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Estimating Wind Turbine Parameters and Quantifying Their Effects on Dynamic Behavior
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IEEE does not in any way imply IEEE endorsement of any of Power Systems
This article has been accepted for inclusion in a future issue of this journal. Content is final as presented, with the exception of pagination. IEEE TRANSACTIONS ON POWER SYSTEMS 1 Robust Stability Assessment in the Presence of Load Dynamics Uncertainty
"... Abstract—Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural variability of load models make the stability assessment especially difficult and may compromise the security of the s ..."
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Abstract—Dynamic response of loads has a significant effect on system stability and directly determines the stability margin of the operating point. Inherent uncertainty and natural variability of load models make the stability assessment especially difficult and may compromise the security of the system. We propose a novel mathematical “robust stability ” criterion for the assessment of smallsignal stability of operating points. Whenever the criterion is satisfied for a given operating point, it provides mathematical guarantees that the operating point will be stable with respect to small disturbances for any dynamic response of the loads. The criterion can be naturally used for identification of operating regions secure from the occurrence of Hopf bifurcation. Several possible applications of the criterion are discussed, most importantly the concept of robust stability assessment (RSA), that could be integrated in dynamic security assessment packages and used in contingency screening and other planning and operational studies. Index Terms—Bifurcation, dynamics, modeling, power system simulation, power system stability, robustness, uncertainty. I.
A Framework for Robust Assessment of Power Grid Stability and Resiliency
"... Abstract—Security assessment of largescale, strongly nonlinear power grids containing thousands to millions of interacting components is an extremely computationally expensive task. Targeting at reducing this computational cost, this paper introduces a framework for constructing a robust assessme ..."
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Abstract—Security assessment of largescale, strongly nonlinear power grids containing thousands to millions of interacting components is an extremely computationally expensive task. Targeting at reducing this computational cost, this paper introduces a framework for constructing a robust assessment toolbox that can provide mathematically rigorous certificates of the grids’ stability with respect to the variations in system parameters and the grids ’ ability to withstand a bunch sources of faults. By this toolbox we can “offline ” screen a wide range of contingencies in practice, without reassessing the system stability on a regular basis. In particular, we formulate and solve two novel robust stability and resiliency problems of power grids subject to the uncertainty in equilibrium points and uncertainty in faulton dynamics. Furthermore, we bring in the quadratic Lyapunov functions approach to transient stability assessment, offering realtime construction of stability/resiliency certificates and realtime stability assessment. The effectiveness of these certificates and techniques is numerically illustrated.
Parts I and II Project Team
"... conducting research on challenges facing the electric power industry and educating the next generation of power engineers. More information about PSERC can be found at the ..."
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conducting research on challenges facing the electric power industry and educating the next generation of power engineers. More information about PSERC can be found at the
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"... Load modelling is a perennial source of consternation. Postmortem analyses of disturbances frequently conclude that load models must be adjusted to achieve an adequate match between Start typing measured here with andthe simulated summary behaviour. (about 500 words; However Times, thesize developme ..."
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Load modelling is a perennial source of consternation. Postmortem analyses of disturbances frequently conclude that load models must be adjusted to achieve an adequate match between Start typing measured here with andthe simulated summary behaviour. (about 500 words; However Times, thesize development 11) of load models that are accurate over a wide range of system conditions requires, 1) testing that is undesirable for customers, and/or 2) measurement of behaviour during infrequent disturbances. Furthermore, the stochastic nature of many loads implies load models that are accurate at one time may be inaccurate a short time later. In terms of quantitative analysis, for example matching simulations with measurements, it is absolutely clear that accurate load modelling is vitally important. But for qualitative investigations, where the aim is to assess the likelihood of a certain disturbance scenario remaining stable or causing instability, then the need for accurate load modelling is much reduced. The paper explores this conjecture through the use of trajectory sensitivity concepts. It is shown that for qualitative assessment, it is more important to know the sensitivity of behaviour to load parameters, than to precisely know the parameter values. However most power system failures are not initiated by instability, but rather by reactionary (unanticipated) protection operation. The ability to predict operation of protection devices, and hence potential protectioninduced cascading failures, may be greatly affected by load model fidelity.
Dynamics of Type3 Wind Turbine Generator Models
"... Abstract—The influence of wind turbine generators (WTGs) on power system dynamic performance is becoming increasingly important as wind generation grows. The dynamic behavior of WTGs should therefore be thoroughly understood. The paper analyzes dynamic models of type3 WTGs, and in particular the WE ..."
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Abstract—The influence of wind turbine generators (WTGs) on power system dynamic performance is becoming increasingly important as wind generation grows. The dynamic behavior of WTGs should therefore be thoroughly understood. The paper analyzes dynamic models of type3 WTGs, and in particular the WECC generic model. The behavior of such models is governed by interactions between the continuous dynamics of state variables, and discrete events associated with limits. It is shown that these interactions can be quite complex, and may lead to switching deadlock that prevents continuation of the trajectory. Switching hysteresis is proposed for eliminating deadlock situations. Various type3 WTG models include control blocks that duplicate integrators. It is shown that this leads to nonuniqueness in the conditions governing steadystate, and may result in pre and postdisturbance equilibria not coinciding. It also gives rise to a zero eigenvalue in the linearized WTG model. Index Terms—Hybrid dynamical systems, singular systems, small disturbance analysis, switching deadlock, wind turbine generator modeling. I.
VALUEADDED SIMULATION OF HYBRID SYSTEMS
"... Abstract — Analytical investigations of realworld, hybrid dynamical systems are technically challenging. Consequently, simulation plays a vital role in their analysis. Simulation typically addresses forward problems though, offering limited insights into parametric influences. The paper addresses t ..."
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Abstract — Analytical investigations of realworld, hybrid dynamical systems are technically challenging. Consequently, simulation plays a vital role in their analysis. Simulation typically addresses forward problems though, offering limited insights into parametric influences. The paper addresses this issue, presenting computationally efficient algorithms that extend the capabilities of simulation. The starting point is a model that captures the intricacies of hybrid systems, yet is suited to numerical integration. It will be shown that trajectory sensitivities are well defined for hybrid systems, and can be computed efficiently. These sensitivities allow the mapping of parameter uncertainty into approximate error bounds on nominal (piecewise smooth) trajectories. Furthermore, they provide gradient information that facilitates the solution of inverse problems. A range of problems will be considered, including shooting methods for locating (possibly nonsmooth) limit cycles and grazing phenomena, and optimization algorithms for parameter estimation and controller tuning.
Network Topology Estimation through Synchronization: A Case Study on Quantum Dot CNN
"... Abstract — The reconstruction of the links among coupled dynamical systems can be handled in many ways. One of them is through synchronization, building a system composed by a “mirror ” network and by evolution equations for the links of interest, in such a way that the two networks will synchronize ..."
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Abstract — The reconstruction of the links among coupled dynamical systems can be handled in many ways. One of them is through synchronization, building a system composed by a “mirror ” network and by evolution equations for the links of interest, in such a way that the two networks will synchronize if and only if the links are correctly estimated. A procedure based on this idea to estimate the topology of a network of interacting objects when the state variables are known is already present in literature, and here it is extended to systems ruled by implicit differential equations, to better suit some actual cases arising, in particular, in electric and electronic systems. The developed method is applied to a case of practical interest: the test of connections in a nanoscale device, introduced in the literature as “quantum dot cellular neural network”, which can be easily produced in a selfassembled way. The whole iter has some steps sensitive to errors which can lead to a final device where the links among the “dots ” are different from the desired ones. Our interest is in applying the method to detect such bad links. I.
Digital Repository @ Iowa State University
, 2014
"... Theoretical foundations for finitetime transient stability and sensitivity analysis of power systems ..."
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Theoretical foundations for finitetime transient stability and sensitivity analysis of power systems