Burner systems configured to control at least one geometric characteristic of a flame and related methods

A burner system, comprising:

• a refractory body having a first exterior side surface and a second interior side surface;
• a plurality of first nozzles disposed adjacent to the first exterior side surface of the refractory body;
• a plurality of second nozzles disposed adjacent to the second exterior side surface of the refractory body;
• wherein the pluralities of first and second nozzles are configured to output fuel;
• a charger configured to inject charge into at least one of the fuel in communication with the pluralities of first and second nozzles, a flame generated by combustion of the fuel, or a flame area to provide a charge to the flame;
• at least one electrode disposed above the pluralities of first and second nozzles;
• a control system operably coupled to the at least one electrode, the control system configured to bias the at least one electrode to control a height of the flame.

A method of controlling a flame geometry, comprising:

• outputting fuel, respectively, from a plurality of nozzles disposed adjacent to a refractory body;
• charging at least one of the fuel or a flame generated from combustion of the fuel;
• and
• biasing at least one electrode positioned proximate to the plurality of nozzles to control the flame geometry.