This paper presents an optimal design of such a load distribution strategy using a mathematical optimization approach. The problem is formulated as a constrained nonlinear optimization problem using the total cost of the system operation as the cost functions. Both the equality and inequality constraints are included in the problem. The optimization problem is solved using the Kuhn-Tucker method. The closed-form solutions are obtained for the four different configurations with multiple combine heat and power units. Computer simulation results show that the proposed method outperforms those existing methods in terms of total costs.
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