Aiming at the problem that it is difficult to detect photovoltaic array faults with photovoltaic array model parameters in photovoltaic power stations, a photovoltaic array fault detection method based on a new model of series equivalent resistance is proposed. In this method, firstly, the mathematical model of series equivalent resistance of photovoltaic module is established based on the single diode model of photovoltaic module using the characteristics of this module when it operates at the maximum power point, short-circuit and open-circuit; secondly, a new model of series equivalent resistance of photovoltaic array is obtained based on the mathematical model of series equivalent resistance of newly constructed photovoltaic module; then, the series equivalent resistance fault model is proposed for the short-circuit, degradation and shadow faults; finally, the proposed new model is compared with three existing mathematical models of the series resistance of photovoltaic arrays to verify the validity and accuracy of the proposed new model of series equivalent resistance, and at the same time, its adaptability is verified in the case of short-circuit, degradation and shadow faults of photovoltaic arrays.