Synchronization of [power-conversion related] oscillators over the network: hybrid system approach


In conclusion, in this project we studied the interconnection of two DC/AC inverters that are connected over a network. We also proposed an algorithm for the phase synchronization. The interconnection was defined as a cyber-physical system and was modeled with difference and differential equations. By MATLAB simulations and analytical reasoning, we further prove that the phase difference of two signals has attractive property and converge to 0. The results of the study can be generalized to interconnection of any physical systems that have oscillating behavior. In addition, the number of the oscillators can be increased from two to many. The overall system should contain one master physical system, and as many slave systems as required.

The physical systems in this project were described with very trivial differential equations. These kind of model does not reflect a real world cases. A more realistic and more complex model of the oscillator is described in the paper A Robust Hybrid Control Algorithm for a Single-Phase DC/AC Inverter with Variable Input Voltage by Jun Chai and Ricardo G. Sanfelice. The authors model the inverter in terms of the real world components, such as: switches and RLC filter as shown in Figure 8 below.

Figure 8

The continuous dynamics of the current and the voltage is described through the following differential equations:

The authors use constant values for R, L, and C components.

We believe that the phase synchronization technique that was proposed in this project can be applied to this model. As was described, the phase synchronization method requires some mechanism to speed up the frequency of the system. The authors of the paper, however, does not discuss this sort of mechanism. We think that we can introduce this feature by making the RLC components variable.


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