Nonlinear Analysis for the Three-Phase PLL: A New Look for a Classical Problem
In this paper we investigate the dynamics of the classic synchronous reference frame phase-locked-loop (PLL) from a non-linear perspective. First, we demonstrate the nonlinear differential equations that describe the PLL under balanced conditions can be represented as a dissipative Hamiltonian syste...
- Autores:
- Tipo de recurso:
- Fecha de publicación:
- 2018
- Institución:
- Universidad Tecnológica de Bolívar
- Repositorio:
- Repositorio Institucional UTB
- Idioma:
- eng
- OAI Identifier:
- oai:repositorio.utb.edu.co:20.500.12585/8867
- Acceso en línea:
- https://hdl.handle.net/20.500.12585/8867
- Palabra clave:
- Exponential stability
Hamiltonian systems
Non-linear analysis
Passivity-based control
Synchronous reference frame phase-locked-loop
Asymptotic stability
Differential equations
Hamiltonians
Locks (fasteners)
Nonlinear analysis
Nonlinear equations
Power control
Power electronics
System stability
Classical problems
Dissipative hamiltonian system
Hamiltonian systems
Nonlinear differential equation
Passivity based control
Phase Locked Loop (PLL)
Stability properties
Synchronous reference frame
Phase locked loops
- Rights
- restrictedAccess
- License
- http://creativecommons.org/licenses/by-nc-nd/4.0/
| Summary: | In this paper we investigate the dynamics of the classic synchronous reference frame phase-locked-loop (PLL) from a non-linear perspective. First, we demonstrate the nonlinear differential equations that describe the PLL under balanced conditions can be represented as a dissipative Hamiltonian system (DHS). After that, we find the equilibrium points of this system and their stability properties. Additional properties are investigated such as the attraction region, the conditions for exponential stability and the performance for small unbalances an d/or transients in the grid. Simulations results complement the theoretical analysis. We do not propose a new type of PLL, instead, we propose a non-linear analysis for the classic synchronous reference frame PLL. This analysis is useful for theoretical and practical studies since this PLL is widely used in industrial applications. In addition, it can give insights for better understanding of the dynamics of the phase-locked-loop1 1The presentation of this paper in the COMPEL2018 was partially supported by the Maestrfa en Ingeniería Eléctrica Universidad Tecnologica de Pereira. © 2018 IEEE. |
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