CAJ | 학술논문

提出2种确定逆变器消谐方程初值的方法：基波平衡型优化方法(FCBO)与伏–秒平衡型基波优化方法(VSBO)。2种方法都将参考正弦波 s(θ)=Usinθ的一个周期2π均匀分为宽度为θ0=2π/Np的Np个子区。每个子区分配一个开通角待定、关断角在子区下边界的 PWM 脉冲 pn(θ)。FCBO 法令各个子区的局部正弦波形sn(θ)与该区的脉冲pn(θ)的基波系数相等，VSBO法令sn(θ)与pn(θ)的伏–秒积相等来确定各自pn(θ)的开通角。在此基础上开发出了2种算法简单的通用初值计算公式，对于每一种 Np值都只须计算一次初值即可用来求取各种调制系数ma时的消谐方程的实时精确解。借助于通用初值得到的各种条件的消谐方程实时精确解，对初值、真值间接近程度与快速精确求解消谐方程的关系，影响消谐方程精确求解的决定性因素，消谐方程精确解的唯一性，消谐方程精确解存在范围等与消谐方程有关的问题也进行了深入探讨。用现有电力电子电路进行的验证试验表明，文中方法的容差性能好，消谐误差低，实用性强。
제출2충학정역변기소해방정초치적방법：기파평형형우화방법(FCBO)여복–초평형형기파우화방법(VSBO)。2충방법도장삼고정현파 s(θ)=Usinθ적일개주기2π균균분위관도위θ0=2π/Np적Np개자구。매개자구분배일개개통각대정、관단각재자구하변계적 PWM 맥충 pn(θ)。FCBO 법령각개자구적국부정현파형sn(θ)여해구적맥충pn(θ)적기파계수상등，VSBO법령sn(θ)여pn(θ)적복–초적상등래학정각자pn(θ)적개통각。재차기출상개발출료2충산법간단적통용초치계산공식，대우매일충 Np치도지수계산일차초치즉가용래구취각충조제계수ma시적소해방정적실시정학해。차조우통용초치득도적각충조건적소해방정실시정학해，대초치、진치간접근정도여쾌속정학구해소해방정적관계，영향소해방정정학구해적결정성인소，소해방정정학해적유일성，소해방정정학해존재범위등여소해방정유관적문제야진행료심입탐토。용현유전력전자전로진행적험증시험표명，문중방법적용차성능호，소해오차저，실용성강。
Two methods, fundamental component balance and optimization one (FCBO) and volt-second balance and optimization one (VSBO), were proposed to calculate initial values of harmonic elimination equation (HEE) of inverter. Both of the methods divide one cycle (2π) of reference sine s(θ)=Usinθ intoNp sub-zones {sn(θ)} with equal phase-gapθ0=2π/Np. Replace sn(θ) by the nth pulsepn(θ) of PWM with heightUp, falling edgeθn=nθ0, and rising edge in pending. Balancing fundamental components or volt-second products of sn(θ) andpn(θ) were used to set the rising edge ofpn(θ) for FCBO or VSBO. From the test results of FCBO and VSBO, two universal methods, modified FCBO (MFCBO) and modified VSBO (MVSBO), were developed. MVSBO just needs one initial value to get real-time accurate solutions of HEE for a givenNp with different amplitude modulated index ma. So does MFCBO. Based on a lot of real-time accurate solutions some problems in question about HEE were discussed, such as allowable difference between initial values and accurate solutions, crucial factor for exactly solving HEE, uniqueness of accurate solutions, and solvable zones. Excellent error tolerance and low practical harmonic elimination error of proposed methods were verified by experiments.