Research Progress and Challenges in Phasor-Based Time-Domain Simulation Solution Algorithms for New-Type Power Systems

• • Algorithm modification via mathematical format innovation expands absolute performance boundaries but suffers from multi-dimensional performance conflicts that weaken net performance gains; fixed algorithmic structures cannot respond to time-varying simulation demands, creating a fundamental rigidity that limits industrial deployment in scenarios requiring adaptive transient analysis across multi-timescale coupling. • • Algorithm adaptation achieves optimal computational resource allocation within given performance boundaries through real-time scheduling and combination, yet existing strategies exhibit singular adjustment objectives and state-sensing dimensions, with parameters and switching logic heavily dependent on manual experience—severely constraining robustness and creating operational bottlenecks for large-scale renewable integration. • • The three solution stages—numerical integration, nonlinear algebraic equation solution, and linear algebraic equation solution—exhibit coupling relationships that demand coordinated consideration within an integrated framework; isolated optimization of any single stage yields suboptimal overall performance, necessitating holistic algorithm design for high-proportion power electronic device scenarios. • • Future integration of algorithm modification and algorithm adaptation can expand performance adjustment ranges and enhance responsiveness to time-varying demands; artificial intelligence fusion with traditional numerical methods offers a pathway to replace empirical parameter design and achieve precise algorithm regulation, potentially resolving the accuracy-convergence-efficiency trilemma in large-scale new-type power system simulation.