Energy and Reserve Scheduling Under Wind Power Uncertainty: An Adjustable Interval Approach

Doostizadeh, Meysam; Aminifar, Farrokh; Ghasemi, Hassan; Lesani, Hamid

doi:10.1109/tsg.2016.2572639

Cited by 64 publications

(35 citation statements)

References 25 publications

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“…f min i is the fuel cost corresponding to the minimum output of the unit i. K i,t,m is the slope of the unit i at the segment m in period t. P i,t,m is the output of unit i at the segment m in period t. Binary variables u i,t and v i,t are introduced to linearize C SU i,t in Equation (6). u i,t is the start-up status variable, for which 1 means that the unit is in the boost process.…”

Section: Objectivementioning

confidence: 99%

“…Thus, Equation (6) can be transformed into the linear expression shown in Equation (8): Figure 2 shows the probability density distribution curve of wind power, in which w t , w t and w t represent the scheduled wind power, upper and lower bound of confidence interval at time t, respectively. in Equation (6). ui,t is the start-up status variable, for which 1 means that the unit is in the boost process.…”

Section: Objectivementioning

confidence: 99%

“…IO generates the upper and lower boundaries of generation dispatch. It requires less computation, but the results are still conservative and not precise enough [6].…”

Section: Introductionmentioning

confidence: 99%

“…It can be seen that the economic cost and risk of the solutions vary with the confidence levels. A wind power adjustable interval based model for scheduling the energy and reserve is proposed in [6], and it shows better performance than traditional models based on prediction intervals. However, it is pointed out in [14] that this study regards wind power unschedulable and it uses a Gaussian distribution to simulate wind power uncertainty, which may lead to a more expensive schedule.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

Optimization Scheduling Method for Power Systems Considering Optimal Wind Power Intervals

2018

Energies

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Wind power intervals with different confidence levels have an impact on both the economic cost and risk of dispatch plans for power systems with wind power integration. The higher the confidence level, the greater the bandwidth of corresponding intervals. Thus, more reserves are needed, resulting in higher economic cost but less risk. In order to balance the economic cost and risk, a unit commitment model based on the optimal wind power confidence level is proposed. There are definite integral terms in the objective function of the model, and both the integrand function and integral upper/lower bound contain decision variables, which makes it difficult to solve this problem. The objective function is linearized and solved by discretizing the wind power probability density function and using auxiliary variables. On the basis, a rolling dispatching model considering the dynamic regulation costs among multiple rolling plans is established. In addition to balancing economic cost and risk, it can help to avoid repeated regulations among different rolling plans. Simulations are carried on a 10-units system and a 118-bus system to verify the effectiveness of the proposed models.

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Section: Objectivementioning

confidence: 99%

Section: Objectivementioning

confidence: 99%

“…IO generates the upper and lower boundaries of generation dispatch. It requires less computation, but the results are still conservative and not precise enough [6].…”

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Optimization Scheduling Method for Power Systems Considering Optimal Wind Power Intervals

2018

Energies

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“…On the one hand, wind power output is featured by volatility and anti-peak. Therefore, how to deal with the impact of wind power penetration on the economic dispatch of the power system is a valuable topic that deserves further study [1][2][3][4]. On the other hand, the links between regional power grids are getting closer and closer through the ultrahigh voltage (UHV) DC transmission, and meanwhile the requirements for the communication capabilities of power grids are getting higher and higher accordingly.…”

Section: Introductionmentioning

confidence: 99%

A Distributed Robust Dispatch Approach for Interconnected Systems with a High Proportion of Wind Power Penetration

Ren

Wang

2018

Energies

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This paper proposes a distributed robust dispatch approach to solve the economic dispatch problem of the interconnected systems with a high proportion of wind power penetration. First of all, the basic principle of synchronous alternating direction method of multipliers (SADMM) is introduced to solve the economic dispatch problem of the two interconnected regions. Next, the polyhedron set of the robust optimization method is utilized to describe the wind power output. To adjust the conservativeness of the polyhedron set, an adjustment factor of robust conservativeness is introduced. Subsequently, considering the operation characteristics of the DC tie line between the interconnected regions, an economic dispatch model with a high proportion of wind power penetration is established and parallel iteration based on SADMM is used to solve the model. In each iteration, the optimized power of DC tie lines is exchanged between the regions without requiring the participation of the superior dispatch center. Finally, the validity of the proposed model is verified by the examples of the 2-area 6-node interconnected system and the interconnection of several modified New England 39-node systems. The results show that the proposed model can meet the needs of the independent dispatch of regional power grids, effectively deal with the uncertainty of wind power output, and maximize the wind power consumption under the condition of ensuring the safe operation of the interconnected systems.

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Stochastic very short‐term economic dispatch for wind power operation using flexible ramp reserve

Nadermahmoudi

Amraee

Oskouee

2020

Int Trans Electr Energ Syst

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Summary Uncertainty of renewable generation is a major challenge in power system operation. Without scheduling enough fast reserves, the load shedding or wind curtailments are expected under rapid deviations of renewable generation. Therefore, the flexible ramp (FR) reserves are scheduled in short‐term horizons to compensate the uncertainties of renewable resources and load demand. In this paper, a very short‐term economic dispatch (ED) model is developed to handle the wind and load uncertainties using FR reserve. FR products refer to rapid 10‐minute spinning reserves that are provided by the fast‐response generating units and energy storage (ES) devices to handle the load and wind uncertainties in both upward and downward directions. The proposed model minimizes the costs of generation, contingency reserve, FR reserves, and charging of battery ES. Technical constraints of generating units and the transmission network limits are considered. The future scheduling hour is divided into six 10‐minute intervals and the generation levels and required reserves are optimized for the subsequent receding 10‐minute intervals. Point estimate (PE) method is utilized to reduce the wind generation and load uncertainty scenarios. The efficacy of PE method is compared with Monte Carlo technique. In addition to credible scenarios of wind and load uncertainties, some regional worst‐case scenarios are considered in each electric area to minimize the amount of FR underestimation. The proposed ED model is formulated as a stochastic mixed integer linear programming (MILP) model that is solved using CPLEX algorithm in GAMS for the IEEE 118‐bus and 300‐bus test systems.

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Energy and Reserve Scheduling Under Wind Power Uncertainty: An Adjustable Interval Approach

Cited by 64 publications

References 25 publications

Optimization Scheduling Method for Power Systems Considering Optimal Wind Power Intervals

Optimization Scheduling Method for Power Systems Considering Optimal Wind Power Intervals

A Distributed Robust Dispatch Approach for Interconnected Systems with a High Proportion of Wind Power Penetration

Stochastic very short‐term economic dispatch for wind power operation using flexible ramp reserve

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