Phase Domain Synchronous Machine Model Efficiency via Sparse Matrix Conversion
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Solution Overview
Problem
The traditional EMTP-type phase domain synchronous machine model suffers from low computational efficiency due to the use of full matrices in calculations, leading to a heavy computing burden.
Innovation Solution
The method involves acquiring matrix relations between mutual inductance matrices of stator and rotor windings through trigonometric transformation, substituting these relations into the traditional model, and converting the equivalent resistance matrix and history term matrices into sparse matrices, thereby simplifying the formulations and improving computational efficiency.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If a phase domain synchronous machine model is used to provide a direct machine-network interface, then the numerical stability and accuracy of the simulation is improved, but the formulation becomes complicated resulting in increased computational costs
Solution Approach 1:
The patent transforms the mathematical representation of the synchronous machine model by changing the form of the resistance matrix and history term expressions. By applying trigonometric transformations and substituting matrix relations, the model converts full matrices into sparse matrices, maintaining simulation accuracy while reducing computational complexity and improving efficiency.
Solution Approach 2:
The patent applies different structural properties to different parts of the mathematical model. Specifically, it identifies that certain sub-matrices (such as the mutual inductance matrix between stator and rotor windings) have specific trigonometric relationships that can be exploited. By applying local transformations to these specific matrix components rather than the entire model, the patent achieves overall computational efficiency improvement while maintaining the direct interface advantage.
2Ease of operation
If the traditional phase domain synchronous machine model is used with full matrices, then the direct machine-network interface is maintained, but the computing burden increases and computational efficiency decreases
Solution Approach 1:
The patent segments the resistance matrix and history term into component parts that can be independently transformed. By dividing the full matrices into sub-matrices with specific trigonometric relationships (such as separating the mutual inductance matrix into stator and rotor components), the patent enables selective transformation of individual segments into sparse forms, reducing overall computational burden while preserving the direct interface capability.
Data Source
AI summary
The present disclosure provides a method for improving the computational efficiency of an electromagnetic transients program (EMTP-type) phase domain synchronous machine model. The method comprises: acquiring a traditional phase domain synchronous machine model; acquiring matrix relations between mutual inductance matrices of stator windings and rotor windings according to a trigonometric transformation equation; substituting the matrix relations into the original expression of Req and the original formulation of eh(t), respectively, and deriving to obtain a simplified formulation of the equivalent resistance matrix Req and a simplified formulation of the total history term eh(t); and acquiring an efficient phase domain synchronous machine model. According to the embodiment of the disclosure, in the provided model, the equivalent resistance matrix of the phase domain synchronous machine model and the matrix used in the calculation of the history term are converted into constant sparse matrices, thereby improving the calculation efficiency of the model.