Available Transfer Capability Calculation Constrained with Small-Signal Stability Based on Adaptive Gradient Sampling

Abstract

Due to the nonsmoothness of the small-signal stability constraint, calculating the available transfer capability (ATC) limited by small-signal stability rigorously through the nonlinear programming is quite difficult. To tackle this challenge, this paper proposes a sequential quadratic programming (SQP) method combined with gradient sampling (GS) in a dual formulation. The highlighted feature is the sample size of the gradient changes dynamically in every iteration, yielding an adaptive gradient sampling (AGS) process. Thus, the computing efficiency is greatly improved owing to the decrease and the parallelization of gradient evaluation, which dominates the computing time of the whole algorithm. Simulations on an IEEE 10-machine 39-bus system and an IEEE 54-machine 118-bus system prove the effectiveness and high efficiency of the proposed method.

Recent Advances in Surrogate Modeling Methods for Uncertainty Quantification and Propagation

“…Cross-validation (CV)-based techniques utilize leave-one-out CV errors to estimate prediction errors, evaluating the credibility of the surrogate model to some extent [171]. Gradient-based methods select the point with the maximal gradient for updating, aiming to improve the accuracy in these high-gradient regions [172]. Query-by-committeebased strategies assert that the point at which all committee members (several competing surrogate models) have maximal divergence are selected for supplement points [173].…”

Available Transfer Capability Assessment of Multiarea Power Systems with Conditional Generative Adversarial Network

“…In [16], the ATC evaluation was modelled as a nonlinear OPF problem, which adopts an iterative decompositioncoordination approach based on the constrained augmented Lagrangian method. In addition to static security constraints, the small-signal stability constraint is considered in the ATC evaluation [17]. Considering the rigorously smallsignal stability model is complex, this study proposed a sequential quadratic programming method combined with gradient sampling (GS).…”

Minimização do Custo de Geração com Restrição de Estabilidade à Pequenas Perturbações

“…K. Kim et al, 2011;S. Kim et al, 2019;Li et al, 2017Li et al, , 2020Pareek & Nguyen, 2019). O SSFPO tem recebido bastante atenção da comunidade científica, uma vez que o problema não está bem estabelecido.…”

“…Propostas de métodos analíticos para minimização de custo de geração são apresentadas por (Li et al, 2017;Pareek & Nguyen, 2019). Aplicações para maximização da capacidade de transferência de potência são apresentadas por (M. K. Kim et al, 2011;Li et al, 2020).…”