Comparison of H∞, H2, and pole optimization for power system oscillation damping with remote renewable generation

Mešanović, Amer; Münz, Ulrich; Heyde, Chris

doi:10.1016/j.ifacol.2016.10.727

Cited by 23 publications

(23 citation statements)

References 8 publications

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“…5 and the associated criteria may not be sensible optimization objectives. Rather these approaches parameterize the inertia allocation in terms of system norms measuring the amplification of disturbances to selected performance outputs in terms of the H 2 [110], [208], [209] the H 1 metric [210], [211], or combinations thereof with time-domain metrics [212].…”

Section: Inertia Placementmentioning

confidence: 99%

Foundations and Challenges of Low-Inertia Systems (Invited Paper)

Milano

Dörfler

Hug

et al. 2018

2018 Power Systems Computation Conference (PSCC)

660

504

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The electric power system is currently undergoing a period of unprecedented changes. Environmental and sustainability concerns lead to replacement of a significant share of conventional fossil fuel-based power plants with renewable energy resources. This transition involves the major challenge of substituting synchronous machines and their well-known dynamics and controllers with power electronics-interfaced generation whose regulation and interaction with the rest of the system is yet to be fully understood. In this article, we review the challenges of such low-inertia power systems, and survey the solutions that have been put forward thus far. We strive to concisely summarize the laidout scientific foundations as well as the practical experiences of industrial and academic demonstration projects. We touch upon the topics of power system stability, modeling, and control, and we particularly focus on the role of frequency, inertia, as well as control of power converters and from the demand-side.

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Section: Inertia Placementmentioning

confidence: 99%

Foundations and Challenges of Low-Inertia Systems (Invited Paper)

Milano

Dörfler

Hug

et al. 2018

2018 Power Systems Computation Conference (PSCC)

660

504

View full text Add to dashboard Cite

show abstract

“…A popular research topic in recent years [11], [12], [13], [14], [15], [16], [17] has been the application of global metrics from robust control to this kind of synchronization dynamics, as a tool to shed light on the role of various parameters, e.g. system inertia.…”

Section: A a Family Of Heterogeneous Machinesmentioning

confidence: 99%

“…More recently, a trend in control of power systems has aimed to quantify synchronization performance in terms of global system metrics such as H 2 or H ∞ [11], [12], [13], [14], [15], [16], [17]. These norms capture the effect of system parameters, such as inertia, damping, and the eigenvalues of the network (Laplacian) matrix, on system performance.…”

Section: Introductionmentioning

confidence: 99%

Global performance metrics for synchronization of heterogeneously rated power systems: The role of machine models and inertia

Paganini

Mallada

2017

2017 55th Annual Allerton Conference on Communication, Control, and Computing (Allerton)

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A recent trend in control of power systems has sought to quantify the synchronization dynamics in terms of a global performance metric, compute it under very simplified assumptions, and use it to gain insight on the role of system parameters, in particular, inertia. In this paper, we wish to extend this approach to more realistic scenarios, by incorporating the heterogeneity of machine ratings, more complete machine models, and also to more closely map it to classical power engineering notions such as Nadir, Rate of Change of Frequency (RoCoF), and inter-area oscillations.We consider the system response to a step change in power excitation, and define the system frequency as a weighted average of generator frequencies (with weights proportional to each machine's rating); we characterize Nadir and RoCoF by the L∞ norm of the system frequency and its derivative, respectively, and inter-areas oscillations by the L2 norm of the error of the vector of bus frequencies w.r.t. the system frequency.For machine models where the dynamic parameters (inertia, damping, etc.) are proportional to rating, we analytically compute these norms and use them to show that the role of inertia is more nuanced than in the conventional wisdom. With the classical swing dynamics, inertia constant plays a secondary role in performance. It is only when the turbine dynamics are introduced that the benefits of inertia become more prominent.

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“…Some bounds on heterogenous systems are given in[11],[14]. Numerical studies with heterogeneity are given in[12].…”

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confidence: 99%

Global Analysis of Synchronization Performance for Power Systems: Bridging the Theory-Practice Gap

Paganini

Mallada

2020

IEEE Trans. Automat. Contr.

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The issue of synchronization in the power grid is receiving renewed attention, as new energy sources with different dynamics enter the picture. Global metrics have been proposed to evaluate performance, and analyzed under highly simplified assumptions. In this paper we extend this approach to more realistic network scenarios, and more closely connect it with metrics used in power engineering practice. In particular, our analysis covers networks with generators of heterogeneous ratings and richer dynamic models of machines. Under a suitable proportionality assumption in the parameters, we show that the step response of bus frequencies can be decomposed in two components. The first component is a system-wide frequency that captures the aggregate grid behavior, and the residual component represents the individual bus frequency deviations from the aggregate.Using this decomposition, we define -and compute in closed form-several metrics that capture dynamic behaviors that are of relevance for power engineers. In particular, using the system frequency, we define industry-style metrics (Nadir, RoCoF) that are evaluated through a representative machine. We further use the norm of the residual component to define a synchronization cost that can appropriately quantify inter-area oscillations. Finally, we employ robustness analysis tools to evaluate deviations from our proportionality assumption. We show that the system frequency still captures the grid steady-state deviation, and becomes an accurate reduced-order model of the grid as the network connectivity grows.Simulation studies with practically relevant data are included to validate the theory and further illustrate the impact of network structure and parameters on synchronization. Our analysis gives conclusions of practical interest, sometimes challenging the conventional wisdom in the field. arXiv:1905.06948v1 [cs.SY] 16 May 2019Of course, other models are possible within this framework. We make the following assumption:Assumption 1. The transfer function g i (s) is stable (has all its poles in Re(s) < 0) and strictly positive real, i.e. Re[g i (jω)] > 0 for all ω ∈ R.This assumption implies that stability of the system, whichever the network.

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Comparison of H∞, H2, and pole optimization for power system oscillation damping with remote renewable generation

Cited by 23 publications

References 8 publications

Foundations and Challenges of Low-Inertia Systems (Invited Paper)

Foundations and Challenges of Low-Inertia Systems (Invited Paper)

Global performance metrics for synchronization of heterogeneously rated power systems: The role of machine models and inertia

Global Analysis of Synchronization Performance for Power Systems: Bridging the Theory-Practice Gap

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