Affine arithmetic‐based power flow algorithm considering uncertainty for hybrid AC/DC grids incorporating VSCs

Du, Peng; Liu, Hongda; Liu, Fanming

doi:10.1049/iet-gtd.2018.6095

Cited by 8 publications

(5 citation statements)

References 27 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Based on the system states, the objective functions is built that the overall objective is to minimize the total operation cost C t (ξ ) of the hybrid AC-DC system across the time horizon of interest. (12), (13). (35b)…”

Section: A Stochastic Optimization Model Of Energy Managementmentioning

confidence: 99%

“…In addition, various statistical information (such as moments and probability density) of the solution can be provided with help of the gPC expansion. Avoiding computationally expensive sampling, [13] proposed a first order polynomial description of uncertainty in the hybrid AC-DC system. Applying this polynomial approximation of the random variables, it gives a new idea for solving the stochastic Optimal Power Flow (OPF) problem [14], [15].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Spectral Approximate Strategy for Energy Management of Hybrid AC/DC System With Uncertainty

Wei

Peng

et al. 2020

IEEE Access

View full text Add to dashboard Cite

High proportion of renewable energy and AC-DC hybrid structure are the challenges that the power system has faced. In order to cope with the high-dimensional uncertainties in the hybrid AC/DC system, this work developed a novel method of combining the uncertainty quantification and stochastic optimization to solve a hybrid AC-DC energy management problem. The problem is approximately reformulated by a conic quadratic optimization model, while a surrogate model of random variables and polynomial manipulation for a risk constraint are proposed to handle the tricky. Given a set of samples in the sparse random space generated by Smolyaks algorithm, thus the problem could be handled by using a high-performance solver. Simulation results verify that our proposed approach not only reduces the computational cost for energy management under uncertainties but also provides more accurate statistical information for risk assessment.

show abstract

Section: A Stochastic Optimization Model Of Energy Managementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Spectral Approximate Strategy for Energy Management of Hybrid AC/DC System With Uncertainty

Wei

Peng

et al. 2020

IEEE Access

View full text Add to dashboard Cite

show abstract

“…In recent years, with the increasing renewable energy integration into power networks, there is a growing tendency for the existing power systems to develop into hybrid AC/DC systems, and voltage source converter based high-voltage direct current (VSC-HVDC) has emerged as an effective instrument for addressing the shortage of transmission corridors and accommodating large-scale renewables [1][2][3][4]. In the meantime, power flow analysis is becoming increasingly significant for planning, operation, and control of VSC-based AC/DC systems [5][6][7][8].…”

Section: Introductionmentioning

confidence: 99%

Holomorphic embedding approach for VSC‐based AC/DC power flow

Huang

Yao

et al. 2020

IET Generation Trans & Dist

View full text Add to dashboard Cite

With the rapid development of voltage source converter based high‐voltage direct current, power flow analysis becomes increasingly important for AC/DC hybrid systems. This study extends the holomorphic embedding (HE) method to the VSC‐based AC/DC power flow problem. With an appropriate embedding technique, a general embedded model is established for AC/DC power flow with VSCs, which can not only preserve the deterministic property of HE that enables it to derive the desired solution in an explicit manner but also flexibly accommodate various bus types, VSC configurations, control strategies and operating conditions. Moreover, the sparsity of the recursive matrix in power series calculations and the introduction of the iterative calculation of the inverse matrix (ICIM) to rational approximants contribute to the high computational efficiency of the model. The proposed method is shown to be feasible and efficient by illustrative cases and is further extended to multi‐terminal (VSC‐MTDC) configurations to verify its flexibility.

show abstract

“…In [25], the Jacobian matrix of hybrid AC/DC grids is established and an AA based PFC algorithm is proposed. However, the AA based PFC algorithm for hybrid AC/DC grids in [25] also needs multiple iterations to calculate the output power of droop-controlled VSC. Therefore, it is necessary to improve the computation efficiency of the AA based PFC algorithm for DC distribution networks.…”

Section: Introductionmentioning

confidence: 99%

“…In [24], a robust dispatch model is proposed for islanded AC/DC hybrid microgrids. In [25], the Jacobian matrix of hybrid AC/DC grids is established and an AA based PFC algorithm is proposed. However, the AA based PFC algorithm for hybrid AC/DC grids in [25] also needs multiple iterations to calculate the output power of droop‐controlled VSC.…”

Section: Introductionmentioning

confidence: 99%

Interval power flow calculation algorithm for multi‐terminal dc distribution networks considering distributed generation output uncertainties

Liu

Wang

Zhao

et al. 2020

IET Generation Trans & Dist

View full text Add to dashboard Cite

An interval power flow calculation (PFC) algorithm for multi‐terminal DC distribution networks is proposed to handle the uncertainties of distributed generation output powers and loads. Firstly, an equivalent resistance is introduced to represent the effect of droop control in DC distribution networks. The power losses of the equivalent resistance are offset by adding the injection powers to droop nodes, which guarantees the precision of the equivalent resistance model. The Newton–Raphson method is used for deterministic PFC based on the equivalent resistance, and it is applicable to DC distribution networks with different kinds of network topologies and voltage source converter control modes. Secondly, based on the deterministic PFC algorithm and affine arithmetic, an interval PFC algorithm is presented to handle the uncertainties of distributed generation output powers and loads. The affine arithmetic based interval PFC algorithm not only can determine power flow intervals quickly and accurately, but also can analyse the influences of distributed generation outputs to nodal voltages. Finally, a series of test systems are used to validate the proposed algorithms. Simulation results illustrate the accuracy and efficiency of the deterministic PFC algorithm and the interval PFC algorithm for multi‐terminal DC distribution networks.

show abstract

Affine arithmetic‐based power flow algorithm considering uncertainty for hybrid AC/DC grids incorporating VSCs

Cited by 8 publications

References 27 publications

A Spectral Approximate Strategy for Energy Management of Hybrid AC/DC System With Uncertainty

A Spectral Approximate Strategy for Energy Management of Hybrid AC/DC System With Uncertainty

Holomorphic embedding approach for VSC‐based AC/DC power flow

Interval power flow calculation algorithm for multi‐terminal dc distribution networks considering distributed generation output uncertainties

Contact Info

Product

Resources

About