新能源并网系统高次谐波在电力电缆中的放大效应

Amplification Effect of High-order Harmonics in Power Cables of New Energy Grid-connected Systems

  • 摘要: 为研究新能源并网系统高次谐波在电力电缆中的放大效应,通过电缆分布参数模型,推导了电缆谐波放大公式,针对具体算例分析了不同频次的高次谐波电压与谐波电流在电缆传输过程中,电缆上各点的谐波放大倍数与电缆长度、所带负载间的定量关系。研究结果表明:高次谐波经由电力电缆时,会在电缆上产生谐波放大现象,其谐波放大的程度在电力电缆不同位置呈现周期性分布,其最大放大倍数的数值及其出现的位置受到电缆结构参数,总长度,末端负载及谐波频次的共同影响;非谐振条件下,谐波电压和谐波电流的放大倍数一般均小于15倍,这与工程实际的测量结果是一致的,但当电缆末端恰好处于谐振长度时,谐波电压与谐波电流的放大倍数可达50~300倍;当电缆长度一定时,电缆所带负载的大小与类型对电力电缆不同位置的放大效应存在较大影响;当电缆所带负载不变时,随着电缆长度的增长,其出现放大现象的谐波频次逐渐降低。

     

    Abstract: To investigate the amplification effect of high-order harmonics in power cables of the new energy grid-connected system, a cable distributed parameter model is developed, and the cable harmonic amplification formula is deduced. For specific examples, an analysis has been conducted on the quantitative relationship between the harmonic amplification multiple at each point on the cable and the cable length, as well as the load carried during the transmission of high-order harmonic voltages and harmonic currents of different frequencies in the cable. The research results indicate that when high-order harmonics traverse power cables, harmonic amplification phenomena will occur on the cables. The degree of harmonic amplification exhibits a periodic distribution at various positions along the power cables. The value of the maximum amplification factor and its occurrence position are jointly affected by the cable structure parameters, total length, end load, and harmonic frequency. Under non-resonant conditions, the amplification factors for both harmonic voltage and harmonic current typically remain below 15, which is consistent with the actual measurement results in engineering. However, when the end of the cable precisely reaches the resonant length, the amplification factors of harmonic voltage and harmonic current can attain 50 to 300. When the length of the cable is constant, the size and type of the load carried by the cable have a significant impact on the amplification effect at various positions of the power cable. When the load borne by the cable remains unchanged, as the cable length increases, the harmonic frequencies that lead to amplification gradually decline.

     

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