Constrained fuzzy power flow models with correlation between nodal injections

Abstract

Summary This paper extends the symmetric/constrained fuzzy power flow models by including the potential correlations between nodal injections. Therefore, the extension of the model allows the specification of fuzzy generation and load values and of potential correlations between nodal injections. The enhanced version of the symmetric/constrained fuzzy power flow model is applied to the 30‐bus IEEE test system. The results prove the importance of the inclusion of data correlations in the analysis of transmission system adequacy. Copyright © 2015 John Wiley & Sons, Ltd.

Probabilistic security constrained fuzzy power flow models

“…The adequacy of the transmission network to "satisfy reasonable demands for transmission of electricity" can be "measured" using the subsequent indexes [17]:…”

“…Thus it is usual to have probabilistic models for the components (where there is full knowledge) and can be considered fuzzy models for other variables (generation and load). One of the proposed models to address the adequacy of transmission network (exclusively) and dealing with fuzzy uncertainty was the Symmetric / Constrained Fuzzy Power Flow (SFPF / CFPF) [15] [16] [17]. Also, the SFPF / CFPF models are appropriate to quantify the adequacy of transmission network to fulfill "reasonable demands for the transmission of electricity.…”

DC constrained fuzzy power flow for transmission expansion planning studies

“…Actually, the adequacy of the network depends on the “requests” made by both loads and generators. Furthermore, these requests are often linked with relevant uncertainties, which should be accounted for assessing the adequacy of the transmission system . The existence of such uncertainties led to the development of power flow models that are able to handle the associated uncertainties, while supporting the evaluation of the transmission system adequacy.…”

“…This is due to the lack of data or even because of the nonprobabilistic nature of the events. In such circumstances, using past experiences to evaluate events in the future can be an incomplete approach …”

“…Furthermore, these requests are often linked with relevant uncertainties, which should be accounted for assessing the adequacy of the transmission system. 7 The existence of such uncertainties led to the development of power flow models that are able to handle the associated uncertainties, while supporting the evaluation of the transmission system adequacy. The probabilistic power flow (PPF) models [8][9][10] were the first attempt to achieve this goal.…”