A Method for Calculating the Feasible Operation Region of Active and Reactive Power in Active Distribution Networks Considering Stochasticity

doi:10.11930/j.issn.1004-9649.202412008

Abstract

Abstract:

The large-scale integration of renewable energy poses challenges to the power systems, such as the shortage of flexibility resources. However, renewable energy and power electronics connected to the distribution networks can provide flexibilities. This paper proposes a novel method to determine the stochastic feasible operation region of distribution networks, considering flexibility-providing units, network operational constraints, and uncertainties in renewable energy generation and loads. Firstly, an improved method for calculating the deterministic flexibility operation region is introduced. And then, a scenario-based approach is used to model the uncertainties of loads and distributed generations. Finally, a case study demonstrates the accuracy and effectiveness of the proposed method. The case study results show that the proposed method can provide both the probability distribution of the feasible operation region and the operation regions at different confidence levels, and achieves higher accuracy with the same computational cost and avoids overly optimistic results.

Key words: feasible operation region, renewable energy, flexibility resources, transmission-distribution coordination, stochasticity

WANG Xuanyuan, ZHANG Wei, LI Changyu, XIE Huan, GUO Qinglai, WANG Bin, ZHANG Yuqian. A Method for Calculating the Feasible Operation Region of Active and Reactive Power in Active Distribution Networks Considering Stochasticity[J]. Electric Power, 2025, 58(4): 182-192.

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URL: https://www.electricpower.com.cn/EN/10.11930/j.issn.1004-9649.202412008

https://www.electricpower.com.cn/EN/Y2025/V58/I4/182

Figures/Tables 17

Fig.1 The FOR of different types of FPUs

Fig.2 Division of non-convex FOR into convex sub-FORs

Fig.3 Example of SFOR and CFOR of an FPU

Fig.4 Illustration of characterization error estimation

Fig.5 Determination of the tangent of FOR at a vertex

Fig.6 Flow of the proposed SFOR estimation method

Table 1 The FPUs in the case study I

FPU 类型	数量	容量/kW	备注
PV	8	12.5×8=100	位于节点1、2、12、13、14、15、23、24
DFIG	4	100+150×3=550	位于节点9、10、11、17（100 kW）
ESS	2	25×2=50	位于节点3、4
OLTC	1	/	配电变压器（±2×2.5%）

Fig.7 Relative error of different methods

Fig.8 The actual error and the characterization error

Fig.9 Calculation time of the proposed method.

Fig.10 Relative error of SFOR with different parameters

Fig.11 Comparison of SFOR and CFOR results

Table 2 The FPUs in the case study II

FPU 类型	数量	容量/MW	备注
PV	14	10×2+4× 2.5=30	位于节点4（2.5 MW）、5（2.5 MW）、6、7、8、9、10、28（2.5 MW）、29（2.5 MW）、30、31、32、33、34
DG	1	20	位于节点80
ESS	5	1×5=5	位于节点75、77、85、110、112
CL	16	14×1.5+ 2×2=25	位于节点4、6、8、10、28、30、32、34（2 MW）、36（2 MW）、70、72、74、76、106、108、110、112
OLTC	1	/	配电变压器（±2×2.5%）

Fig.12 Relative error of different methods

Fig.13 Calculation time of the proposed method

Fig.14 Relative error of SFOR with different parameters

Fig.15 Comparison of SFOR and CFOR results

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