A Trajectory Piecewise-Linear Approach to Nonlinear Model Order Reduction of Wind Farms

Ali, Husni Rois; Kunjumuhammed, Linash; Pal, Bikash C.; Adamczyk, A.; Vershinin, K.

doi:10.1109/tste.2019.2912037

Cited by 18 publications

(9 citation statements)

References 26 publications

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“…The non‐linear integral terms in the penalty cost

C_{R C R S}

related to RCRS for the curtailment of solar power and power load, as shown in (7), are challenging to find an effective solution. The piecewise linearization method [24] deals with the non‐linear integral terms in this paper. The piecewise linearization method can transform the non‐linear problem into a MILP problem.…”

Section: Solution Methodsmentioning

confidence: 99%

“…Flexibility constraints The flexible up/down ramp-capability reserves, as formulated in (23) and (24), are provided by existing thermal units, newly built cascaded hydro units, and newly built PHES units. The ramp-capability reserve of thermal units is constrained by ramping limit, maximum power output, and minimum power output of thermal units, as shown in (25).…”

Section: 5mentioning

confidence: 99%

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CVaR‐based generation expansion planning of cascaded hydro‐photovoltaic‐pumped storage system with uncertain solar power considering flexibility constraints

Huang

Liu

et al. 2021

IET Generation Trans & Dist

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The development of a high solar energy penetrated power system requires considerable flexibility to hedge the risk of solar power curtailment and power shortage. This paper explores how the generation portfolio of cascaded hydro-photovoltaic-pumped storage (CH-PV-PS) generation system will be appropriately designed to balance the overall planning costs and operational flexibility constraints. The proposed study relies on the generation expansion planning (GEP) model of the CH-PV-PS system, considering a full set of flexibility constraints. An index designated ramp-capability reserve shortage (RCRS) based on the conditional value at risk (CVaR) method is introduced to quantify the risk of solar power and load uncertainty. The piecewise linearization method and triangle method are developed to accommodate the non-linear terms in the proposed model. Finally, the case studies are conducted to demonstrate the applicability and effectiveness of the proposed model.

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“…The non‐linear integral terms in the penalty cost

C_{R C R S}

Section: Solution Methodsmentioning

confidence: 99%

Section: 5mentioning

confidence: 99%

CVaR‐based generation expansion planning of cascaded hydro‐photovoltaic‐pumped storage system with uncertain solar power considering flexibility constraints

Huang

Liu

et al. 2021

IET Generation Trans & Dist

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“…Digital Object Identifier 10.30941/CESTEMS.2023.00024 [7]- [8] classifies and aggregates wind farms according to turbine types and configuration, but their methods are mainly applicable to power quality analysis. A geometric template matching-based time series aggregation method is proposed in [9], which considered the wind speed and the layout of wind farms.…”

Section: Introductionmentioning

confidence: 99%

Cyber-physical Modeling Technique based Dynamic Aggregation of Wind Farm Considering LVRT Characteristic

Yang

et al. 2023

Trans. Electr. Mach. Syst.

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With the increasing penetration of wind power, large-scale integrated wind turbine brings stability and security risks to the power grid. For the aggregated modeling of large wind farms, it is crucial to consider low voltage ride-through (LVRT) characteristics. However, in aggregation methods, the approximate neglect behavior is essential, which leads to inevitable errors in the aggregation process. Moreover, the lack of parameters in practice brings new challenges to the modeling of a wind farm. To address these issues, a novel cyber-physical modeling method is proposed. This method not only overcomes the aggregation problem under the black-box wind farm but also accurately realizes the aggregation error fitting according to the operation data. The simulation results reveal that the proposed method can accurately simulate the dynamic behaviors of the wind farm in various scenarios, whether in LVRT mode or normal mode.

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“…For Li-Ion batteries, reducedorder electrochemical models were presented in [19]. For complex wind farms, a trajectory piecewise-linear approach was applied to reduce model order in [20]. For large sparse small-signal electromechanical stability power systems, the system parameter preserving model order reduction approach was designed in [21].…”

Section: Introductionmentioning

confidence: 99%

Reduced-Order Aggregate Model for Large-Scale Converters With Inhomogeneous Initial Conditions in DC Microgrids

Wang

Sun

et al. 2021

IEEE Trans. Energy Convers.

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In practical microgrids, the inhomogeneous initial values are widely appeared due to soft-starting operation. If traditional model order reduction approaches are applied, the inputoutput maps error between the original system and reducedorder system is large. To address this problem, this paper proposes a reduced-order aggregate model based on balanced truncation approach to provide the preprocessing approach for the real-time simulation of large-scale converters with inhomogeneous initial conditions in DC microgrid. Firstly, the standard linear time-invariant model with inhomogeneous initial conditions is established through non-leader multiagents concept. To end this, it is convenient for scholars to build complex system modeling with switched topology. Furthermore, the full system is divided into two components, i.e., the unforced component with nontrivial initial conditions and forced component with null initial conditions. Moreover, this paper presents an aggregated approach that involves independent reducing component responses and combining reducing component responses. Based on this, the input-output maps error is reduced. Then, the approximated error estimate of the reduced-order aggregate model regarding large-scale converters in DC microgrid is first provided, which provides prior knowledge and theoretical basis for DC microgrid designers. Finally, the simulation results illustrate the accuracy of the proposed approach.

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A Trajectory Piecewise-Linear Approach to Nonlinear Model Order Reduction of Wind Farms

Cited by 18 publications

References 26 publications

CVaR‐based generation expansion planning of cascaded hydro‐photovoltaic‐pumped storage system with uncertain solar power considering flexibility constraints

CVaR‐based generation expansion planning of cascaded hydro‐photovoltaic‐pumped storage system with uncertain solar power considering flexibility constraints

Cyber-physical Modeling Technique based Dynamic Aggregation of Wind Farm Considering LVRT Characteristic

Reduced-Order Aggregate Model for Large-Scale Converters With Inhomogeneous Initial Conditions in DC Microgrids

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