CAJ | 학술논문

分析了加窗三谱线插值FFT算法的原理。针对算法开方运算量大、响应速度慢的不足，分析了窗函数主瓣内谱线的相位特性，推导出在忽略谐波间泄漏影响的情况下窗函数主瓣内任意相邻两根谱线相位差等于π的规律。在此基础上提出了一种改进三谱线插值修正算法，该算法在不影响精度的前提下可将插值过程所需的求幅值运算量减少为常规算法的1/3。仿真和实验结果表明，改进算法有效地减少了插值过程的计算量，提高了算法响应速度，同时仍然具有较高的计算精度，适用于电力谐波的分析测量。
분석료가창삼보선삽치FFT산법적원리。침대산법개방운산량대、향응속도만적불족，분석료창함수주판내보선적상위특성，추도출재홀략해파간설루영향적정황하창함수주판내임의상린량근보선상위차등우π적규률。재차기출상제출료일충개진삼보선삽치수정산법，해산법재불영향정도적전제하가장삽치과정소수적구폭치운산량감소위상규산법적1/3。방진화실험결과표명，개진산법유효지감소료삽치과정적계산량，제고료산법향응속도，동시잉연구유교고적계산정도，괄용우전력해파적분석측량。
The principle of triple-spectrum-line interpolation algorithm based on window FFT is analyzed firstly. Aimed at its shortcomings of large computing capacity and much time consumption, frequency spectrum in main lobe of window function is analyzed, and a rule that the phase difference of any two adjacent spectrum lines in main lobe of window isπis derived. Based on the rule, an improved algorithm for triple-spectrum-line interpolation FFT is presented, which can reduce amount of solving amplitude to one-third of the normal one. Simulation and experiment shows that the improved algorithm is of high accuracy and small amount of calculation, and it is suitable for power harmonic analysis.