Efficient finite-element computation of synchronous machine transfer functions

Abstract

An efficient two-dimensional finite-element (FE) model is developed for the calculation of synchronous machine transfer functions. The numerical model uses two equivalent sinusoidally distributed stator windings substituting the actual three-phase machine by an equivalent two-phase one, leading to simplified FE simulations. Just two complex solutions per frequency are needed to obtain the three transfer functions that completely describe the two-port nature of the axis network. A new FE-based method is proposed to accurately establish the rotor base quantities, allowing the calculated transfer functions to be in per-unit. Results are validated by comparing the performance of a two-axis equivalent circuit, derived from the FE transfer functions, with a reference transient FE program.

Estimation of Two-axis Synchronous Machine Parameters using Non-Deterministic Tools

“…A scattered function that creates a random binary vector with zeros and ones to coembin parents iS use to produce new cehildren V. NUMERICAL RESULTS A 13 8 kV 150 MVA 130 MW and 50 Hz solid-rotor synchronous generator was considered in this work. The SSFR data of this machine was determined using a validated time-harmonic finite-element approach and it can be found in [18] (not repeated here due to space limitations). Table I shows the identified parameters obtained with (10) and the Genetic Algorithm Tool Box.…”

Noise impact in the determination of synchronous machine equivalent circuits using SSFR data

“…In recent years, the finite-element (FE) method has been incorporated widely to model synchronous machine behavior [1,2]. For instance, a complete Standstill Frequency Response (SSFR) can be obtained using a magnetostatic FE model [2] avoiding the need for an actual test.…”

“…For instance, a complete Standstill Frequency Response (SSFR) can be obtained using a magnetostatic FE model [2] avoiding the need for an actual test. This data can then be used to identify the parameters of two axis equivalent circuits to model synchronous machines [3][4][5].…”

“…The SSFR data were obtained from a FE model of a 150 MVA, 120 MW, 13.8 kV, 50 Hz two pole turbine-generator [1,2]. Data consists of forty six observations in the 0.001-100 Hz interval.…”