Fixed-order loop shaping robust controller design for parametric models to damp inter-area oscillations

Abdlrahem, Abdlmnam; Hadidi, Ramtin; Karimi, Alireza; Saraf, Parimal; Makram, Elham B.

doi:10.1016/j.ijepes.2016.12.013

Cited by 9 publications

(5 citation statements)

References 19 publications

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“…The Modulus Optimum (MO) method is a popular technique used to tune the conventional PI control loops for grid-connected VSC [21,22]. A system with one large time constant and many small-time constants can be tuned using the MO method.…”

Section: Pi Controller Tuning Using the Modulus Optimum Methodsmentioning

confidence: 99%

“…The loop-shaping technique is a graphical process to design a controller G C fulfilling the robust performance and stability conditions given in Equations ( 20) and (21). The main idea of the loop shaping technique is to construct an open-loop transfer function, G O = G N G C , to satisfy the criteria given by Equations ( 22) and ( 23) and then to obtain the robust controller, G C = G O /G N .…”

Section: The Loop-shaping Techniquementioning

confidence: 99%

“…These dB magnitude plots can be constructed by using Equations ( 12) and ( 13) respectively; Step2: Construct W f 2 satisfying the constraint given in Equation (14). It is to be noted here that W f 2 provides the uncertainty profile of the perturbed plant transfer functions; Step3: Fit a graph of the dB magnitude of the open-loop transfer function G O , satisfying the constraints given in Equations ( 22) and ( 23 Step6: Check that the nominal stability and robust stability criteria of Equations ( 20) and (21) are satisfied; Step7: Verify that the closed-loop system with the controller is internally stable by direct simulation for pre-selected disturbances or inputs; Step8: Iterate through step 3 to step 7 until acceptable G O and G C are obtained. Note that a robust controller may not exist for all nominal conditions, and if it does, it may not be unique.…”

Section: Graphical Loop Shaping Algorithmmentioning

confidence: 99%

“…A filter transfer function W f 1 is to be chosen to check for the nominal stability and the robust stability criteria of Equations ( 20) and (21). A third-order Butterworth filter that fulfills all of the properties for W f 1 (s) is chosen as…”

Section: Implementation Of Graphical Loop-shaping Algorithm To Vsc Hv...mentioning

confidence: 99%

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Real-Time Implementation of Robust Loop-Shaping Controller for a VSC HVDC System

2021

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Voltage source converter (VSC) based HVDC systems are one of the most promising technologies for high voltage bulk power transmission. The reliability and stability of a VSC-based HVDC system greatly depends on the design of a proper controller for the inner decoupled d-q current loop. One of the major causes of instability in a properly tuned controller is due to system parameter variation. This paper presents the design of a fixed parameter robust controller for the inner decoupled d-q current loop for a VSC-based HVDC system to deal with the uncertainties due to system parameter variations. The method of multiplicative uncertainty is employed in the robust design to model the variations in the system parameters. The robust control design was realized through a graphical procedure known as the loop-shaping technique. The graphical loop shaping technique is a much simpler and more straightforward method compared to the traditional H∞-based algorithms for robust controller design. The designed robust controller was experimentally verified using a real-time hardware in loop (HIL) system and was tested on a VSC HVDC system. The performance of the designed robust controller is compared to that of a traditional PI controller. It has been observed that a classical PI controller is effective for a given operating point, and its performance deteriorates when the operating point changes or when the system parameters change. The studies conducted using real-time hardware in the loop (HIL) system prove that the designed loop-shaping-based robust controller provides very good performance and stability for a wide range of system parameter variations, such as changes in resistance and the inductance of the VSC HVDC system compared to the PI controller tuned using conventional methods.

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Section: Pi Controller Tuning Using the Modulus Optimum Methodsmentioning

confidence: 99%

Section: The Loop-shaping Techniquementioning

confidence: 99%

Section: Graphical Loop Shaping Algorithmmentioning

confidence: 99%

Section: Implementation Of Graphical Loop-shaping Algorithm To Vsc Hv...mentioning

confidence: 99%

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Real-Time Implementation of Robust Loop-Shaping Controller for a VSC HVDC System

2021

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“…Recently, researchers have investigated H2, H ∞ optimizations [6] [7] [8] and µ-synthesis [9] in power systems to design a robust controller. These approaches are mainly used to improve power system stability and damp power system oscillations.…”

Section: Introductionmentioning

confidence: 99%

A Multi-Model Approach to Design a Robust SVC Damping Controller Using Convex Optimization Technique to Enhance the Damping of Inter-Area Oscillations Considering Time Delay

Abdlrahem¹,

Albalawi²

2017

EPE

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This paper introduces a multi-model approach to design a robust supplementary damping controller. The designed fixed-order supplementary damping controller adjusts the voltage reference set point of SVC. There are two main objectives of the controller design, damping low frequencies oscillations and enhancing power system stability. This method relies on shaping the closed-loop sensitivity functions in the Nyquist plot under the constraints of these functions. These constraints can be linearized by choosing a desired open-loop transfer function. The robust controller is designed to minimize the error between the open-loop of the original plant model and the desired transfer functions. These outcomes can be achieved by using convex optimization methods. Convexity of the problem formulation ensures global optimality. One of the advantages of the proposed approach is that the approach accounts for multi-model uncertainty. In contrast to the methods available in the literature, the proposed approach deals with full-order model (i.e., model reduction is not required) with lower controller order. The issue of time delay of feedback signals has been addressed in this paper for different values of time delay by applying a multi-model optimization technique. The proposed approach is compared to other existing techniques to design a robust controller which is based on H 2 under pole placement. Both techniques are applied to the 68-bus system to evaluate and validate the robust controller performance under different load scenarios and different wind generations.

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A Coordinated Robust Damping Scheme of STATCOM and Wind Farm Based on $${\varvec{H}}_{2}$$/$${\varvec{H}}_{\infty }$$ Control Considering Communication Delays

Sadiq,

Shan,

Wang

2024

Lecture Notes in Electrical Engineering

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Fixed-order loop shaping robust controller design for parametric models to damp inter-area oscillations

Cited by 9 publications

References 19 publications

Real-Time Implementation of Robust Loop-Shaping Controller for a VSC HVDC System

Real-Time Implementation of Robust Loop-Shaping Controller for a VSC HVDC System

A Multi-Model Approach to Design a Robust SVC Damping Controller Using Convex Optimization Technique to Enhance the Damping of Inter-Area Oscillations Considering Time Delay

A Coordinated Robust Damping Scheme of STATCOM and Wind Farm Based on $${\varvec{H}}_{2}$$/$${\varvec{H}}_{\infty }$$ Control Considering Communication Delays

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