Dryer appliances and related methods are disclosed. Such methods may include, or such appliances may be configured for, monitoring a temperature with a thermistor of a primary heat control system of the dryer appliance. The present disclosure also includes determining a relay signal is calling to close a relay and thereby activate a heating system of the dryer appliance and verifying that the relay is closed. The present disclosure further includes allowing a minimum relay on time to elapse after verifying that the relay is closed. The present disclosure also includes determining a temperature gradient of the monitored temperature based on a change in the monitored temperature over the minimum relay on time. The present disclosure further includes detecting a nuisance trip because the determined temperature gradient is negative.