access icon free Modelling of the impedance frequency response of transformers at no load and under nominal conditions

The need for models that represent the behaviour of transformers operating in steady state or submitted to transient events is of great importance in studies involving power systems. In this context, this study presents a model used to represent the impedance frequency response of transformers at no load and under nominal conditions. In the model, networks of parameters with RLC cells are employed to reproduce the resonances present in the frequency responses and also RL network sections are used to represent the frequency-dependent effects in the core, which aid in the current damping during transient events. The parameter values of these networks are determined with the least-squares numerical method. To evaluate the model as well as the methodology to determine the parameter values, data originating from measurements of the frequency responses with frequency range from 10 Hz to 2 MHz of two single-phase transformers (16 kVA and 55 MVA) are used. Validations of the model are carried out in the frequency and time domains. The model can be used to simulate transformer operation under nominal conditions of voltage and frequency and also for a broad frequency spectrum.

Inspec keywords: power transformers; time-frequency analysis; least mean squares methods; circuit resonance; power system parameter estimation; frequency response; RLC circuits; damping

Other keywords: impedance frequency response measurement; least square numerical method; apparent power 16 kVA; parameter determination; steady state; no load conditions; frequency 10 Hz to 2 MHz; current damping; power system; nominal conditions; single phase transformer; resonance; RL network section; frequency domain analysis; apparent power 55 MVA; RLC cells; frequency dependent effect; transient event; time domain analysis

Subjects: Transformers and reactors; Power system management, operation and economics; Interpolation and function approximation (numerical analysis)

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