Controller design, analysis and testing of a three‐phase VSI using IDA–PBC approach

Gupta, Yusuf; Chatterjee, Kishore; Doolla, Suryanarayana

doi:10.1049/iet-pel.2019.0553

Cited by 8 publications

(9 citation statements)

References 44 publications

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“…Interconnection and damping passivity-based control (IDA-PBC) theory is a robust and mathematically well-supported control theory for non-linear systems with Hamiltonian structures [38]. In general, IDA-PBC uses the open-loop Hamiltonian structure of a system to propose a closed-loop structure that preserves the passivity properties in order to design a controller that guarantees operational stability in the sense of Lyapunov [1].…”

Section: Ida-pbc Methodsmentioning

confidence: 99%

Control of Photovoltaic Plants Interconnected via VSC to Improve Power Oscillations in a Power System

et al. 2022

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This paper presents an integrated methodology applied to photovoltaic (PV) plants for improving the dynamic performance of electric power systems. The proposed methodology is based on primary frequency control, which adds an ancillary signal to the voltage reference of the DC-link for the voltage source converter (VSC) in order to reduce power oscillations. This ancillary signal is computed by relating the energy stored in the VSC of the DC-link and the energy stored in the synchronous machine’s shaft. In addition, the methodology considers the operating limits of the VSC, which prioritizes active power over reactive power. Furthermore, the VSC control is assessed with interconnection and damping assignment passivity-based control (IDA-PBC), as well as compared to conventional PI control. IDA-PBC is employed to design a Lyapunov asymptotically stable controller using the Hamiltonian structural properties of the open-loop model of the VSC. A 12-bus test system that considers PV plants is employed to compare the proposed IDA-PBC control with a classical proportional-integral control approach. The impact of the proposed methodology is analyzed in four scenarios with different PV penetration levels (10%, 30%, 50%, and 80%) and four large disturbances in the test power system. In addition, a decrease in the inertia of the synchronous machines from 100 to 25% is analyzed. The time-domain simulation results show that the frequency oscillations are reduced by 16.8%, 38.43%, 37.53%, and 76.94% in comparison with the case where the proposed methodology was not implemented. The simulations were conducted using the SimPowerSystems toolbox of the MATLAB/Simulink software.

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Section: Ida-pbc Methodsmentioning

confidence: 99%

Control of Photovoltaic Plants Interconnected via VSC to Improve Power Oscillations in a Power System

et al. 2022

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“…Content may change prior to final publication. Citation information: DOI 10.1109/ACCESS.2020.3032038, IEEE Access asymptotically converge to zero, according to the Lyapunov stability criterion [30]. Note that, the damping of Rd determines the convergence rate of () e Hx.…”

Section: Conventional Pbc Controllermentioning

confidence: 99%

An Optimized Parameter Design Method for Passivity-Based Control in a LCL-Filtered Grid-Connected Inverter

Chen

et al. 2020

IEEE Access

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Nowadays, the Passivity-Based Control (PBC) has been successfully applied to digitally controlled Grid-Connected Inverter (GCI) with LCL filter. As a nonlinear method, the PBC controller has strong robustness against the parameter drift of the LCL filter and the grid impedance, where the parameters of the PBC controller still need to be designed carefully to achieve a good control performance. The existing design methods are based on separating the PBC controller into three control loops. Therefore, the design process is cumbersome, especially for inexperienced engineers, due to the complex structure of the PBC controller. In this paper, an intelligent Particle Swarm Optimization (PSO) algorithm is utilized to simplify the parameters design of the PBC controller, where the difficulty of manual calculations is avoided and the parameters can be more easily and efficiently obtained using MATLAB in offline mode. Furthermore, a Kalman filter observer is adopted to estimate the state variables in the PBC controller, where only the grid-injected current needs to be sampled in the overall GCI system. Simulations and experiments are provided to verify the correctness and effectiveness of the proposed PBC controller design method. INDEX TERMS grid-connected inverter, Kalman filter, LCL filter, passivity-based control, particle swarm optimization.

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“…The general form of the Port-controlled Hamiltonian with (11) where, x is the state variable matrix, u is the control variable matrix, y is the output variable, J(x) is the interconnection matrix with antisymmetric characteristics, R(x) is the dissipation matrix with symmetric and positive definite, g(x) is a structural matrix that reflects the direct effect of system control variables on state variables, H(x) is the energy storage function of the system.…”

Section: A the Pchd Model Of Movable Multi-load Icpt Systemmentioning

confidence: 99%

“…The PCHD model of the system can be obtained by combining the mathematical model of the system shown in the above equations (10) with the equations (11), where,…”

Section: A the Pchd Model Of Movable Multi-load Icpt Systemmentioning

confidence: 99%

“…The passivity-based control (PBC) method is based on energy shaping and damping injection idea by using the energy dissipation properties of the system under certain considerations [10,11]. The mathematical model of the PBC theory relies on the precise mathematical model of the research objects and the positive definite calculation of parameters to a great extent.…”

Section: Introductionmentioning

confidence: 99%

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Passivity-Based Control for Movable Multi-Load Inductively Coupled Power Transfer System Based on PCHD Model

2020

IEEE Access

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A passivity-based control strategy for movable multi-load inductively coupled power transfer (ICPT) system based on PCHD (Port-Controlled Hamiltonian Dissipation, PCHD) model is proposed, which can effectively suppress mutual inductance and load interference. During the movement of the secondary coil of the movable multi-load ICPT system, due to the change of mutual inductance and the randomness of the multi-load, it will cause the transmission power and efficiency to oscillate and generate harmonics. Firstly, in view of the above problems, this paper analyzes the ICPT system under movable multiple loads. The DQ transformation method was used to establish the large-signal mathematical model of the system, and PCHD mathematical model in the DQ domain was established to decouple the active and reactive power. Secondly, the passivity-based controller (PBC) is designed by using the principle of interconnection and damping assignment passivity-based control (IDA-PBC). After that, the second method of Lyapunov function is used for stability analysis, and further verifies the asymptotic stability of the closed-loop system. Finally, the proposed method was verified by MATLAB/Simulink simulation. The simulation results show that the passivity-based controller has stronger robustness in both steady and movable states compared with the PI controller, which effectively suppresses the oscillation and total harmonic distortion caused by the change of mutual inductances and the randomness of the loads.

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Controller design, analysis and testing of a three‐phase VSI using IDA–PBC approach

Cited by 8 publications

References 44 publications

Control of Photovoltaic Plants Interconnected via VSC to Improve Power Oscillations in a Power System

Control of Photovoltaic Plants Interconnected via VSC to Improve Power Oscillations in a Power System

An Optimized Parameter Design Method for Passivity-Based Control in a LCL-Filtered Grid-Connected Inverter

Passivity-Based Control for Movable Multi-Load Inductively Coupled Power Transfer System Based on PCHD Model

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