基于同调分群等值聚合的山地型光伏电站多变流器系统建模研究

doi:10.19595/j.cnki.1000-6753.tces.251107

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Abstract With the photovoltaic (PV) industry expanding into mountainous areas, power stations now face rugged terrain and frequent cloud cover. These converters increase operational differences among multi-converter units. Transient stability analysis becomes more complex as a result. Developing detailed full-order models typically leads to increased computational demands, higher storage requirements, and greater analytical complexity due to the high-dimensional state variables and intricate control interactions. However, after differentiated coherency partitioning of the system, the established equivalent model can significantly reduce the complexity of system stability analysis while maintaining the accuracy of the original system model description. In recent years, several system equivalence modeling methods have been proposed. However, most fail to effectively integrate the impacts of system coherency partition and the dynamic parameters of control loops, limiting their ability to accurately capture the system’s dynamic behavior. To overcome these shortcomings, the Coherent Partition Equivalent Aggregation (CPEA) method is proposed which combines coherent partition and control loop aggregation.
This method constructs simplified yet precise equivalent models of multi-converter systems in mountain PV power stations by partitioning based on their dynamic characteristics and aggregating their state variables. Firstly, a coherency discrimination criterion is established based on the voltage vector control mechanism of the phase-locked loop (PLL), using the deviation in the q-axis voltage component at the converter output as the criterion. The partition of converters within the same bus and between different bus is carried out in turn: all converters within the same bus that satisfy the coherence criterion are partitioned together, while those that don’t are split into subgroups, which may belong to the original bus cluster or form independent clusters. The single coherence partition formed in the bus continues to participate in the inter-busbar partitioning. If multiple groups exist within a bus, cross-bus partitioning is prohibited. This results in the system being represented as either an equivalent single-machine or a multi-machine model. Next, through state variable equivalent transformation techniques, the equivalent electrical parameters of grid-connected converters, as well as the parameters of their inner and outer control loops and PLL, are derived to form the equivalent single-machine models for each coherence partition. Finally, a system of the equivalent multi-machine model is constructed according to the partitioning results.
The method was validated using the SIMULINK and the RT-LAB real-time hardware-in-the-loop (HIL) platform. The simulation results show that the partitioning and aggregated equivalent results are consistent with the theoretical analysis in the case of single-phase ground fault and three-phase short-circuit fault, which effectively confirms the accuracy of the coherence criterion and the ability of the equivalent model to accurately replicate the dynamic characteristics of the original system.
For the equivalent modeling of multi-converter systems in mountain PV power stations, this paper proposes a dynamic mechanism-based CPEA method. Through theoretical analysis, numerical computation, and simulation validation, the following conclusions are obtained: (1) Owing to complex terrain and varying local micro-meteorological conditions, the operational characteristics of grid-connected converters in mountain PV power stations exhibit significant heterogeneity. Moreover, the spatial distribution of converters influences the equivalent line impedance and the dynamic change of synchronous angular. Hence, an appropriate partitioning is essential for accurate equivalent modeling. Using the deviation of the q-axis voltage component at the converter output as the partitioning criterion enables partitioning based on large-disturbance instability mechanisms. This approach also considerably reduces computational complexity. (2) The state variable equivalence transformation approach is employed for parameter aggregation, enabling the construction of a multi-machine equivalent model for the AC system. This equivalent model achieves effective system dimensionality reduction while preserving dynamic behaviors, including control loop responses and PLL synchronization characteristics.

Key words： Multi-converter systems coherent partition double closed - loop control dynamic equivalence

Received: 24 June 2025

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	Chen Kexin
	Zheng Huajun
	Yuan Xufeng
	Zhang Chao
	Xu Yutao

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Chen Kexin,Zheng Huajun,Yuan Xufeng等. Modeling of Multi-Converter Systems in Mountain Photovoltaic Power Stations Based on Coherency Partition Equivalent Aggregation[J]. Transactions of China Electrotechnical Society, 0, (): 251107-.

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