Shunt Active Power Filter Employing Robust Extended Complex Kalman Filter based Linear Quadratic Regulator Control Strategy for Power Quality Enhancement

Rajesh Kumar Patjoshi, Rakhee Panigrahi


In this paper, a new reference current generation method is proposed for effective harmonics mitigation and reactive power compensation of three-phase shunt active power filter (SAPF) under grid perturbations. The proposed reference technique is specified as a self-regulator of dc-capacitor voltage. In operation, the proposed algorithm estimates the source reference current rapidly and adaptively through power system disruptions arising at source as well as load sides. The proposed technique employs the Robust Extended Complex Kalman filter (RECKF) algorithm to generate reference current, which confirms in phase action of SAPF with the functional power system, without being reliant upon any phase-locked loop (PLL) elements or proportional integral (PI) controller loop. As a consequence, an economical SAPF system can be designed.
Moreover, a Linear Quadratic Regulator (LQR) is formulated using RECKF methodology for delivering stability and robustness in the SAPF system.
The design model and efficacy of the proposed algorithm are fully studied and assessed in a laboratory prototype employing dSPACE1104 to justify feasibility. The encouraging outcomes obtained experimentally demonstrate the efficiency of the proposed approach under both steady and dynamic conditions of the power system.


Shunt active power filter, Robust extended complex Kalman filter, Linear quadratic regulator, grid perturbations.

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Iqbal, F., Khan, M.T., and Siddiqui, A.S. (2018)

Optimal placement of DG and DSTATCOM for loss

reduction and voltage prole improvement. Alexan-

dria Engineering Journal, 57 (2), 755{765.

Patjoshi, R.K., and Mahapatra, K. (2017) Highperformance

unied power quality conditioner using

non-linear sliding mode and new switching dynamics

control strategy. IET Power Electronics, 10 (8),


Panigrahi, R., Subudhi, B., and Panda, P.C. (2015)

A robust LQG servo control strategy of shuntactive

power lter for power quality enhancement.

IEEE Transactions on Power Electronics, 31 (4),


Panigrahi, R., Subudhi, B., and Panda, P.C. (2014)

Model predictive-based shunt active power lter with

a new reference current estimation strategy. IET

Power Electronics, 8 (2), 221{233.

Patjoshi, R.K., and Mahapatra, K. (2016) Highperformance

unied power quality conditioner using

command generator tracker-based direct adaptive

control strategy. IET Power Electronics, 9 (6),


Yavari, M., Edjtahed, S.H., and Taher, S.A. (2018)

A non-linear controller design for UPQC in distribution

systems. Alexandria engineering journal, 57 (4),


Patjoshi, R.K., and Mahapatra, K. (2016) Resistive

optimization with enhanced PLL based nonlinear variable

gain fuzzy hysteresis control strategy for unied

power quality conditioner. International Journal of

Electrical Power & Energy Systems, 83, 352{363.

Popescu, M., Bitoleanu, A., and Suru, V. (2012)

A DSP-based implementation of the pq theory in active

power ltering under nonideal voltage conditions.

IEEE Transactions on Industrial Informatics, 9 (2),


Patjoshi, R.K., and Mahapatra, K.K. (2013) Performance

comparison of direct and indirect current

control techniques applied to a sliding mode based

shunt active power lter. 2013 Annual IEEE India

Conference (INDICON), 1{5.

Kumar, R., Singh, B., Shahani, D.T., and Jain,

C. (2016) Dual-tree complex wavelet transform-based

control algorithm for power quality improvement in a

distribution system. IEEE transactions on industrial

electronics, 64 (1), 764{772.

Dirik, H., and Ozdemir, M. (2014) New extraction

method for active, reactive and individual harmonic

components from distorted current signal. IET

Generation, Transmission & Distribution, 8 (11),


Huang, C.-H., Lee, C.-H., Shih, K.-J., and Wang,

Y.-J. (2010) A robust technique for frequency estimation

of distorted signals in power systems. IEEE

Transactions on Instrumentation and Measurement,

(8), 2026{2036.

Dash, P.K., Jena, R.K., Panda, G., and Routray,

A. (2000) An extended complex Kalman lter for frequency

measurement of distorted signals. IEEE Trans-

actions on Instrumentation and Measurement, 49 (4),


Panigrahi, R., and Subudhi, B. (2016) Performance

Enhancement of Shunt Active Power Filter Hin

nity Control Strategy. IEEE Transactions on Power

Electronics, 32 (4), 2622{2630.

Panigrahi, R., Panda, P.C., and Subudhi, B.

(2014) A robust extended complex Kalman lter and

sliding-mode control based shunt active power lter.

Electric Power Components and Systems, 42 (5),


Kwan, K.H., So, P.L., and Chu, Y.C. (2012) An

output regulation-based unied power quality conditioner

with Kalman lters. IEEE Transactions on In-

dustrial Electronics, 59 (11), 4248{4262.

Costanza, V., Rivadeneira, P.S., and Munera,

J.A.G. (2016) Numerical treatment of the boundedcontrol

LQR problem by updating the nal phase

value. IEEE Latin America Transactions, 14 (6),


Bhawal, C., and Pal, D. (2019) Almost Every

Single-Input LQR Optimal Control Problem Admits

a PD Feedback Solution. IEEE Control Systems Let-

ters, 3 (2), 452{457.


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