation are investigated via analysis of stability region of the post-fault equilibrium point and critical clearing times obtained for several perturbations. The results show that: i) for different operational limits and for different parameters of the induction machine, the stability regions for a given operating point can be significantly different, ii) in most cases, the violation of the LVRT curve occurs before the speed instability, which reveals the importance of include operational limits in transient stability analysis and in the formulation of direct methods and iii) in most cases, the developed energy functions to evaluate the problem of speed stability and the problem of voltage limits violation, are generally capable of making good estimates of critical clearing times. The developed studies about the transient stability assessment of different models of wind turbines via direct method contribute with applications that can be used in real-time security assessments of power systems that contemplate renewable power plants and their operational limits.

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Section: Método Pebs E Estimativa Dos Tempos Críticos De Aberturaunclassified

Section: Funções Energiaunclassified

Avaliação da estabilidade de aerogeradores via método direto

Sohn¹

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“…The approach used for this is that developed in [49]. In the approach suggested in [49], the concept of noise equivalent bandwidth [50] A brief description of the method used [49] is given below.…”

Section: Implementation Of the Filtering Scheme With Sparse Formulationmentioning

confidence: 99%

“…Therefore, the gradient system for this energy function will be dependent only on the angle, e., the values of E^ and Eg are held constant). The values of Eg and E^^ to be used in the gradient system equations are determined by a procedure similar to that suggested in[50], in which the effect of post-disturbance network is to be I I accounted for in computing the values of Eg and E^ at the exit point.The equations given by 5.3 -5.7 are integrated with the appropriate initial conditions and representation of the fault to obtain the faulted trajectory.In addition, between the time instant corresponding to fault clearing, and theI I exit point, the equations corresponding to Eg , and Efd given below are also integrated in parallel with the fault-on trajectory Ei EPDI = -EPJ)I + KAI (VREF -VFJ) (6.17) At each instant of integration, in the equations above, the currents Id and Iq for the generators represented in detail are obtained using the angles from the faulted trajectory solution and the post-disturbance network I I admittance matrix. The values of Eq and obtained with this procedure, at the exit point are used in the gradient system solution.…”

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Contingency filtering scheme for on-line dynamic security assessment

Krishna

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Determining the Sensitivities at the UEP 4.6.5 Determining Change in MOD and Stability Assessment 4.7 Steps to Evaluate Sensitivities for Network Changes 4.8 Steps to Evaluate Sensitivities for Plant Generation Changes 4.9 Comments on Sensitivity Procedure for Network Changes 4.10 Sensitivities at the Exit Point and the Minimum Gradient Point 4.10.1 Network Topological Changes 4.10.2 Plant Generation Changes 4.11 Sample Results 5 SPARSE TRANSIENT ENERGY FUNCTION FORMULATION 5.1 Mathematical Model 5.2 Determination of the Exit Point and the Minimum Gradient Point 5.3 Identifying the controlling UEP 5.4 Computation of the Energy Margin 5.5 Implementation of the filtering scheme with sparse formulation 5.5.1 Inertial Transient Filters 5.5.2 Post Inertial Transient Filters 5.6 Sample results on the post inertial filter signatures 6 ENHANCEMENTS TO THE SPARSE TEF METHOD 6.1 Exciter Reduction 6.1.1 Procedure to Obtain Reduced Order Excitation System Model 6.1.2 Sample results with exciter reduction V 6.2 Spline Function 6.2.1 Sample results with the spline fit 6.3 Alternate Method of Determining the MOD 6.4 Scaffolding 7

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“…Com o intuito de minimizar o conservadorismo dos resultados do método do ponto de equilíbrio de menor energia, Kakimoto et al [54,55] propuseram o método conhecido como PEBS (do inglês Potential Energy Boundary Surface). Este método foi proposto com base em argumentos heurísticos [16] e estendido em trabalhos posteriores [17,56,57,58], em que se estabelecem os fundamentos deste método e justifica-se a possibilidade de estimativas não conservadoras. O método PEBS ganhou a atenção dos pesquisadores devido a sua simplicidade e velocidade, pois elimina a necessidade do cálculo dos pontos de equilíbrio instáveis e requer apenas uma rápida integração do sistema em falta para a determinação da energia critica Vcr.…”

Section: Introductionunclassified

Estudo da estabilidade de tensão em duas escalas de tempo por métodos diretos: análise quase estática

Pillco¹

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Trajectory Approximations for Direct Energy Methods that Use Sustained Faults with Detailed Power System Models

Cited by 16 publications

References 15 publications

Avaliação da estabilidade de aerogeradores via método direto

Avaliação da estabilidade de aerogeradores via método direto

Contingency filtering scheme for on-line dynamic security assessment

Estudo da estabilidade de tensão em duas escalas de tempo por métodos diretos: análise quase estática

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