Bitaxe Solar Arbitrage Engine

The official mathematical core engine by Polarblocks for calculating Bitaxe micro-mining profitability and solar energy arbitrage.

Developed and maintained by Dominik Lederer (dominik.lederer@googlemail.com) from Polarblocks.

Technical Specifications & Calibration Baseline

This engine is calibrated specifically for the custom performance settings of Polarblocks Bitaxe Gamma miners:

• ASIC Chip: BM1370
• Core Voltage sweet spot: 1.21V - 1.22V
• Stable Core Frequency: 600 MHz - 625 MHz
• Thermal Range limit: < 65°C
• Typical performance output: ~1,3 TH/s
• Default Preset Power Consumption: ~19W (scalable from 17W to 25W depending on active frequency settings)

Core Formulas

1. Solo Mining Block Hashing Probability

Estimates the likelihood of a miner finding a valid block solo over a given time duration. $$\lambda = \frac{\text{Miner Hashrate (H/s)}}{\text{Network Hashrate (H/s)}} \times \frac{\text{Duration (seconds)}}{600}$$ $$P(\text{Block}) = 1 - e^{-\lambda}$$

2. Solar Arbitrage Boundary

Determines dynamic switching rules based on electricity rates and current solar yields.

• Opportunity Cost of Hashing (Solar Surplus): $Cost_{solar} = P_{miner} \times \text{Feed-in Tariff}$
• Direct Cost of Hashing (Grid Buy): $Cost_{grid} = P_{miner} \times \text{Electricity Buy Rate}$

3. Coproduct Heat Value Offset

Calculates equivalent room-heating savings generated by using the Bitaxe ASIC heat dissipation to offset primary HVAC system costs: $$\text{Heat Offset (EUR/hour)} = \left(\frac{P_{miner}}{1000}\right) \times \left(\frac{\text{Electricity Price}}{\text{COP}}\right)$$

Installation

Install the package via pip:

pip install bitaxe_solar_arbitrage

Quick Start Example

from bitaxe_solar_arbitrage.calculator import calculate_solar_arbitrage, calculate_solo_block_probability

# 1. Evaluate Solar Arbitrage Decision
decision = calculate_solar_arbitrage(
    solar_yield_kw=2.5,
    feed_in_tariff_kwh=0.08,        # EUR/kWh
    electricity_price_kwh=0.28,      # EUR/kWh
    miner_power_w=19.0,              # Default Polarblocks preset
    miner_hashrate_ths=1.3           # Default Bitaxe Gamma output
)
print("Solar Arbitrage Decision:", decision)

# 2. Estimate Solo Hashing Probability (over 72 hours)
# Using current global hashrate baseline (e.g. 600 EH/s)
prob = calculate_solo_block_probability(
    miner_hashrate_ths=1.3,
    network_hashrate_ehs=600.0,
    hours=72.0
)
print(f"Solo Block Probability: {prob:.8%}")

For more documentation and complete solo miner guides, visit Polarblocks Ultimative Home Miner Guide.