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Andrew Keane

Publications and source records attributed to Andrew Keane.

25 records · Page 2Linked to original sources

Strategic Scheduling of Discrete Control Devices in Active Distribution Systems

The frequent actuation of discrete control devices dcds, e.g., on-load tap changers, drastically reduces their lifetime. This, in turn, imposes a huge replacement cost. Simultaneous scheduling of these \textsc{dcd}s and continuous control devices, e.g., distributed energy resources, is imperative for reducing the operating cost. This also increases the lifetime of \textsc{dcd}s and helps to avoid the sub-optimal/infeasible solutions. Considering the high cost of discrete control actions (dcas), they may never be justified against the other options in a short scheduling horizon (sh). With a longer sh, their benefits over a long period justify dcas. However, a shorter \textsc{sh} helps to hedge against the risk impelled by uncertainties. Here, the system's future is modeled as a set of multi-period scenarios. The operator exploits a long sh, but solely applies the decisions made for the first period and waits for updated data to make the next decisions. This enables cost reduction by strategically applying dcas prior to the time that they are inevitable while avoiding them when unneeded. The proposed branch-and-cut-based solution methodology accurately deals with dcas while applying some expediting heuristics. During the branching process, a globally convergent trust-region algorithm solves the integer relaxed problems.

eess.SY↗

Fast Resource Scheduling for Distribution Systems Enabled with Discrete Control Devices

This paper proposes a framework for fast short-term scheduling and steady-state voltage control in distribution systems enabled with both continuous control devices, e.g., inverter interfaced DGs and discrete control devices (dcds), e.g., on-load tap changers (oltcs). The voltage-dependent nature of loads is taken into account to further reduce the operating cost by managing the voltage levels. The branch and cut method is applied to handle the integrality constraints associated with the operation of dcds. A globally convergent trust-region algorithm (tra) is applied to solve the integer relaxed problems at each node during the branching process. The tra sub-problems are solved using the interior point method. To reduce the branching burden of the branch and cut algorithm, before applying tra at each node, a simplified optimization problem is first solved. Using the convergence status and value of the objective function of this problem, a faster decision is made on stopping the regarding branch. Solving the simplified problem obviates the application of tra at most nodes. It is shown that the method converges to the optimal solution with a considerable saving in computation time according to the numerical studies.

eess.SY↗

Resilient Decentralized Control of Inverter-interfaced Distributed Energy Sources in Low-voltage Distribution Grids

This paper shows that a relation can be found between the voltage at the terminals of an inverter-interfaced Renewable Energy Source RES and its optimal reactive power support. This relationship, known as Volt-Var Curve VVC, enables the decentral operation of RES for Active Voltage Management (AVM). In this paper, the decentralized AVM technique is modified to consider the effects of the realistic operational constraints of RES. The AVM technique capitalizes on the reactive power support capabilities of inverters to achieve the desired objective in unbalanced active Low-Voltage Distribution Systems LVDSs. However, as the results show, this AVM technique fails to satisfy the operator objective when the network structure dynamically changes. By updating the VVCs according to the system configuration and components availability, the objective functions will be significantly improved, and the AVM method remains resilient against the network changes. To keep the decentralized structure, the impedance identification capability of inverters is used to find the system configuration locally. Adaptive VVCs enable the decentralized control of inverters in an online setting. A real-life suburban residential LV-DS in Dublin, Ireland is used to showcasing the proposed method, and the effectiveness of proposed resilient active voltage management technique is demonstrated.

eess.SY↗

Smart transformer Modelling in Optimal Power Flow Analysis

The smart transformer (ST) implemented using power electronics converters, has the capability of independent voltage control and reactive power isolation between its primary and secondary terminals. This capability provides a flexibility in the power system to support the voltage at the primary side and control the demand at the secondary side. Using this flexibility, the system power flow could, for example, be optimized for lower costs. This paper proposes an ST model suitable for OPF analysis. The effects of using multiple STs at different penetration levels, on the daily generation costs in an IEEE 39 bus test system are presented.

eess.SY↗

Chenciner bubbles and torus break-up in a periodically forced delay differential equation

We study a generic model for the interaction of negative delayed feedback and periodic forcing that was first introduced by Ghil et al. in the context of the El Niño Southern Oscillation (ENSO) climate system. This model takes the form of a delay differential equation and has been shown in previous work to be capable of producing complicated dynamics, which is organised by resonances between the external forcing and dynamics induced by feedback. For certain parameter values, we observe in simulations the sudden disappearance of (two-frequency dynamics on) tori. This can be explained by the folding of invariant tori and their associated resonance tongues. It is known that two smooth tori cannot simply meet and merge; they must actually break up in complicated bifurcation scenarios that are organised within so-called resonance bubbles first studied by Chenciner. We identify and analyse such a Chenciner bubble in order to understand the dynamics at folds of tori. We conduct a bifurcation analysis of the Chenciner bubble by means of continuation software and dedicated simulations, whereby some bifurcations involve tori and are detected in appropriate two-dimensional projections associated with Poincaré sections. We find close agreement between the observed bifurcation structure in the Chenciner bubble and a previously suggested theoretical picture. As far as we are aware, this is the first time the bifurcation structure associated with a Chenciner bubble has been analysed in a delay differential equation and, in fact, for a flow rather than an explicit map. Following our analysis, we briefly discuss the possible role of folding tori and Chenciner bubbles in the context of tipping.

math.DS↗

On the Unity Row Summation and Real Valued Nature of the $F_{LG}$ Matrix

Electrical power system calculations rely heavily on the $Y_{bus}$ matrix, which is the Laplacian matrix of the network under study, weighted by the complex-valued admittance of each branch. It is often useful to partition the $Y_{bus}$ into four submatrices, to separately quantify the connectivity between and among the load and generation nodes in the network. Simple manipulation of these submatrices gives the $F_{LG}$ matrix, which offers useful insights on how voltage deviations propagate through a power system and on how energy losses may be minimized. Various authors have observed that in practice the elements of $F_{LG}$ are real-valued and its rows sum close to one: the present paper explains and proves these properties.

math.OC↗

Synchronisation in networks of delay-coupled type-I excitable systems

We use a generic model for type-I excitability (known as the SNIPER or SNIC model) to describe the local dynamics of nodes within a network in the presence of non-zero coupling delays. Utilising the method of the Master Stability Function, we investigate the stability of the zero-lag synchronised dynamics of the network nodes and its dependence on the two coupling parameters, namely the coupling strength and delay time. Unlike in the FitzHugh-Nagumo model (a model for type-II excitability), there are parameter ranges where the stability of synchronisation depends on the coupling strength and delay time. One important implication of these results is that there exist complex networks for which the adding of inhibitory links in a small-world fashion may not only lead to a loss of stable synchronisation, but may also restabilise synchronisation or introduce multiple transitions between synchronisation and desynchronisation. To underline the scope of our results, we show using the Stuart-Landau model that such multiple transitions do not only occur in excitable systems, but also in oscillatory ones.

cond-mat.dis-nn↗