Appendix A [1, 3, 4, 7] Analytical Solution of the Power Coordination Equation
A.1 Solution of First-Order Partial Differential Equation with Variable Coefficients (Canonical System)
The process of system optimization of interconnected energy sources ranging from static generating sources to electromechanical modes frequently involves solution of partial differential equations with variable coefficients.
It is the desire of the engineer and the researcher to look for a closed form of the solution instead of jumping into the process of numerical solution. The closed-form solution has direct reliance on the actual physical properties of the interconnected system and also mathematical testing for the physical realization of the system such as ...