## Aiming at the problem of insufficient response speed of traditional quasi-resonant controllers in the application of grid-connected inverters with LCL filter, a novel hybrid controller which combines a quasi-proportional resonant controller and an integrator is proposed in this paper. 针对传统准谐振控制器在LCL滤波器并网逆变器应用中响应速度不够的问题，提出一种准比例谐振控制器与积分器相结合的新型混合控制器。

An Improved Quasi-Resonant Controller for Grid-Connected Inverter with LCL Filter

## Under non-ideal grid conditions, especially the harmonic grid condition, the proportional resonant controller with multiple harmonic resonant controllers (HR-PR controller) is recommended to provide high quality grid currents for the 3-phase LCL-filtered grid-connected inverter. 在非理想电网条件下，特别是谐波电网条件下，推荐使用具有多个谐波谐振控制器的比例谐振控制器（HR-PR控制器）为三相LCL滤波并网逆变器提供高质量的电网电流。

Parameter co-design of active damping loop and grid current controller for a 3-phase LCL-filtered grid-connected inverter

## An alternate control approach is per phase current control using proportional resonant controllers in ABC domain. 另一种控制方法是在 ABC 域中使用比例谐振控制器进行每相电流控制。

Open Phase Fault Tolerant Control of Multi Three Phase Machines

## Using the mathematical model, new feedforward terms have been developed, and used in the control loop with proportional integral controller (PI) and proportional resonant controllers to mitigate grid current harmonics. 使用该数学模型，开发了新的前馈项，并将其用于具有比例积分控制器 (PI) 和比例谐振控制器的控制回路，以减轻电网电流谐波。

Modeling and Control of an Integrated Battery Charger With Split-Phase Machine

## On the other hand, when the voltage harmonics are taken into account in the observer design, the composite controller reduces to multiple resonant controllers with an antiwindup scheme. 另一方面，当在观测器设计中考虑电压谐波时，复合控制器减少为具有抗饱和方案的多个谐振控制器。

A Novel Design of PR Controller With Antiwindup Scheme for Single-Phase Interconnected PV Systems

## This strategy is based on multiple resonant controllers designed to comply with performance specifications given by IEC62040-3. 该策略基于多个谐振控制器，旨在符合 IEC62040-3 给出的性能规范。

State Space Model for a Droop Control Strategy with Fault Ride-Through in UPS Parallel Inverters

## Compared to the PMR controller, the proposed scheme omits the even harmonic resonant controllers and has much more odd harmonic resonant controllers, which also reduces the memory space consumption, calculation burden and controller complexity. 与 PMR 控制器相比，所提出的方案省略了偶次谐波谐振控制器，而具有更多的奇次谐波谐振控制器，这也减少了内存空间消耗、计算负担和控制器复杂度。

A novel harmonic impedance compensator based on POHMR-type RC under gird voltage distortion

## Under non-ideal grid conditions, especially the harmonic grid condition, the proportional resonant controller with multiple harmonic resonant controllers (HR-PR controller) is recommended to provide high quality grid currents for the 3-phase LCL-filtered grid-connected inverter. 在非理想电网条件下，特别是谐波电网条件下，推荐使用具有多个谐波谐振控制器的比例谐振控制器（HR-PR控制器）为三相LCL滤波并网逆变器提供高质量的电网电流。

Parameter co-design of active damping loop and grid current controller for a 3-phase LCL-filtered grid-connected inverter

## Therefore, in this paper, proportional resonant controllers tuned with fuzzy system are used to control the rotor and grid converter.

PR-Fuzzy Control Improvement of Doubly Fed Induction Generator During Grid Faults

## Meanwhile, an advanced current controller designed with a proportional integral plus two resonant controllers tuned at the fundamental grid frequency <inline-formula><tex-math notation="LaTeX">$({{\omega _s}})$</tex-math></inline-formula> and <inline-formula><tex-math notation="LaTeX">$2{\omega _s}$</tex-math></inline-formula> in the synchronous (<italic>d–q</italic>) reference frame is suggested to reject the impact of the dc offset and scaling errors in the voltage measurement.

Control Strategy to Compensate for Current and Voltage Measurement Errors in Three-Phase PWM Rectifiers

10.1109/CPE-POWERENG50821.2021.9501174

## From the analysis results, the necessity of multi-resonant controllers to suppress the ZSCC at specific harmonics is demonstrated. 从分析结果来看，证明了多谐振控制器在特定谐波处抑制 ZSCC 的必要性。

Analysis and Suppression of Zero-Sequence Circulating Current in Multi-Parallel Converters

## In both methods there is no need using resonant controllers to reject exogenous disturbance. 在这两种方法中，都不需要使用谐振控制器来抑制外来干扰。

A PERFORMANCE COMPARISON OF DISCRETE-TIME LEAST SQUARES-BASED ROBUST MODEL REFERENCE ADAPTIVE CONTROL APPROACHES APPLIED ON GRID-SIDE CURRENT CONTROL OF GRID-TIED POWER CONVERTERS BY LCL FILTER

## The proposed controller reduces the complexity in the tuning of the resonant controllers and also provides better current harmonics response. 所提出的控制器降低了谐振控制器调谐的复杂性，并且还提供了更好的电流谐波响应。

Power quality improvement with D-STATCOM using combined PR and Comb filter- Controller

## As the resonant controllers are prone to cause instability issues and anomalous peaks in closed-loop frequency responses, it is of particular importance to investigate it thoroughly for the frequency-selective impedance controlled (FSIC) dc microgids, where the cascade of the resonant-type controllers is used in control of the interfacing power converters to reduce the bus's impedance at the selected frequencies. 由于谐振控制器容易在闭环频率响应中引起不稳定问题和异常峰值，因此对频率选择阻抗控制 (FSIC) 直流微型设备进行彻底研究尤为重要，其中谐振型的级联控制器用于控制接口电源转换器以降低总线在选定频率下的阻抗。

Resonant Controllers Design for Frequency-Selective Impedance Controlled DC Microgrids

## To control overshoot and settling time while following a dc and sinusoidal references without losing control during the transition, proportional-integral, and proportional-resonant controllers with optimal gain designs are reinforced by antiwindup feedback. 为了控制过冲和稳定时间，同时遵循直流和正弦参考，而不会在转换期间失去控制，具有最佳增益设计的比例积分和比例谐振控制器通过抗饱和反馈得到加强。

Implementation of Two-Level Coordinated Control for Seamless Transfer in Standalone Microgrid

## Resonant controllers are commonly used in parallel with proportional–integral controllers in the current control of multiphase machines and other three-phase drives where current harmonics need elimination. 在多相电机和其他需要消除电流谐波的三相驱动器的电流控制中，谐振控制器通常与比例积分控制器并联使用。

Improved Current Dynamics of Proportional-Integral-Resonant Controller for a Dual Three-Phase FSPM Machine

## The proposed control strategy consists of an inner current control loop and an outer loop to control the phase voltages, using Proportional-Resonant controllers. 所提出的控制策略包括一个内部电流控制回路和一个外部回路来控制相电压，使用比例谐振控制器。

Digital Control of a Three-Phase Four-Leg Inverter to Feeds Non-Linear Loads

## The proposed procedure is based on: i) an internal loop with state feedback, aiming on active damping of the LCL filter resonance; ii) an external loop with resonant controllers, aiming to ensure tracking of sinusoidal grid current references. 所提出的程序基于： i) 具有状态反馈的内部环路，针对 LCL 滤波器谐振的有源阻尼； ii) 带有谐振控制器的外部回路，旨在确保跟踪正弦电网电流参考。

Design of a Current Controller Based on a Two Step Procedure for Grid-Connected Converters

10.1109/CPE-POWERENG50821.2021.9501171

## The first control system is based on resonant controllers. 第一个控制系统基于谐振控制器。

Performance Comparison of Cascade Control Systems for Single-Phase Grid-Forming Converters with LCL Filter

## In this research article, the proportional-resonant controllers (PR) are introduced to fulfil the increased demand for controllers aiming at the tracking and/or rejection of periodic signals with superior performance than conventional PID ones. 在这篇研究文章中，引入了比例谐振控制器 (PR)，以满足对控制器的日益增长的需求，该控制器旨在跟踪和/或抑制周期性信号，其性能优于传统 PID 控制器。

Tuning of Proportional-Resonant Controllers Combined with Phase-Lead Compensators Based on the Frequency Response

## To achieve such a control objective, resonant controllers with a conjugate set of marginally stable poles are required. 为了实现这样的控制目标，需要具有一组边际稳定极点的共轭谐振控制器。

Integrated Approach to Design and Implementation of a Single-Phase Current Regulator With Antiwindup Mechanism

## Recently, methodology for designing single-parameter single-resonant controllers according to desired tracking behavior of ac signal amplitude was proposed by the authors. 最近，作者提出了根据期望的交流信号幅度跟踪行为设计单参数单谐振控制器的方法。

Guidelines for Single-Parameter Multiresonant Current Controllers Design Allowing Prescribed Magnitude Tracking of Periodic References

## The PI controllers and coordinate transformation process for the negative sequence currents and circulating currents are simplified by using resonant controllers. 使用谐振控制器简化了负序电流和环流的PI控制器和坐标变换过程。

Resonant Based Overvoltage Restraining Strategy for MMC-HVDC Wind Power Transmission System under Sending End Grid Fault

## Then, the reference current of ac/dc converter of the charger and battery is obtained, and in the next step, the situation of the charger switches is determined using output signals of the proportional–integral and proportional–resonant controllers and pulsewidth modulation. nan

Power Conditioning of Distribution Networks via Single-Phase Electric Vehicles Equipped

## Resonant controllers are also proposed to reject the current harmonic disturbance drawn by nonlinear loads.

Multivariable Control of a Grid Forming System Based on Back-To-Back Topology

## The effectiveness of the proposed method is verified by numerical simulations and experimental results in comparison with a traditional capacitor decoupling method and an active power decoupling method with multi-proportional-resonant controllers in previous researches.

Adaptive Power Decoupling Strategy for Single-Phase Grid-Connected Converter

## The amplifier control design was developed in abc coordinates and utilizes integral and proportional-resonant controllers to provide a good tracking of both the fundamental component as the dc component that might be present during fault conditions.

Cost-Effective Three-Phase Current Amplifier Interface for Real-time Simulator with Relays in-the-Loop

## The resonant controllers are implemented in outer grid-side current controller to deal with harmonically distorted grid voltage at the 5th, 7th, 11th, and 13th orders.

Multiloop current control for an inductive–capacitive–inductive-filtered grid-connected inverter with frequency-adaptive capability under distorted grid environment

## The paper investigates adaptive proportional-resonant controllers in stationary reference frame used for suppression of second harmonic circulating current in the modular multilevel converter especially for lower controller bandwidth.

Comparative Study of Two Adaptive Resonant Controllers in a Modular Multilevel Converter

## Variations in grid frequency can be one of the main sources of harmonic distortions in a generated currents of a grid-connected photovoltaic power plant (GCPPP) as long as it is incorporated with frequency-dependant controllers such as resonant controllers in the current control loops.

Sensitivity analysis, adaptability improvement and control of grid-connected photovoltaic power plants under grid frequency variations

## This paper deals with an improved control of line impedance emulator, indeed earlier researchers applied PI controllers and resonant controllers associated to impedance emulator algorithm to emulate the desired impedance.

Enhanced Real Time Impedance Emulation for Microgrid Equipments Testing and Applications

## Resonant controllers (RSCs) are widely adopted for controlling power converters, since they can track ac signals of both positive and negative sequences without steady-state error.

A New Tuning Method of Multiresonant Current Controllers for Grid-Connected Voltage Source Converters

## The dynamic performance of the classical control methods with proportional-integral or proportional-resonant controllers is unsatisfactory, and the requirement of proportional-integral parameters tuning procedure makes converter operation performance depends on proportional-integral parameters adjustment.

Phase-Shifted Carrier Pulse-Width Modulation Algorithm With Improved Dynamic Performance for Modular Multilevel Converters

## Resonant controllers are widely used in applications like active power filters and identification systems, where control of harmonics of high order (high frequency) is required.

High-Frequency Harmonic Current Control of Power Converters

## The dynamic performance of the classical control methods with proportional-integral or proportional-resonant controllers is unsatisfactory and the requirement of proportional-integral parameters tuning procedure makes designing the controller more complex.

A Novel Phase-shifted Carrier PWM and Voltage Balancing Control Scheme for Enhancing Dynamic Performance of Modular Multilevel Converter

## Two quasi-resonant controllers are added to the conventional PI controller, and feed-forward control terms are introduced to eliminate the effects of disturbances in a zero-axis current system.

Circulating Current Suppression for Parallel Three-Level Inverters Under Unbalanced Operating Conditions

## This paper presents a multiloop current control strategy for grid-connected converters through an LCL filter, based on an integrator backstepping and proportional+resonant controllers, in order to achieve robustness toward the uncertainties of the grid.

Multiloop Current Control Strategy for a Grid-connected VSI with LCL Filter Using Backstepping and Proportional+Resonant Controller