中文摘要：

提出一种节点约束统一的互补潮流模型。区别于常规启发式判断校正结构,牛顿迭代过程中自适应地辨析压控节点无功越限并渐进校正,避免由于采用错误的PV-PQ转换逻辑导致潮流计算失败或收敛于错误解。通过归一化非线性互补逼近函数描述无功电压约束特性,保持潮流计算雅可比矩阵整体结构,较好地解决互补潮流模型可微性和复杂性的问题,同时提供潮流节点类型识别性发散的一种数值化表现形式。在此基础上构建互补约束连续潮流,采用通用型临界点数值识别方法有效辨别临界点分岔类型和关键约束。通过多个测试算例验证了所提模型与方法的有效性。

英文摘要：

A complementary power flow model with unified bus constraints is proposed. Different from the conventional structure of heuristic judgment and correction,the reactive-power limit-violation of voltagecontrolled node is automatically identified and progressively corrected during the Newton iteration to avoid the failure or incorrect convergence of power flow calculation caused by the wrong PV-PQ switching logic. The characteristics of reactive-power and voltage constraints are described by the normalized nonlinear complementary approximation function to maintain the overall structure of power flow Jacobian matrix for better dealing with the differentiability and complexity of complementary power flow model. A numerical form for representing the divergence of power-flow node-type identification is provided. The continuous power flow with complementary constraints is constructed and a general numerical method of critical point identification is applied to effectively detect its bifurcation type and key constraints. The effectiveness of the proposed model and method is verified by multiple test cases.