Virtual differential passivity based control of mechanical systems in the port-Hamiltonian framework

The increasing use of electrical energy influences the quality of the mains voltage and current, which can cause problems. The quality of the energy supply falls worldwide under the name power quality. A high-quality energy supply can be characterized by the ability to supply a clean and stable grid voltage. A perfect Power Quality ideally ensures low transport losses and a mains voltage that is always available, noise-free and pure sinusoidal, and always within the level and frequency tolerances. Problems with the quality of power have become important for electricity users at all usage levels. The use of non-linear loads and sensitive electronic equipment in both the industrial and commercial sectors and the domestic environment has increased considerably in recent decades. Unfortunately, the same type of equipment often generates disturbances in the energy supply, which in turn affect other devices negatively. In addition to annoying phenomena such as flicker (blinking of light), dips, swells, interruptions, and harmonics in the mains voltage cause machines and other devices to show disruptions, overheat or work inefficiently. Harmonic currents and large asymmetrical loads cause unnecessary capacity and energy losses. The lifespan of machines and other devices is considerably shortened if there is too much fluctuation in the quality of the voltage. In the worst case, entire production lines can fall out, lives in hospitals are at risk, data processing in real time such as the processing of bank transactions can be lost, etc.. According to the Leonardo Power Quality Initiative (LPQI), Power Quality problems in Europe costs a total of 150 billion euros annually and according to research by the Electric Power Research Institute (EPRI) the US sees losses of 119 to 188 billion dollars a year. Contribution In this talk, Iwill discuss howpower quality problems present important opportunities and interesting challenges for the systems and control community. To this effect, I will give a brief overview of the most significant power quality issues today and motivate the need for new tools to tackle them. 37th Benelux Meeting on Systems and Control Book of Abstracts