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Vol. 161, Issue 12, December 2013, pp. 363-368




The Maximum Power Point Tracking Method Based on Lagrange Multiplier
1 Yuqiang LI, 1 Fengting LI, 1 Qin CHAO, 2 Guobing SONG

1 School of Electrical Engineering of Xinjiang University, Urumqi, 830047, China

2 School of Electrical Engineering of Xi'an Jiao Tong University, Xi'an, 710049, China

1 Tel.: +8613009621776, fax: +8609918592289
E-mail: 835556737@qq.com


Received: 18 September 2013   /Accepted: 22 November 2013   /Published: 30 December 2013

Digital Sensors and Sensor Sysstems


Abstract: Grid photovoltaic system (PV) is a nonlinear system, PV is easily affected by the grid work and the meteorological factors, and power output is volatile. Aiming at misjudging and tracking slow the problem of incremental conductance method, PV array model was built using MATLAB\ Simulink; the Lagrange multiplier algorithm was improved and optimized by using tracking differentiator based on Lagrange multipliers method in analysis. The simulation results showed that the Lagrange multiplier algorithm could rapidly and accurately tracking photovoltaic system maximum power using tracking differentiator after transformation, it could effectively inhibit various disturbances and reduce the misjudgment rate, the dynamic performance and stability of the system were better than the conventional incremental conductance method, thereby improving the robustness of the system.


Keywords: Lagrange multiplier algorithm, Photovoltaic system, Tracking differentiator, Maximum power point tracking.


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