# Investigation of the Mechanical and Electromechanical Starting Characteristics of an Asynchronous Electric Drive of a Two-Piston Marine Compressor

^{1}

^{2}

^{3}

^{4}

^{*}

## Abstract

**:**

## 1. Introduction

## 2. Construction of the Dependence between the Load Torque on the Compressor and the Angular Movement of the Motor Shaft

_{1}is the coefficient of the unit torque for the piston mechanism and D is the piston diameter, m.

^{−1}; λ = r/L is a dimensionless parameter of the crank mechanism and the ratio of the crank radius to the length of the connecting rod.

## 3. Mathematical Model and Decomposition.

_{max}was the critical torque of the electric motor, N∙m; s was the slip and s

_{c}was the critical slip of the electric motor.

_{j}) and the second was the centrifugal inertia force of the rotating masses (K

_{r}).

_{j}= −m

_{j}j

_{п}= −m

_{j}rω

^{2}(cosφ + λcos2φ) = P

_{j}

_{1}+ P

_{j}

_{2.}

_{j}) could be represented as the sum of the first and second order inertia forces, which varied according to the harmonic law depending on the crank angle. The main extreme values of the inertia force (P

_{j}), as well as the piston acceleration (j

_{p}), were at TDC and BDC. At TDC, the absolute value of the inertia force reached a maximum and at BDC, a minimum.

_{j}

_{max}= C(1 + λ); P

_{j}

_{min}= C(1 − λ).

_{j}) in the crank mechanism were presented as the free force (Pj’) (Figure 2), which acted along the cylinder axis and was equal to the force (Pj), variable with respect to the magnitude and sign.

_{e}, which could be found by calculation.

_{n}was the diameter of the crankshaft nose, m; l

_{n}was the crankshaft nose length, m and ρ was the density of the steel, kg/m

^{3}.

_{k}was the diameter of the crank journal, m and l

_{k}was the length of the crank journal, m.

_{sh}was the moment of inertia of the connecting rod journal relative to the axis of the shaft rotation and J

_{sh1}and J

_{sh2}were the moments of inertia of the crankshaft web without a counterweight and with a counterweight.

_{sh}was the moment of inertia of the connecting rod journal relative to the axis passing through the center of the shaft; m

_{sh}was the mass of the connecting rod journal, kg; R was the crank radius, m; d

_{sh}was the diameter of the connecting rod journal, m and l

_{sh}was the length of the connecting rod journal, m.

_{sh2}was the polar moment of inertia of the parallel piped mass relative to the axis passing through the center of gravity; m

_{sh2}was the crank web mass, kg and l, h

_{2}and b

_{2}were the thickness, width and height of the crank web, kg.

_{1}, e

_{1}and F

_{0}were the calculated coefficients for constructing the electromechanical characteristic [15].

## 4. The Results of the Numerical Modeling

## 5. Conclusions

## Author Contributions

## Funding

## Conflicts of Interest

## References

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**Figure 1.**Diagram of a piston compressor: 1: top dead center (TDC), 2: piston, 3: connecting rod, 4: cylinder walls, 5: bottom dead center (BDC), 6: crank, 7: shaft.

**Figure 2.**The calculated load torque of a double-piston compressor Bitzer 2CES-4Y-40S from the rotation angle of the electric motor in the form of tabulated values (1) and Fourier series (2).

**Figure 3.**Change in rotation speed (

**a**) and current (

**b**) when starting an electric motor with a flywheel.

**Figure 5.**System error and crash monitor on ships (An example of errors presented on the ship’s equipment for a service engineer).

Parameters | Value |
---|---|

Piston diameter | 55 mm |

Piston stroke | 39.3 mm |

Distance from BDC to the cover | 2 mm |

Overpressure | 32 bar |

Coolant | R134a |

Volume efficiency at | |

1450 r/min | 16.23 m^{3}/h |

1750 r/min | 19.60 m^{3}/h |

Protection index | IP65 |

Parameter | Value |
---|---|

Type | BA132M4 |

Rated power | 11 kW |

Rotation rate | 1445 r/min |

Rated current | 22.2 A |

Maximum torque coefficient | 3.2 |

Starting torque coefficient | 2.3 |

Starting current coefficient | 7.5 |

Value | Quantity |
---|---|

Tn | 0.115 c |

I_{mean} | 22.1 A |

$\Delta I$ | 5.714% |

ω_{mean} | 147.65 rad/s |

$\Delta w$ | 0.4% |

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**MDPI and ACS Style**

Chernyi, S.G.; Erofeev, P.; Novak, B.; Emelianov, V.
Investigation of the Mechanical and Electromechanical Starting Characteristics of an Asynchronous Electric Drive of a Two-Piston Marine Compressor. *J. Mar. Sci. Eng.* **2021**, *9*, 207.
https://doi.org/10.3390/jmse9020207

**AMA Style**

Chernyi SG, Erofeev P, Novak B, Emelianov V.
Investigation of the Mechanical and Electromechanical Starting Characteristics of an Asynchronous Electric Drive of a Two-Piston Marine Compressor. *Journal of Marine Science and Engineering*. 2021; 9(2):207.
https://doi.org/10.3390/jmse9020207

**Chicago/Turabian Style**

Chernyi, Sergei G., Pavel Erofeev, Bogdan Novak, and Vitalii Emelianov.
2021. "Investigation of the Mechanical and Electromechanical Starting Characteristics of an Asynchronous Electric Drive of a Two-Piston Marine Compressor" *Journal of Marine Science and Engineering* 9, no. 2: 207.
https://doi.org/10.3390/jmse9020207