American Journal of Electrical Power and Energy Systems 2019; 8(5): 104-110 http://www.sciencepublishinggroup.com/j/epes doi: 10.11648/j.epes.20190805.11 ISSN: 2326-912X (Print); ISSN: 2326-9200 (Online) Reconfiguration of Solar Panels: Mathematical Model and Analysis Thanh Ngo Ngoc 1 , Ninh Nguyen Quang 2, * , Linh Bui Duy 3 1 Faculty of Information Technology, Electric Power University, Hanoi, Vietnam 2 Center for Research and Development on Renewable Energy Technology, Institute of Energy Science, IES-VAST, Hanoi, Vietnam 3 National Load Dispatch Centre, Vietnam Electricity, Hanoi, Vietnam Email address: * Corresponding author To cite this article: Thanh Ngo Ngoc, Ninh Nguyen Quang, Linh Bui Duy. Reconfiguration of Solar Panels: Mathematical Model and Analysis. American Journal of Electrical Power and Energy Systems. Vol. 8, No. 5, 2019, pp. 104-110. doi: 10.11648/j.epes.20190805.11 Received: August 2, 2019; Accepted: September 2, 2019; Published: September 17, 2019 Abstract: Balance solar radiation between photovoltaic panels or between groups of photovoltaic panels will help to improve the efficiency of electricity generation of the entire solar power system, making the most of the solar energy converted into electricity power. In order to achieve this, it is necessary to reconfigure the connection of photovoltaic panels or groups of photovoltaic panels in the solar power system. In this paper, the general mathematical model for implementing resconfiguring of photovoltaic panels or groups of photovoltaic panels is presented in 2 parts: calculating to find out the optimal configuration connecting photovoltaic panels or groups of photovoltaic panels to achieve the highest performance of the solar system; and find out the best way to switch from the initial connection configuration state to the optimal configuration. The author focuses on analyzing and proposing mathematical models for two main problems in previous studies, developing objective functions and clear constraints, which are the rationale for evaluation of the quality and accuracy of the proposed algorithms, thereby developing more optimal algorithms than previous algorithms. Several experimental studies have been applied on a system of 4 solar panels. The archived results demonstrated the correctness and efficiency of the proposed mathematical model and optimal algorithm. Keywords: Optimal, Reconfiguration, Mathematical Model, Solar Power System 1. Introduction Capacity generated by Photovoltaic panels in actual condition is often lower than standard working conditions [1- 6]. The main reasons for reducing the performance of Photovoltaic panels are solar radiation, temperature or the aging of photovoltaic panels [7-10]. The effects of solar radiation on the working process of the solar energy system (solar energy) and restructuring strategy to increase the working efficiency for the solar energy system in inhomogeneous radiation conditions has been researched and published at [11-14]. In essence, system restructuring is to change the connection of photovoltaic panels to achieve the optimal connection configuration, giving the system the maximum capacity. Currently, the restructure problem is applied to 2 main connection models of photovoltaic panels, Series-Parallel (SP) and TCT. In [11-14], the author has proposed a method to improve the performance of the solar energy system for TCT connection circuit. The current grid based solar energy system include the basic components such as: photovoltaic panels, energy converter, charged, load and grid. When photovoltaic panels receive solar radiation, generate DC current, through Inverter, have the function of charging into the charged unit, converting DC/AC to serve the load in the home or grid. Reconfiguration system is a device that increases the performance of the solar energy system in inhomogeneous radiation conditions, installed in front of the power adapter. In this article, the author presents a restructuring strategy for the solar energy system based on TCT connection configuration, thereby proposing a general mathematical model for two optimal problems in the restructuring strategy.