Harmonic modelling of PV systems for probabilistic harmonic load flow studies

Ruíz-Rodríguez, F.J.; Hernández, Jesús C.; Jurado, Francisco

doi:10.1002/cta.2021

Cited by 33 publications

(21 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Apply Equations (12) and (13) in load flow Equation (11) to obtain the PLF model, which is also called the residual PLF equations in the SG method. Express the residual equations in a vector-matrix form:…”

Section: Construct Galerkin System Of Plf Based On Gpcmentioning

confidence: 99%

Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow

Sun

Mao

et al. 2016

Energies

View full text Add to dashboard Cite

An intrusive spectral method of probabilistic load flow (PLF) is proposed in the paper, which can handle the uncertainties arising from renewable energy integration. Generalized polynomial chaos (gPC) expansions of dependent random variables are utilized to build a spectral stochastic representation of PLF model. Instead of solving the coupled PLF model with a traditional, cumbersome method, a modified stochastic Galerkin (SG) method is proposed based on the P-Q decoupling properties of load flow in power system. By introducing two pre-calculated constant sparse Jacobian matrices, the computational burden of the SG method is significantly reduced. Two cases, IEEE 14-bus and IEEE 118-bus systems, are used to verify the computation speed and efficiency of the proposed method.

show abstract

Section: Construct Galerkin System Of Plf Based On Gpcmentioning

confidence: 99%

Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow

Sun

Mao

et al. 2016

Energies

View full text Add to dashboard Cite

show abstract

“…The doubly fed induction generator (DFIG) wind turbines dominate the multi-megawatt power market of the wind energy conversion systems due to its cost-effective, variable-speed operation and maximum wind power capture [8]. The future smart grid aggregates different distributed generations with dynamical local loads, which creates unbalanced voltage conditions [9,10]. Some DFIGs are also installed in rural areas, which are prone to voltage sags, faults, and unbalances.…”

Section: Introductionmentioning

confidence: 99%

Controller saturation nonlinearity in doubly fed induction generator‐based wind turbines under unbalanced grid conditions

Wong

Tse

et al. 2015

Circuit Theory & Apps

View full text Add to dashboard Cite

Doubly fed induction generator (DFIG) is widely used in wind energy generation systems due to its costeffective, partially rated back-to-back power converters, variable rotor speed operation, and maximum wind power capture. The conventional design assumes balanced grid voltage and utilizes power protection for the power converters. The DFIG wind turbine is naturally one of the major components in distributed generations of the smart grid system. However, newly developed smart grid system is rich in unbalanced loads. This paper summarizes the limiter settings of controllers and explores the nonlinear behaviors of the DFIG-based wind power generation system with unbalanced loads. The generator rotor speed and an unbalanced load resistance are chosen as variation parameters. An emerging low-frequency linear-modulated oscillation at line second harmonic frequency with DC drifting is identified on the DC link voltage of the back-to-back power converters. In terms of second harmonic and the usually reported hazardous low-frequency oscillation, the saturation nonlinearity and over-modulation of the back-to-back power converter and its power flow are investigated and analyzed. The built-in detailed model of the DFIG wind energy generation system in MATLAB with SimPowerSystems library is used in this study.

show abstract

“…Three-phase unbalanced conditions are readily observed in a microgrid system [1][2][3][4][5][6][7] that incurs loss and potentially leads to stability issues [8][9][10][11][12][13][14][15]. Three-phase unbalanced conditions are readily observed in a microgrid system [1][2][3][4][5][6][7] that incurs loss and potentially leads to stability issues [8][9][10][11][12][13][14][15].…”

Section: Introductionmentioning

confidence: 99%

Modeling of unbalanced three‐phase driving‐point impedance with application to control of grid‐connected power converters

Wong

Tse

et al. 2015

Circuit Theory & Apps

View full text Add to dashboard Cite

The dq transformation is widely used in the analysis and control of three-phase symmetrical and balanced systems. The transformation is the real counterpart of the complex transformations derived from the symmetrical component theory. The widespread distributed generation and dynamically connected unbalanced loads in a three-phase system inherently create unbalanced voltages to the point of common coupling. The unbalanced voltages will always be transformed as coupled positive-sequence and negative-sequence components with double-frequency ripples that can be removed by some filtering algorithms in the dq frame. However, a technique for modeling unbalanced three-phase impedance between voltages and currents of same sequences or of opposite sequences is still missing. We propose an effective method for modeling unbalanced three-phase impedance using a decoupled zero-sequence impedance and two interacting positive-sequence and negative-sequence balanced impedances in the dq frame. The proposed method can decompose a system with unbalanced resistance, inductance, or capacitance into a combination of independent reciprocal bases (IRB). Each IRB basis belongs to one of the positive-sequence, negative-sequence, or zero-sequence system components to facilitate further analysis. The effectiveness of this approach is verified with a case study of an unbalanced load and another case study of an unbalanced voltage compensator in a microgrid application.

show abstract

Harmonic modelling of PV systems for probabilistic harmonic load flow studies

Cited by 33 publications

References 56 publications

Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow

Constant Jacobian Matrix-Based Stochastic Galerkin Method for Probabilistic Load Flow

Controller saturation nonlinearity in doubly fed induction generator‐based wind turbines under unbalanced grid conditions

Modeling of unbalanced three‐phase driving‐point impedance with application to control of grid‐connected power converters

Contact Info

Product

Resources

About