Constrained frequency domain algorithms for determination of parameters of fundamental sinewave of signals

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Constrained frequency domain algorithms for determination of parameters of fundamental sinewave of signals

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The method presented enables the design digital FIR filters satisfying specific frequency characteristics with auxiliary constraints. Such filters make it possible to estimate in realtime the parameters of fundamental current and voltage waveforms encountered in electrical power systems. The problem of design is converted to an optimisation problem with constraints using the standard least-squares criterion. The minimisation problem using the Lagrange multiplier method is mapped to a simpler problem of solving a set of linear equations. Using this method we optimise the selection of algorithms for particular applications.

Inspec keywords: power system protection; power system measurement; power system control; frequency-domain synthesis; optimisation; network synthesis; digital filters; filtering and prediction theory; real-time systems; least squares approximations

Other keywords: power system measurement; minimisation; real-time; voltage waveforms; parameter estimation; linear equations; least-squares criterion; Lagrange multiplier method; optimisation; design; power system control; power system protection; digital FIR filters; frequency characteristics; current waveforms; constrained frequency domain algorithms

Subjects: Optimisation techniques; Power system management, operation and economics; Power system protection; Optimisation techniques; Control of electric power systems; Control system analysis and synthesis methods; Digital filters; Power system measurement and metering

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