1,630 research outputs found

    Effect of distributed energy systems on the electricity grid

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    A feasibility study is being carried out at Ecotricity into a distributed energy storage system comprising Energy stores (batteries) placed at consumer level (in customer’s homes). The aim is to flatten consumer demand and make better use of home-based generation. The Study Group considered the mechanism of connecting batteries to the local distribution system, the ability to meet engineering requirements for the standard of the connection, and the potential impact of large numbers of such connections on stability of the local distribution network. Network and (DC-AC) invertor models were used to examine network connection transients. A statistical model was proposed to estimate the distribution of key electrical parameters to determine the likelihood of engineering standards being exceeded. The Study Group also considered stochastic methods of modelling wind speed, to better understand the requirements for battery energy storage as a complement to wind power

    Uncovering Droop Control Laws Embedded Within the Nonlinear Dynamics of Van der Pol Oscillators

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    This paper examines the dynamics of power-electronic inverters in islanded microgrids that are controlled to emulate the dynamics of Van der Pol oscillators. The general strategy of controlling inverters to emulate the behavior of nonlinear oscillators presents a compelling time-domain alternative to ubiquitous droop control methods which presume the existence of a quasi-stationary sinusoidal steady state and operate on phasor quantities. We present two main results in this work. First, by leveraging the method of periodic averaging, we demonstrate that droop laws are intrinsically embedded within a slower time scale in the nonlinear dynamics of Van der Pol oscillators. Second, we establish the global convergence of amplitude and phase dynamics in a resistive network interconnecting inverters controlled as Van der Pol oscillators. Furthermore, under a set of non-restrictive decoupling approximations, we derive sufficient conditions for local exponential stability of desirable equilibria of the linearized amplitude and phase dynamics

    Voltage Stabilization in Microgrids via Quadratic Droop Control

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    We consider the problem of voltage stability and reactive power balancing in islanded small-scale electrical networks outfitted with DC/AC inverters ("microgrids"). A droop-like voltage feedback controller is proposed which is quadratic in the local voltage magnitude, allowing for the application of circuit-theoretic analysis techniques to the closed-loop system. The operating points of the closed-loop microgrid are in exact correspondence with the solutions of a reduced power flow equation, and we provide explicit solutions and small-signal stability analyses under several static and dynamic load models. Controller optimality is characterized as follows: we show a one-to-one correspondence between the high-voltage equilibrium of the microgrid under quadratic droop control, and the solution of an optimization problem which minimizes a trade-off between reactive power dissipation and voltage deviations. Power sharing performance of the controller is characterized as a function of the controller gains, network topology, and parameters. Perhaps surprisingly, proportional sharing of the total load between inverters is achieved in the low-gain limit, independent of the circuit topology or reactances. All results hold for arbitrary grid topologies, with arbitrary numbers of inverters and loads. Numerical results confirm the robustness of the controller to unmodeled dynamics.Comment: 14 pages, 8 figure
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