Total transfer capability computation using small signal stability-based security constrained optimal power flow

Abstract

SUMMARYIn an open transmission access environment, the system operating conditions tend to be pushed close to the stability limits. Small signal stability, commonly in the form of low frequency oscillations, is considered to be a crucial factor since it limits the amount of power transfer through interconnected transmission lines under severe disturbances. This paper presents a novel approach to the assessment of the total transfer capability (TTC) using small signal stability-based security constrained optimal power flow (SSS-SCOPF), thereby enhancing small signal sense under a set of credible contingencies while maximizing power transfer. The eigenvalue perturbation method is used to derive the small signal stability constraint included in SSS-SCOPF, which is a linear inequality expressed in terms of the control parameters. In order to reduce the computational burden, Bender's decomposition method is applied to partition the TTC problem with the small signal stability constraint into an iterative two-stage mathematical programming problem. It is then solved by the primal-dual interior point method (PDIPM) in a master-sub problem iteration manner until no constraint violation occurs for each contingency. The effectiveness of the proposed method is clearly validated by comparison with the conventional optimal power flow (OPF) and SCOPF under the same array of transactions, base case, and line outages for the New England 39-bus system.

Available transfer capability calculation methods: A comprehensive review

“…Various conventional methods of OPF have been used in literature for the ATC evaluation . Contingency‐constrained OPF (CCOPF) with fuzzy logic is formulated in Hahn et al as a multi‐objective problem called fuzzy logic multi‐objective CCOPF (FMCCOPF) to minimize both the operating cost at the base case and the post‐contingency correction times.…”

“…A method using OPF with self‐adaptive improved PSO algorithm for ATC determination was proposed in Chen et al; the results show that the algorithm is more accurate and faster compared with Bender and basic PSO algorithms. Small signal security‐based SCOPF was recommended to determine TTC under some viable set of contingencies. The results from the approach are more conservative than those of traditional OPF and SCOPF, but it requires more computation time.…”

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

“…A consideração dos índices de estabilidade (abcissa ou mínimo coeficiente de amortecimento) no problema de FPO deu origem à uma classe de métodos conhecidos na literatura como Small Signal Constrained Optimal Power Flow (referido nesse trabalho, deste ponto em diante, como SSFPO: Fluxo de Potência Ótimo com Restrições de Small Signal Stability) (Chung et al, 2004;M. K. Kim et al, 2011;S.…”

“…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).…”

Differential evolutionary algorithm-based optimal support vector machine for online dynamic available transfer capability estimation incorporating transmission capacity margins

“…In this paper the DATC is calculated by considering Hopf bifurcation limit as a dynamic stability limit. There are several methods for calculating DATC in offline. Due to the computational simplicity, the step‐by‐step method is adopted in this paper .…”