The DC-DC converters usually interfaces renewable energy sources in DC microgrids which may be contaminated by harmonic perturbations that adversely affect performance, creates stability and protection problems in a DC grid system. In this paper, the authors propose the use of the popular proportional-integral-derivative (PID) controller to mitigate selected harmonics. The solution is obtained by computing the complete set of stabilising controllers and imposing a bound on the sensitivity function. Using matrix representation of conic sections, the geometric-based PID controller is derived in the controller parameter space. The main result finds a subset of the stabilising set in which the controller mitigate harmonics with prescribed levels of attenuation which are constructively determined for each frequency of the selected harmonics. Simulation and experimental results using a boost converter are provided for validation.
Formerly in the literature, a new interleaved-based boost converter was devised for multiple input voltage sources purposes. Nevertheless, when only a single input voltage source is connected to the 2-phase version of this converter, it can be seen as a compact interleaved boost with voltage multiplier (cIBVM). A brief description of cIBVM operation as well as the ideal modeling are already discussed in the literature for one specific range of duty-cycle. In this paper, we provide further analysis by considering the conduction and dynamic losses on the analytical model with a single voltage source. Moreover, we also obtained the analytical model considering the entire duty-cycle range showing that the converter can perform either a quadratic, a double or even a symmetric voltage gain depending solely on the switching strategy adopted. The analytical model was obtained using state-space representation and both its accuracy and the effectiveness of the results were validated from a Simulink-based cross validation and a complete sequence of experimental tests. INDEX TERMS DC-DC converters, high step-up conversion ratio, multiple operation modes.
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