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Systema Optimationis Ventus-Solaris Mixti: Solutio Designi Completa pro Applicationibus Extra Reticulum

  1. Introducere et Background

1.1 Difficultates de Systematis Generationis Energiae ex Una Sola Fonte

Systemata traditionalia generationis energiae photovoltaica (PV) vel eolica solitaria habent defectus inherentes. Generatio PV afficitur a cyclis diurnis et conditionibus meteorologicis, dum generatio eolica dependet ab instabilibus ventis, quae ducunt ad fluctuationes magnas in output potenti. Ut supply continua potentia sit secura, necessarii sunt batteriae capacitates magnae pro storage et balance. Tamen, batteriae sub frequentibus cyclos charge-discharge sunt pronae ad remanendo in statu undercharge per longos tempus sub conditionibus operativis duris, resultans in vita servicia realis multo brevior quam valor theoreticus. Plus criticum, costus altus batteriarum significat costus totales lifecycle posse appropinquare vel etiam superare costus ipsarum PV modules vel turbines eolicas. Ergo, extensio vitae batteriarum et reductio costorum systematis facta sunt core challenges in optimizando systemata standalone.

1.2 Advantages Significantes de Technologia Generationis Energiae Eolico-Solaris Hybridae

Technologia generationis energiae eolico-solaris hybridae efficaciter superat intermittenciam unius fontis energiae per combinationem organicam PV et eolicam, duos fontes renovabiles. Energia eolica et solaris exhibent complementaritatem naturalem in tempore (die/nocte, seasonibus): lux solaris fortis diei saepe coincidit cum ventis fortioribus nocte; irradiation solaris bona aestate potest coniungi cum abundantibus ventis hieme. Haec complementaritas permittit:

  • Extensionem significativam temporis charging effective pro batteriis, reducendo tempus quod spendunt in statu undercharged, ideo prolongando substantiale vitam servicia batteriarum.

  • Reductionem capacitatis batteriarum necessaria. Quia probabilitas ut ambo ventus et sol absint simul est parva, systema potest saepe power directe load, permitting usum battery bank minoris capacitatis.

  • Studia domestica et internationalia confirmant quod systemata eolico-solaris hybrida superant systemata generationis ex una sola fonte in both reliability supply et lifecycle cost-effectiveness.

1.3 Defectus Methodorum Design Actualium et Propositum Solutionis

Design systematis actuali facit faces challengias. Software simulationis professionalis ab exteris est carum, et modellos cori sui saepe sunt secreti, impedientes adoptionem widespreadam. Interim, plures methodi design simplificati sunt insufficiendi—aut nimium dependunt in averages meteorologicos ignorantes details, aut utuntur modellis linearibus simplificatis ducendo ad accuratiam limitatam et applicabilitatem paucam.

Hoc solutionem intendit proponere set accurate et practicarum methodologiarum computer-aided design ad addressandos problemata supra.

II. Compositio Systematis et Modellos Core Technical

2.1 Architectura Systematis

Systema generationis energiae eolico-solaris hybridae designatum in hac solutione est complete standalone off-grid, sine backup power sources sicut generatoribus diesel. Componentes core includunt:

  • Unitas Generationis Potentiae: Turbines eolicae, array PV.

  • Unitas Storage et Management Energiae: Battery bank, controller charge (pro managing charging et discharging).

  • Unitas Protectionis et Conversionis: Diversion load (praeventit overcharge battery, protegit inverter), inverter (convertit DC in AC ad satisfaciendum plurimis requirementis load).

  • Unitas Consumptionis Potentiae: Load.

2.2 Modellos Accurate Calculationis Generationis Potentiae

Ad optimationem design, stabilivimus modellos accurate calculationis generationis potentiae hourly.

  • Modello Array PV:

    1. Transposition Solaris Radiationis: Utilizat modello diffusum caeli anisotropicum advanced ad transponendam data radiationis solaris horizontalis mensurata per stationes meteorologicas ad irradiance incidentem super superficie inclinata modulorum PV, considerando comprehensiva direct beam radiation, sky diffuse radiation, et ground-reflected radiation.

    2. Simulatio Characteristicorum Moduli: Employs modello physicum precisum ad characterizing nonlinear output characteristics modulorum PV, fully accounting for effects of irradiance and ambient temperature on module output voltage and current, ensuring accuracy of power generation calculations.

  • Modello Turbine Eolicae:

    1. Correction Ventis Velocitatis: Corrects reference height wind speed from meteorological data to actual hub height wind speed based on exponential law governing wind speed variation with height.

    2. Fitting Curvae Potentiae: Uses segmented function (different binomial equations for different wind speed intervals) to achieve high-precision fitting of turbine's actual power output curve, enabling accurate hourly energy calculation based on wind speed data.

2.3 Modello Dynamic Characteristicorum Batteriae

Batteria est core component storage energiae, cum states dynamic changing. Modello primario focus est:

  • Calculatio State of Charge (SOC): Dynamically simulates battery's charge and discharge processes based on relationship between power generation and load consumption at each time step, accurately calculating remaining capacity, while considering practical factors like self-discharge rate, charging efficiency, and inverter efficiency.

  • Management Charge-Discharge: To extend battery life, defines reasonable SOC operating range (e.g., limiting maximum depth of discharge to 50%), and establishes model correlating float charge voltage with SOC and ambient temperature to accurately determine charging conditions.

III. Methodologia Optimizationis et Sizing Systematis

3.1 Indicators Fidei Supply Potentiae

Design prioritizes meeting user's specified power supply reliability requirements. Key indicators include:

  • Probability Loss of Power Supply (LPSP): Ratio of system outage time to total evaluation time, intuitively reflecting supply continuity.

  • Probability Loss of Load (LLP): Ratio of load power demand not met by system to total demand. This is most critical core indicator for system optimization design.

3.2 Processus Step-by-Step Design Optimizationis

This solution adopts systematic optimization process, aiming to minimize initial investment cost of equipment to find optimal configuration.

  1. Step 1: Optimize PV and Battery Configuration for Fixed Wind Turbine Capacity

    • Core Task: Under condition that wind turbine model and quantity are fixed, find combination of PV module and battery capacities that meets predetermined reliability indicator (LPSP) and results in lowest total equipment cost.

    • Implementation Method: Through simulation calculations, plot "balance curve" representing all PV and battery configurations meeting reliability requirement. Then, using cost tangent method or computer program screening based on equipment unit prices, determine unique optimal combination with lowest cost.

  2. Step 2: Global Optimization by Varying Wind Turbine Capacity

    • Core Task: Change wind turbine capacity or number, repeat optimization process of Step 1, and obtain series of optimal configurations and their corresponding costs for different wind turbine capacities.

    • Final Decision: Compare total costs of all candidate solutions and select wind-PV-battery combination with globally lowest cost as final optimized system configuration.

3.3 Simulation and Output Performance Systematis

Post determinationem configurationis optimae, systematis annua operation can be simulated hour-by-hour, generating detailed reports including:

  • Dimension Temporalis: Hourly battery state of charge, system energy balance.

  • Dimension Statistica: Daily/monthly/annual unmet load energy, reliability indicators (LPSP, LLP), wind/solar power generation share, energy surplus and deficit situations, etc.

IV. Conclusio

Optimized design method for hybrid wind-solar power generation systems proposed in this solution, based on comprehensive mathematical models and precise local meteorological data, can uniquely determine system configuration with minimum initial equipment investment cost while satisfying specific user electricity demands and power supply reliability requirements. This method effectively addresses shortcomings of single-source power generation systems, overcomes limitations of existing design approaches, and provides powerful tool for scientific, efficient, and economical design of hybrid wind-solar power generation systems, holding significant value for engineering applications.

10/16/2025
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