Ian A. Hiskens - IEEE Xplore Author Profile

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Even though thermostatically controlled loads like air conditioners present a great potential for providing ancillary services to the electric power grid, the practical challenges associated with their real-time coordination have not received the necessary attention. In this work, we present a nondisruptive load control application, specifically, we demonstrate how real residential air conditioner...Show More
Thermostatically controlled loads (TCLs) are ubiquitous and have the potential to assist grid operation through aggregate control. In order to adequately represent TCL dynamic behavior, a second-order model that takes into account both air and mass temperature must be considered. However, the parameters of such models cannot always be estimated from readily available measurements. In this paper, w...Show More
Aggregations of residential air conditioners can be controlled to provide important services to the grid, such as frequency regulation. To facilitate such applications, it is essential that models used to represent air conditioners capture their key dynamics. Using house temperature measurements, we demonstrate that there is a delay between the time instant at which an air conditioner switches and...Show More
The paper extends the packetized energy management (PEM) control strategy to enable coordination of compressor-based thermostatically controlled loads (TCLs), such as air conditioners. This establishes a new method of harnessing the flexibility of this ubiquitous resource, enabling a variety of grid services, such as frequency regulation. In the original PEM scheme, resources request energy packet...Show More
The paper describes an inverter control scheme which incorporates both a phase-locked loop (PLL) for voltage synchronization and power-frequency droop for load sharing. As such, it is a hybrid grid-forming/following controller and offers beneficial characteristics of both. The model describing behaviour is presented and connections with grid-forming and grid-following control schemes are considere...Show More
The paper describes an inverter control scheme which incorporates both a phase-locked loop (PLL) for voltage synchronization and power-frequency droop for load sharing. As such, it is a hybrid grid-forming/following controller and offers beneficial characteristics of both. The model describing the dynamic behaviour of the inverter control scheme is presented and connections with grid-forming and g...Show More
Modern power grids are rapidly shifting from fossil fuel-based generation to carbon-free renewable sources. This transition brings the problem of balancing power supply and demand to a higher level – due largely to the high uncertainty of renewable generation such as wind and solar. Aggregations of thermostatically controlled loads such as residential air conditioners (AC) can provide balancing se...Show More
The paper establishes convergence properties of decentralized and distributed control strategies that use a Steinmetz-based technique for mitigating voltage unbalance on distribution feeders. Reactive power from distributed energy resources (DERs), such as solar photovoltaic (PV), is used to balance voltages at critical nodes in the distribution network. Interactions between controllers are analyz...Show More
The paper develops an optimization method for assessing transmission network vulnerability to small changes in generation (as caused, for example, by wind forecast inaccuracy). The method computes the smallest deviation (in a weighted 2-norm sense) from the nominal generation pattern that would drive a particular line to a specified temperature, over a given time horizon. The 2-norm weighting matr...Show More
The proofs of the groundbreaking theorems of [1] rely on a lemma, which states that if the unstable manifold of a first hyperbolic closed orbit intersects transversely the stable manifold of a second (possibly the same) hyperbolic closed orbit, then the dimension of the unstable manifold of the first is strictly greater than the dimension of the unstable manifold of the second. However, we provide...Show More
This article presents a computational framework to evaluate the resilience of electricity distribution networks (DNs) to a class of cyber-physical failures. In our model, we consider an attacker who targets multiple DN components to maximize the loss of the DN operator. We consider two types of operator responses: i) coordinated emergency response and ii) uncoordinated autonomous disconnects, whic...Show More
Since the publication of the original paper on power system stability definitions in 2004, the dynamic behavior of power systems has gradually changed due to the increasing penetration of converter interfaced generation technologies, loads, and transmission devices. In recognition of this change, a Task Force was established in 2016 to re-examine and extend, where appropriate, the classic definiti...Show More
Maintaining balanced voltages across distribution networks is becoming more challenging with increasing deployment of single-phase distributed generation and larger single-phase loads. The paper develops a reactive power compensation strategy that uses distributed solar photovoltaic (PV) inverters to mitigate such voltage unbalance. The proposed strategy takes advantage of Steinmetz design and is ...Show More
This article takes an integrated view of optimized capacity design and operation of islanded energy hubs. We consider energy hubs that incorporate emerging distributed energy resources as well as energy storage devices and fully support electricity and heat demand of an islanded installation. Both battery and hydrogen storage are incorporated. To explicitly account for the stochasticity in renewab...Show More
To analyze the delay-dependent stability of a load frequency control (LFC) system with transmission delays, the continuous-time model with delay is usually adopted. However, practical LFC is actually a sampled-data system, where the power commands sent to generation units are updated every few seconds. It is therefore desirable to analyze the delay-dependent stability of LFC when sampling is intro...Show More
Consider a particular finite-time disturbance applied to a system governed by ordinary differential equations and which possesses a stable equilibrium point. The recovery of the system from a disturbance is a function of the system parameter values. It is an important though challenging problem to identify the system parameter values, called critical parameter values, for which the system is just ...Show More
Inverter-interfaced microgrids differ from the traditional power systems due to their lack of inertia. Vanishing timescale separation between voltage and frequency dynamics makes it critical that faster-timescale stabilizing control laws also guarantee by-construction the satisfaction of voltage limits during transients. In this article, we apply a barrier functions method to compute distributed a...Show More
Distributed solar photovoltaic (PV) systems can contribute to voltage unbalance in electric power distribution networks. However, PV inverter control can also be used to help mitigate voltage unbalance. Steinmetz proposed a circuit design method to achieve voltage balance by controlling the reactances of three-phase delta-connected constant-impedance loads. The approach is simple, open-loop, and d...Show More
The ability of a nonlinear system to recover from a large disturbance to a desired stable equilibrium point depends on system parameter values, which are often uncertain and time varying. A particular disturbance acting for a finite time can be modeled as an implicit map that takes a parameter value to its corresponding post-disturbance initial condition in state space. The system recovers when th...Show More
Hybrid dynamical systems are characterized by intrinsic coupling between continuous dynamics and discrete events. This paper has adopted a differential-algebraic impulsive switched (DAIS) model to capture such dynamic behavior. For such systems, trajectory sensitivity analysis provides a valuable approach for describing perturbations of system trajectories resulting from small variations in initia...Show More
Under transactive (market-based) coordination, a population of distributed energy resources (DERs), such as thermostatically controlled loads (TCLs) and storage devices, bid into an energy market. Consequently, a certain level of demand will be cleared based on the operating conditions of the grid. This paper analyzes the influence of various factors, such as price signals, feeder limits, and user...Show More
Temporal load shifting via demand response can be used to improve power system frequency stability. Recent work has shown that spatio-temporal load shifting can also be used to improve power system static voltage stability. However, the best static voltage stability metric is an open question. In this paper, we propose a method to improve power system static voltage stability by maximizing the dis...Show More
This paper develops and compares algorithms to compute inner approximations of the Minkowski sum of convex polytopes. As an application, the paper considers the computation of the feasibility set of aggregations of distributed energy resources (DERs), such as solar photovoltaic inverters, controllable loads, and storage devices. To fully account for the heterogeneity in the DERs while ensuring an ...Show More
Power grids are naturally represented as graphs, with buses as nodes and power lines as edges. Graph theory provides many ways to measure power grid graphs, allowing researchers to characterize system structure and optimize algorithms. We apply several topological graph metrics to 33 publicly-available power grids. Results show that a straightforward, computationally inexpensive set of checks can ...Show More
For a given power system disturbance, it is useful to determine the critical parameter values that cause the resulting trajectory to lie exactly on the boundary (in state space) of the region of attraction of the operating point. These critical parameter values form the boundary, in parameter space, between sets of parameter values for which the system recovers to its original stable operating poi...Show More