Maximum Power Transfer Theorem

Improved Essays
According to maximum power transfer theorem, power delivered by the source to the load is maximum when the internal source impedance is approximately equal to the load impedance [138]. The output power of the PV panel is variable according to the solar irradiance and temperature as shown in Figure 4.7. Therefore, internal impedance of the PV panel is also variable according to variation in solar irradiance and temperature.

Figure 4.7 Characteristic of PV panel at variable solar irradiance
According to maximum power transfer theorem, to obtain maximum external power from a source with a finite internal resistance, the resistance of the load must equal the resistance of the source as viewed from its output terminals. In order to achieve the maximum power from the PV panels, the PV
…show more content…
The power consumption by the load is given as
The VPV and Ri are constant, then Consider = 0, then . Hence load can achieve maximum power when Ri = Ro.
The above explained simple method cannot be used to get the maximum power. To achieve the goal boost converter is used, which is shown in the Figure 4.9.

Figure 4.9 Circuit diagram of boost converter employed in PV system
The analysis is performed under the ideal condition. It is assumed that the load is pure resistive and impedance of the boost converter is neglected. The time period and duty cycle of the boost converter are denoted as D and T respectively.
When the IGBT switch is in ON state, the output voltage is: Vpv. D.T;
When the IGBT switch is in OFF state, the output voltage is: —(Vo- V p v). (1 — D). T;
As it is assumed that LB is pure inductor, the voltage across the inductor is zero. Therefore, the total output voltage is zero. Hence, (4.12)
The eq. (4.12) can also be written as: (4.13)
Eq. (4.13) gives the relation between output and input as Under the ideal condition, the boost converter will be lossless. Therefore, input power is equal to output power:
PPV = Po

Related Documents

  • Improved Essays

    Which is reached by making r = 0. Therefore P_(L_MAX )= E^2/R_L with an ideal source. Thus for a completely resistive circuit the internal resistance of a DC source should be equal to zero for maximum power transfer to the load resistance. The derivation of the maximum power transfer theorem for resistive and non-linear impedance AC circuits. I – Phasor current (ωL or-1/ωC)_L and (ωL or-1/ωC)_r= X_L and X_r respectively I = (E_rms∠0°)/(Z+Z_r ) = (E_rms∠0°)/(r+R_L+j(X_r+X_L)) P_L= |I|^2 R_L =R_L/(〖(r+R_L)〗^2+〖(X+X_L)〗^2 ) 〖E_rms〗^2 2.1) The maximum power transfer when we have the choice to decide both the load resistance and reactance.…

    • 771 Words
    • 4 Pages
    Improved Essays
  • Great Essays

    It is denoted by the symbol Q, and its magnitude is given by: Again, note how the equation converges for the resistive case where ø = 0 and sinø = 0, as there will be no reactive power at all. Reactive power is measured in VAR (also written Var or VAr), for volt-ampere reactive. We can represent power as a vector in the complex plane: namely, and arrow of length S (apparent power) that makes an angle ø with the real axis. The angle ø is the same as the phase difference between voltage and current. Therefore the VAR compensation improves the stability of ac system by increasing the maximum active power that can be transmitted.…

    • 1382 Words
    • 6 Pages
    Great Essays
  • Great Essays

    Ex. Consider a transmission line connected between load centre and generating station. We assume line is loss less and ignore line charging, then the power flow (P) is, P=V1V2 sin⁡(θ1-θ2)/X Where, X= transmission line reactance V1= sending end voltage V2= receiving end voltage Assume V1 and V2 are remain constant Power flow in the transmission line is obtained by the power injected throw power station. If…

    • 1664 Words
    • 7 Pages
    Great Essays
  • Superior Essays

    Wind Distortions Essay

    • 1836 Words
    • 8 Pages

    The flicker level depends on the shape, amplitude & repetition frequency of the fluctuated voltage waveform. IEC 61400-4-15 specifies flicker meter which can be used to measure flicker directly. Flicker coefficient gives dimensionless, normalized measure of flicker which doesn’t depend on short circuit apparent power of grid and situation of network. It gives a ratio of short circuit power and generated rated apparent power necessary to achieve long term flicker lever…

    • 1836 Words
    • 8 Pages
    Superior Essays
  • Improved Essays

    In this model no any chemical reaction is considered. (Barba et al.) modelled gasification by considering it to occur in two steps, in the first of which the biomass is decomposed at high temperature to give primary gas and carbonaceous residue and in the second there is modification in primary gas due to water gas shift reaction and steam reforming reaction. The total Gibbs free energy of a system is a function of Gibbs free energy of each of the components. For minimizing the Gibbs free energy, the mass of each individual element present in the gaseous mixture is considered.…

    • 905 Words
    • 4 Pages
    Improved Essays
  • Improved Essays

    PROCEDURE Maximum power and Norton’s Theorem will be performed to solve the unknowns within the given circuit. How to use both Maximum Power and Norton’s Theorem properly, are to be explained in order to solve a circuit using these approaches. THEORY MAXIMUM POWER Maximum power states that a load receives max power from a network when it’s resistance is exactly equal to the Thevenin and Norton resistance of the network supplying the power (as shown below): If the load resistance is higher or lower than the Thevenin/Norton equivalent then there would be no maximum power continued on next page: AT 0.5 Ω: AT 1.1 Ω In Max Power a bell curve graph would be used to show the correlation between power (R_L) versus resistance (R_S)…

    • 807 Words
    • 4 Pages
    Improved Essays
  • Superior Essays

    Power, measured in watts (W), is defined as the rate of absorbing or disbursing energy. Power is found by the equation P=IV [Power= CurrentsResistance]. The next calculation I found was the KVL sum. The KVL sum is Kirchhoff’s voltage law that says all the voltage around a closed path circuit equals zero. I also found the power conservation sum.…

    • 1403 Words
    • 6 Pages
    Superior Essays
  • Improved Essays

    When switch M is off for a duration (1-d)Ts, the diode D becomes forward-biased and forms a conduction path for the filter inductor current. The voltage across the filter inductor is the reverse of the output voltage. By using filter inductor volt-second balance rule, (VDC-Vo)dTs = Vo(1-d)Ts (1.1) Vo = dVDC (1.2) As observed from equation (1.2), the regulated output voltage (Vo) is lower than the input voltage(VDC). Interleaved Buck Converter has lots of attention due to its simple and low control complexity in application where no isolation , step-down conversion ratio, and high output current with low ripple are required [1]-[5]. Fig.1.1.Step-down (Buck) converter In the conventional IBC all active…

    • 1542 Words
    • 7 Pages
    Improved Essays
  • Improved Essays

    Resistivity In Wire

    • 1530 Words
    • 7 Pages

    V = I x R R = V/I *All of these variations of Ohm's Law are mathematically equal to one another. Let's look at what Ohm's Law tells us. In the first version of the formula, I = V/R, Ohm's Law tells us that the electrical current flowing in a circuit is directly proportional to the voltage and inversely proportional to the resistance. In other words, an increase in the voltage will tend to increase the current while an increase in resistance will tend to decrease the current. The second version of the formula tells us that if either the current or the resistance is increased in the circuit, the voltage will also have to increase.…

    • 1530 Words
    • 7 Pages
    Improved Essays
  • Improved Essays

    Thermodynamics

    • 861 Words
    • 4 Pages

    According to Hewitt, "The basic idea behind a heat engine, whether a steam engine, internal combustion engine, or jet engine, is that mechanical work can be obtained only when heat flows from a high temperature to a low temperature (Hewitt 475)." However, all the heat from the high temperature is not converted into work. Some heat flows into work, but most is in lost low temperature. If we wanted to know how much heat can be converted into work, we would have to find the Carnot efficiency. The Carnot efficiency of a heat engine is the ideal maximum percentage of input energy that the engine can convert to…

    • 861 Words
    • 4 Pages
    Improved Essays