In life thermodynamics, biological energy, in the context of biological system, e.g. an ecosystem, is a rather ill-defined term referring generally to extrapolations thermodynamic, kinetic, or potential energy in the context of biosystems. Use of this logic can be found in the works of Polish economist Leon Winiarsky and American physical chemist Alfred Lotka, among others. In biochemistry, within a biological body, biological energy tends to refer to Gibbs free energy involved in the driving of biological processes and reactions. [1]

In psychology, Wilhelm Reich’s orgone energy is sometimes referred to as a radiating “biological energy”, a sort of theoretical spin-off of psychic energy. [2]

References
1. Lehninger, Albert L. (1973). Bioenergetics - the Molecular Basis of Biological Energy Transformations (2nd ed.). London: The Benjamin/Cummings Publishing Co.
2. Reich, Wilhelm. (1973). The Function of the Orgasm: Sex-Economic Problems of Biological Energy. MacMillan.