Computational Tool to Determine the Residues of Electrical Power Systems
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José Oscullo
Roberto Jumbo
Patricia Otero
Abstract
This paper presents the development of a tool to calculate the residue of the critical oscillation modes for an electrical system obtained through the DIgSILENs PowerFactory modal analysis tool. This problem is essential in current electrical systems that are characterized by operating their elements at the limit, and if these oscillations are not adequately damped, they can cause generator failures by reducing their level of stability, making the system vulnerable. PowerFactory is an engineering tool to analyze electrical systems, widely used in industry and research. This software has its own programming language, DIgSILENT Programming Language (DPL), providing the capability to process variables of interest from the modal analysis, which can be used in other system devices, such as power system stabilizers (PSS). The residue of the critical oscillation modes can be calculated by programming the variables of interest. Consequently, the calculation of residue requires the processing of the state matrix A provided directly by PowerFactory, whereas it is possible to construct the matrices of the input variables B and output variables C, respectively, by means of DPL programming for different operating scenarios of the electrical power system. The calculation methodology has been applied to electrical systems from the literature specialized in oscillatory stability. The tool is applied to observe the dynamics of the oscillation modes both with and without PSS, the latter being tuned by the calculated residues.
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