Linear Analysis of PHIL Simulation Experiments with Multi-Phase Interfaces

Application of power hardware-in-the-loop (PHIL) simulation methodology has been increasing steadily in recent years. One of the main concerns in PHIL experiments is the tradeoff between accuracy, stability, and sensitivity of experiments, largely through the design of the PHIL interface. Recent work has included development of a general linear formulation for PHIL experiments, using the extended Lawrence architecture (ELA). Although in-depth analysis of the PHIL experiments in the context of the ELA framework have been provided, this has been limited to systems with one or more single phase or DC PHIL interfaces. The work presented herein presents the extension of linear analysis framework from single phase PHIL simulation experiments to multi-phase PHIL interface experiments. Existing PHIL interface algorithms are expressed using the ELA framework, as well as derivation of relevant transfer functions and metrics for assessment of performance. The analysis provided in this work can potentially be applied to systems with multi-phase interface algorithms implemented in different frames and an example application of a system employing interface algorithms implemented in the ’DQ’ frame is provided. Performance is analyzed in terms of accuracy (compared to the ideal system) and stability and compared to systems employing rotating frame ’abc’ type interface algorithms.