A power electronic converter is modelled to be operated as a virtual synchronous machine. A controller uses computational algorithms to represent the principles of physical synchronous machines. The converter can be operated in a grid-connected mode or an islanded mode to take part in regulation of frequency and voltage. The frequency is regulated by assigning the real power to be equivalent to torque and the voltage amplitude is regulated by assigning the reactive power to be equivalent to flux of a virtual synchronous machine. A virtual impedance generates a virtual current according to the difference of two voltages. Auxiliary blocks achieve self-synchronization without measuring or estimating the grid frequency and the regulation of real power and reactive power to given torque and flux reference values.
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