Abstract
Wide area monitoring systems are becoming increasingly important to power systems security. Control and protection schemes that use remote sensing are being developed and becoming a reality. The delay introduced by remote sensing should be accurately modelled in the analysis tools. A precise representation of transport delays turns the system model into an infinite-dimensional system, with an infinite number of poles. As a result, usual representations such as state-space and descriptor systems become unfeasible. This paper presents novel mathematical advances and computational methodologies to allow a comprehensive modal analysis using exact representation of multiple transport delays. The proposed approach is based on a non-linear formulation in the Laplace domain and uses numerical methods founded on the general complex variable theory. The proposed methodologies are analysed through simulations in a didactical example and in the Brazilian Interconnected Power System.
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