H&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; and gain scheduled H&lt;inf&gt;&amp;#x221E;&lt;/inf&gt; control for islanded microgrids

Steenis, Joel; Breazeale, Lloyd; Tsakalis, K.

doi:10.1109/ecce.2013.6647317

Cited by 3 publications

(7 citation statements)

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“…These modifications, however, do not consider dynamic controllers with order greater than one, gain scheduled dynamic controllers, and do not use advanced approaches to control design [3]. Recent papers have shown advantages of robust controllers compared to controllers based on classical control theory for controlling inverters in a microgrid [9], [10], [11]. In [10] it was shown that the operating range of a microgrid may be increased from 6% to 14% for variation in all system parameters (line impedances, inverter voltages, etc.)…”

Section: Tsakalis@asuedumentioning

confidence: 99%

“…Recent papers have shown advantages of robust controllers compared to controllers based on classical control theory for controlling inverters in a microgrid [9], [10], [11]. In [10] it was shown that the operating range of a microgrid may be increased from 6% to 14% for variation in all system parameters (line impedances, inverter voltages, etc.) if one uses a dynamic controller rather than a constant gain droop controller.…”

Section: Tsakalis@asuedumentioning

confidence: 99%

“…Figure 15. Note that the details for perturbations in this system are given in Table III. ing Glover McFarlane loopshaping 5 [9], [10], [26]. Glover McFarlane loopshaping is a method used to synthesize a mixed-sensitivity H ∞ controller; the solution is non-iterative and produces well-behaved controllers for a wide class of systems with low requirements for user inputs.…”

Section: Parametermentioning

confidence: 99%

“…This plot is useful for determining the stable operating region when using a given controller or set of controllers. Note that the abscissa of the plot denoted "Parameter Variation", is defined as variation of the nominal parameters in Table II. was implemented using a TI TMS320LF2808 fixed point 32-bit DSP running at 50 MHz as described in [10]. As such the controller and remainder of the code for operating the inverter consumed approximately 98% of the DSP capacity when using a 10 kHz event loop.…”

Section: Parametermentioning

confidence: 99%

“…This is generally misguided when using modern processors which may be used to implement such controllers in hardware. Please see[10] for more information.…”

mentioning

confidence: 99%

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An Approach to Bumpless Control for LPV Modeled Inverters in a Microgrid

Steenis

Tsakalis

2014

IEEE Trans. Power Electron.

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Recent papers have shown advantages of robust controllers compared to controllers based on classical control theory. Further improvements in performance and stable operating range may be realized through the use of multiple robust controllers, but these are typically complicated to synthesize and implement. The complexity is somewhat relaxed for bumpless-transfer controllers, which have appeared in the literature as an ad-hoc gain-scheduling control scheme. The approach is less conservative, easier to synthesize, and easier to implement than a gain scheduled polytopic controller or other interpolation scheme, and has a larger operating range than a nominal controller. In this paper an inverter connected to a microgrid is modeled as a linear parameter varying (LPV) system and bumpless controllers are scheduled using polytopic coordinates and applied to inverters in a microgrid.

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Section: Tsakalis@asuedumentioning

confidence: 99%

Section: Tsakalis@asuedumentioning

confidence: 99%

Section: Parametermentioning

confidence: 99%

Section: Parametermentioning

confidence: 99%

“…This is generally misguided when using modern processors which may be used to implement such controllers in hardware. Please see[10] for more information.…”

mentioning

confidence: 99%

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An Approach to Bumpless Control for LPV Modeled Inverters in a Microgrid

Steenis

Tsakalis

2014

IEEE Trans. Power Electron.

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Control of LPV Modeled AC-Microgrid Based on Mixed H₂/H_∞ Time-Varying Linear State Feedback and Robust Predictive Algorithm

et al. 2022

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This paper presents a robust model predictive control (RMPC) method with a new mixed H2/H∞ linear time-varying state feedback design. In addition, we propose a linear parameter-varying model for inverters in a microgrid (MG), in which disturbances and uncertainty are considered, where the inverters connect in parallel to renewable energy sources (RES). The proposed RMPC can use the gain-scheduled control law and satisfy both the H2 and H∞ proficiency requirements under various conditions, such as disturbance and load variation. A multistep control method is proposed to reduce the conservativeness caused by the unique feedback control law, enhance the control proficiency, and strengthen the RMPC feasible area. Furthermore, a practical and efficient RMPC is designed to reduce the online computational burden. The presented controller can implement load sharing among distributed generators (DGs) to stabilize the frequency and voltage of an entire smart island. The proposed strategy is implemented and studied in a MG with two DG types and various load types. Specifically, through converters, one type of DGs is used to control frequency and voltage, and the other type is used to control current. These two types of DGs operate in a parallel mode. Simulation results show that the proposed RMPCs are input-to-state practically stable (ISpS). Compared with other controllers in the literature, the proposed strategy can lead to minor total harmonic distortion (THD), lower steady-state error, and faster response to system disturbance and load variation.

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Optimal $\mathcal {H}_{\infty }$ Control Design for MMC-Based HVDC Links

Tavakoli

Fekriasl

Prieto‐Araujo

et al. 2022

IEEE Trans. Power Delivery

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The modular multilevel converter (MMC) has emerged as the preferred choice for voltage source converter (VSC)-based high voltage direct current (HVDC) systems due to its low losses, low harmonic distortion, modularity, and redundancy. These advantages come at the expense of a complex control system with the strong coupling among its control variables, which complicates the design procedure of both its individual control loops and the DC link controllers. In fact, the performance improvement of a control loop could lead to degraded performance of other loops. Hence, to deal with such a complex dynamic system, this article suggests adopting multivariable H∞ optimal control techniques in order to ensure stability and optimized performance of a VSC-HVDC link. First, a full-order, centralized multi-input-multi-output (MIMO) controller is derived based on H∞ optimisation and used as a benchmark for the system performance level. Then, a fixedstructure, decentralized MIMO controller is synthesized to make a compromise between the optimal performance and feasibility of practical implementation. Finally, simulations are conducted to evaluate and compare the performance and robustness degradation due to the migration from a high-order, centralized controller towards a low-order, decentralized controller.

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H<inf>∞</inf> and gain scheduled H<inf>∞</inf> control for islanded microgrids

Cited by 3 publications

References 12 publications

An Approach to Bumpless Control for LPV Modeled Inverters in a Microgrid

An Approach to Bumpless Control for LPV Modeled Inverters in a Microgrid

Control of LPV Modeled AC-Microgrid Based on Mixed H₂/H_∞ Time-Varying Linear State Feedback and Robust Predictive Algorithm

Optimal $\mathcal {H}_{\infty }$ Control Design for MMC-Based HVDC Links

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H<inf>&#x221E;</inf> and gain scheduled H<inf>&#x221E;</inf> control for islanded microgrids

Cited by 3 publications

References 12 publications

An Approach to Bumpless Control for LPV Modeled Inverters in a Microgrid

An Approach to Bumpless Control for LPV Modeled Inverters in a Microgrid

Control of LPV Modeled AC-Microgrid Based on Mixed H2/H∞ Time-Varying Linear State Feedback and Robust Predictive Algorithm

Optimal $\mathcal {H}_{\infty }$ Control Design for MMC-Based HVDC Links

Contact Info

Product

Resources

About

H<inf>∞</inf> and gain scheduled H<inf>∞</inf> control for islanded microgrids

Control of LPV Modeled AC-Microgrid Based on Mixed H₂/H_∞ Time-Varying Linear State Feedback and Robust Predictive Algorithm