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As a representative mathematical expression of power flow (PF) constraints inelectrical distribution system (EDS), the piecewise linearization (PWL) basedPF constraints have been widely used in different EDS optimization scenarios.However, the linearized approximation errors originating from thecurrently-used PWL approximation function can be very large and thus affect theapplicability of the PWL based PF constraints. This letter analyzes theapproximation error self-optimal (ESO) condition of the PWL approximationfunction, refines the PWL function formulas, and proposes the self-optimal(SO)-PWL based PF constraints in EDS optimization which can ensure the minimumapproximation errors. Numerical results demonstrate the effectiveness of theproposed method.

Self-optimal Piecewise Linearization Based Network Power Flow Constraints in Electrical Distribution System Optimization