Table 6 The different established modes and scenarios.

From: Coordinated power management strategy for reliable hybridization of multi-source systems using hybrid MPPT algorithms

Cases

Equations

Scenarios

Mode 1 (M1)

\(\Delta {\text{P}} = 0\)

\({\text{P}}_{{{\text{Load}}}} = {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

\({\text{SOC}}_{{{\text{Batt}}}} \ge {\text{SOC}}_{{{\text{Batt}}\_{\text{max}}}}\)

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Mode 2 (M2)

\(\Delta {\text{P}} = 0\)

\({\text{P}}_{{{\text{Load}}}} = {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

\({\text{SOC}}_{{{\text{SC}}}} \ge {\text{SOC}}_{{{\text{SC}}\_{\text{max}}}}\)

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Mode 3 (M3)

\(\Delta {\text{P}} = 0\)

\({\text{P}}_{{L{\text{oad}}}} = {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

\({\text{SOC}}_{{{\text{Batt}}}} < {\text{SOC}}_{{{\text{Batt}}\_{\text{max}}}}\)

\({\text{SOC}}_{{{\text{SC}}}} < {\text{SOC}}_{{{\text{SC}}\_{\text{max}}}}\)

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Mode 4 (M4)

\(\Delta {\text{P}} > 0\)

\({\text{P}}_{{{\text{Load}}}} > {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

\({\text{SOC}}_{{{\text{Batt}}}} < {\text{SOC}}_{{{\text{Batt}}_{{{\text{min}}}} }}\)

\({\text{P}}_{{{\text{Batt}}}} = {\text{P}}_{{{\text{load}}}} - {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} - {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

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Mode 5 (M5)

\(\Delta {\text{P}} > 0\)

\({\text{P}}_{{{\text{Load}}}} > {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

\({\text{SOC}}_{{{\text{SC}}}} < {\text{SOC}}_{{{\text{SC}}\_{\text{min}}}}\)

\({\text{P}}_{{{\text{SC}}}} = {\text{P}}_{{{\text{load}}}} - {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} - {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

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Mode 6 (M6)

\(\Delta {\text{P}} > 0\)

\({\text{P}}_{Load} = {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)

\({\text{SOC}}_{{{\text{Batt}}}} < {\text{SOC}}_{{{\text{Batt}}_{{{\text{min}}}} }}\)

\({\text{SOC}}_{{{\text{SC}}}} < {\text{SOC}}_{{{\text{SC}}_{{{\text{min}}}} }}\)

\({\text{P}}_{{{\text{Batt}}}} = {\text{P}}_{{{\text{load}}}} - {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} - {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} /2\)

\({\text{P}}_{{{\text{SC}}}} = {\text{P}}_{{{\text{load}}}} - {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} - {\text{P}}_{{{\text{wind}} - {\text{optimal}}}}\)/2

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Mode 7 (M7)

\(\Delta {\text{P}} < 0\)

\({\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} = 0\)

\({\text{P}}_{{{\text{Load}}}} = {\text{P}}_{{{\text{Batt}}}}\)

\({\text{SOC}}_{{{\text{Batt}}}} > {\text{SOC}}_{{{\text{Batt}}\_{\text{min}}}}\)

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Mode 8 (M8)

\(\Delta {\text{P}} < 0\)

\({\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} > 0\)

\({\text{P}}_{{{\text{Load}}}} = {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} + {\text{P}}_{{{\text{Batt}}}}\)

\({\text{SOC}}_{{{\text{Batt}}}} > {\text{SOC}}_{{{\text{Batt}}\_{\text{min}}}}\)

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Mode 9 (M9)

\(\Delta {\text{P}} < 0\)

\({\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} = 0\)

\({\text{P}}_{{{\text{Load}}}} = {\text{P}}_{{{\text{SC}}}}\)

\({\text{SOC}}_{{{\text{SC}}}} > {\text{SOC}}_{{{\text{SC}}\_{\text{min}}}}\)

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Mode 10 (M10)

\(\Delta {\text{P}} < 0\)

\({\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} > 0\)

\({\text{P}}_{{{\text{Load}}}} = {\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} + {\text{P}}_{{{\text{SC}}}}\)

\({\text{SOC}}_{{{\text{SC}}}} > {\text{SOC}}_{{{\text{SC}}\_{\text{min}}}}\)

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Mode 11 (M11)

\(\Delta {\text{P}} < 0\)

\({\text{P}}_{{{\text{pv}} - {\text{optimal}}}} + {\text{P}}_{{{\text{wind}} - {\text{optimal}}}} > 0\)

\({\text{P}}_{{{\text{Load}}}} = 0\)

\({\text{SOC}}_{{{\text{Batt}}}} \le {\text{SOC}}_{{{\text{Batt}}_{{{\text{min}}}} }}\)

\({\text{SOC}}_{{{\text{SC}}}} \le {\text{SOC}}_{{{\text{SC}}\_{\text{min}}}}\)

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