Renewable energy sources (RESs), e.g., wind and solar photovoltaics, have been increasingly used to meet worldwide growing energy demands and reduce greenhouse gas emissions. However, RESs are normally coupled to the power grid through fast-response power converters without any inertia, leading to decreased power system inertia. As a result, the grid frequency may easily go beyond the acceptable range under severe frequency events, resulting in undesirable load-shedding, cascading failures, or even large-scale blackouts. To address the ever-decreasing inertia issue, this paper proposes the concept of distributed power system virtual inertia, which can be implemented by grid-connected power converters. Without modifications of system hardware, power system inertia can be emulated by the energy stored in the dc-link capacitors of grid-connected power converters. By regulating the dc-link voltages in proportional to the grid frequency, the dc-link capacitors are aggregated into an extremely large equivalent capacitor serving as an energy buffer for frequency support. Furthermore, the limitation of virtual inertia, together with its design parameters, is identified. Finally, the feasibility of the proposed concept is validated through simulation and experimental results, which indicate that 12.5% and 50% improvements of the frequency nadir and rate of change of frequency can be achieved. Index Terms-Frequency regulation, power converter, power system, renewable energy source (RES), virtual inertia. I. INTRODUCTION I NCREASING demands for the reduction of carbon footprint necessitate the large-scale integration of renewable energy, leading to a dramatic change of modern power systems. In particular, power system inertia provided by the rotating masses of synchronous generators continues to decrease. The reason is that renewable energy sources (RESs), e.g., wind and solar Manuscript

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This paper concentrates on the design, control, and implementation of an LCL-filter-based shunt active power filter (SAPF), which can effectively compensate for harmonic currents produced by nonlinear loads in a three-phase three-wire power system. With an LCL filter added at its output, the proposed SAPF offers superior switching harmonic suppression using much reduced passive filtering elements. Its output currents thus have high slew rate for tracking the targeted reference closely. Smaller inductance of the LCL filter also means smaller harmonic voltage drop across the passive output filter, which in turn minimizes the possibility of overmodulation, particularly for cases where high modulation index is desired. These advantages, together with overall system stability, are guaranteed only through proper consideration of critical design and control issues, like the selection of LCL parameters, interactions between resonance damping and harmonic compensation, bandwidth design of the closed-loop system, and active damping implementation with fewer current sensors. These described design concerns, together with their generalized design procedure, are applied to an analytical example, and eventually verified by both simulation and experimental results.

A battery/ultracapacitor hybrid energy storage system for implementing the power management of virtual synchronous generators. IEEE

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This paper investigates the inherent damping characteristic of LCL-filters for three-phase grid-connected voltage source inverters (VSIs). Specifically, it is found that there is an inherent damping term embedded in the feedback loop when converter current is used for implementing closedloop control. This additional damping term can indeed neutralize the resonance introduced by LCL-filters, and thus giving rise to a more stable system than that of grid current feedback control. In this case, only one set of current sensors is required to stabilize the system, doing away with passive damping, active damping or complex state observer. Theoretical analysis is then presented and lead to a general design guideline, which suggests a way of choosing the values of grid-and converter-side inductors, so that optimum damping can be naturally achieved by solely using converter current control. In the case when this design criterion is not fulfilled, a simple compensation method is also proposed to tune the damping factor. Both simulation and experimental results are finally provided to validate the theoretical findings developed in this paper.

The middle capacitor voltage of an LCL-filter, if fed back for synchronization, can be used for active damping. An extra sensor for measuring the capacitor current is then avoided. Relating the capacitor voltage to existing popular damping techniques designed with capacitor current feedback would however demand a noise-sensitive derivative term. Digital implementation of this derivative term is generally a challenge with many methods presently developed for resolving it. These methods are however still facing drawbacks, which have comprehensively been explained in the paper. Two derivatives are then proposed, based on either second-order or non-ideal generalized integrator. Performances of these derivatives have been found to match the ideal "s" function closely. Active damping based on capacitor voltage feedback can therefore be realized accurately. Experimental results presented have verified the effectiveness of the proposed derivatives, which can similarly be used with other applications, where differentiation is needed.

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