Information gap decision theory for voltage stability constrained OPF considering the uncertainty of multiple wind farms

Rabiee, Abbas; Nikkhah, Saman; Soroudi, Alireza; Hooshmand, Ehsan

doi:10.1049/iet-rpg.2016.0509

Cited by 33 publications

(13 citation statements)

References 29 publications

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“…This constraint ensures that the dispatched generators provide the spinning reserve requirements for the microgrid as follows: System under study [20] wind no no yes no no no transmission [25] wind no no yes no no no transmission [26] wind no no yes no no no transmission [27] wind no no yes no no no transmission [28] wind no yes yes no no no transmission [30] wind The spinning reserve requirement for PV system can be formulated by penetration level of PV system. In this model, since PV generation does not have a significant impact on system stability in low PV penetration levels, the spinning reserve requirements in low PV penetration scenarios are similar to the cases without PV system [32].…”

Section: Reserve Constraintmentioning

confidence: 99%

“…Please note that decision makers will be faced with two different strategies, including risk-averse strategy and risk seeker strategy, if the uncertain parameter is different from its expected value. The risk-averse strategy is used in this paper to perform the analysis [26]. In this situation, the uncertainty of the uncertain parameter has a negative effect on the objective function since the uncertainty parameter increases the amount of objective function compared with the base case.…”

Section: Information Gap Decision Theorymentioning

confidence: 99%

“…In addition, Kazemi et al [24] have considered DR in their risk-based bidding of large electric utilities using the IGDT method. In [20,25,26,27], the IGDT handles the uncertainties associated with wind turbines power generation. However, in these papers, daily behaviour of such uncertain parameters is not studied.…”

Section: Introductionmentioning

confidence: 99%

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Risk‐averse energy management system for isolated microgrids considering generation and demand uncertainties based on information gap decision theory

Nasr

Nasr-Azadani

Rabiee

et al. 2019

IET Renewable Power Generation

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There are many technical challenges for integration of renewable energy sources (RESs) in the context of microgrids. Among these challenges, spinning reserve energy management should be accurately considered in the microgrid scheduling system for a better system operation. This study presents a methodology to model and analyse a novel scheme to integrate RESs, particularly photovoltaic (PV) systems, in diesel generation-based isolated microgrids. The proposed approach considers the uncertainties of PV power generation and demand, simultaneously, by solving a bi-level multi-objective optimisation problem using information gap decision theory (IGDT). The proposed energy management system is formulated considering spinning reserve constraints and the uncertainties associated with PV power generation and load, by solving a unit commitment problem. This method, a non-probabilistic approach, does not require the probability density function of uncertain parameters and provides a robust framework to better understand the potential savings due to the PV integration. In order to test and perform the analysis, realistic data from a 20 MW hybrid PV project is used as a case study. Furthermore, the proposed method is compared with probabilistic techniques, such as Monte Carlo simulations and scenario-based stochastic programming technique. The presented studies demonstrate applicability of the proposed model for real microgrids.

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Section: Reserve Constraintmentioning

confidence: 99%

Section: Information Gap Decision Theorymentioning

confidence: 99%

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Risk‐averse energy management system for isolated microgrids considering generation and demand uncertainties based on information gap decision theory

Nasr

Nasr-Azadani

Rabiee

et al. 2019

IET Renewable Power Generation

Self Cite

View full text Add to dashboard Cite

show abstract

“…It adds operating limits in both pre-contingency and post-contingency conditions. The OPF in [26] has additional voltage stability constraints. It puts constraints on voltage difference.…”

Section: Introductionmentioning

confidence: 99%

SOCP Relaxations of Optimal Power Flow Problem Considering Current Margins in Radial Networks

Chen

Xiang

2018

Energies

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Optimal power flow (OPF) is a non-linear and non-convex problem that seeks the optimization of a power system operation point to minimize the total generation costs or transmission losses. This study proposes an OPF model considering current margins in radial networks. The objective function of this OPF model has an additional term of current margins of the line besides the traditional transmission losses and generations costs, which contributes to thermal stability margins of power systems. The model is a reformulated bus injection model with clear physical meanings. Second order cone program (SOCP) relaxations for the proposed OPF are made, followed by the over-satisfaction condition guaranteeing the exactness of the SOCP relaxations. A simple 6-node case and several IEEE benchmark systems are studied to illustrate the efficiency of the developed results.

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“…In [5], the authors studied the impact of variable-speed wind power generation in long-term VS while operating synchronous generators with dynamic reactive power capabilities. In [6], a VS-constrained optimal power flow was presented to determine the required loading margin. In [7], static and dynamic reactive power compensation are used to study the integration with generators, considering a 10% step disturbance in the dynamic load model.…”

Section: Introductionmentioning

confidence: 99%

Dynamic Voltage Stability Comparison of Thermal and Wind Power Generation with Different Static and Dynamic Load Models

Acevedo¹,

Bothia-Vargas²,

Candelo³

2018

IJECE

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This paper presents a static and dynamic voltage stability analysis of a power network with thermal and wind generation considering static and dynamic load models. The thermal plant was modeled as a synchronous machine and the wind farm as a variable speed induction generator based on a doubly-fed induction generator. The load considered the ZIP, exponential recovery, induction motor, and frequency-dependent load models. The bifurcation points were found by continuation power flow and sensitivity analyses. In addition, dynamic voltage stability assessments were performed considering changes in the moment of inertia and the frequency parameters. All simulations were carried out in a 4-bus power system and using the power system analysis toolbox (PSAT) and MATLAB script code. The results show that the thermal generator had difficulties to maintain stability under dynamic load variations and frequency changes, the wind generator had difficulties to maintain voltage for the load with induction motors, and both generators had difficulties when the moment of inertia is increased.

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Information gap decision theory for voltage stability constrained OPF considering the uncertainty of multiple wind farms

Cited by 33 publications

References 29 publications

Risk‐averse energy management system for isolated microgrids considering generation and demand uncertainties based on information gap decision theory

Risk‐averse energy management system for isolated microgrids considering generation and demand uncertainties based on information gap decision theory

SOCP Relaxations of Optimal Power Flow Problem Considering Current Margins in Radial Networks

Dynamic Voltage Stability Comparison of Thermal and Wind Power Generation with Different Static and Dynamic Load Models

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