标题： 非德拜阻抗和弛豫模型用于耗散电化学电容器 显示英文标题

标题： Non-Debye impedance and relaxation models for dissipative electrochemical capacitors

摘要： 电化学电容器是一类能量装置，在连接到充电或放电电源系统时，会发生复杂的电能积累和耗散机制。 可靠地建模其频域和时域行为对于其在工程应用中的正确设计和集成至关重要，众所周知，电化学电容器通常表现出传统整数阶模型无法充分捕捉的异常特性。 在本研究中，我们首先回顾了一些广泛用于描述耗散性电阻-电容系统的阻抗和弛豫函数的分数阶模型，即Cole-Cole模型、Davidson-Cole模型和Havriliak-Negami模型。 然后，我们提出并推导了基于电荷或电压在设备向并联电阻负载放电时的修改演化方程的新q变形模型。 我们通过商用超级电容器获得的异常频谱阻抗响应和时域弛豫数据对电压和电荷进行了验证。 显示英文摘要

摘要： Electrochemical capacitors are a class of energy devices in which complex mechanisms of accumulation and dissipation of electric energy take place when connected to a charging or discharging power system. Reliably modeling their frequency-domain and time-domain behaviors is crucial for their proper design and integration in engineering applications, knowing that electrochemical capacitors in general exhibit anomalous tendency that cannot be adequately captured with traditional integer-order-based models. In this study we first review some of the widely used fractional-oder models for the description of impedance and relaxation functions of dissipative resistive-capacitive system, namely the Cole-Cole, Davidson-Cole, and Havriliak-Negami models. We then propose and derive new q-deformed models based on modified evolution equations for the charge or voltage when the device is discharged into a parallel resistive load. We verify our results on anomalous spectral impedance response and time-domain relaxation data for voltage and charge obtained from a commercial supercapacitor.