Robust Nonlinear Controller Design for Three-Phase Grid-Connected Photovoltaic Systems Under Structured Uncertainties

Mahmud, M. A.; Hossain, M. J.; Pota, H. R.; Roy, N. K.

doi:10.1109/tpwrd.2014.2309594

Cited by 71 publications

(32 citation statements)

References 29 publications

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“…Moreover, inverters find extensive use in HVDCs (High Voltage DC) lines and in their connection with the rest of the AC electric power network [7]. Indicative results on nonlinear control of inverters with the use of feedback linearization methods can be found in [8][9][10]. In the same direction, the present paper proposes a method for inverters control, based on differential flatness theory and on a new nonlinear filtering method under the name Derivative-free nonlinear Kalman Filter.…”

Section: Introductionmentioning

confidence: 92%

Nonlinear Control of the Three-Phase Inverter using the Derivative-Free Nonlinear Kalman Filter

Rigatos¹,

Siano

Zervos³

et al. 2015

11th IET International Conference on AC and DC Power Transmission

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The use of three-phase voltage inverters (DC to AC converters) is frequently met in the electric power system, such as in the connection of photovoltaics with the rest of the grid. The paper proposes a nonlinear feedback control method for three-phase inverters, which is based on differential flatness theory and a new nonlinear filtering method under the name Derivative-free nonlinear Kalman Filter. First, it is shown that the inverter's dynamic model is a differentially flat one. This means that all its state variables and the control inputs can be written as functions of a single algebraic variable which is the flat output. By exploiting differential flatness properties it is shown that the inverter's model can be transformed to the linear canonical (Brunovsky's) form. For the latter description, the design of a state feedback controller becomes possible, e.g. using pole placement methods. Moreover, to estimate the nonmeasurable state variables of the linearized equivalent model of the inverter, the Derivative-free nonlinear Kalman Filter is used. This consists of the Kalman Filter recursion applied on the linearized inverter's model and of an inverse transformation that is based on differential flatness theory, which enables to compute estimates of the state variables of the initial nonlinear system. Furthermore, by redesigning the aforementioned filter as a disturbance observer it becomes also possible to estimate disturbance terms that affect the inverter and subsequently to compensate for them. The performance and disturbance rejection capability of the proposed nonlinear feedback control scheme is evaluated through simulation experiments.

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Section: Introductionmentioning

confidence: 92%

Nonlinear Control of the Three-Phase Inverter using the Derivative-Free Nonlinear Kalman Filter

Rigatos¹,

Siano

Zervos³

et al. 2015

11th IET International Conference on AC and DC Power Transmission

View full text Add to dashboard Cite

show abstract

“…However, if it is partially converted into a linear system then it is known to be partial feedback linearization. PFL controller is implemented in [104,[106][107][108][109]. In PFL, it is difficult to ensure the stability of complicated renewable energy system applications.…”

Section: Partial Feedback Controllersmentioning

confidence: 99%

Digital Control Techniques Based on Voltage Source Inverters in Renewable Energy Applications: A Review

et al. 2018

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Abstract:In the modern era, distributed generation is considered as an alternative source for power generation. Especially, need of the time is to provide the three-phase loads with smooth sinusoidal voltages having fixed frequency and amplitude. A common solution is the integration of power electronics converters in the systems for connecting distributed generation systems to the stand-alone loads. Thus, the presence of suitable control techniques, in the power electronic converters, for robust stability, abrupt response, optimal tracking ability and error eradication are inevitable. A comprehensive review based on design, analysis, validation of the most suitable digital control techniques and the options available for the researchers for improving the power quality is presented in this paper with their pros and cons. Comparisons based on the cost, schemes, performance, modulation techniques and coordinates system are also presented. Finally, the paper describes the performance evaluation of the control schemes on a voltage source inverter (VSI) and proposes the different aspects to be considered for selecting a power electronics inverter topology, reference frames, filters, as well as control strategy.

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“…It indicates that

\overset{z}{true} = 0

at steady states. Moreover, to ensure the stability of the linearized system,

\overset{z}{true} = \overset{ϕ}{true} ((), \overset{false˜}{bold-italicx})

should be finely chosen to satisfy the conditions as shown below:

({, \begin{array}{c} L_{g 1} \overset{ϕ}{true} ((), \overset{false˜}{bold-italicx}) = 0 \\ L_{g 2} \overset{ϕ}{true} ((), \overset{false˜}{bold-italicx}) = 0 \end{array})

…”

Section: State Feedback Linearizing Controller Designmentioning

confidence: 99%

Nonlinear controller based on state feedback linearization for series-compensated DFIG-based wind power plants to mitigate sub-synchronous control interaction

Wang

et al. 2018

Int Trans Electr Energ Syst

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Summary This paper proposes a nonlinear controller based on state feedback linearization (SFL) method to mitigate sub‐synchronous control interaction (SSCI) in series‐compensated doubly fed induction generator (DFIG)‐based wind power plants (WPPs). To make full use of the converter control of DFIG, the SFL controller is developed for both grid side converter (GSC) and rotor side converter (RSC) through four necessary steps, ie, assessment of the feedback linearizability, coordinate transformation, feedback linearization, and derivation of control laws. The stability of the internal dynamics, which is not transformed into linear autonomous subsystems in the design process of the RSC controller, is ensured by the application of zero‐dynamic theory. A 100‐MW DFIG‐based WPP adapted from the IEEE first benchmark model is utilized to evaluate the effectiveness of the SFL damping controller at different wind speeds and compensation levels, and the capability of the proposed controller in mitigating SSCI is compared with a well‐tuned proportional‐integral controller and a conventional SSCI damping controller. The superior performance of the SFL controller is demonstrated at varied operating conditions through frequency scanning analysis, eigenvalue analysis, and electromagnetic transient simulation. Moreover, the robust stability of the proposed controller is guaranteed under parameter uncertainties using μ analysis.

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Robust Nonlinear Controller Design for Three-Phase Grid-Connected Photovoltaic Systems Under Structured Uncertainties

Cited by 71 publications

References 29 publications

Nonlinear Control of the Three-Phase Inverter using the Derivative-Free Nonlinear Kalman Filter

Nonlinear Control of the Three-Phase Inverter using the Derivative-Free Nonlinear Kalman Filter

Digital Control Techniques Based on Voltage Source Inverters in Renewable Energy Applications: A Review

Nonlinear controller based on state feedback linearization for series-compensated DFIG-based wind power plants to mitigate sub-synchronous control interaction

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