A Unified Passivity-Based Framework for Control of Modular Islanded AC Microgrids

Strehle, Felix; Malan, Albertus Johannes; Hohmann, Sören; Ferrari-Trecate, Giancarlo

doi:10.1109/tcst.2021.3136489

Cited by 14 publications

(9 citation statements)

References 51 publications

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“…Then, inspired by Strehle et al [8], [45] and Arcak et al [44,Th. 3.1], we take a modular, bottom-up approach and design decentralized passivity-based controllers for the actuated subsystems specified in Problem 1.…”

Section: A Approachmentioning

confidence: 99%

A Unifying Passivity-Based Framework for Pressure and Volume Flow Rate Control in District Heating Networks

Strehle,

Machado,

Cucuzzella

et al. 2024

IEEE Trans. Contr. Syst. Technol.

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A fundamental precondition for the operation of district heating networks (DHNs) is a stable hydraulic behavior. However, the ongoing transition toward a sustainable heat supply, especially the rising integration of distributed heat sources and the increasingly meshed topologies, introduces complex and potentially destabilizing hydraulic dynamics. In this work, we propose a unifying, equilibrium-independent passivity (EIP)based control framework, which guarantees asymptotic stability of any feasible, hydraulic DHN equilibrium for a wide range of DHN setups covering different DHN generations, meshed, time-varying topologies, and multiple, dynamically interacting distributed heat sources. The obtained results hold for the state of the art as well as future DHN generations featuring, for example, multiple distributed heat sources, asymmetric pipe networks, and multiple temperature layers.

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Section: A Approachmentioning

confidence: 99%

A Unifying Passivity-Based Framework for Pressure and Volume Flow Rate Control in District Heating Networks

Strehle,

Machado,

Cucuzzella

et al. 2024

IEEE Trans. Contr. Syst. Technol.

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“…Inspired by [46,Theorem 3.1], [19], [7], we address Problem 1 in a modular, bottom-up manner by means of a passivitybased approach. The leading idea is that the hydraulic equilibrium is stable if two conditions are satisfied: C.1 each, possibly closed-loop subsystem at the edges and nodes of the DHN digraph is EIP with positive definite storage function; C.2 the interconnnection structure of the DHN subsystems is power-preserving.…”

Section: A Approachmentioning

confidence: 99%

“…where we have used the identity PROPOSITION 3 By combining (4) with the controller (17), the closed-loop system (19) follows directly. In order to show that system (19) is EIP with supply rate (d i − di )(z i − zi ) and positive definite storage function H f i in (20), let d i be fixed to an arbitrary equilibrium value di with associated equilibria zi for the output and xf i (see ( 21)) for the state vector. Since xf i satisfies f i (x f i )+ K f i di = 0, we can write (19) equivalently as…”

Section: Appendix B Proof Of Propositionmentioning

confidence: 99%

“…Such decentralized controllers provide scalability and allow for an easy addition or removal of subsystems in a plug-andplay fashion without requiring communication, without adapt-ing the other controllers, and without endangering pressure and volume flow rate stability. Recent works on microgrids (see e.g., [19], [20]) have shown that the compositional properties of passive systems present a promising, unifying framework for designing decentralized controllers and realizing modular energy systems in which topologies change frequently and different controllers interact dynamically via the network.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Port-Hamiltonian Modeling of Hydraulics in 4th Generation District Heating Networks

Strehle

Machado

Cucuzzella

et al. 2022

2022 IEEE 61st Conference on Decision and Control (CDC)

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A fundamental precondition for the secure and efficient operation of district heating networks (DHNs) is a stable hydraulic behavior. However, the ongoing transition towards a sustainable heat supply, especially the rising integration of distributed heat sources and the increasingly meshed topologies, introduce complex and potentially destabilizing hydraulic dynamics. In this work, we propose a unifying, passivity-based framework which guarantees asymptotic stability of any forced hydraulic DHN equilibrium while allowing for meshed, timevarying topologies and different, dynamically interacting distributed heat sources. To establish the desired hydraulic equilibria, we propose decentralized, passivity-based pressure and volume flow rate controllers for the pumps and valves in the actuated DHN subsystems. In particular, we leverage the equilibriumindependent passivity (EIP) properties of the DHN subsystems, the skew-symmetric nature of their interconnections, and LaSalle's Invariance principle to assess asymptotic stability in a modular manner. The obtained results hold for the state-of-theart as well as future DHN generations featuring, for example, multiple distributed heat sources, asymmetric pipe networks, and multiple temperature layers. We verify our findings by means of simulations. * * F. Strehle and J. Machado contributed equally.* * * The work of J.

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“…The work in [13] designs a new controller framework and theoretically proves the closed-loop PH system is passive with the only assumption of the loads being passive, while the remaining step is to bridge the gap between passivity and stability. In recent years, many theoretical works [14], [15] and application works [16]- [18] based on the Interconnection and Damping Assignment Passivity-Based Control (IDA-PBC) [19] method have been reported in the literature, since it can facilitate systematic finding of equilibrium and Lyapunov function. In [15], the microgrid system involving nonlinear load and line dynamics with PI controllers are kept in a desired passivity form, then simply applying the shifted passivity theorem [12] although much limited to a linear interconnection and damping matrices structure to further prove stability without explicitly finding the equilibria.…”

Section: Introductionmentioning

confidence: 99%

Port-Hamiltonian Control of GFM-VSCs With Robust Stable and Uniform Error Dynamics

Wang

2023

IEEE Access

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In this paper, a grid-forming (GFM) control is developed based on the nonlinear Port-Hamiltonian (PH) system theory to systematically achieve tracking control and Lyapunov-based stability by considering the power flow dynamic, voltage and current dynamics of voltage source converters (VSCs) system. The proposed controller is robust to both matched constant and periodic disturbances (e.g., grid voltage/frequency fluctuation, load change, voltage harmonics) and nonlinearities due to structural model uncertainties (e.g., output/line impedance variation, coupling effect). Compared to the conventional linear proportional resonant (PR)-based controller, the proposed PH-based nonlinear controller has uniform transient dynamic performance among different operating conditions in large disturbance rejection scenarios, resulted from the ensured closed-loop (semi)globally stable and uniform error dynamics with design facilitated configurable interconnection and damping matrices fixed by initial settings. Experimental results are presented to demonstrate the effectiveness of the proposed control framework in various working conditions. INDEX TERMS Voltage-source converters (VSC), grid-forming (GFM) control, Port-Hamiltonian (PH) modeling, lyapunov stability, robust control.

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A Unified Passivity-Based Framework for Control of Modular Islanded AC Microgrids

Cited by 14 publications

References 51 publications

A Unifying Passivity-Based Framework for Pressure and Volume Flow Rate Control in District Heating Networks

A Unifying Passivity-Based Framework for Pressure and Volume Flow Rate Control in District Heating Networks

Port-Hamiltonian Modeling of Hydraulics in 4th Generation District Heating Networks

Port-Hamiltonian Control of GFM-VSCs With Robust Stable and Uniform Error Dynamics

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