逆变器消谐方程实时求解中矩阵求逆与ASIC实现

Study on Inverse Matrix Calculation in Solving Hamonic Elimination Equations and Its Implemention in ASIC

在运用同伦算法进行逆变器PWM消谐方程实时求解过程中,矩阵求逆是关键。通过对上三角矩阵求逆算法的研究,提出了一种适合ASIC实现的基于二维心动阵列的矩阵求逆并行结构。运用硬件描述语言(VHDL)对其建模,并通过Synopsys的DesignCompile综合和Cadence的NC-Sim对其进行综合后仿真。仿真结果表明,该并行结构能够在 2n+1个时钟周期内完成n阶矩阵求逆,而传统的串行计算至少需要n3个时钟周期。

The inverse matrix calculation is the key to solve harmonic elimination PWM model of inverter based on Homotopy algorithm. In light of the analysis of the algorithm of up-triangle matrix’s inverse,a two-dimension systolic array structure for ASIC implementation is introduced. The structure is modeled by VHDL, synthesized by Design Compiler of Synopsys and simulated by NC-SIM of Cadence.The result shows this parallel structure can finish n-order matrix inverse calculation in 2n+1 clocks, but traditional serial computation needs n^3 clocks.