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- Diego Romeres, Florian Dörfler, Francesco Bullo
- 2013

— We revisit the classic slow coherency and area aggregation approach to model reduction in power networks. The slow coherency approach is based on identifying sparsely and densely connected areas of a network, within which all generators swing coherently. A timescale separation and singular perturbation analysis then results in a reduced low-order system,… (More)

—A central question in the analysis and operation of power networks is feasibility of the power flow equations subject to security constraints. For large-scale networks the solution of the nonlinear AC power flow equations can be constructed only numerically or approximated through the linear DC power flow. The latter serves as well-used approximation to… (More)

Cyber-physical systems integrate physical processes, computational resources, and communication capabilities. Cyber-physical systems have permeated modern society becoming prevalent in many domains including energy production, health care, and telecommunications. Examples of cyber-physical systems include sensor networks, industrial automation systems , and… (More)

— The celebrated Kuramoto model captures various synchronization phenomena in biological and man-made dy-namical systems of coupled oscillators. It is well-known that there exists a critical coupling strength among the oscillators at which a phase transition from incoherency to synchronization occurs. This paper features three contributions. First, we… (More)

Finding equilibria of the finite size Kuramoto model amounts to solving a nonlinear system of equations, which is an important yet challenging problem. We translate this into an algebraic geometry problem and use numerical methods to find all of the equilibria for various choices of coupling constants K, natural frequencies, and on different graphs. We note… (More)

In transient stability studies in power networks two types of mathematical models are commonly used – the differential-algebraic structure-preserving model and the reduced dynamic model of interconnected swing equations. This paper analyzes the reduction process relating the two power network models. The reduced admittance matrix is obtained by a Schur… (More)

—This paper considers the synchronization and transient stability analysis in a simple model of a structure-preserving power system. We derive sufficient conditions relating synchronization in a power network directly to the underlying network state, parameters, and topology. In particular, we provide a spectral condition based on the algebraic connectivity… (More)

- Xiaofan Wu, Florian Dörfler, Mihailo R Jovanovi´c
- 2014

— Conventional analysis and control approaches to inter-area oscillations in bulk power systems are based on a modal perspective. Typically, inter-area oscillations are identified from spatial profiles of poorly damped modes, and they are damped using carefully tuned decentralized controllers. To improve upon the limitations of conventional decentralized… (More)

- Florian Dörfler, Mihailo R Jovanovi´c, Michael Chertkov, Francesco Bullo
- 2013

—Inter-area oscillations in bulk power systems are typically poorly controllable by means of local decentralized control. Recent research efforts have been aimed at developing wide-area control strategies that involve communication of remote signals. In conventional wide-area control, the control structure is fixed a priori typically based on modal… (More)

- Hedi Bouattour, Florian Dörfler, Francesco Bullo, Ing Frank Allgöwer
- 2013