Application of Fractional Order PI/PID Voltage Controllers for Three-Phase Voltage Source Inverter with Dynamic Load

Ozan Gül
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Abstract

Purpose: With the depletion of fossil fuels, the landscape of electrical energy generation has witnessed a transformative shift towards alternative sources such as fuel cells and photovoltaic (PV) systems that produce direct current (DC) electricity. In the realm of distributed power generation, three-phase voltage source inverters (VSIs) are extensively utilized for converting energy from DC sources to alternating current (AC) for the grid or loads. The pivotal objective of this study is to investigate and compare the performance of fractional-order Proportional-Integral (PI) and Proportional-Integral-Derivative (PID) control structures against their integer-order counterparts in the voltage control loop of a VSI connected to a dynamic load system. Materials and Methods: The research employs frequency response analysis to design and implement both fractional-order PI/PID and integer-order PI/PID control structures for the voltage control loop. The simulation of the controlled system is conducted using MATLAB/Simulink, considering two distinct test scenarios – unstable and stable dynamic load conditions. The primary focus is on analyzing the inverter output voltage in the d-q axis under these scenarios. Findings: The analysis of the simulation results reveals noteworthy distinctions between the fractional-order and integer-order PI/PID controllers in the context of controlling the inverter system with dynamic loads. These findings shed light on the advantages of employing fractional order controllers, particularly in dynamic load scenarios, showcasing superior performance in comparison to their integer-order counterparts. Implications to Theory, Practice and Policy: The study's outcomes hold significant implications for the theory and practice of voltage control in distributed power generation systems. The superiority of fractional-order PI controllers underscores their potential for enhancing power quality, especially in systems with unstable and time-varying dynamic loads. These insights can inform the development of more effective control strategies for voltage source inverters, influencing both theoretical frameworks and practical applications. Policymakers may consider these findings when formulating regulations and incentives to promote the adoption of advanced control strategies in the evolving landscape of electrical energy generation.
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带动态负载的三相电压源逆变器中分数阶 PI/PID 电压控制器的应用
目的:随着化石燃料的枯竭,电能生产的格局已发生转变,转向燃料电池和光伏系统等可产生直流电(DC)的替代能源。在分布式发电领域,三相电压源逆变器(VSI)被广泛用于将直流电源的能量转换为交流电,供电网或负载使用。本研究的主要目的是研究并比较连接到动态负载系统的 VSI 电压控制回路中分数阶比例积分(PI)和比例积分微分(PID)控制结构与整数阶控制结构的性能。材料和方法:研究采用频率响应分析方法,为电压控制回路设计并实施分数阶 PI/PID 和整数阶 PI/PID 控制结构。使用 MATLAB/Simulink 对受控系统进行仿真,考虑了两种不同的测试场景 - 不稳定和稳定的动态负载条件。主要重点是分析这些情况下 d-q 轴的逆变器输出电压。结果:对仿真结果的分析表明,在控制具有动态负载的逆变器系统时,分数阶 PI/PID 控制器与整数阶 PI/PID 控制器之间存在值得注意的区别。这些发现揭示了采用分数阶控制器的优势,特别是在动态负载情况下,与整数阶控制器相比,分数阶控制器表现出更优越的性能。对理论、实践和政策的影响:研究成果对分布式发电系统的电压控制理论和实践具有重要意义。分数阶 PI 控制器的优越性凸显了其在提高电能质量方面的潜力,尤其是在动态负载不稳定和时变的系统中。这些见解有助于为电压源逆变器开发更有效的控制策略,对理论框架和实际应用都有影响。政策制定者在制定法规和激励措施时,可以考虑这些研究结果,以促进在不断发展的发电领域采用先进的控制策略。
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