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Analyzing single and multitone nonlinear circuits using a modified harmonic balance method.

机译:使用改进的谐波平衡方法分析单音和多音非线性电路。

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In recent years, the necessity for fast, accurate and less memory-intensive techniques to analyze nonlinear circuits has grown as technology has advanced. The harmonic balance (HB) method is a powerful tool and it has been used for some time in nonlinear circuit analysis. In order to keep up with the vast requirements of circuit design, the harmonic balance method is modified to make it fast, more accurate and require less memory.; In the modified harmonic balance (MHB) method, circuits are analyzed by calculating voltages and currents of nonlinear components in the time domain and those of linear components in the frequency domain. After that, an iteration scheme is performed in which the voltage and current values have to be transformed from one domain to the other for each single iteration. A key point to reduce the analysis time and minimize the memory required is to use an efficient way to transform from one domain to another, taking into account multi-tone circuits, and to handle the set of voltage and current values in a simple matter. One-dimensional Fourier transformations are used to convert from the time domain to the frequency domain and visa versa. The current and voltage values are handled using a vector matrix for each nonlinear element instead of using Jacobian matrices.; The harmonic balance technique can sometimes be deceiving, especially when it converges to the wrong solution. To achieve convergence to the correct solution, the initial values must be chosen with great care. The fundamental-frequency solution, obtained using experimental results or numerical analysis, is used as an initial estimate. This initial estimate will assure accurate results. To minimize errors, two two-port networks are performed since they are simple and straight forward.; Solutions obtained using MHB code written in MATLAB were compared with P-Spice results. The results show good accuracy.
机译:近年来,随着技术的进步,对快速,准确和较少存储器密集型技术进行非线性电路分析的必要性日益增长。谐波平衡(HB)方法是一种强大的工具,在非线性电路分析中已经使用了一段时间。为了满足电路设计的巨大需求,对谐波平衡方法进行了修改,使其更加快速,准确,并减少了存储空间。在改进的谐波平衡(MHB)方法中,通过计算时域中非线性分量和频域中线性分量的电压和电流来分析电路。之后,执行一个迭代方案,其中对于每个单个迭代,电压和电流值必须从一个域转换为另一个域。减少分析时间并最小化所需内存的关键点是使用一种有效的方法,从一个域转换到另一个域,同时考虑多音调电路,并以简单的方式处理一组电压和电流值。一维傅立叶变换用于从时域转换到频域,反之亦然。使用每个非线性元素的矢量矩阵来处理电流和电压值,而不是使用Jacobian矩阵。谐波平衡技术有时可能具有欺骗性,尤其是当收敛到错误的解决方案时。为了收敛到正确的解决方案,必须非常小心地选择初始值。使用实验结果或数值分析获得的基频解用作初始估计。此初始估计将确保准确的结果。为了使错误最小化,执行了两个两端口网络,因为它们简单明了。将使用MATLAB编写的MHB代码获得的解与P-Spice结果进行比较。结果显示出良好的准确性。

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