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Electrical Transients Assessment Based on Recording the State Variables Derivatives

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The modern approach to assessing transients in electrical systems involves the employment of numerical integration methods to solve the state-space models for the various initial conditions. The results are provided to the system analysts as time domain representations of state variables and of any other quantity given as closed-form expression in terms of state variables. However, to accurately assess the transient response and to predict the final state of the system under study, the system analysts have to access huge files encompassing the data corresponding to a numerical integration performed over a very large time interval. To facilitate the transient performance analysis and the prediction of the system final state, alongside the representation in the time domain, the present paper puts forward the assessment by employing coordinate systems in two dimensions with the coordinates represented by pairs of state variables derivatives. The proposed approach requires software development having in view that the commonly used environments do not provide access to the values of state variables derivatives received during numerical integration. However, we consider that implementing a procedure of real-time recording the state variables derivatives is a plain task since exactly the time-related derivatives of selected state variables are used by the integrators to make a step forward i.e. to update the state variables.
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Electrical Transient; Dynamic Simulation; Data Visualization; Attractor; Synchronous Generator

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