This manuscript gives a complete survey on current control for single phase Shunt Active Power Filter (SAPF). Various current control techniques like linear current control, Hysteresis, Model Predictive Current Control (MPCC) and other techniques are discussed. The primary advantages and disadvantages of current controllers in SAPF have been presented in a table. This manuscript offers a suitable reference for forthcoming work in power quality applications and its associated research. © 2019 IOP Publishing Ltd. All rights reserved.