Provided herein are improved current monitoring systems for monitoring currents having large ranges. A current monitor can include two or more current sensors. At least two of the current sensors can have different current measurement ranges and different current measurement sensitivities. Each current sensor can be associated with one or more current monitoring thresholds. A time delay or time threshold can correspond to each current monitoring threshold. Each current sensor can monitor a same current having a large range of possible current values. When a predetermined current threshold is exceeded for an amount of time exceeding a corresponding time threshold, a signal can be generated by the current sensor. The generated signal can indicate that the measured current exceeds the predetermined current threshold for the corresponding predetermined period of time.