Large-Signal Models of the Park Transformation and Phase-Locked Loop Algorithms

The control of modern grid-connected converters often relies on Park Transform and synchronization algorithms. These are highly nonlinear subsystems integrated into even larger systems that include other nonlinearities. Thus, strictly speaking, large-signal models are required when analysing and designing such systems. However, a limited number of mathematical tools is available to that end. This work proposes a nonlinear time-invariant model for the Park Transformation and the Synchronous Reference Frame Phase-Locked Loop (SRF-PLL), which are based on the Harmonic State-Space (HSS) in a stationary coordinate frame. The HSS modeling technique is reviewed as a basis for nonlinear models of functions based on polynomial nonlinear systems. This serves as an appropriate formal basis for the model of 2-D rotations as means of modeling the SRF-PLL and other similar algorithms. The models are validated through simulations to verify their accuracy when compared to the original Nonlinear Time-Periodic (NLTP) Systems.     «

The control of modern grid-connected converters often relies on Park Transform and synchronization algorithms. These are highly nonlinear subsystems integrated into even larger systems that include other nonlinearities. Thus, strictly speaking, large-signal models are required when analysing and designing such systems. However, a limited number of mathematical tools is available to that end. This work proposes a nonlinear time-invariant model for the Park Transformation and the Synchronous Refer...     »

General Information Journal Title: Eletrônica de Potência Other Variation Title: Open Journal of Power Electronics ISSN Hardcopy: 1414-8862 ISSN Electronic: 1984-557X Register in CAPES: Eletrônica de Potência Classification/Indexing in CAPES (2017-2020): Qualis A4, Nacional Editorial Office Address Prof. Heverton Augusto Pereira Universidade Federal de Viçosa – UFV Departamento de Engenharia Elétrica – DEL Gerência de Especialistas em Sistemas Elétricos de Potência – GESEP Av. P.H. Rolfs, Campus Universitário, S/nº, Cep: 36570-900– Viçosa – Minas Gerais – MG     «

General Information Journal Title: Eletrônica de Potência Other Variation Title: Open Journal of Power Electronics ISSN Hardcopy: 1414-8862 ISSN Electronic: 1984-557X Register in CAPES: Eletrônica de Potência Classification/Indexing in CAPES (2017-2020): Qualis A4, Nacional Editorial Office Address Prof. Heverton Augusto Pereira Universidade Federal de Viçosa – UFV Departamento de Engenharia Elétrica – DEL Gerência de Especialistas em Sistemas Elétricos de Potência – GESEP Av....     »